10.729 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.019 * [simplify]: Sending expressions to egg_math: (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) 0.022 * * [simplify]: iteration 0 : 18 enodes (cost 9 ) 0.024 * * [simplify]: iteration 1 : 36 enodes (cost 9 ) 0.026 * * [simplify]: iteration 2 : 68 enodes (cost 9 ) 0.027 * * [simplify]: iteration 3 : 117 enodes (cost 9 ) 0.030 * * [simplify]: iteration 4 : 174 enodes (cost 9 ) 0.032 * * [simplify]: iteration 5 : 195 enodes (cost 9 ) 0.035 * * [simplify]: iteration 6 : 197 enodes (cost 9 ) 0.038 * * [simplify]: iteration 7 : 197 enodes (cost 9 ) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.074 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.083 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.094 * * * [progress]: generating series expansions 0.094 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.095 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 0.095 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.095 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 0.095 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of 4.0 in y 0.095 * [backup-simplify]: Simplify 4.0 into 4.0 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 0.095 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of 4.0 in y 0.095 * [backup-simplify]: Simplify 4.0 into 4.0 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.095 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.095 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.095 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.095 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.095 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.095 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.096 * [taylor]: Taking taylor expansion of 4.0 in x 0.096 * [backup-simplify]: Simplify 4.0 into 4.0 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.096 * [taylor]: Taking taylor expansion of 4.0 in x 0.096 * [backup-simplify]: Simplify 4.0 into 4.0 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.096 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.096 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.096 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.096 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.096 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.097 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.097 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.097 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.097 * [taylor]: Taking taylor expansion of 4.0 in x 0.097 * [backup-simplify]: Simplify 4.0 into 4.0 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.097 * [taylor]: Taking taylor expansion of 4.0 in x 0.097 * [backup-simplify]: Simplify 4.0 into 4.0 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.097 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.097 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.097 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.097 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.097 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.098 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.098 * [taylor]: Taking taylor expansion of -1.0 in y 0.098 * [backup-simplify]: Simplify -1.0 into -1.0 0.098 * [backup-simplify]: Simplify -1.0 into -1.0 0.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.098 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.099 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.103 * [backup-simplify]: Simplify (+ 1 0) into 1 0.103 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 0.103 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.103 * [taylor]: Taking taylor expansion of 0.5 in y 0.103 * [backup-simplify]: Simplify 0.5 into 0.5 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.109 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify -1.0 into -1.0 0.111 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.111 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.111 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [backup-simplify]: Simplify x into x 0.111 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.111 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.111 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.111 * [taylor]: Taking taylor expansion of 4.0 in y 0.111 * [backup-simplify]: Simplify 4.0 into 4.0 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [backup-simplify]: Simplify x into x 0.112 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.112 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.112 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.112 * [taylor]: Taking taylor expansion of 4.0 in y 0.112 * [backup-simplify]: Simplify 4.0 into 4.0 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.113 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.114 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.114 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.114 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.115 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.115 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.115 * [taylor]: Taking taylor expansion of 4.0 in x 0.115 * [backup-simplify]: Simplify 4.0 into 4.0 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [backup-simplify]: Simplify y into y 0.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of 4.0 in x 0.116 * [backup-simplify]: Simplify 4.0 into 4.0 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.118 * [taylor]: Taking taylor expansion of 4.0 in x 0.118 * [backup-simplify]: Simplify 4.0 into 4.0 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.119 * [taylor]: Taking taylor expansion of 4.0 in x 0.119 * [backup-simplify]: Simplify 4.0 into 4.0 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.119 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of 1 in y 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.123 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.123 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.125 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.125 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.125 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.125 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.125 * [taylor]: Taking taylor expansion of 8.0 in y 0.125 * [backup-simplify]: Simplify 8.0 into 8.0 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.134 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [backup-simplify]: Simplify x into x 0.134 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.134 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.134 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.134 * [taylor]: Taking taylor expansion of 4.0 in y 0.134 * [backup-simplify]: Simplify 4.0 into 4.0 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [backup-simplify]: Simplify x into x 0.135 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.135 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.135 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.135 * [taylor]: Taking taylor expansion of 4.0 in y 0.135 * [backup-simplify]: Simplify 4.0 into 4.0 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.136 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.137 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.137 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.137 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.138 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.138 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.138 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of 4.0 in x 0.139 * [backup-simplify]: Simplify 4.0 into 4.0 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of 4.0 in x 0.139 * [backup-simplify]: Simplify 4.0 into 4.0 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of 4.0 in x 0.141 * [backup-simplify]: Simplify 4.0 into 4.0 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.142 * [taylor]: Taking taylor expansion of 4.0 in x 0.142 * [backup-simplify]: Simplify 4.0 into 4.0 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.142 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.142 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.147 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.147 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.148 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.149 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.149 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.149 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.149 * [taylor]: Taking taylor expansion of 8.0 in y 0.149 * [backup-simplify]: Simplify 8.0 into 8.0 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.154 