28.391 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.057 * * [simplify]: iteration 0: 9 enodes 0.061 * * [simplify]: iteration 1: 17 enodes 0.067 * * [simplify]: iteration 2: 35 enodes 0.080 * * [simplify]: iteration 3: 46 enodes 0.089 * * [simplify]: iteration complete: 46 enodes 0.089 * * [simplify]: Extracting #0: cost 1 inf + 0 0.089 * * [simplify]: Extracting #1: cost 7 inf + 0 0.089 * * [simplify]: Extracting #2: cost 16 inf + 0 0.089 * * [simplify]: Extracting #3: cost 11 inf + 86 0.089 * * [simplify]: Extracting #4: cost 2 inf + 949 0.090 * * [simplify]: Extracting #5: cost 0 inf + 1114 0.090 * [simplify]: Simplified to: (+ (* y y) (* x (+ x (* y 2.0)))) 0.095 * * [progress]: iteration 1 / 4 0.095 * * * [progress]: picking best candidate 0.098 * * * * [pick]: Picked # 0.098 * * * [progress]: localizing error 0.119 * * * [progress]: generating rewritten candidates 0.119 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.130 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.144 * [backup-simplify]: Simplify (+ (* y y) (* x (+ x (* y 2.0)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.144 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (y x) around 0 0.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.144 * [taylor]: Taking taylor expansion of 2.0 in x 0.144 * [backup-simplify]: Simplify 2.0 into 2.0 0.144 * [taylor]: Taking taylor expansion of (* x y) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.144 * [taylor]: Taking taylor expansion of 2.0 in y 0.144 * [backup-simplify]: Simplify 2.0 into 2.0 0.144 * [taylor]: Taking taylor expansion of (* x y) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [backup-simplify]: Simplify x into x 0.145 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.145 * [taylor]: Taking taylor expansion of 2.0 in y 0.145 * [backup-simplify]: Simplify 2.0 into 2.0 0.145 * [taylor]: Taking taylor expansion of (* x y) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [backup-simplify]: Simplify x into x 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.145 * [backup-simplify]: Simplify (* x 0) into 0 0.146 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.146 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.146 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.146 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.146 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 0.147 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.147 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.147 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.147 * [taylor]: Taking taylor expansion of 2.0 in x 0.147 * [backup-simplify]: Simplify 2.0 into 2.0 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.148 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.148 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.149 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [taylor]: Taking taylor expansion of 1 in x 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.150 * [backup-simplify]: Simplify 2.0 into 2.0 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.151 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2.0)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 0.151 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.151 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.152 * [taylor]: Taking taylor expansion of 2.0 in x 0.152 * [backup-simplify]: Simplify 2.0 into 2.0 0.152 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.152 * [taylor]: Taking taylor expansion of (* x y) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (* 0 y) into 0 0.153 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.153 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow x 2) 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 (* x x) into (pow x 2) 0.153 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.154 * [taylor]: Taking taylor expansion of 2.0 in y 0.154 * [backup-simplify]: Simplify 2.0 into 2.0 0.154 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.154 * [taylor]: Taking taylor expansion of (* x y) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* x 0) into 0 0.154 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.154 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 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 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [backup-simplify]: Simplify x into x 0.155 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.155 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.155 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.155 * [taylor]: Taking taylor expansion of 2.0 in y 0.155 * [backup-simplify]: Simplify 2.0 into 2.0 0.155 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.155 * [taylor]: Taking taylor expansion of (* x y) in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [backup-simplify]: Simplify x into x 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* x 0) into 0 0.155 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.155 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [taylor]: Taking taylor expansion of 1 in x 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.157 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.157 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 0.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of 2.0 in x 0.157 * [backup-simplify]: Simplify 2.0 into 2.0 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 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) (+ (* 0 0) (* 0 1))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.159 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.159 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 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 (* 2.0 1) into 2.0 0.160 * [backup-simplify]: Simplify 2.0 into 2.0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.161 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 0.161 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.161 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 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 (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.162 * [taylor]: Taking taylor expansion of 2.0 in x 0.162 * [backup-simplify]: Simplify 2.0 into 2.0 0.162 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.162 * [taylor]: Taking taylor expansion of (* x y) 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 0.162 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (* 0 y) into 0 0.163 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.164 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.165 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.165 * [taylor]: Taking taylor expansion of 2.0 in y 0.165 * [backup-simplify]: Simplify 2.0 into 2.0 0.165 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.165 * [taylor]: Taking taylor expansion of (* x y) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [backup-simplify]: Simplify x into x 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 0.165 * [backup-simplify]: Simplify (* x 0) into 0 0.165 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.165 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.167 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.167 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.167 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.167 * [taylor]: Taking taylor expansion of 2.0 in y 0.167 * [backup-simplify]: Simplify 2.0 into 2.0 0.167 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.167 * [taylor]: Taking taylor expansion of (* x y) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [backup-simplify]: Simplify x into x 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* x 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.168 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [taylor]: Taking taylor expansion of 1 in x 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.170 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.170 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 0.170 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of 2.0 in x 0.170 * [backup-simplify]: Simplify 2.0 into 2.0 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.174 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.174 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.176 * [backup-simplify]: Simplify 2.0 into 2.0 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.177 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.177 * [backup-simplify]: Simplify (* x (+ x (* y 2.0))) into (* x (+ x (* 2.0 y))) 0.177 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [backup-simplify]: Simplify x into x 0.177 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [backup-simplify]: Simplify x into x 0.177 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.177 * [taylor]: Taking taylor expansion of 2.0 in y 0.177 * [backup-simplify]: Simplify 2.0 into 2.0 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.178 * [taylor]: Taking taylor expansion of 2.0 in x 0.178 * [backup-simplify]: Simplify 2.0 into 2.0 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [backup-simplify]: Simplify y into y 0.178 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.178 * [taylor]: Taking taylor expansion of 2.0 in x 0.178 * [backup-simplify]: Simplify 2.0 into 2.0 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [backup-simplify]: Simplify y into y 0.178 * [backup-simplify]: Simplify (* 2.0 y) into (* 2.0 y) 0.178 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.178 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 y)) into 0 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y) 0.180 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.180 * [taylor]: Taking taylor expansion of 2.0 in y 0.180 * [backup-simplify]: Simplify 2.0 into 2.0 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 y))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.184 * [backup-simplify]: Simplify 2.0 into 2.0 0.184 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2.0 y))))) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2.0 y)))))) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.191 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2.0))) into (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) 0.191 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in y 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [backup-simplify]: Simplify x into x 0.192 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.192 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.192 * [taylor]: Taking taylor expansion of 2.0 in y 0.192 * [backup-simplify]: Simplify 2.0 into 2.0 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [backup-simplify]: Simplify x into x 0.192 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.193 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.193 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.193 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.193 * [taylor]: Taking taylor expansion of 2.0 in x 0.193 * [backup-simplify]: Simplify 2.0 into 2.0 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [backup-simplify]: Simplify y into y 0.193 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.194 * [taylor]: Taking taylor expansion of 2.0 in x 0.194 * [backup-simplify]: Simplify 2.0 into 2.0 0.194 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [backup-simplify]: Simplify y into y 0.194 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of 1 in y 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.195 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.196 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.196 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.196 * [taylor]: Taking taylor expansion of 2.0 in y 0.196 * [backup-simplify]: Simplify 2.0 into 2.0 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.196 * [backup-simplify]: Simplify 2.0 into 2.0 0.196 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.197 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.207 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) 0.207 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in y 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [backup-simplify]: Simplify x into x 0.207 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.207 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.208 * [taylor]: Taking taylor expansion of 2.0 in y 0.208 * [backup-simplify]: Simplify 2.0 into 2.0 0.208 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [backup-simplify]: Simplify x into x 0.212 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.212 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.212 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.212 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.213 * [taylor]: Taking taylor expansion of 2.0 in x 0.213 * [backup-simplify]: Simplify 2.0 into 2.0 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [backup-simplify]: Simplify y into y 0.213 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.214 * [taylor]: Taking taylor expansion of 2.0 in x 0.214 * [backup-simplify]: Simplify 2.0 into 2.0 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of 