21.480 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (/ (+ x y) (- x y)) 0.028 * * [simplify]: iteration 0: 5 enodes 0.029 * * [simplify]: iteration 1: 8 enodes 0.031 * * [simplify]: iteration 2: 9 enodes 0.033 * * [simplify]: iteration complete: 9 enodes 0.033 * * [simplify]: Extracting #0: cost 1 inf + 0 0.033 * * [simplify]: Extracting #1: cost 3 inf + 0 0.033 * * [simplify]: Extracting #2: cost 6 inf + 0 0.033 * * [simplify]: Extracting #3: cost 3 inf + 43 0.034 * * [simplify]: Extracting #4: cost 0 inf + 249 0.034 * [simplify]: Simplified to: (/ (+ y x) (- x y)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.083 * [backup-simplify]: Simplify (/ (+ x y) (- x y)) into (/ (+ x y) (- x y)) 0.083 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.083 * [taylor]: Taking taylor expansion of (+ x y) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [backup-simplify]: Simplify x into x 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (- x y) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [backup-simplify]: Simplify x into x 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (+ x 0) into x 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ x 0) into x 0.085 * [backup-simplify]: Simplify (/ x x) into 1 0.085 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.085 * [taylor]: Taking taylor expansion of (+ x y) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [taylor]: Taking taylor expansion of (- x y) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (+ 0 y) into y 0.085 * [backup-simplify]: Simplify (- y) into (- y) 0.085 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.085 * [backup-simplify]: Simplify (/ y (- y)) into -1 0.085 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.085 * [taylor]: Taking taylor expansion of (+ x y) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [taylor]: Taking taylor expansion of (- x y) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (+ 0 y) into y 0.086 * [backup-simplify]: Simplify (- y) into (- y) 0.086 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.086 * [backup-simplify]: Simplify (/ y (- y)) into -1 0.086 * [taylor]: Taking taylor expansion of -1 in y 0.086 * [backup-simplify]: Simplify -1 into -1 0.086 * [backup-simplify]: Simplify -1 into -1 0.087 * [backup-simplify]: Simplify (+ 1 0) into 1 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [backup-simplify]: Simplify (- (/ 1 (- y)) (+ (* -1 (/ 1 (- y))))) into (- (* 2 (/ 1 y))) 0.088 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.088 * [taylor]: Taking taylor expansion of 2 in y 0.088 * [backup-simplify]: Simplify 2 into 2 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* -1 (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 2)))) 0.092 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.092 * [taylor]: Taking taylor expansion of 2 in y 0.092 * [backup-simplify]: Simplify 2 into 2 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* -1 (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 0 (- y))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 3)))) 0.100 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.100 * [taylor]: Taking taylor expansion of 2 in y 0.100 * [backup-simplify]: Simplify 2 into 2 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 -1 into -1 0.107 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) 0.107 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [backup-simplify]: Simplify x into x 0.107 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [backup-simplify]: Simplify x into x 0.107 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (+ 0 1) into 1 0.108 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.108 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.108 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [backup-simplify]: Simplify y into y 0.111 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.111 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 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 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.111 * [backup-simplify]: Simplify (+ 1 0) into 1 0.111 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.113 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.113 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 y)) 0.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.113 * [taylor]: Taking taylor expansion of 2 in y 0.113 * [backup-simplify]: Simplify 2 into 2 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 2))) 0.