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.158 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.158 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.158 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [backup-simplify]: Simplify x into x 0.158 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of 4.0 in y 0.158 * [backup-simplify]: Simplify 4.0 into 4.0 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.158 * [taylor]: Taking taylor expansion of 4.0 in x 0.158 * [backup-simplify]: Simplify 4.0 into 4.0 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [backup-simplify]: Simplify y into y 0.158 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.158 * [taylor]: Taking taylor expansion of 4.0 in x 0.158 * [backup-simplify]: Simplify 4.0 into 4.0 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [backup-simplify]: Simplify y into y 0.158 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.159 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.159 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.159 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.159 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of 4.0 in y 0.159 * [backup-simplify]: Simplify 4.0 into 4.0 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.159 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.162 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.163 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.164 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.164 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.167 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.169 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.169 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [backup-simplify]: Simplify x into x 0.170 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.170 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.170 * [taylor]: Taking taylor expansion of 4.0 in y 0.170 * [backup-simplify]: Simplify 4.0 into 4.0 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (* 1 1) into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.171 * [taylor]: Taking taylor expansion of 4.0 in x 0.171 * [backup-simplify]: Simplify 4.0 into 4.0 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [backup-simplify]: Simplify y into y 0.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.172 * [taylor]: Taking taylor expansion of 4.0 in x 0.172 * [backup-simplify]: Simplify 4.0 into 4.0 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [backup-simplify]: Simplify y into y 0.172 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.172 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.175 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.175 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.175 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.175 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of 4.0 in y 0.175 * [backup-simplify]: Simplify 4.0 into 4.0 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.176 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.176 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.182 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.185 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.185 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [backup-simplify]: Simplify x into x 0.185 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.186 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.186 * [taylor]: Taking taylor expansion of 4.0 in y 0.186 * [backup-simplify]: Simplify 4.0 into 4.0 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.187 * [taylor]: Taking taylor expansion of 4.0 in x 0.187 * [backup-simplify]: Simplify 4.0 into 4.0 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [backup-simplify]: Simplify y into y 0.187 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.187 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of 4.0 in x 0.188 * [backup-simplify]: Simplify 4.0 into 4.0 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.188 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [taylor]: Taking taylor expansion of 1 in y 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.193 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.194 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.194 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.194 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.194 * [taylor]: Taking taylor expansion of 4.0 in y 0.194 * [backup-simplify]: Simplify 4.0 into 4.0 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.195 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.195 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.197 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.204 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.204 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.204 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [backup-simplify]: Simplify x into x 0.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of 4.0 in y 0.204 * [backup-simplify]: Simplify 4.0 into 4.0 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of 4.0 in x 0.204 * [backup-simplify]: Simplify 4.0 into 4.0 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [backup-simplify]: Simplify y into y 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of 4.0 in x 0.204 * [backup-simplify]: Simplify 4.0 into 4.0 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.205 * [backup-simplify]: Simplify y into y 0.205 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.205 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.205 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.205 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of 4.0 in y 0.205 * [backup-simplify]: Simplify 4.0 into 4.0 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.205 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.207 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.208 * [backup-simplify]: Simplify 4.0 into 4.0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.211 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.213 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.213 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [backup-simplify]: Simplify x into x 0.213 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.213 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.213 * [taylor]: Taking taylor expansion of 4.0 in y 0.213 * [backup-simplify]: Simplify 4.0 into 4.0 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.215 * [taylor]: Taking taylor expansion of 4.0 in x 0.215 * [backup-simplify]: Simplify 4.0 into 4.0 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.215 * [taylor]: Taking taylor expansion of 4.0 in x 0.216 * [backup-simplify]: Simplify 4.0 into 4.0 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [backup-simplify]: Simplify y into y 0.216 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.216 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [taylor]: Taking taylor expansion of 1 in y 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.218 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.218 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of 4.0 in y 0.218 * [backup-simplify]: Simplify 4.0 into 4.0 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* 1 1) into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.219 * [backup-simplify]: Simplify 4.0 into 4.0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 4.0 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 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.227 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.227 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into x 0.227 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.227 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.227 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.227 * [taylor]: Taking taylor expansion of 4.0 in y 0.227 * [backup-simplify]: Simplify 4.0 into 4.0 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.229 * [taylor]: Taking taylor expansion of 4.0 in x 0.229 * [backup-simplify]: Simplify 4.0 into 4.0 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [backup-simplify]: Simplify y into y 0.229 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.229 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.229 * [taylor]: Taking taylor expansion of 4.0 in x 0.229 * [backup-simplify]: Simplify 4.0 into 4.0 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.230 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.230 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.230 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.232 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.232 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.232 * [taylor]: Taking taylor expansion of 4.0 in y 0.232 * [backup-simplify]: Simplify 4.0 into 4.0 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.233 * [backup-simplify]: Simplify 4.0 into 4.0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.242 * * * [progress]: simplifying candidates 0.243 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) 0.243 * [simplify]: Sending expressions to egg_math: (- (log (- (* h0 h0) (* (* h1 h2) h1))) (log (+ (* h0 h0) (* (* h1 h2) h1)))) (log (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (* (* (- (* h0 h0) (* (* h1 h2) h1)) (- (* h0 h0) (* (* h1 h2) h1))) (- (* h0 h0) (* (* h1 h2) h1))) (* (* (+ (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) (+ (* h0 h0) (* (* h1 h2) h1)))) (* (cbrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (cbrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))))) (cbrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (* (* (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (sqrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (sqrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (- (- (* h0 h0) (* (* h1 h2) h1))) (- (+ (* h0 h0) (* (* h1 h2) h1))) (/ (* h0 h0) (+ (* h0 h0) (* (* h1 h2) h1))) (/ (* (* h1 h2) h1) (+ (* h0 h0) (* (* h1 h2) h1))) (/ (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))) (/ (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) 1) (/ (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (+ (* h0 h0) (* (* h1 h2) h1))) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) 1) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (+ (* h0 h0) (* (* h1 h2) h1))) (/ 1 (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (cbrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ 1 (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ 1 1) (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) (/ 1 (+ (* h0 h0) (* (* h1 h2) h1))) (/ (+ (* h0 h0) (* (* h1 h2) h1)) (- (* h0 h0) (* (* h1 h2) h1))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (- (* h0 h0) (* (* h1 h2) h1)) 1) (/ (+ (* h0 h0) (* (* h1 h2) h1)) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) (/ (+ (* h0 h0) (* (* h1 h2) h1)) (sqrt (- (* h0 h0) (* (* h1 h2) h1)))) (/ (+ (* h0 h0) (* (* h1 h2) h1)) (- (* h0 h0) (* (* h1 h2) h1))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (pow (* h0 h0) 3) (pow (* (* h1 h2) h1) 3))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (- (* (* h0 h0) (* h0 h0)) (* (* (* h1 h2) h1) (* (* h1 h2) h1)))) (* (+ (* h0 h0) (* (* h1 h2) h1)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* (* h1 h2) h1) (* (* h1 h2) h1)) (* (* h0 h0) (* (* h1 h2) h1))))) (* (+ (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) (/ (exp (* h0 h0)) (exp (* (* h1 h2) h1))) (log (- (* h0 h0) (* (* h1 h2) h1))) (exp (- (* h0 h0) (* (* h1 h2) h1))) (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (* (* (- (* h0 h0) (* (* h1 h2) h1)) (- (* h0 h0) (* (* h1 h2) h1))) (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (- (pow (* h0 h0) 3) (pow (* (* h1 h2) h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* (* h1 h2) h1) (* (* h1 h2) h1)) (* (* h0 h0) (* (* h1 h2) h1)))) (- (* (* h1 h2) h1)) (- (* (* h0 h0) (* h0 h0)) (* (* (* h1 h2) h1) (* (* h1 h2) h1))) (+ (* h0 h0) (* (* h1 h2) h1)) (- (* (* h1 h2) h1)) (* (exp (* h0 h0)) (exp (* (* h1 h2) h1))) (log (+ (* h0 h0) (* (* h1 h2) h1))) (exp (+ (* h0 h0) (* (* h1 h2) h1))) (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1)))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (* (* (+ (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) (+ (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1))) (+ (pow (* h0 h0) 3) (pow (* (* h1 h2) h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* (* h1 h2) h1) (* (* h1 h2) h1)) (* (* h0 h0) (* (* h1 h2) h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* (* h1 h2) h1) (* (* h1 h2) h1))) (- (* h0 h0) (* (* h1 h2) h1)) h3 1 1 (- (pow h0 2) (* h2 (pow h1 2))) (- (pow h0 2) (* h2 (pow h1 2))) (- (pow h0 2) (* h2 (pow h1 2))) (+ (pow h0 2) (* h2 (pow h1 2))) (+ (pow h0 2) (* h2 (pow h1 2))) (+ (pow h0 2) (* h2 (pow h1 2))) 0.248 * * [simplify]: iteration 0 : 234 enodes (cost 680 ) 0.254 * * [simplify]: iteration 1 : 1007 enodes (cost 622 ) 0.279 * * [simplify]: iteration 2 : 5001 enodes (cost 620 ) 0.282 * * * [progress]: adding candidates to table 0.420 * * [progress]: iteration 2 / 4 0.420 * * * [progress]: picking best candidate 0.426 * * * * [pick]: Picked # 0.426 * * * [progress]: localizing error 0.438 * * * [progress]: generating rewritten candidates 0.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.467 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.474 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.509 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.519 * * * [progress]: generating series expansions 0.520 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.520 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 0.520 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.520 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.520 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [backup-simplify]: Simplify x into x 0.520 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of 4.0 in y 0.520 * [backup-simplify]: Simplify 4.0 into 4.0 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [backup-simplify]: Simplify x into x 0.520 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of 4.0 in y 0.520 * [backup-simplify]: Simplify 4.0 into 4.0 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.520 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.521 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.521 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.521 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.521 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.521 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.521 * [taylor]: Taking taylor expansion of 4.0 in x 0.521 * [backup-simplify]: Simplify 4.0 into 4.0 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [backup-simplify]: Simplify y into y 0.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.521 * [taylor]: Taking taylor expansion of 4.0 in x 0.521 * [backup-simplify]: Simplify 4.0 into 4.0 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [backup-simplify]: Simplify y into y 0.521 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.521 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.521 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.521 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.521 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.522 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.522 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.522 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.522 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.522 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.522 * [taylor]: Taking taylor expansion of 4.0 in x 0.522 * [backup-simplify]: Simplify 4.0 into 4.0 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [backup-simplify]: Simplify y into y 0.522 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.522 * [taylor]: Taking taylor expansion of 4.0 in x 0.522 * [backup-simplify]: Simplify 4.0 into 4.0 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [backup-simplify]: Simplify y into y 0.522 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.522 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.522 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.523 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.523 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.523 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.523 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.523 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.523 * [taylor]: Taking taylor expansion of -1.0 in y 0.523 * [backup-simplify]: Simplify -1.0 into -1.0 0.523 * [backup-simplify]: Simplify -1.0 into -1.0 0.523 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.524 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.525 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify (+ 1 0) into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.531 * [backup-simplify]: Simplify (+ 1 0) into 1 0.531 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 0.531 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.531 * [taylor]: Taking taylor expansion of 0.5 in y 0.531 * [backup-simplify]: Simplify 0.5 into 0.5 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.535 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.536 * [backup-simplify]: Simplify (- 0) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify -1.0 into -1.0 0.539 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.539 