1 in y 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.215 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.216 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.216 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.216 * [taylor]: Taking taylor expansion of 2.0 in y 0.216 * [backup-simplify]: Simplify 2.0 into 2.0 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.216 * [backup-simplify]: Simplify 2.0 into 2.0 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.227 * * * [progress]: simplifying candidates 0.227 * [simplify]: Simplifying: (* (exp (* y y)) (exp (* x (+ x (* y 2.0))))) (log (+ (* y y) (* x (+ x (* y 2.0))))) (exp (+ (* y y) (* x (+ x (* y 2.0))))) (* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0)))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (* (* (+ (* y y) (* x (+ x (* y 2.0)))) (+ (* y y) (* x (+ x (* y 2.0))))) (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (+ (pow (* y y) 3) (pow (* x (+ x (* y 2.0))) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))) (* (* y y) (* x (+ x (* y 2.0)))))) (- (* (* y y) (* y y)) (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0))))) (- (* y y) (* x (+ x (* y 2.0)))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* x (+ x (* y 2.0))) (+ (log x) (log (+ x (* y 2.0)))) (log (* x (+ x (* y 2.0)))) (exp (* x (+ x (* y 2.0)))) (* (* (* x x) x) (* (* (+ x (* y 2.0)) (+ x (* y 2.0))) (+ x (* y 2.0)))) (* (cbrt (* x (+ x (* y 2.0)))) (cbrt (* x (+ x (* y 2.0))))) (cbrt (* x (+ x (* y 2.0)))) (* (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))) (* x (+ x (* y 2.0)))) (sqrt (* x (+ x (* y 2.0)))) (sqrt (* x (+ x (* y 2.0)))) (* (sqrt x) (sqrt (+ x (* y 2.0)))) (* (sqrt x) (sqrt (+ x (* y 2.0)))) (* x x) (* x (* y 2.0)) (* x x) (* (* y 2.0) x) (* x (* (cbrt (+ x (* y 2.0))) (cbrt (+ x (* y 2.0))))) (* x (sqrt (+ x (* y 2.0)))) (* x 1) (* (cbrt x) (+ x (* y 2.0))) (* (sqrt x) (+ x (* y 2.0))) (* x (+ x (* y 2.0))) (* x (+ (pow x 3) (pow (* y 2.0) 3))) (* x (- (* x x) (* (* y 2.0) (* y 2.0)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.228 * * [simplify]: iteration 0: 71 enodes 0.261 * * [simplify]: iteration 1: 238 enodes 0.390 * * [simplify]: iteration 2: 1029 enodes 0.964 * * [simplify]: iteration complete: 5004 enodes 0.964 * * [simplify]: Extracting #0: cost 31 inf + 0 0.965 * * [simplify]: Extracting #1: cost 357 inf + 1 0.971 * * [simplify]: Extracting #2: cost 1449 inf + 3174 0.991 * * [simplify]: Extracting #3: cost 1969 inf + 35562 1.069 * * [simplify]: Extracting #4: cost 817 inf + 281690 1.173 * * [simplify]: Extracting #5: cost 82 inf + 465865 1.347 * * [simplify]: Extracting #6: cost 6 inf + 484472 1.469 * * [simplify]: Extracting #7: cost 0 inf + 486151 1.598 * [simplify]: Simplified to: (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (log (+ (* y y) (* x (+ (* 2.0 y) x)))) (exp (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x))))) (cbrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (* (* (+ (* y y) (* x (+ (* 2.0 y) x))) (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (sqrt (+ (* y y) (* x (+ (* 2.0 y) x)))) (+ (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (* (* y y) (* (* y y) (* y y)))) (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (- (* y y) (* x (+ (* 2.0 y) x))))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* y y) (* x (+ (* 2.0 y) x))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (* x (+ (* 2.0 y) x)) (log (* x (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* x x) (* x (* 2.0 y)) (* x x) (* (* x 2.0) y) (* (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x))) x) (* x (sqrt (+ (* 2.0 y) x))) x (* (cbrt x) (+ x (* 2.0 y))) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* (* x x) x) (* (* (* 2.0 y) (* 2.0 y)) (* 2.0 y)))) (* x (- (* x x) (* (* 2.0 y) (* 2.0 y)))) (+ (* y y) (+ (* x x) (* (* x 2.0) y))) (+ (* y y) (+ (* x x) (* (* x 2.0) y))) (+ (* y y) (+ (* x x) (* (* x 2.0) y))) (+ (* (* x 2.0) y) (* x x)) (+ (* (* x 2.0) y) (* x x)) (+ (* (* x 2.0) y) (* x x)) 1.602 * * * [progress]: adding candidates to table 1.792 * * [progress]: iteration 2 / 4 1.792 * * * [progress]: picking best candidate 1.800 * * * * [pick]: Picked # 1.801 * * * [progress]: localizing error 1.836 * * * [progress]: generating rewritten candidates 1.836 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.849 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.856 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.867 * * * [progress]: generating series expansions 1.867 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.867 * [backup-simplify]: Simplify (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) 1.867 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in (y x) around 0 1.867 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x 1.868 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 1.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.868 * [taylor]: Taking taylor expansion of y in x 1.868 * [backup-simplify]: Simplify y into y 1.868 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 1.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.868 * [taylor]: Taking taylor expansion of x in x 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.868 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.868 * [taylor]: Taking taylor expansion of 2.0 in x 1.868 * [backup-simplify]: Simplify 2.0 into 2.0 1.868 * [taylor]: Taking taylor expansion of (* x y) in x 1.868 * [taylor]: Taking taylor expansion of x in x 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.868 * [taylor]: Taking taylor expansion of y in x 1.868 * [backup-simplify]: Simplify y into y 1.868 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.868 * [backup-simplify]: Simplify (* 0 y) into 0 1.869 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.869 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.869 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.870 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.870 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.871 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.871 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0 1.871 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in y 1.871 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 1.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.871 * [taylor]: Taking taylor expansion of y in y 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 1.871 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.871 * [taylor]: Taking taylor expansion of x in y 1.871 * [backup-simplify]: Simplify x into x 1.871 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.871 * [taylor]: Taking taylor expansion of 2.0 in y 1.871 * [backup-simplify]: Simplify 2.0 into 2.0 1.871 * [taylor]: Taking taylor expansion of (* x y) in y 1.871 * [taylor]: Taking taylor expansion of x in y 1.871 * [backup-simplify]: Simplify x into x 1.871 * [taylor]: Taking taylor expansion of y in y 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.871 * [backup-simplify]: Simplify (* x 0) into 0 1.872 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.872 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.872 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.872 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.872 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.873 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.873 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 1.873 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.873 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.873 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0 1.873 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in y 1.874 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 1.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.874 * [taylor]: Taking taylor expansion of y in y 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 1.874 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.874 * [taylor]: Taking taylor expansion of x in y 1.874 * [backup-simplify]: Simplify x into x 1.874 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.874 * [taylor]: Taking taylor expansion of 2.0 in y 1.874 * [backup-simplify]: Simplify 2.0 into 2.0 1.874 * [taylor]: Taking taylor expansion of (* x y) in y 1.874 * [taylor]: Taking taylor expansion of x in y 1.874 * [backup-simplify]: Simplify x into x 1.874 * [taylor]: Taking taylor expansion of y in y 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.874 * [backup-simplify]: Simplify (* x 0) into 0 1.874 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.875 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.875 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.875 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.875 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.875 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.876 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 1.876 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.876 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.876 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0 1.876 * [taylor]: Taking taylor expansion of x in x 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [taylor]: Taking taylor expansion of 1.0 in x 1.876 * [backup-simplify]: Simplify 1.0 into 1.0 1.876 * [backup-simplify]: Simplify 1.0 into 1.0 1.876 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (* 1 1) into 1 1.877 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.878 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.879 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (+ 1 0) into 1 1.881 * [backup-simplify]: Simplify (/ (- 1 (pow 1.0 2) (+)) (* 2 x)) into 0 1.881 * [taylor]: Taking taylor expansion of 0 in x 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.883 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.883 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.884 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 x)) into 0 1.886 * [taylor]: Taking taylor expansion of 0 in x 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1.0 (* 1 y))) into (+ x (* 1.0 y)) 1.887 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2.0))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) 1.887 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (y x) around 0 1.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.887 * [taylor]: Taking taylor expansion of y in x 1.887 * [backup-simplify]: Simplify y into y 1.887 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.887 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify (* 1 1) into 1 1.888 * [backup-simplify]: Simplify (/ 1 1) into 1 1.888 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.888 * [taylor]: Taking taylor expansion of 2.0 in x 1.888 * [backup-simplify]: Simplify 2.0 into 2.0 1.888 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.888 * [taylor]: Taking taylor expansion of (* x y) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [taylor]: Taking taylor expansion of y in x 1.888 * [backup-simplify]: Simplify y into y 1.888 * [backup-simplify]: Simplify (* 0 y) into 0 1.889 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.889 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.889 * [backup-simplify]: Simplify (+ 1 0) into 1 1.890 * [backup-simplify]: Simplify (+ 0 1) into 1 1.890 * [backup-simplify]: Simplify (sqrt 1) into 1 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.891 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.891 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.892 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 1.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 1.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.892 * [taylor]: Taking taylor expansion of y in y 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (* 1 1) into 1 1.893 * [backup-simplify]: Simplify (/ 1 1) into 1 1.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.893 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.893 * [taylor]: Taking taylor expansion of x in y 1.893 * [backup-simplify]: Simplify x into x 1.893 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.893 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.893 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.893 * [taylor]: Taking taylor expansion of 2.0 in y 1.893 * [backup-simplify]: Simplify 2.0 into 2.0 1.893 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.894 * [taylor]: Taking taylor expansion of (* x y) in y 1.894 * [taylor]: Taking taylor expansion of x in y 1.894 * [backup-simplify]: Simplify x into x 1.894 * [taylor]: Taking taylor expansion of y in y 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (* x 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.899 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.900 * [backup-simplify]: Simplify (+ 1 0) into 1 1.900 * [backup-simplify]: Simplify (sqrt 1) into 1 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.902 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.902 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 1.902 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 1.