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.117 * [taylor]: Taking taylor expansion of 2 in y 0.117 * [backup-simplify]: Simplify 2 into 2 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* (* 2 (/ 1 (pow y 2))) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 3))) 0.125 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.125 * [taylor]: Taking taylor expansion of 2 in y 0.125 * [backup-simplify]: Simplify 2 into 2 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.125 * [taylor]: Taking taylor expansion of (pow y 3) 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 0.125 * [backup-simplify]: Simplify (* 1 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 0) (* 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) 0.131 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in y 0.131 * [taylor]: Taking taylor expansion of -1 in y 0.131 * [backup-simplify]: Simplify -1 into -1 0.131 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in y 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.133 * [backup-simplify]: Simplify (+ 0 1) into 1 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [backup-simplify]: Simplify -1 into -1 0.133 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [backup-simplify]: Simplify (- 1) into -1 0.135 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.135 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.135 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in x 0.135 * [taylor]: Taking taylor expansion of -1 in x 0.135 * [backup-simplify]: Simplify -1 into -1 0.135 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify (- 1) into -1 0.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.137 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.137 * [backup-simplify]: Simplify (* -1 -1) into 1 0.137 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.139 * [backup-simplify]: Simplify (- (/ (/ 1 y) -1) (+ (* -1 (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 y))) 0.139 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 y)))) (* 0 -1)) into (* 2 (/ 1 y)) 0.139 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.139 * [taylor]: Taking taylor expansion of 2 in y 0.139 * [backup-simplify]: Simplify 2 into 2 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.139 * [taylor]: Taking taylor expansion of y in y 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 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.144 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 (- (* 2 (/ 1 y)))) (* 0 -1))) into (* 2 (/ 1 (pow y 2))) 0.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.144 * [taylor]: Taking taylor expansion of 2 in y 0.144 * [backup-simplify]: Simplify 2 into 2 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 3)))) 0.152 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 3))))) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 (- (* 2 (/ 1 y)))) (* 0 -1)))) into (* 2 (/ 1 (pow y 3))) 0.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.152 * [taylor]: Taking taylor expansion of 2 in y 0.152 * [backup-simplify]: Simplify 2 into 2 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * * * [progress]: simplifying candidates 0.161 * [simplify]: Simplifying: (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (- (log (+ x y)) (log (- x y))) (log (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (* (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (- (+ x y)) (- (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt (+ x y)) (cbrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) (/ (cbrt (+ x y)) (sqrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (cbrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (sqrt (- x y))) (/ (+ x y) 1) (/ (+ x y) (+ (sqrt x) (sqrt y))) (/ (+ x y) 1) (/ (- x y) (cbrt (+ x y))) (/ (- x y) (sqrt (+ x y))) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ (+ x y) (- (* x x) (* y y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (- x y)) -1 1 1 0.162 * * [simplify]: iteration 0: 78 enodes 0.177 * * [simplify]: iteration 1: 180 enodes 0.221 * * [simplify]: iteration 2: 485 enodes 0.532 * * [simplify]: iteration 3: 1708 enodes 1.574 * * [simplify]: iteration complete: 5009 enodes 1.574 * * [simplify]: Extracting #0: cost 44 inf + 0 1.575 * * [simplify]: Extracting #1: cost 307 inf + 2 1.583 * * [simplify]: Extracting #2: cost 1032 inf + 4244 1.615 * * [simplify]: Extracting #3: cost 1311 inf + 41302 1.657 * * [simplify]: Extracting #4: cost 504 inf + 216013 1.722 * * [simplify]: Extracting #5: cost 34 inf + 282824 1.793 * * [simplify]: Extracting #6: cost 7 inf + 287564 1.874 * * [simplify]: Extracting #7: cost 0 inf + 289334 1.960 * [simplify]: Simplified to: (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (log (/ (+ x y) (- x y))) (log (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y))) (* (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (/ (+ x y) (- x y))) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (* (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (- (- x) y) (+ y (- x)) (* (/ (cbrt (+ x y)) (cbrt (- x y))) (/ (cbrt (+ x y)) (cbrt (- x y)))) (/ (cbrt (+ x y)) (cbrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) (/ (cbrt (+ x y)) (sqrt (- x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- x y)) (/ (cbrt (+ x y)) (/ (+ (sqrt x) (sqrt y)) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (cbrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)) (/ (/ 1 (cbrt (- x y))) (cbrt (- x y))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) (/ (/ 1 (cbrt (- x y))) (cbrt (- x y))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) 1 (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) 1 (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (sqrt (- x y))) (+ x y) (/ (+ x y) (+ (sqrt x) (sqrt y))) (+ x y) (/ (- x y) (cbrt (+ x y))) (/ (- x y) (sqrt (+ x y))) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (* x (* x x)) (* y (* y y)))) (/ 1 (- x y)) (* (- x y) (fma y y (* (- x y) x))) (* (- x y) (- x y)) -1 1 1 1.964 * * * [progress]: adding candidates to table 2.157 * * [progress]: iteration 2 / 4 2.157 * * * [progress]: picking best candidate 2.171 * * * * [pick]: Picked # 2.171 * * * [progress]: localizing error 2.186 * * * [progress]: generating rewritten candidates 2.186 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.217 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.263 * * * [progress]: generating series expansions 2.263 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.264 * [backup-simplify]: Simplify (/ (- x y) (+ x y)) into (/ (- x y) (+ x y)) 2.264 * [approximate]: Taking taylor expansion of (/ (- x y) (+ x y)) in (x y) around 0 2.264 * [taylor]: Taking taylor expansion of (/ (- x y) (+ x y)) in y 2.264 * [taylor]: Taking taylor expansion of (- x y) in y 2.264 * [taylor]: Taking taylor expansion of x in y 2.264 * [backup-simplify]: Simplify x into x 2.264 * [taylor]: Taking taylor expansion of y in y 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [taylor]: Taking taylor expansion of (+ x y) in y 2.264 * [taylor]: Taking taylor expansion of x in y 2.264 * [backup-simplify]: Simplify x into x 2.264 * [taylor]: Taking taylor expansion of y in y 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (- 0) into 0 2.265 * [backup-simplify]: Simplify (+ x 0) into x 2.265 * [backup-simplify]: Simplify (+ x 0) into x 2.265 * [backup-simplify]: Simplify (/ x x) into 1 2.265 * [taylor]: Taking taylor expansion of (/ (- x y) (+ x y)) in x 2.265 * [taylor]: Taking taylor expansion of (- x y) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [taylor]: Taking taylor expansion of y in x 2.265 * [backup-simplify]: Simplify y into y 2.265 * [taylor]: Taking taylor expansion of (+ x y) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [taylor]: Taking taylor expansion of y in x 2.265 * [backup-simplify]: Simplify y into y 2.265 * [backup-simplify]: Simplify (- y) into (- y) 2.265 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.265 * [backup-simplify]: Simplify (+ 0 y) into y 2.265 * [backup-simplify]: Simplify (/ (- y) y) into -1 2.265 * [taylor]: Taking taylor expansion of (/ (- x y) (+ x y)) in x 2.265 * [taylor]: Taking taylor expansion of (- x y) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [taylor]: Taking taylor expansion of y in x 2.265 * [backup-simplify]: Simplify y into y 2.266 * [taylor]: Taking taylor expansion of (+ x y) in x 2.266 * [taylor]: Taking taylor expansion of x in x 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [taylor]: Taking taylor expansion of y in x 2.266 * [backup-simplify]: Simplify y into y 2.266 * [backup-simplify]: Simplify (- y) into (- y) 2.266 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.266 * [backup-simplify]: Simplify (+ 0 y) into y 2.266 * [backup-simplify]: Simplify (/ (- y) y) into -1 2.266 * [taylor]: Taking taylor expansion of -1 in y 2.266 * [backup-simplify]: Simplify -1 into -1 2.266 * [backup-simplify]: Simplify -1 into -1 2.266 * [backup-simplify]: Simplify (- 0) into 0 2.267 * [backup-simplify]: Simplify (+ 1 0) into 1 2.267 * [backup-simplify]: Simplify (+ 1 0) into 1 2.267 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* -1 (/ 1 y)))) into (* 2 (/ 1 y)) 2.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.268 * [taylor]: Taking taylor expansion of 2 in y 2.268 * [backup-simplify]: Simplify 2 into 2 2.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.268 * [taylor]: Taking taylor expansion of y in y 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (/ 1 1) into 1 2.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.269 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (- 0) into 0 2.270 * [backup-simplify]: Simplify (+ 0 0) into 0 2.271 * [backup-simplify]: Simplify (+ 0 0) into 0 2.271 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* -1 (/ 0 y)) (* (* 2 (/ 1 y)) (/ 1 y)))) into (- (* 2 (/ 1 (pow y 2)))) 2.271 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.271 * [taylor]: Taking taylor expansion of 2 in y 2.271 * [backup-simplify]: Simplify 2 into 2 2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.271 * [taylor]: Taking taylor expansion of y in y 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (* 1 1) into 1 2.272 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.276 * [backup-simplify]: Simplify (- 0) into 0 2.276 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify (- 0) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* -1 (/ 0 y)) (* (* 2 (/ 1 y)) (/ 0 y)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 1 y)))) into (* 2 (/ 1 (pow y 3))) 2.280 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 2.280 * [taylor]: Taking taylor expansion of 2 in y 2.280 * [backup-simplify]: Simplify 2 into 2 2.