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.539 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.539 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [backup-simplify]: Simplify x into x 0.539 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.539 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.539 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.539 * [taylor]: Taking taylor expansion of 4.0 in y 0.539 * [backup-simplify]: Simplify 4.0 into 4.0 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [backup-simplify]: Simplify x into x 0.540 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.540 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.540 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.540 * [taylor]: Taking taylor expansion of 4.0 in y 0.540 * [backup-simplify]: Simplify 4.0 into 4.0 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.541 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.542 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.542 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.542 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.543 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.543 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.543 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.543 * [taylor]: Taking taylor expansion of 4.0 in x 0.544 * [backup-simplify]: Simplify 4.0 into 4.0 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [backup-simplify]: Simplify y into y 0.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.544 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.544 * [taylor]: Taking taylor expansion of 4.0 in x 0.544 * [backup-simplify]: Simplify 4.0 into 4.0 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [backup-simplify]: Simplify y into y 0.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.545 * [backup-simplify]: Simplify (+ 1 0) into 1 0.545 * [backup-simplify]: Simplify (+ 1 0) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.545 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.546 * [taylor]: Taking taylor expansion of 4.0 in x 0.546 * [backup-simplify]: Simplify 4.0 into 4.0 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [backup-simplify]: Simplify y into y 0.546 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.546 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.547 * [taylor]: Taking taylor expansion of 4.0 in x 0.547 * [backup-simplify]: Simplify 4.0 into 4.0 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [backup-simplify]: Simplify y into y 0.547 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.547 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.547 * [backup-simplify]: Simplify (+ 1 0) into 1 0.547 * [backup-simplify]: Simplify (+ 1 0) into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [taylor]: Taking taylor expansion of 1 in y 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.550 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.552 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.552 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.553 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.554 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.554 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.554 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.554 * [taylor]: Taking taylor expansion of 8.0 in y 0.554 * [backup-simplify]: Simplify 8.0 into 8.0 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.559 * [backup-simplify]: Simplify (- 0) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.563 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.563 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.563 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.563 * [taylor]: Taking taylor expansion of x in y 0.563 * [backup-simplify]: Simplify x into x 0.563 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.563 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.563 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.563 * [taylor]: Taking taylor expansion of 4.0 in y 0.563 * [backup-simplify]: Simplify 4.0 into 4.0 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [backup-simplify]: Simplify x into x 0.564 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.564 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.564 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.564 * [taylor]: Taking taylor expansion of 4.0 in y 0.564 * [backup-simplify]: Simplify 4.0 into 4.0 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.565 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.565 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.566 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.566 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.566 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.566 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.567 * [taylor]: Taking taylor expansion of 4.0 in x 0.567 * [backup-simplify]: Simplify 4.0 into 4.0 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [backup-simplify]: Simplify y into y 0.567 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.567 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.568 * [taylor]: Taking taylor expansion of 4.0 in x 0.568 * [backup-simplify]: Simplify 4.0 into 4.0 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [backup-simplify]: Simplify y into y 0.568 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.568 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.569 * [backup-simplify]: Simplify (+ 1 0) into 1 0.569 * [backup-simplify]: Simplify (+ 1 0) into 1 0.569 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.569 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.570 * [taylor]: Taking taylor expansion of 4.0 in x 0.570 * [backup-simplify]: Simplify 4.0 into 4.0 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [backup-simplify]: Simplify y into y 0.570 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.570 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.571 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.571 * [taylor]: Taking taylor expansion of 4.0 in x 0.571 * [backup-simplify]: Simplify 4.0 into 4.0 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [backup-simplify]: Simplify y into y 0.571 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.571 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.571 * [backup-simplify]: Simplify (+ 1 0) into 1 0.571 * [backup-simplify]: Simplify (+ 1 0) into 1 0.572 * [backup-simplify]: Simplify (/ 1 1) into 1 0.572 * [taylor]: Taking taylor expansion of 1 in y 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.576 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.576 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.577 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.578 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.578 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.578 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.578 * [taylor]: Taking taylor expansion of 8.0 in y 0.578 * [backup-simplify]: Simplify 8.0 into 8.0 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (- 0) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.583 * [backup-simplify]: Simplify (- 0) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.587 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.587 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.587 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.587 * [taylor]: Taking taylor expansion of x in y 0.587 * [backup-simplify]: Simplify x into x 0.587 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.587 * [taylor]: Taking taylor expansion of 4.0 in y 0.587 * [backup-simplify]: Simplify 4.0 into 4.0 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.587 * [taylor]: Taking taylor expansion of 4.0 in x 0.587 * [backup-simplify]: Simplify 4.0 into 4.0 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [backup-simplify]: Simplify y into y 0.587 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.587 * [taylor]: Taking taylor expansion of 4.0 in x 0.587 * [backup-simplify]: Simplify 4.0 into 4.0 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [backup-simplify]: Simplify y into y 0.588 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.588 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.588 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.588 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.588 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.588 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.588 * [taylor]: Taking taylor expansion of 4.0 in y 0.588 * [backup-simplify]: Simplify 4.0 into 4.0 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.589 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.591 * [backup-simplify]: Simplify (- 0) into 0 0.591 * [backup-simplify]: Simplify (+ 1 0) into 1 0.591 * [taylor]: Taking taylor expansion of 1 in y 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.592 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.592 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.593 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [taylor]: Taking taylor expansion of 0 in y 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.596 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.598 * [backup-simplify]: Simplify (- 0) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.598 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.599 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [backup-simplify]: Simplify x into x 0.599 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.599 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.599 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of 4.0 in y 0.599 * [backup-simplify]: Simplify 4.0 into 4.0 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (/ 1 1) into 1 0.599 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (* 1 1) into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.600 * [taylor]: Taking taylor expansion of 4.0 in x 0.600 * [backup-simplify]: Simplify 4.0 into 4.0 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [backup-simplify]: Simplify y into y 0.600 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.600 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.600 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (* 1 1) into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.601 * [taylor]: Taking taylor expansion of 4.0 in x 0.601 * [backup-simplify]: Simplify 4.0 into 4.0 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [backup-simplify]: Simplify y into y 0.601 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.601 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.602 * [backup-simplify]: Simplify (+ 1 0) into 1 0.602 * [taylor]: Taking taylor expansion of 1 in y 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.604 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.604 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.604 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.604 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.604 * [taylor]: Taking taylor expansion of 4.0 in y 0.604 * [backup-simplify]: Simplify 4.0 into 4.0 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.605 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.605 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.606 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.612 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [taylor]: Taking taylor expansion of 0 in y 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.614 * [backup-simplify]: Simplify (- 0) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.615 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.615 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.615 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.615 * [taylor]: Taking taylor expansion of x in y 0.615 * [backup-simplify]: Simplify x into x 0.615 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.615 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.615 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.615 * [taylor]: Taking taylor expansion of 4.0 in y 0.615 * [backup-simplify]: Simplify 4.0 into 4.0 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (/ 1 1) into 1 0.616 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (/ 1 1) into 1 0.616 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.616 * [taylor]: Taking taylor expansion of 4.0 in x 0.616 * [backup-simplify]: Simplify 4.0 into 4.0 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [backup-simplify]: Simplify y into y 0.617 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.617 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.617 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (* 1 1) into 1 0.617 * [backup-simplify]: Simplify (/ 1 1) into 1 0.617 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.617 * [taylor]: Taking taylor expansion of 4.0 in x 0.617 * [backup-simplify]: Simplify 4.0 into 4.0 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [backup-simplify]: Simplify y into y 0.617 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.617 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.618 * [backup-simplify]: Simplify (+ 1 0) into 1 0.618 * [taylor]: Taking taylor expansion of 1 in y 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [taylor]: Taking taylor expansion of 0 in y 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.620 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.620 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.620 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.620 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.620 * [taylor]: Taking taylor expansion of 4.0 in y 0.620 * [backup-simplify]: Simplify 4.0 into 4.0 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (* 1 1) into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.621 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.622 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.625 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.628 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.634 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.635 * [backup-simplify]: Simplify (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 0.635 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.635 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.635 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [backup-simplify]: Simplify x into x 0.635 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of 4.0 in y 0.635 * [backup-simplify]: Simplify 4.0 into 4.0 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [backup-simplify]: Simplify x into x 0.635 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of 4.0 in y 0.635 * [backup-simplify]: Simplify 4.0 into 4.0 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.635 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.635 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.635 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.636 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.636 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.636 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.636 * [taylor]: Taking taylor expansion of 4.0 in x 0.636 * [backup-simplify]: Simplify 4.0 into 4.0 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [backup-simplify]: Simplify y into y 0.636 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.636 * [taylor]: Taking taylor expansion of 4.0 in x 0.636 * [backup-simplify]: Simplify 4.0 into 4.0 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [backup-simplify]: Simplify y into y 0.636 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.636 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.636 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.636 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.636 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.636 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.637 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.637 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.637 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.637 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.637 * [taylor]: Taking taylor expansion of 4.0 in x 0.637 * [backup-simplify]: Simplify 4.0 into 4.0 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [backup-simplify]: Simplify y into y 0.