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.902 * [taylor]: Taking taylor expansion of y in y 1.902 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (* 1 1) into 1 1.903 * [backup-simplify]: Simplify (/ 1 1) into 1 1.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.903 * [taylor]: Taking taylor expansion of x in y 1.903 * [backup-simplify]: Simplify x into x 1.904 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.904 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.904 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.904 * [taylor]: Taking taylor expansion of 2.0 in y 1.904 * [backup-simplify]: Simplify 2.0 into 2.0 1.904 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.904 * [taylor]: Taking taylor expansion of (* x y) in y 1.904 * [taylor]: Taking taylor expansion of x in y 1.904 * [backup-simplify]: Simplify x into x 1.904 * [taylor]: Taking taylor expansion of y in y 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (* x 0) into 0 1.905 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.905 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.905 * [backup-simplify]: Simplify (+ 1 0) into 1 1.906 * [backup-simplify]: Simplify (sqrt 1) into 1 1.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.907 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.907 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 1.908 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 1.908 * [taylor]: Taking taylor expansion of 1 in x 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [backup-simplify]: Simplify 1.0 into 1.0 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.909 * [backup-simplify]: Simplify 1.0 into 1.0 1.909 * [backup-simplify]: Simplify 1 into 1 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.912 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.913 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 1.913 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow (/ 1.0 x) 2) (+)) (* 2 1)) into 0 1.914 * [taylor]: Taking taylor expansion of 0 in x 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.918 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.919 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 x) 0)))) (* 2 1)) into 0 1.921 * [taylor]: Taking taylor expansion of 0 in x 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.926 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.927 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 x) 0)))) (* 2 1)) into 0 1.929 * [taylor]: Taking taylor expansion of 0 in x 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 y)))) (* 1.0 (* (/ 1 (/ 1 x)) 1))) into (+ (* 1.0 x) y) 1.930 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) 1.930 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (y x) around 0 1.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.930 * [taylor]: Taking taylor expansion of y in x 1.930 * [backup-simplify]: Simplify y into y 1.931 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.931 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (* 1 1) into 1 1.932 * [backup-simplify]: Simplify (/ 1 1) into 1 1.932 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.932 * [taylor]: Taking taylor expansion of 2.0 in x 1.932 * [backup-simplify]: Simplify 2.0 into 2.0 1.932 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.932 * [taylor]: Taking taylor expansion of (* x y) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [taylor]: Taking taylor expansion of y in x 1.932 * [backup-simplify]: Simplify y into y 1.932 * [backup-simplify]: Simplify (* 0 y) into 0 1.932 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.932 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.933 * [backup-simplify]: Simplify (+ 1 0) into 1 1.933 * [backup-simplify]: Simplify (+ 0 1) into 1 1.934 * [backup-simplify]: Simplify (sqrt 1) into 1 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.935 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.935 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.936 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 1.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.936 * [taylor]: Taking taylor expansion of y in y 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (* 1 1) into 1 1.937 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.937 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.937 * [taylor]: Taking taylor expansion of x in y 1.937 * [backup-simplify]: Simplify x into x 1.937 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.938 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.938 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.938 * [taylor]: Taking taylor expansion of 2.0 in y 1.938 * [backup-simplify]: Simplify 2.0 into 2.0 1.938 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.938 * [taylor]: Taking taylor expansion of (* x y) in y 1.938 * [taylor]: Taking taylor expansion of x in y 1.938 * [backup-simplify]: Simplify x into x 1.938 * [taylor]: Taking taylor expansion of y in y 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (* x 0) into 0 1.938 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.938 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.939 * [backup-simplify]: Simplify (+ 1 0) into 1 1.940 * [backup-simplify]: Simplify (sqrt 1) into 1 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.941 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.941 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 1.942 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 1.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.942 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.942 * [taylor]: Taking taylor expansion of y in y 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (* 1 1) into 1 1.943 * [backup-simplify]: Simplify (/ 1 1) into 1 1.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.943 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.943 * [taylor]: Taking taylor expansion of x in y 1.943 * [backup-simplify]: Simplify x into x 1.943 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.943 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.943 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.943 * [taylor]: Taking taylor expansion of 2.0 in y 1.943 * [backup-simplify]: Simplify 2.0 into 2.0 1.943 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.943 * [taylor]: Taking taylor expansion of (* x y) in y 1.944 * [taylor]: Taking taylor expansion of x in y 1.944 * [backup-simplify]: Simplify x into x 1.944 * [taylor]: Taking taylor expansion of y in y 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* x 0) into 0 1.944 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.944 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.945 * [backup-simplify]: Simplify (+ 1 0) into 1 1.945 * [backup-simplify]: Simplify (sqrt 1) into 1 1.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.947 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.947 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 1.947 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 1.947 * [taylor]: Taking taylor expansion of 1 in x 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [backup-simplify]: Simplify 1.0 into 1.0 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.948 * [backup-simplify]: Simplify 1.0 into 1.0 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.952 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.952 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 1.953 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow (/ 1.0 x) 2) (+)) (* 2 1)) into 0 1.953 * [taylor]: Taking taylor expansion of 0 in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.957 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 x) 0)))) (* 2 1)) into 0 1.960 * [taylor]: Taking taylor expansion of 0 in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.965 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.966 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 x) 0)))) (* 2 1)) into 0 1.968 * [taylor]: Taking taylor expansion of 0 in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- y))))) (* 1.0 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ (* 1.0 x) y)) 1.969 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.969 * [backup-simplify]: Simplify (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) 1.969 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in (y x) around 0 1.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x 1.969 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 1.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.969 * [taylor]: Taking taylor expansion of y in x 1.969 * [backup-simplify]: Simplify y into y 1.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 1.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.970 * [taylor]: Taking taylor expansion of 2.0 in x 1.970 * [backup-simplify]: Simplify 2.0 into 2.0 1.970 * [taylor]: Taking taylor expansion of (* x y) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [taylor]: Taking taylor expansion of y in x 1.970 * [backup-simplify]: Simplify y into y 1.970 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.970 * [backup-simplify]: Simplify (* 0 y) into 0 1.971 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.972 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.972 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.972 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.972 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.973 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.973 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.973 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0 1.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in y 1.973 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 1.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.973 * [taylor]: Taking taylor expansion of y in y 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 1.973 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.973 * [taylor]: Taking taylor expansion of x in y 1.973 * [backup-simplify]: Simplify x into x 1.973 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.973 * [taylor]: Taking taylor expansion of 2.0 in y 1.973 * [backup-simplify]: Simplify 2.0 into 2.0 1.973 * [taylor]: Taking taylor expansion of (* x y) in y 1.973 * [taylor]: Taking taylor expansion of x in y 1.973 * [backup-simplify]: Simplify x into x 1.973 * [taylor]: Taking taylor expansion of y in y 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.974 * [backup-simplify]: Simplify (* x 0) into 0 1.974 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.974 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.974 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.974 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.975 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.975 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.976 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 1.976 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.976 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.976 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0 1.976 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in y 1.976 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 1.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.976 * [taylor]: Taking taylor expansion of y in y 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 1.976 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.976 * [taylor]: Taking taylor expansion of x in y 1.976 * [backup-simplify]: Simplify x into x 1.976 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.976 * [taylor]: Taking taylor expansion of 2.0 in y 1.976 * [backup-simplify]: Simplify 2.0 into 2.0 1.976 * [taylor]: Taking taylor expansion of (* x y) in y 1.977 * [taylor]: Taking taylor expansion of x in y 1.977 * [backup-simplify]: Simplify x into x 1.977 * [taylor]: Taking taylor expansion of y in y 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.977 * [backup-simplify]: Simplify (* x 0) into 0 1.977 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.977 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.978 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.978 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.978 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.978 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.979 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 1.979 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.979 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.979 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [taylor]: Taking taylor expansion of 1.0 in x 1.979 * [backup-simplify]: Simplify 1.0 into 1.0 1.979 * [backup-simplify]: Simplify 1.0 into 1.0 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (* 1 1) into 1 1.980 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.981 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify (+ 1 0) into 1 1.984 * [backup-simplify]: Simplify (/ (- 1 (pow 1.0 2) (+)) (* 2 x)) into 0 1.984 * [taylor]: Taking taylor expansion of 0 in x 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.986 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.987 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 x)) into 0 1.990 * [taylor]: Taking taylor expansion of 0 in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1.0 (* 1 y))) into (+ x (* 1.0 y)) 1.990 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2.0))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) 1.990 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (y x) around 0 1.