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.637 * [taylor]: Taking taylor expansion of 4.0 in x 0.637 * [backup-simplify]: Simplify 4.0 into 4.0 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [backup-simplify]: Simplify y into y 0.637 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.637 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.637 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.637 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.637 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.638 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.638 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.638 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.638 * [taylor]: Taking taylor expansion of -1.0 in y 0.638 * [backup-simplify]: Simplify -1.0 into -1.0 0.638 * [backup-simplify]: Simplify -1.0 into -1.0 0.638 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.638 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.639 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.639 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.641 * [backup-simplify]: Simplify (- 0) into 0 0.642 * [backup-simplify]: Simplify (+ 1 0) into 1 0.642 * [backup-simplify]: Simplify (* 1 1) into 1 0.642 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.643 * [backup-simplify]: Simplify (+ 1 0) into 1 0.643 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 0.643 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.643 * [taylor]: Taking taylor expansion of 0.5 in y 0.643 * [backup-simplify]: Simplify 0.5 into 0.5 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (* 1 1) into 1 0.644 * [backup-simplify]: Simplify (/ 1 1) into 1 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.648 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.648 * [backup-simplify]: Simplify (- 0) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.651 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify -1.0 into -1.0 0.651 * [backup-simplify]: Simplify (log (exp (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.651 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.651 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.651 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.651 * [taylor]: Taking taylor expansion of x in y 0.651 * [backup-simplify]: Simplify x into x 0.651 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.652 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.652 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.652 * [taylor]: Taking taylor expansion of 4.0 in y 0.652 * [backup-simplify]: Simplify 4.0 into 4.0 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (* 1 1) into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [backup-simplify]: Simplify x into x 0.652 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.652 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.652 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.652 * [taylor]: Taking taylor expansion of 4.0 in y 0.652 * [backup-simplify]: Simplify 4.0 into 4.0 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (* 1 1) into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.653 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.654 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.654 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.655 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.655 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.655 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.655 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (* 1 1) into 1 0.656 * [backup-simplify]: Simplify (/ 1 1) into 1 0.656 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.656 * [taylor]: Taking taylor expansion of 4.0 in x 0.656 * [backup-simplify]: Simplify 4.0 into 4.0 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [backup-simplify]: Simplify y into y 0.656 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.656 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify (/ 1 1) into 1 0.657 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.657 * [taylor]: Taking taylor expansion of 4.0 in x 0.657 * [backup-simplify]: Simplify 4.0 into 4.0 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [backup-simplify]: Simplify y into y 0.657 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.657 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.658 * [backup-simplify]: Simplify (+ 1 0) into 1 0.658 * [backup-simplify]: Simplify (+ 1 0) into 1 0.658 * [backup-simplify]: Simplify (/ 1 1) into 1 0.658 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.658 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (* 1 1) into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.659 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.659 * [taylor]: Taking taylor expansion of 4.0 in x 0.659 * [backup-simplify]: Simplify 4.0 into 4.0 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [backup-simplify]: Simplify y into y 0.659 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.659 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (* 1 1) into 1 0.660 * [backup-simplify]: Simplify (/ 1 1) into 1 0.660 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.660 * [taylor]: Taking taylor expansion of 4.0 in x 0.660 * [backup-simplify]: Simplify 4.0 into 4.0 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [backup-simplify]: Simplify y into y 0.660 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.660 * [backup-simplify]: Simplify (+ 1 0) into 1 0.660 * [backup-simplify]: Simplify (+ 1 0) into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [taylor]: Taking taylor expansion of 1 in y 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.664 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.665 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.666 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.666 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.666 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.666 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.666 * [taylor]: Taking taylor expansion of 8.0 in y 0.666 * [backup-simplify]: Simplify 8.0 into 8.0 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.666 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (* 1 1) into 1 0.667 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.671 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.672 * [backup-simplify]: Simplify (- 0) into 0 0.672 * [backup-simplify]: Simplify (+ 0 0) into 0 0.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.674 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.675 * [taylor]: Taking taylor expansion of 0 in y 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (log (exp (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.675 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.675 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.675 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.676 * [taylor]: Taking taylor expansion of x in y 0.676 * [backup-simplify]: Simplify x into x 0.676 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.676 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.676 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.676 * [taylor]: Taking taylor expansion of 4.0 in y 0.676 * [backup-simplify]: Simplify 4.0 into 4.0 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [backup-simplify]: Simplify (* 1 1) into 1 0.676 * [backup-simplify]: Simplify (/ 1 1) into 1 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.676 * [taylor]: Taking taylor expansion of x in y 0.676 * [backup-simplify]: Simplify x into x 0.677 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.677 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.677 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.677 * [taylor]: Taking taylor expansion of 4.0 in y 0.677 * [backup-simplify]: Simplify 4.0 into 4.0 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify (* 1 1) into 1 0.677 * [backup-simplify]: Simplify (/ 1 1) into 1 0.678 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.678 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.678 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.679 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.679 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.679 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.679 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.679 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (* 1 1) into 1 0.680 * [backup-simplify]: Simplify (/ 1 1) into 1 0.680 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.680 * [taylor]: Taking taylor expansion of 4.0 in x 0.680 * [backup-simplify]: Simplify 4.0 into 4.0 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [backup-simplify]: Simplify y into y 0.680 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.680 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (* 1 1) into 1 0.681 * [backup-simplify]: Simplify (/ 1 1) into 1 0.681 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.681 * [taylor]: Taking taylor expansion of 4.0 in x 0.681 * [backup-simplify]: Simplify 4.0 into 4.0 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [backup-simplify]: Simplify y into y 0.681 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.681 * [backup-simplify]: Simplify (+ 1 0) into 1 0.682 * [backup-simplify]: Simplify (+ 1 0) into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.682 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.682 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (* 1 1) into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.682 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.682 * [taylor]: Taking taylor expansion of 4.0 in x 0.682 * [backup-simplify]: Simplify 4.0 into 4.0 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.682 * [taylor]: Taking taylor expansion of y in x 0.682 * [backup-simplify]: Simplify y into y 0.