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x 1.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.990 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.991 * [taylor]: Taking taylor expansion of y in x 1.991 * [backup-simplify]: Simplify y into y 1.991 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.991 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.992 * [taylor]: Taking taylor expansion of 2.0 in x 1.992 * [backup-simplify]: Simplify 2.0 into 2.0 1.992 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.992 * [taylor]: Taking taylor expansion of (* x y) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [taylor]: Taking taylor expansion of y in x 1.992 * [backup-simplify]: Simplify y into y 1.992 * [backup-simplify]: Simplify (* 0 y) into 0 1.993 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.993 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.993 * [backup-simplify]: Simplify (+ 1 0) into 1 1.993 * [backup-simplify]: Simplify (+ 0 1) into 1 1.994 * [backup-simplify]: Simplify (sqrt 1) into 1 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.996 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.996 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 1.996 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 1.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y 1.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.996 * [taylor]: Taking taylor expansion of y in y 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* 1 1) into 1 1.997 * [backup-simplify]: Simplify (/ 1 1) into 1 1.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.997 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.997 * [taylor]: Taking taylor expansion of x in y 1.997 * [backup-simplify]: Simplify x into x 1.998 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.998 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.998 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.998 * [taylor]: Taking taylor expansion of 2.0 in y 1.998 * [backup-simplify]: Simplify 2.0 into 2.0 1.998 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.998 * [taylor]: Taking taylor expansion of (* x y) in y 1.998 * [taylor]: Taking taylor expansion of x in y 1.998 * [backup-simplify]: Simplify x into x 1.998 * [taylor]: Taking taylor expansion of y in y 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (* x 0) into 0 1.998 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.999 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.999 * [backup-simplify]: Simplify (+ 1 0) into 1 1.999 * [backup-simplify]: Simplify (sqrt 1) into 1 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 2.001 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 2.001 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 2.002 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 2.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y 2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.002 * [taylor]: Taking taylor expansion of y in y 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (* 1 1) into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.003 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.003 * [taylor]: Taking taylor expansion of x in y 2.003 * [backup-simplify]: Simplify x into x 2.003 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.003 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.003 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.003 * [taylor]: Taking taylor expansion of 2.0 in y 2.003 * [backup-simplify]: Simplify 2.0 into 2.0 2.003 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.003 * [taylor]: Taking taylor expansion of (* x y) in y 2.003 * [taylor]: Taking taylor expansion of x in y 2.003 * [backup-simplify]: Simplify x into x 2.003 * [taylor]: Taking taylor expansion of y in y 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (* x 0) into 0 2.004 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.004 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.004 * [backup-simplify]: Simplify (+ 1 0) into 1 2.005 * [backup-simplify]: Simplify (sqrt 1) into 1 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 2.006 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 2.007 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 2.007 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 2.007 * [taylor]: Taking taylor expansion of 1 in x 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 2.007 * [taylor]: Taking taylor expansion of 1.0 in x 2.007 * [backup-simplify]: Simplify 1.0 into 1.0 2.007 * [taylor]: Taking taylor expansion of x in x 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.008 * [backup-simplify]: Simplify 1.0 into 1.0 2.008 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.011 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 2.012 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.012 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.013 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow (/ 1.0 x) 2) (+)) (* 2 1)) into 0 2.013 * [taylor]: Taking taylor expansion of 0 in x 2.013 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.017 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 x) 0)))) (* 2 1)) into 0 2.020 * [taylor]: Taking taylor expansion of 0 in x 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.025 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.028 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 x) 0)))) (* 2 1)) into 0 2.028 * [taylor]: Taking taylor expansion of 0 in x 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 y)))) (* 1.0 (* (/ 1 (/ 1 x)) 1))) into (+ (* 1.0 x) y) 2.029 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) 2.029 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (y x) around 0 2.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.029 * [taylor]: Taking taylor expansion of y in x 2.029 * [backup-simplify]: Simplify y into y 2.029 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.029 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (* 1 1) into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.030 * [taylor]: Taking taylor expansion of 2.0 in x 2.030 * [backup-simplify]: Simplify 2.0 into 2.0 2.030 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.030 * [taylor]: Taking taylor expansion of (* x y) in x 2.030 * [taylor]: Taking taylor expansion of x in x 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of y in x 2.030 * [backup-simplify]: Simplify y into y 2.030 * [backup-simplify]: Simplify (* 0 y) into 0 2.031 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.031 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.031 * [backup-simplify]: Simplify (+ 1 0) into 1 2.032 * [backup-simplify]: Simplify (+ 0 1) into 1 2.032 * [backup-simplify]: Simplify (sqrt 1) into 1 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 2.034 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.034 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 2.034 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y) 2.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y 2.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.035 * [taylor]: Taking taylor expansion of y in y 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.036 * [taylor]: Taking taylor expansion of x in y 2.036 * [backup-simplify]: Simplify x into x 2.036 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.036 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.036 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.036 * [taylor]: Taking taylor expansion of 2.0 in y 2.036 * [backup-simplify]: Simplify 2.0 into 2.0 2.036 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.036 * [taylor]: Taking taylor expansion of (* x y) in y 2.036 * [taylor]: Taking taylor expansion of x in y 2.036 * [backup-simplify]: Simplify x into x 2.036 * [taylor]: Taking taylor expansion of y in y 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (* x 0) into 0 2.037 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.037 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.037 * [backup-simplify]: Simplify (+ 1 0) into 1 2.038 * [backup-simplify]: Simplify (sqrt 1) into 1 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 2.039 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 2.039 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 2.040 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 2.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y 2.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.040 * [taylor]: Taking taylor expansion of y in y 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (* 1 1) into 1 2.041 * [backup-simplify]: Simplify (/ 1 1) into 1 2.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.041 * [taylor]: Taking taylor expansion of x in y 2.041 * [backup-simplify]: Simplify x into x 2.041 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.041 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.041 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.041 * [taylor]: Taking taylor expansion of 2.0 in y 2.041 * [backup-simplify]: Simplify 2.0 into 2.0 2.041 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.041 * [taylor]: Taking taylor expansion of (* x y) in y 2.041 * [taylor]: Taking taylor expansion of x in y 2.042 * [backup-simplify]: Simplify x into x 2.042 * [taylor]: Taking taylor expansion of y in y 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (* x 0) into 0 2.042 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.042 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.043 * [backup-simplify]: Simplify (+ 1 0) into 1 2.043 * [backup-simplify]: Simplify (sqrt 1) into 1 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 2.045 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 2.045 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 2.045 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x) 2.045 * [taylor]: Taking taylor expansion of 1 in x 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 2.046 * [taylor]: Taking taylor expansion of 1.0 in x 2.046 * [backup-simplify]: Simplify 1.0 into 1.0 2.046 * [taylor]: Taking taylor expansion of x in x 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.046 * [backup-simplify]: Simplify 1.0 into 1.0 2.046 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 2.050 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow (/ 1.0 x) 2) (+)) (* 2 1)) into 0 2.051 * [taylor]: Taking taylor expansion of 0 in x 2.051 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.056 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 x) 0)))) (* 2 1)) into 0 2.057 * [taylor]: Taking taylor expansion of 0 in x 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.060 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.061 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 x) 0)))) (* 2 1)) into 0 2.062 * [taylor]: Taking taylor expansion of 0 in x 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- y))))) (* 1.0 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ (* 1.0 x) y)) 2.063 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.063 * [backup-simplify]: Simplify (+ (* y y) (* x (+ x (* y 2.0)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.063 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (y x) around 0 2.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 2.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.063 * [taylor]: Taking taylor expansion of y in x 2.063 * [backup-simplify]: Simplify y into y 2.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 2.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.063 * [taylor]: Taking taylor expansion of 2.0 in x 2.063 * [backup-simplify]: Simplify 2.0 into 2.0 2.063 * [taylor]: Taking taylor expansion of (* x y) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of y in x 2.063 * [backup-simplify]: Simplify y into y 2.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 2.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.063 * [taylor]: Taking taylor expansion of y in y 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 2.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.063 * [taylor]: Taking taylor expansion of x in y 2.063 * [backup-simplify]: Simplify x into x 2.063 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.063 * [taylor]: Taking taylor expansion of 2.0 in y 2.063 * [backup-simplify]: Simplify 2.0 into 2.0 2.063 * [taylor]: Taking taylor expansion of (* x y) in y 2.063 * [taylor]: Taking taylor expansion of x in y 2.063 * [backup-simplify]: Simplify x into x 2.063 * [taylor]: Taking taylor expansion of y in y 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 2.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.063 * [taylor]: Taking taylor expansion of y in y 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 2.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.063 * [taylor]: Taking taylor expansion of x in y 2.064 * [backup-simplify]: Simplify x into x 2.064 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.064 * [taylor]: Taking taylor expansion of 2.0 in y 2.064 * [backup-simplify]: Simplify 2.0 into 2.0 2.064 * [taylor]: Taking taylor expansion of (* x y) in y 2.064 * [taylor]: Taking taylor expansion of x in y 2.064 * [backup-simplify]: Simplify x into x 2.064 * [taylor]: Taking taylor expansion of y in y 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.064 * [backup-simplify]: Simplify (* x 0) into 0 2.064 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.064 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.064 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.065 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.065 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 2.065 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 2.065 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 2.065 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.065 * [taylor]: Taking taylor expansion of 2.0 in x 2.065 * [backup-simplify]: Simplify 2.0 into 2.0 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (* 1 1) into 1 2.066 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.067 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.067 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (+ 1 0) into 1 2.068 * [taylor]: Taking taylor expansion of 1 in x 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.069 * [backup-simplify]: Simplify 2.0 into 2.0 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.070 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2.0)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 2.070 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 2.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.070 * [taylor]: Taking taylor expansion of y in x 2.070 * [backup-simplify]: Simplify y into y 2.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.070 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (* 1 1) into 1 2.071 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.071 * [taylor]: Taking taylor expansion of 2.0 in x 2.071 * [backup-simplify]: Simplify 2.0 into 2.0 2.071 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.071 * [taylor]: Taking taylor expansion of (* x y) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [taylor]: Taking taylor expansion of y in x 2.071 * [backup-simplify]: Simplify y into y 2.071 * [backup-simplify]: Simplify (* 0 y) into 0 2.071 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.071 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.071 * [taylor]: Taking taylor expansion of y in y 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (* 1 1) into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.072 * [taylor]: Taking taylor expansion of x in y 2.072 * [backup-simplify]: Simplify x into x 2.072 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.072 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.072 * [taylor]: Taking taylor expansion of 2.0 in y 2.072 * [backup-simplify]: Simplify 2.0 into 2.0 2.072 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.072 * [taylor]: Taking taylor expansion of (* x y) in y 2.072 * [taylor]: Taking taylor expansion of x in y 2.072 * [backup-simplify]: Simplify x into x 2.072 * [taylor]: Taking taylor expansion of y in y 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (* x 0) into 0 2.072 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.072 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.072 * [taylor]: Taking taylor expansion of y in y 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (* 1 1) into 1 2.073 * [backup-simplify]: Simplify (/ 1 1) into 1 2.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.073 * [taylor]: Taking taylor expansion of x in y 2.073 * [backup-simplify]: Simplify x into x 2.073 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.073 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.073 * [taylor]: Taking taylor expansion of 2.0 in y 2.073 * [backup-simplify]: Simplify 2.0 into 2.0 2.073 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.073 * [taylor]: Taking taylor expansion of (* x y) in y 2.073 * [taylor]: Taking taylor expansion of x in y 2.073 * [backup-simplify]: Simplify x into x 2.073 * [taylor]: Taking taylor expansion of y in y 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (* x 0) into 0 2.074 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.074 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.074 * [backup-simplify]: Simplify (+ 1 0) into 1 2.074 * [taylor]: Taking taylor expansion of 1 in x 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 2.075 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 2.075 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 2.075 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.075 * [taylor]: Taking taylor expansion of 2.0 in x 2.075 * [backup-simplify]: Simplify 2.0 into 2.0 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 2.077 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.077 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (* 1 1) into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.078 * [backup-simplify]: Simplify 2.0 into 2.0 2.078 * [backup-simplify]: Simplify 1 into 1 2.079 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.079 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 2.079 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 2.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.079 * [taylor]: Taking taylor expansion of y in x 2.079 * [backup-simplify]: Simplify y into y 2.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (* 1 1) into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.080 * [taylor]: Taking taylor expansion of 2.0 in x 2.080 * [backup-simplify]: Simplify 2.0 into 2.0 2.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.080 * [taylor]: Taking taylor expansion of (* x y) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [taylor]: Taking taylor expansion of y in x 2.080 * [backup-simplify]: Simplify y into y 2.080 * [backup-simplify]: Simplify (* 0 y) into 0 2.080 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.080 * [taylor]: Taking taylor expansion of y in y 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (* 1 1) into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.081 * [taylor]: Taking taylor expansion of x in y 2.081 * [backup-simplify]: Simplify x into x 2.081 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.081 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.081 * [taylor]: Taking taylor expansion of 2.0 in y 2.081 * [backup-simplify]: Simplify 2.0 into 2.0 2.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.081 * [taylor]: Taking taylor expansion of (* x y) in y 2.081 * [taylor]: Taking taylor expansion of x in y 2.081 * [backup-simplify]: Simplify x into x 2.081 * [taylor]: Taking taylor expansion of y in y 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (* x 0) into 0 2.082 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.082 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.082 * [taylor]: Taking taylor expansion of y in y 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (* 1 1) into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.082 * [taylor]: Taking taylor expansion of x in y 2.082 * [backup-simplify]: Simplify x into x 2.082 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.083 * [taylor]: Taking taylor expansion of 2.0 in y 2.083 * [backup-simplify]: Simplify 2.0 into 2.0 2.083 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.083 * [taylor]: Taking taylor expansion of (* x y) in y 2.083 * [taylor]: Taking taylor expansion of x in y 2.083 * [backup-simplify]: Simplify x into x 2.083 * [taylor]: Taking taylor expansion of y in y 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (* x 0) into 0 2.083 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.083 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.083 * [backup-simplify]: Simplify (+ 1 0) into 1 2.083 * [taylor]: Taking taylor expansion of 1 in x 2.083 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 2.084 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 2.084 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 2.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.084 * [taylor]: Taking taylor expansion of 2.0 in x 2.084 * [backup-simplify]: Simplify 2.0 into 2.0 2.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.087 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 2.087 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.087 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (* 1 1) into 1 2.088 * [backup-simplify]: Simplify (/ 1 1) into 1 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.088 * [backup-simplify]: Simplify 2.0 into 2.0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.088 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.088 * [backup-simplify]: Simplify (+ (* y y) (* x (+ x (* y 2.0)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.089 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (y x) around 0 2.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 2.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.089 * [taylor]: Taking taylor expansion of y in x 2.089 * [backup-simplify]: Simplify y into y 2.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 2.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.089 * [taylor]: Taking taylor expansion of 2.0 in x 2.089 * [backup-simplify]: Simplify 2.0 into 2.0 2.089 * [taylor]: Taking taylor expansion of (* x y) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [taylor]: Taking taylor expansion of y in x 2.089 * [backup-simplify]: Simplify y into y 2.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 2.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 2.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [backup-simplify]: Simplify x into x 2.089 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.089 * [taylor]: Taking taylor expansion of 2.0 in y 2.089 * [backup-simplify]: Simplify 2.0 into 2.0 2.089 * [taylor]: Taking taylor expansion of (* x y) in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [backup-simplify]: Simplify x into x 2.089 * [taylor]: Taking taylor expansion of y in y 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 2.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 2.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [backup-simplify]: Simplify x into x 2.089 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.089 * [taylor]: Taking taylor expansion of 2.0 in y 2.089 * [backup-simplify]: Simplify 2.0 into 2.0 2.089 * [taylor]: Taking taylor expansion of (* x y) in y 2.089 * [taylor]: Taking taylor expansion of x in y 2.089 * [backup-simplify]: Simplify x into x 2.089 * [taylor]: Taking taylor expansion of y in y 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.089 * [backup-simplify]: Simplify (* x 0) into 0 2.090 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.090 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.090 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.090 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.091 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 2.091 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 2.091 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 2.091 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 2.091 * [taylor]: Taking taylor expansion of 2.0 in x 2.091 * [backup-simplify]: Simplify 2.0 into 2.0 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (* 1 1) into 1 2.092 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.092 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.093 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (+ 1 0) into 1 2.093 * [taylor]: Taking taylor expansion of 1 in x 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.094 * [backup-simplify]: Simplify 2.0 into 2.0 2.094 * [backup-simplify]: Simplify (* 1 1) into 1 2.094 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.095 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2.0)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 2.095 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.095 * [taylor]: Taking taylor expansion of y in x 2.095 * [backup-simplify]: Simplify y into y 2.095 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.095 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (* 1 1) into 1 2.096 * [backup-simplify]: Simplify (/ 1 1) into 1 2.096 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.096 * [taylor]: Taking taylor expansion of 2.0 in x 2.096 * [backup-simplify]: Simplify 2.0 into 2.0 2.096 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.096 * [taylor]: Taking taylor expansion of (* x y) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [taylor]: Taking taylor expansion of y in x 2.096 * [backup-simplify]: Simplify y into y 2.096 * [backup-simplify]: Simplify (* 0 y) into 0 2.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.096 * [taylor]: Taking taylor expansion of y in y 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (* 1 1) into 1 2.097 * [backup-simplify]: Simplify (/ 1 1) into 1 2.