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (* 1 1) into 1 0.683 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.683 * [taylor]: Taking taylor expansion of 4.0 in x 0.683 * [backup-simplify]: Simplify 4.0 into 4.0 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [backup-simplify]: Simplify y into y 0.683 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.684 * [backup-simplify]: Simplify (+ 1 0) into 1 0.684 * [backup-simplify]: Simplify (+ 1 0) into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [taylor]: Taking taylor expansion of 1 in y 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.688 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.688 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.689 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.690 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.690 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.690 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.690 * [taylor]: Taking taylor expansion of 8.0 in y 0.690 * [backup-simplify]: Simplify 8.0 into 8.0 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (* 1 1) into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.695 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.695 * [backup-simplify]: Simplify (- 0) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.697 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.699 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.699 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.699 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.699 * [backup-simplify]: Simplify x into x 0.699 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.699 * [taylor]: Taking taylor expansion of 4.0 in y 0.699 * [backup-simplify]: Simplify 4.0 into 4.0 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.699 * [taylor]: Taking taylor expansion of 4.0 in x 0.699 * [backup-simplify]: Simplify 4.0 into 4.0 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [backup-simplify]: Simplify y into y 0.699 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.699 * [taylor]: Taking taylor expansion of 4.0 in x 0.699 * [backup-simplify]: Simplify 4.0 into 4.0 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [backup-simplify]: Simplify y into y 0.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.699 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.699 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.699 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.699 * [taylor]: Taking taylor expansion of 4.0 in y 0.699 * [backup-simplify]: Simplify 4.0 into 4.0 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 1 into 1 0.700 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.700 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify (* 1 1) into 1 0.701 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.702 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.702 * [backup-simplify]: Simplify (+ 1 0) into 1 0.702 * [taylor]: Taking taylor expansion of 1 in y 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.702 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.702 * [backup-simplify]: Simplify 4.0 into 4.0 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.703 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.705 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.706 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.707 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.708 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.708 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.708 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.708 * [taylor]: Taking taylor expansion of x in y 0.708 * [backup-simplify]: Simplify x into x 0.708 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.708 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.708 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.708 * [taylor]: Taking taylor expansion of 4.0 in y 0.708 * [backup-simplify]: Simplify 4.0 into 4.0 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (* 1 1) into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (* 1 1) into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.709 * [taylor]: Taking taylor expansion of 4.0 in x 0.710 * [backup-simplify]: Simplify 4.0 into 4.0 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [backup-simplify]: Simplify y into y 0.710 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.710 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.710 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (* 1 1) into 1 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.710 * [taylor]: Taking taylor expansion of 4.0 in x 0.710 * [backup-simplify]: Simplify 4.0 into 4.0 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [backup-simplify]: Simplify y into y 0.710 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.711 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.711 * [backup-simplify]: Simplify (+ 1 0) into 1 0.711 * [taylor]: Taking taylor expansion of 1 in y 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.713 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.713 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.714 * [taylor]: Taking taylor expansion of 4.0 in y 0.714 * [backup-simplify]: Simplify 4.0 into 4.0 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 1 into 1 0.714 * [backup-simplify]: Simplify (* 1 1) into 1 0.714 * [backup-simplify]: Simplify (/ 1 1) into 1 0.714 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.714 * [backup-simplify]: Simplify 4.0 into 4.0 0.714 * [backup-simplify]: Simplify 1 into 1 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.716 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.720 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.723 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.723 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.723 * [backup-simplify]: Simplify x into x 0.723 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.723 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.723 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.723 * [taylor]: Taking taylor expansion of 4.0 in y 0.723 * [backup-simplify]: Simplify 4.0 into 4.0 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (* 1 1) into 1 0.724 * [backup-simplify]: Simplify (/ 1 1) into 1 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (* 1 1) into 1 0.724 * [backup-simplify]: Simplify (/ 1 1) into 1 0.724 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.724 * [taylor]: Taking taylor expansion of 4.0 in x 0.724 * [backup-simplify]: Simplify 4.0 into 4.0 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [backup-simplify]: Simplify y into y 0.724 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.724 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.725 * [taylor]: Taking taylor expansion of 4.0 in x 0.725 * [backup-simplify]: Simplify 4.0 into 4.0 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [backup-simplify]: Simplify y into y 0.725 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.725 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.726 * [backup-simplify]: Simplify (+ 1 0) into 1 0.726 * [taylor]: Taking taylor expansion of 1 in y 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in y 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.728 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.728 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.728 * [taylor]: Taking taylor expansion of 4.0 in y 0.728 * [backup-simplify]: Simplify 4.0 into 4.0 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.729 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.729 * [backup-simplify]: Simplify 4.0 into 4.0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.731 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.739 * * * [progress]: simplifying candidates 0.741 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (log (* (cbrt (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))))) (log (cbrt (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (log (sqrt (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (log (sqrt (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (log 1) (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log (exp (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))))) (log (exp (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (log (exp (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))))) (log (exp (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (log (exp (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1))) (log (exp (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))))) (log (exp (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (log (exp (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1))) (log (exp (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))))) (log (exp (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- (* x x) (* (* y 4.0) y)))) (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))))) (log (exp (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))))) (log (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (exp (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (* (cbrt (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))))) (cbrt (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (* (* (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (sqrt (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (sqrt (log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) -1.0 1 1 (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) 0.741 * [simplify]: Sending expressions to egg_math: (- (log (- (* h0 h0) (* (* h1 h2) h1))) (log (+ (* h0 h0) (* (* h1 h2) h1)))) (log (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (* (* (- (* h0 h0) (* (* h1 h2) h1)) (- (* h0 h0) (* (* h1 h2) h1))) (- (* h0 h0) (* (* h1 h2) h1))) (* (* (+ (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) (+ (* h0 h0) (* (* h1 h2) h1)))) (* (cbrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (cbrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))))) (cbrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (* (* (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (sqrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (sqrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (- (- (* h0 h0) (* (* h1 h2) h1))) (- (+ (* h0 h0) (* (* h1 h2) h1))) (/ (* h0 h0) (+ (* h0 h0) (* (* h1 h2) h1))) (/ (* (* h1 h2) h1) (+ (* h0 h0) (* (* h1 h2) h1))) (/ (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))) (/ (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) 1) (/ (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (+ (* h0 h0) (* (* h1 h2) h1))) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) 1) (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (+ (* h0 h0) (* (* h1 h2) h1))) (/ 1 (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (cbrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ 1 (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ 1 1) (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) (/ 1 (+ (* h0 h0) (* (* h1 h2) h1))) (/ (+ (* h0 h0) (* (* h1 h2) h1)) (- (* h0 h0) (* (* h1 h2) h1))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))) (/ (- (* h0 h0) (* (* h1 h2) h1)) 1) (/ (+ (* h0 h0) (* (* h1 h2) h1)) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) (/ (+ (* h0 h0) (* (* h1 h2) h1)) (sqrt (- (* h0 h0) (* (* h1 h2) h1)))) (/ (+ (* h0 h0) (* (* h1 h2) h1)) (- (* h0 h0) (* (* h1 h2) h1))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (pow (* h0 h0) 3) (pow (* (* h1 h2) h1) 3))) (/ (- (* h0 h0) (* (* h1 h2) h1)) (- (* (* h0 h0) (* h0 h0)) (* (* (* h1 h2) h1) (* (* h1 h2) h1)))) (* (+ (* h0 h0) (* (* h1 h2) h1)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* (* h1 h2) h1) (* (* h1 h2) h1)) (* (* h0 h0) (* (* h1 h2) h1))))) (* (+ (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) (/ (exp (* h0 h0)) (exp (* (* h1 h2) h1))) (log (- (* h0 h0) (* (* h1 h2) h1))) (exp (- (* h0 h0) (* (* h1 h2) h1))) (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (* (* (- (* h0 h0) (* (* h1 h2) h1)) (- (* h0 h0) (* (* h1 h2) h1))) (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (- (pow (* h0 h0) 3) (pow (* (* h1 h2) h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* (* h1 h2) h1) (* (* h1 h2) h1)) (* (* h0 h0) (* (* h1 h2) h1)))) (- (* (* h1 h2) h1)) (- (* (* h0 h0) (* h0 h0)) (* (* (* h1 h2) h1) (* (* h1 h2) h1))) (+ (* h0 h0) (* (* h1 h2) h1)) (- (* (* h1 h2) h1)) (log (* (cbrt (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))))) (cbrt (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))))))) (log (cbrt (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (log (sqrt (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (log (sqrt (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (log 1) (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))))) (log (exp (/ (* h0 h0) (+ (* h0 h0) (* (* h1 h2) h1))))) (log (exp (/ (* (* h1 h2) h1) (+ (* h0 h0) (* (* h1 h2) h1))))) (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))))) (log (exp (* (cbrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))) (cbrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))))))) (log (exp (sqrt (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (log (exp (/ (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))))) (log (exp (/ (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))))) (log (exp (/ (* (cbrt (- (* h0 h0) (* (* h1 h2) h1))) (cbrt (- (* h0 h0) (* (* h1 h2) h1)))) 1))) (log (exp (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))))) (log (exp (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))))) (log (exp (/ (sqrt (- (* h0 h0) (* (* h1 h2) h1))) 1))) (log (exp (/ 1 (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))))))) (log (exp (/ 1 (sqrt (+ (* h0 h0) (* (* h1 h2) h1)))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- (* h0 h0) (* (* h1 h2) h1)))) (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (pow (* h0 h0) 3) (pow (* (* h1 h2) h1) 3))))) (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (- (* (* h0 h0) (* h0 h0)) (* (* (* h1 h2) h1) (* (* h1 h2) h1)))))) (log (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (exp (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (* (cbrt (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (cbrt (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))))))) (cbrt (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (* (* (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))))) (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (sqrt (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (sqrt (log (exp (/ (- (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1)))))) (* (exp (* h0 h0)) (exp (* (* h1 h2) h1))) (log (+ (* h0 h0) (* (* h1 h2) h1))) (exp (+ (* h0 h0) (* (* h1 h2) h1))) (* (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1)))) (cbrt (+ (* h0 h0) (* (* h1 h2) h1))) (* (* (+ (* h0 h0) (* (* h1 h2) h1)) (+ (* h0 h0) (* (* h1 h2) h1))) (+ (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1))) (sqrt (+ (* h0 h0) (* (* h1 h2) h1))) (+ (pow (* h0 h0) 3) (pow (* (* h1 h2) h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* (* h1 h2) h1) (* (* h1 h2) h1)) (* (* h0 h0) (* (* h1 h2) h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* (* h1 h2) h1) (* (* h1 h2) h1))) (- (* h0 h0) (* (* h1 h2) h1)) h3 1 1 (- (pow h0 2) (* h2 (pow h1 2))) (- (pow h0 2) (* h2 (pow h1 2))) (- (pow h0 2) (* h2 (pow h1 2))) h3 1 1 (+ (pow h0 2) (* h2 (pow h1 2))) (+ (pow h0 2) (* h2 (pow h1 2))) (+ (pow h0 2) (* h2 (pow h1 2))) 0.747 * * [simplify]: iteration 0 : 287 enodes (cost 1034 ) 0.753 * * [simplify]: iteration 1 : 1088 enodes (cost 945 ) 0.774 * * [simplify]: iteration 2 : 5002 enodes (cost 942 ) 0.779 * * * [progress]: adding candidates to table 0.993 * * [progress]: iteration 3 / 4 0.993 * * * [progress]: picking best candidate 0.997 * * * * [pick]: Picked # 0.997 * * * [progress]: localizing error 0.997 * * * [progress]: generating rewritten candidates 0.997 * * * [progress]: generating series expansions 0.997 * * * [progress]: simplifying candidates 0.997 * [simplify]: Simplifying: 0.997 * [simplify]: Sending expressions to egg_math: 1.000 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.000 * * * [progress]: adding candidates to table 1.000 * * [progress]: iteration 4 / 4 1.000 * * * [progress]: picking best candidate 1.004 * * * * [pick]: Picked # 1.004 * * * [progress]: localizing error 1.009 * * * [progress]: generating rewritten candidates 1.009 * * * [progress]: generating series expansions 1.009 * * * [progress]: simplifying candidates 1.009 * [simplify]: Simplifying: 1.009 * [simplify]: Sending expressions to egg_math: 1.011 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.011 * * * [progress]: adding candidates to table 1.011 * [progress]: [Phase 3 of 3] Extracting. 1.011 * * [regime]: Finding splitpoints for: (# # # #) 1.012 * * * [regime-changes]: Trying 5 branch expressions: ((* (* y 4.0) y) (* x x) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) y x) 1.012 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # #) 1.046 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.070 * * * * [regimes]: Trying to branch on (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) from (# # # #) 1.085 * * * * [regimes]: Trying to branch on y from (# # # #) 1.130 * * * * [regimes]: Trying to branch on x from (# # # #) 1.165 * * * [regime]: Found split indices: #