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.097 * [taylor]: Taking taylor expansion of x in y 2.097 * [backup-simplify]: Simplify x into x 2.097 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.097 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.097 * [taylor]: Taking taylor expansion of 2.0 in y 2.097 * [backup-simplify]: Simplify 2.0 into 2.0 2.097 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.097 * [taylor]: Taking taylor expansion of (* x y) in y 2.097 * [taylor]: Taking taylor expansion of x in y 2.097 * [backup-simplify]: Simplify x into x 2.097 * [taylor]: Taking taylor expansion of y in y 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (* x 0) into 0 2.097 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.098 * [taylor]: Taking taylor expansion of y in y 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (* 1 1) into 1 2.098 * [backup-simplify]: Simplify (/ 1 1) into 1 2.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.098 * [taylor]: Taking taylor expansion of x in y 2.098 * [backup-simplify]: Simplify x into x 2.098 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.098 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.098 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.098 * [taylor]: Taking taylor expansion of 2.0 in y 2.098 * [backup-simplify]: Simplify 2.0 into 2.0 2.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.098 * [taylor]: Taking taylor expansion of (* x y) in y 2.098 * [taylor]: Taking taylor expansion of x in y 2.098 * [backup-simplify]: Simplify x into x 2.098 * [taylor]: Taking taylor expansion of y in y 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.099 * [backup-simplify]: Simplify (* x 0) into 0 2.099 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.099 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.099 * [backup-simplify]: Simplify (+ 1 0) into 1 2.099 * [taylor]: Taking taylor expansion of 1 in x 2.099 * [backup-simplify]: Simplify 1 into 1 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 2.100 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 2.100 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 2.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.100 * [taylor]: Taking taylor expansion of 2.0 in x 2.100 * [backup-simplify]: Simplify 2.0 into 2.0 2.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (/ 1 1) into 1 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 2.102 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.103 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.103 * [taylor]: Taking taylor expansion of x in x 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (* 1 1) into 1 2.103 * [backup-simplify]: Simplify (/ 1 1) into 1 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.103 * [backup-simplify]: Simplify 2.0 into 2.0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.104 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 2.104 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.104 * [taylor]: Taking taylor expansion of y in x 2.104 * [backup-simplify]: Simplify y into y 2.104 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (* 1 1) into 1 2.105 * [backup-simplify]: Simplify (/ 1 1) into 1 2.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 2.105 * [taylor]: Taking taylor expansion of 2.0 in x 2.105 * [backup-simplify]: Simplify 2.0 into 2.0 2.105 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.105 * [taylor]: Taking taylor expansion of (* x y) in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [taylor]: Taking taylor expansion of y in x 2.105 * [backup-simplify]: Simplify y into y 2.105 * [backup-simplify]: Simplify (* 0 y) into 0 2.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.106 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.106 * [taylor]: Taking taylor expansion of y in y 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (* 1 1) into 1 2.107 * [backup-simplify]: Simplify (/ 1 1) into 1 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.107 * [taylor]: Taking taylor expansion of x in y 2.107 * [backup-simplify]: Simplify x into x 2.107 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.107 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.107 * [taylor]: Taking taylor expansion of 2.0 in y 2.107 * [backup-simplify]: Simplify 2.0 into 2.0 2.107 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.107 * [taylor]: Taking taylor expansion of (* x y) in y 2.107 * [taylor]: Taking taylor expansion of x in y 2.107 * [backup-simplify]: Simplify x into x 2.107 * [taylor]: Taking taylor expansion of y in y 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (* x 0) into 0 2.108 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.108 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.108 * [taylor]: Taking taylor expansion of y in y 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (* 1 1) into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.109 * [taylor]: Taking taylor expansion of x in y 2.109 * [backup-simplify]: Simplify x into x 2.109 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.109 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 2.109 * [taylor]: Taking taylor expansion of 2.0 in y 2.109 * [backup-simplify]: Simplify 2.0 into 2.0 2.109 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.109 * [taylor]: Taking taylor expansion of (* x y) in y 2.109 * [taylor]: Taking taylor expansion of x in y 2.110 * [backup-simplify]: Simplify x into x 2.110 * [taylor]: Taking taylor expansion of y in y 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (* x 0) into 0 2.110 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.110 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.111 * [backup-simplify]: Simplify (+ 1 0) into 1 2.111 * [taylor]: Taking taylor expansion of 1 in x 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 2.112 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 2.113 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 2.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 2.113 * [taylor]: Taking taylor expansion of 2.0 in x 2.113 * [backup-simplify]: Simplify 2.0 into 2.0 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 2.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 2.116 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 2.117 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.117 * [taylor]: Taking taylor expansion of x in x 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (* 1 1) into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.118 * [backup-simplify]: Simplify 2.0 into 2.0 2.118 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.119 * * * [progress]: simplifying candidates 2.121 * [simplify]: Simplifying: (log (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (exp (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (* (cbrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (cbrt (sqrt (+ (* y y) (* x (+ x (* y 2.0))))))) (cbrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (* (* (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt (* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))))) (sqrt (cbrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt 1) (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (pow (* y y) 3) (pow (* x (+ x (* y 2.0))) 3))) (sqrt (+ (* (* y y) (* y y)) (- (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))) (* (* y y) (* x (+ x (* y 2.0))))))) (sqrt (- (* (* y y) (* y y)) (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))))) (sqrt (- (* y y) (* x (+ x (* y 2.0))))) (/ 1 2) (sqrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (log (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (exp (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (* (cbrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (cbrt (sqrt (+ (* y y) (* x (+ x (* y 2.0))))))) (cbrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (* (* (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt (* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))))) (sqrt (cbrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt 1) (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (pow (* y y) 3) (pow (* x (+ x (* y 2.0))) 3))) (sqrt (+ (* (* y y) (* y y)) (- (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))) (* (* y y) (* x (+ x (* y 2.0))))))) (sqrt (- (* (* y y) (* y y)) (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))))) (sqrt (- (* y y) (* x (+ x (* y 2.0))))) (/ 1 2) (sqrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))) (* (exp (* y y)) (exp (* x (+ x (* y 2.0))))) (log (+ (* y y) (* x (+ x (* y 2.0))))) (exp (+ (* y y) (* x (+ x (* y 2.0))))) (* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0)))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (* (* (+ (* y y) (* x (+ x (* y 2.0)))) (+ (* y y) (* x (+ x (* y 2.0))))) (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (+ (pow (* y y) 3) (pow (* x (+ x (* y 2.0))) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))) (* (* y y) (* x (+ x (* y 2.0)))))) (- (* (* y y) (* y y)) (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0))))) (- (* y y) (* x (+ x (* y 2.0)))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* (exp (* y y)) (exp (* x (+ x (* y 2.0))))) (log (+ (* y y) (* x (+ x (* y 2.0))))) (exp (+ (* y y) (* x (+ x (* y 2.0))))) (* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0)))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (* (* (+ (* y y) (* x (+ x (* y 2.0)))) (+ (* y y) (* x (+ x (* y 2.0))))) (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (+ (pow (* y y) 3) (pow (* x (+ x (* y 2.0))) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))) (* (* y y) (* x (+ x (* y 2.0)))))) (- (* (* y y) (* y y)) (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0))))) (- (* y y) (* x (+ x (* y 2.0)))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ x (* 1.0 y)) (+ (* 1.0 x) y) (- (+ (* 1.0 x) y)) (+ x (* 1.0 y)) (+ (* 1.0 x) y) (- (+ (* 1.0 x) y)) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.123 * * [simplify]: iteration 0: 60 enodes 2.139 * * [simplify]: iteration 1: 159 enodes 2.212 * * [simplify]: iteration 2: 572 enodes 2.816 * * [simplify]: iteration 3: 3524 enodes 4.531 * * [simplify]: iteration complete: 5000 enodes 4.532 * * [simplify]: Extracting #0: cost 29 inf + 0 4.532 * * [simplify]: Extracting #1: cost 148 inf + 2 4.534 * * [simplify]: Extracting #2: cost 964 inf + 644 4.541 * * [simplify]: Extracting #3: cost 1297 inf + 12787 4.589 * * [simplify]: Extracting #4: cost 780 inf + 117784 4.679 * * [simplify]: Extracting #5: cost 186 inf + 288396 4.801 * * [simplify]: Extracting #6: cost 8 inf + 336264 4.945 * * [simplify]: Extracting #7: cost 0 inf + 331795 5.066 * [simplify]: Simplified to: (log (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (exp (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (* (cbrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (cbrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))))) (cbrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (* (+ (* y y) (* x (+ x (* 2.0 y)))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (fabs (cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) 1 (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (sqrt (+ (* (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* x (+ x (* 2.0 y)))) (* (* y (* y y)) (* y (* y y))))) (sqrt (+ (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* (* y y) (- (* y y) (* x (+ x (* 2.0 y))))))) (sqrt (* (+ (* y y) (* x (+ x (* 2.0 y)))) (- (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (- (* y y) (* x (+ x (* 2.0 y))))) 1/2 (sqrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (log (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (exp (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (* (cbrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (cbrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))))) (cbrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (* (+ (* y y) (* x (+ x (* 2.0 y)))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (fabs (cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) 1 (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (sqrt (+ (* (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* x (+ x (* 2.0 y)))) (* (* y (* y y)) (* y (* y y))))) (sqrt (+ (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* (* y y) (- (* y y) (* x (+ x (* 2.0 y))))))) (sqrt (* (+ (* y y) (* x (+ x (* 2.0 y)))) (- (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (- (* y y) (* x (+ x (* 2.0 y))))) 1/2 (sqrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (sqrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (exp (+ (* y y) (* x (+ x (* 2.0 y))))) (log (+ (* y y) (* x (+ x (* 2.0 y))))) (exp (+ (* y y) (* x (+ x (* 2.0 y))))) (* (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (* (+ (* y y) (* x (+ x (* 2.0 y)))) (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* x (+ x (* 2.0 y)))) (* (* y (* y y)) (* y (* y y)))) (+ (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* (* y y) (- (* y y) (* x (+ x (* 2.0 y)))))) (* (+ (* y y) (* x (+ x (* 2.0 y)))) (- (* y y) (* x (+ x (* 2.0 y))))) (- (* y y) (* x (+ x (* 2.0 y)))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (exp (+ (* y y) (* x (+ x (* 2.0 y))))) (log (+ (* y y) (* x (+ x (* 2.0 y))))) (exp (+ (* y y) (* x (+ x (* 2.0 y))))) (* (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (* (+ (* y y) (* x (+ x (* 2.0 y)))) (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* x (+ x (* 2.0 y)))) (* (* y (* y y)) (* y (* y y)))) (+ (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* (* y y) (- (* y y) (* x (+ x (* 2.0 y)))))) (* (+ (* y y) (* x (+ x (* 2.0 y)))) (- (* y y) (* x (+ x (* 2.0 y))))) (- (* y y) (* x (+ x (* 2.0 y)))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* 1.0 y) x) (+ (* x 1.0) y) (- (- y) (* x 1.0)) (+ (* 1.0 y) x) (+ (* x 1.0) y) (- (- y) (* x 1.0)) (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))) 5.072 * * * [progress]: adding candidates to table 5.463 * * [progress]: iteration 3 / 4 5.463 * * * [progress]: picking best candidate 5.466 * * * * [pick]: Picked # 5.466 * * * [progress]: localizing error 5.478 * * * [progress]: generating rewritten candidates 5.478 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.526 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.539 * * * [progress]: generating series expansions 5.539 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.540 * [backup-simplify]: Simplify (+ (+ (* y y) (* x x)) (* (* y 2.0) x)) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 5.540 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (y x) around 0 5.540 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 5.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.540 * [taylor]: Taking taylor expansion of y in x 5.540 * [backup-simplify]: Simplify y into y 5.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 5.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.540 * [taylor]: Taking taylor expansion of x in x 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 5.540 * [taylor]: Taking taylor expansion of 2.0 in x 5.540 * [backup-simplify]: Simplify 2.0 into 2.0 5.540 * [taylor]: Taking taylor expansion of (* x y) in x 5.540 * [taylor]: Taking taylor expansion of x in x 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of y in x 5.540 * [backup-simplify]: Simplify y into y 5.540 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 5.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.540 * [taylor]: Taking taylor expansion of y in y 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 5.540 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.540 * [taylor]: Taking taylor expansion of x in y 5.540 * [backup-simplify]: Simplify x into x 5.540 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 5.540 * [taylor]: Taking taylor expansion of 2.0 in y 5.540 * [backup-simplify]: Simplify 2.0 into 2.0 5.540 * [taylor]: Taking taylor expansion of (* x y) in y 5.540 * [taylor]: Taking taylor expansion of x in y 5.540 * [backup-simplify]: Simplify x into x 5.540 * [taylor]: Taking taylor expansion of y in y 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 5.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.540 * [taylor]: Taking taylor expansion of y in y 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 5.540 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.540 * [taylor]: Taking taylor expansion of x in y 5.540 * [backup-simplify]: Simplify x into x 5.540 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 5.540 * [taylor]: Taking taylor expansion of 2.0 in y 5.540 * [backup-simplify]: Simplify 2.0 into 2.0 5.540 * [taylor]: Taking taylor expansion of (* x y) in y 5.540 * [taylor]: Taking taylor expansion of x in y 5.540 * [backup-simplify]: Simplify x into x 5.540 * [taylor]: Taking taylor expansion of y in y 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.541 * [backup-simplify]: Simplify (* x 0) into 0 5.541 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.541 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.541 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.541 * [taylor]: Taking taylor expansion of x in x 5.541 * [backup-simplify]: Simplify 0 into 0 5.541 * [backup-simplify]: Simplify 1 into 1 5.541 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.542 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.542 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 5.542 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 5.542 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 5.542 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 5.542 * [taylor]: Taking taylor expansion of 2.0 in x 5.542 * [backup-simplify]: Simplify 2.0 into 2.0 5.542 * [taylor]: Taking taylor expansion of x in x 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 1 into 1 5.543 * [backup-simplify]: Simplify (* 2.0 0) into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify (* 1 1) into 1 5.543 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.544 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.544 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 5.544 * [backup-simplify]: Simplify (+ 0 0) into 0 5.545 * [backup-simplify]: Simplify (+ 1 0) into 1 5.545 * [taylor]: Taking taylor expansion of 1 in x 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [backup-simplify]: Simplify 1 into 1 5.546 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 5.546 * [backup-simplify]: Simplify 2.0 into 2.0 5.546 * [backup-simplify]: Simplify (* 1 1) into 1 5.546 * [backup-simplify]: Simplify 1 into 1 5.546 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 5.547 * [backup-simplify]: Simplify (+ (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) (* (* (/ 1 y) 2.0) (/ 1 x))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 5.547 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 5.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 5.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.547 * [taylor]: Taking taylor expansion of y in x 5.547 * [backup-simplify]: Simplify y into y 5.547 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.547 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 5.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.547 * [taylor]: Taking taylor expansion of x in x 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [backup-simplify]: Simplify (* 1 1) into 1 5.547 * [backup-simplify]: Simplify (/ 1 1) into 1 5.548 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 5.548 * [taylor]: Taking taylor expansion of 2.0 in x 5.548 * [backup-simplify]: Simplify 2.0 into 2.0 5.548 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.548 * [taylor]: Taking taylor expansion of (* x y) in x 5.548 * [taylor]: Taking taylor expansion of x in x 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.548 * [taylor]: Taking taylor expansion of y in x 5.548 * [backup-simplify]: Simplify y into y 5.548 * [backup-simplify]: Simplify (* 0 y) into 0 5.548 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.548 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 5.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.548 * [taylor]: Taking taylor expansion of y in y 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.548 * [backup-simplify]: Simplify (* 1 1) into 1 5.549 * [backup-simplify]: Simplify (/ 1 1) into 1 5.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 5.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.549 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.549 * [taylor]: Taking taylor expansion of x in y 5.549 * [backup-simplify]: Simplify x into x 5.549 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.549 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 5.549 * [taylor]: Taking taylor expansion of 2.0 in y 5.549 * [backup-simplify]: Simplify 2.0 into 2.0 5.549 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.549 * [taylor]: Taking taylor expansion of (* x y) in y 5.549 * [taylor]: Taking taylor expansion of x in y 5.549 * [backup-simplify]: Simplify x into x 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 5.549 * [backup-simplify]: Simplify (* x 0) into 0 5.549 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.549 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 5.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.549 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 5.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 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 (* 2.0 (/ 1 (* x y))) in y 5.550 * [taylor]: Taking taylor expansion of 2.0 in y 5.550 * [backup-simplify]: Simplify 2.0 into 2.0 5.550 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.550 * [taylor]: Taking taylor expansion of (* x y) in y 5.550 * [taylor]: Taking taylor expansion of x in y 5.550 * [backup-simplify]: Simplify x into x 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 (* x 0) into 0 5.551 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.551 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.551 * [backup-simplify]: Simplify (+ 1 0) into 1 5.551 * [taylor]: Taking taylor expansion of 1 in x 5.551 * [backup-simplify]: Simplify 1 into 1 5.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.552 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 5.552 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 5.552 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 5.552 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 5.552 * [taylor]: Taking taylor expansion of 2.0 in x 5.552 * [backup-simplify]: Simplify 2.0 into 2.0 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 5.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.554 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.554 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 5.554 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 5.554 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 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 5.555 * [backup-simplify]: Simplify (* 1 1) into 1 5.555 * [backup-simplify]: Simplify (/ 1 1) into 1 5.555 * [backup-simplify]: Simplify 1 into 1 5.555 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 5.555 * [backup-simplify]: Simplify 2.0 into 2.0 5.555 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 5.556 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (* (/ 1 (- y)) 2.0) (/ 1 (- x)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 5.556 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 5.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 5.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.556 * [taylor]: Taking taylor expansion of y in x 5.556 * [backup-simplify]: Simplify y into y 5.556 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.556 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 5.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.556 * [taylor]: Taking taylor expansion of x in x 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify (* 1 1) into 1 5.557 * [backup-simplify]: Simplify (/ 1 1) into 1 5.557 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 5.557 * [taylor]: Taking taylor expansion of 2.0 in x 5.557 * [backup-simplify]: Simplify 2.0 into 2.0 5.557 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 5.557 * [taylor]: Taking taylor expansion of (* x y) in x 5.557 * [taylor]: Taking taylor expansion of x in x 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify 1 into 1 5.557 * [taylor]: Taking taylor expansion of y in x 5.557 * [backup-simplify]: Simplify y into y 5.557 * [backup-simplify]: Simplify (* 0 y) into 0 5.557 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 5.557 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 5.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.557 * [taylor]: Taking taylor expansion of y in y 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify 1 into 1 5.558 * [backup-simplify]: Simplify (* 1 1) into 1 5.558 * [backup-simplify]: Simplify (/ 1 1) into 1 5.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 5.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.558 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.558 * [taylor]: Taking taylor expansion of x in y 5.558 * [backup-simplify]: Simplify x into x 5.558 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.558 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 5.558 * [taylor]: Taking taylor expansion of 2.0 in y 5.558 * [backup-simplify]: Simplify 2.0 into 2.0 5.558 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.558 * [taylor]: Taking taylor expansion of (* x y) in y 5.558 * [taylor]: Taking taylor expansion of x in y 5.558 * [backup-simplify]: Simplify x into x 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 (* x 0) into 0 5.558 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.559 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 5.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.559 * [taylor]: Taking taylor expansion of y in y 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (* 1 1) into 1 5.559 * [backup-simplify]: Simplify (/ 1 1) into 1 5.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 5.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.559 * [taylor]: Taking taylor expansion of x in y 5.559 * [backup-simplify]: Simplify x into x 5.559 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.559 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.559 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 5.559 * [taylor]: Taking taylor expansion of 2.0 in y 5.559 * [backup-simplify]: Simplify 2.0 into 2.0 5.559 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.559 * [taylor]: Taking taylor expansion of (* x y) in y 5.559 * [taylor]: Taking taylor expansion of x in y 5.559 * [backup-simplify]: Simplify x into x 5.559 * [taylor]: Taking taylor expansion of y in y 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (* x 0) into 0 5.560 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 5.560 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.560 * [backup-simplify]: Simplify (+ 1 0) into 1 5.560 * [taylor]: Taking taylor expansion of 1 in x 5.560 * [backup-simplify]: Simplify 1 into 1 5.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.561 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 5.561 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 5.561 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 5.561 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 5.561 * [taylor]: Taking taylor expansion of 2.0 in x 5.561 * [backup-simplify]: Simplify 2.0 into 2.0 5.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.561 * [taylor]: Taking taylor expansion of x in x 5.561 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.562 * [backup-simplify]: Simplify (/ 1 1) into 1 5.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.564 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 5.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.565 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 5.565 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 5.565 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.566 * [taylor]: Taking taylor expansion of x in x 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify 1 into 1 5.566 * [backup-simplify]: Simplify (* 1 1) into 1 5.566 * [backup-simplify]: Simplify (/ 1 1) into 1 5.566 * [backup-simplify]: Simplify 1 into 1 5.567 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 5.567 * [backup-simplify]: Simplify 2.0 into 2.0 5.567 * [backup-simplify]: Simplify 1 into 1 5.568 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 5.568 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 5.568 * [backup-simplify]: Simplify (+ (* y y) (* x x)) into (+ (pow y 2) (pow x 2)) 5.568 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (y x) around 0 5.568 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 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) 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) (pow x 2)) in y 5.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.568 * [taylor]: Taking taylor expansion of y in y 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.569 * [taylor]: Taking taylor expansion of x in y 5.569 * [backup-simplify]: Simplify x into x 5.569 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.569 * [taylor]: Taking taylor expansion of y in y 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.569 * [taylor]: Taking taylor expansion of x in y 5.569 * [backup-simplify]: Simplify x into x 5.569 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.569 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 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 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.570 * [backup-simplify]: Simplify (+ 0 0) into 0 5.570 * [taylor]: Taking taylor expansion of 0 in x 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify (* 1 1) into 1 5.571 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.571 * [backup-simplify]: Simplify (+ 1 0) into 1 5.571 * [taylor]: Taking taylor expansion of 1 in x 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify 1 into 1 5.572 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify (* 1 1) into 1 5.572 * [backup-simplify]: Simplify 1 into 1 5.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.574 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.574 * [taylor]: Taking taylor expansion of 0 in x 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.577 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 5.577 * [backup-simplify]: Simplify (+ 0 0) into 0 5.577 * [taylor]: Taking taylor expansion of 0 in x 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (pow x 2)) 5.578 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 5.578 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 5.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.579 * [taylor]: Taking taylor expansion of y in x 5.579 * [backup-simplify]: Simplify y into y 5.579 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.579 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.579 * [taylor]: Taking taylor expansion of x in x 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 1 into 1 5.579 * [backup-simplify]: Simplify (* 1 1) into 1 5.580 * [backup-simplify]: Simplify (/ 1 1) into 1 5.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 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 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.581 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.581 * [taylor]: Taking taylor expansion of x in y 5.581 * [backup-simplify]: Simplify x into x 5.581 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.581 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.582 * [taylor]: Taking taylor expansion of y in y 5.582 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify 1 into 1 5.582 * [backup-simplify]: Simplify (* 1 1) into 1 5.582 * [backup-simplify]: Simplify (/ 1 1) into 1 5.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.582 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.582 * [taylor]: Taking taylor expansion of x in y 5.583 * [backup-simplify]: Simplify x into x 5.583 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.583 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.583 * [backup-simplify]: Simplify (+ 1 0) into 1 5.583 * [taylor]: Taking taylor expansion of 1 in x 5.583 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.585 * [backup-simplify]: Simplify (+ 0 0) into 0 5.585 * [taylor]: Taking taylor expansion of 0 in x 5.585 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.588 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.588 * [taylor]: Taking taylor expansion of x in x 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (* 1 1) into 1 5.588 * [backup-simplify]: Simplify (/ 1 1) into 1 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify 1 into 1 5.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.591 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.591 * [backup-simplify]: Simplify (+ 0 0) into 0 5.592 * [taylor]: Taking taylor expansion of 0 in x 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.596 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 5.597 * [backup-simplify]: Simplify (+ 0 0) into 0 5.597 * [taylor]: Taking taylor expansion of 0 in x 5.597 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow y 2) (pow x 2)) 5.600 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 5.600 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 5.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.600 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.600 * [taylor]: Taking taylor expansion of y in x 5.600 * [backup-simplify]: Simplify y into y 5.600 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.600 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.600 * [taylor]: Taking taylor expansion of x in x 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify 1 into 1 5.601 * [backup-simplify]: Simplify (* 1 1) into 1 5.601 * [backup-simplify]: Simplify (/ 1 1) into 1 5.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.601 * [taylor]: Taking taylor expansion of y in y 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify 1 into 1 5.601 * [backup-simplify]: Simplify (* 1 1) into 1 5.602 * [backup-simplify]: Simplify (/ 1 1) into 1 5.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.602 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.602 * [taylor]: Taking taylor expansion of x in y 5.602 * [backup-simplify]: Simplify x into x 5.602 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.602 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.602 * [taylor]: Taking taylor expansion of y in y 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify 1 into 1 5.603 * [backup-simplify]: Simplify (* 1 1) into 1 5.603 * [backup-simplify]: Simplify (/ 1 1) into 1 5.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.603 * [taylor]: Taking taylor expansion of x in y 5.603 * [backup-simplify]: Simplify x into x 5.603 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.603 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.604 * [backup-simplify]: Simplify (+ 1 0) into 1 5.604 * [taylor]: Taking taylor expansion of 1 in x 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.605 * [backup-simplify]: Simplify (+ 0 0) into 0 5.605 * [taylor]: Taking taylor expansion of 0 in x 5.605 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.607 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.607 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 5.608 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 5.611 * [backup-simplify]: Simplify (+ 0 0) into 0 5.611 * [taylor]: Taking taylor expansion of 0 in x 5.611 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.615 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 5.616 * [backup-simplify]: Simplify (+ 0 0) into 0 5.616 * [taylor]: Taking taylor expansion of 0 in x 5.616 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow y 2) (pow x 2)) 5.618 * * * [progress]: simplifying candidates 5.619 * [simplify]: Simplifying: (* (* (exp (* y y)) (exp (* x x))) (exp (* (* y 2.0) x))) (* (exp (+ (* y y) (* x x))) (exp (* (* y 2.0) x))) (log (+ (+ (* y y) (* x x)) (* (* y 2.0) x))) (exp (+ (+ (* y y) (* x x)) (* (* y 2.0) x))) (* (cbrt (+ (+ (* y y) (* x x)) (* (* y 2.0) x))) (cbrt (+ (+ (* y y) (* x x)) (* (* y 2.0) x)))) (cbrt (+ (+ (* y y) (* x x)) (* (* y 2.0) x))) (* (* (+ (+ (* y y) (* x x)) (* (* y 2.0) x)) (+ (+ (* y y) (* x x)) (* (* y 2.0) x))) (+ (+ (* y y) (* x x)) (* (* y 2.0) x))) (sqrt (+ (+ (* y y) (* x x)) (* (* y 2.0) x))) (sqrt (+ (+ (* y y) (* x x)) (* (* y 2.0) x))) (+ (pow (+ (* y y) (* x x)) 3) (pow (* (* y 2.0) x) 3)) (+ (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (- (* (* (* y 2.0) x) (* (* y 2.0) x)) (* (+ (* y y) (* x x)) (* (* y 2.0) x)))) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* (* y 2.0) x) (* (* y 2.0) x))) (- (+ (* y y) (* x x)) (* (* y 2.0) x)) (+ (* x x) (* (* y 2.0) x)) (* (exp (* y y)) (exp (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (pow (* y y) 3) (pow (* x x) 3)) (+ (* (* y y) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* x x)))) (- (* (* y y) (* y y)) (* (* x x) (* x x))) (- (* y y) (* x x)) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 5.620 * * [simplify]: iteration 0: 58 enodes 5.637 * * [simplify]: iteration 1: 209 enodes 5.741 * * [simplify]: iteration 2: 912 enodes 6.329 * * [simplify]: iteration complete: 5000 enodes 6.329 * * [simplify]: Extracting #0: cost 23 inf + 0 6.331 * * [simplify]: Extracting #1: cost 365 inf + 0 6.337 * * [simplify]: Extracting #2: cost 1372 inf + 43 6.345 * * [simplify]: Extracting #3: cost 1837 inf + 16978 6.378 * * [simplify]: Extracting #4: cost 1055 inf + 160507 6.492 * * [simplify]: Extracting #5: cost 125 inf + 417294 6.618 * * [simplify]: Extracting #6: cost 4 inf + 445878 6.736 * * [simplify]: Extracting #7: cost 0 inf + 445200 6.868 * * [simplify]: Extracting #8: cost 0 inf + 445160 6.993 * [simplify]: Simplified to: (exp (+ (* y y) (* x (+ x (* 2.0 y))))) (exp (+ (* y y) (* x (+ x (* 2.0 y))))) (log (+ (* y y) (* x (+ x (* 2.0 y))))) (exp (+ (* y y) (* x (+ x (* 2.0 y))))) (* (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y)))))) (cbrt (+ (* y y) (* x (+ x (* 2.0 y))))) (* (* (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* y y) (* x (+ x (* 2.0 y))))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (sqrt (+ (* y y) (* x (+ x (* 2.0 y))))) (+ (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (* (* (* (* x y) 2.0) (* (* x y) 2.0)) (* (* x y) 2.0))) (+ (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* (* x y) 2.0) (- (* (* x y) 2.0) (+ (* y y) (* x x))))) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* (* x y) 2.0) (* (* x y) 2.0))) (+ (- (* x x) (* (* x y) 2.0)) (* y y)) (* x (+ x (* 2.0 y))) (exp (+ (* y y) (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y)))) (+ (* (* x x) (- (* x x) (* y y))) (* (* y y) (* y y))) (* (+ (* y y) (* x x)) (- (* y y) (* x x))) (- (* y y) (* x x)) (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x (+ x (* 2.0 y)))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 6.995 * * * [progress]: adding candidates to table 7.128 * [progress]: [Phase 3 of 3] Extracting. 7.128 * * [regime]: Finding splitpoints for: (# # #) 7.128 * * * [regime-changes]: Trying 2 branch expressions: (y x) 7.128 * * * * [regimes]: Trying to branch on y from (# # #) 7.190 * * * * [regimes]: Trying to branch on x from (# # #) 7.255 * * * [regime]: Found split indices: #