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.280 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.280 * [taylor]: Taking taylor expansion of y in y 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (* 1 1) into 1 2.281 * [backup-simplify]: Simplify (* 1 1) into 1 2.281 * [backup-simplify]: Simplify (/ 1 1) into 1 2.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify -1 into -1 2.290 * [backup-simplify]: Simplify (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) 2.290 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in (x y) around 0 2.290 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in y 2.290 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.290 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.290 * [taylor]: Taking taylor expansion of x in y 2.290 * [backup-simplify]: Simplify x into x 2.290 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.290 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.290 * [taylor]: Taking taylor expansion of y in y 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (/ 1 1) into 1 2.291 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.291 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.291 * [taylor]: Taking taylor expansion of x in y 2.291 * [backup-simplify]: Simplify x into x 2.291 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.291 * [taylor]: Taking taylor expansion of y in y 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (/ 1 1) into 1 2.291 * [backup-simplify]: Simplify (- 1) into -1 2.292 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.292 * [backup-simplify]: Simplify (+ 0 1) into 1 2.292 * [backup-simplify]: Simplify (/ -1 1) into -1 2.292 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x 2.292 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (/ 1 1) into 1 2.292 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.292 * [taylor]: Taking taylor expansion of y in x 2.292 * [backup-simplify]: Simplify y into y 2.293 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.293 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.293 * [taylor]: Taking taylor expansion of x in x 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (/ 1 1) into 1 2.293 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.293 * [taylor]: Taking taylor expansion of y in x 2.293 * [backup-simplify]: Simplify y into y 2.293 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.293 * [backup-simplify]: Simplify (+ 1 0) into 1 2.293 * [backup-simplify]: Simplify (+ 1 0) into 1 2.294 * [backup-simplify]: Simplify (/ 1 1) into 1 2.294 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x 2.294 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.294 * [taylor]: Taking taylor expansion of x in x 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (/ 1 1) into 1 2.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.294 * [taylor]: Taking taylor expansion of y in x 2.294 * [backup-simplify]: Simplify y into y 2.294 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.294 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.294 * [taylor]: Taking taylor expansion of x in x 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (/ 1 1) into 1 2.295 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.295 * [taylor]: Taking taylor expansion of y in x 2.295 * [backup-simplify]: Simplify y into y 2.295 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.295 * [backup-simplify]: Simplify (+ 1 0) into 1 2.295 * [backup-simplify]: Simplify (+ 1 0) into 1 2.295 * [backup-simplify]: Simplify (/ 1 1) into 1 2.295 * [taylor]: Taking taylor expansion of 1 in y 2.295 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify 1 into 1 2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.296 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.297 * [backup-simplify]: Simplify (- (/ (- (/ 1 y)) 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (* 2 (/ 1 y))) 2.297 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 2.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.297 * [taylor]: Taking taylor expansion of 2 in y 2.297 * [backup-simplify]: Simplify 2 into 2 2.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.297 * [taylor]: Taking taylor expansion of y in y 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (/ 1 1) into 1 2.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.298 * [backup-simplify]: Simplify (- 0) into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.299 * [backup-simplify]: Simplify (- 0) into 0 2.299 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.300 * [backup-simplify]: Simplify (+ 0 0) into 0 2.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 y))) (/ (/ 1 y) 1)))) into (* 2 (/ 1 (pow y 2))) 2.301 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.301 * [taylor]: Taking taylor expansion of 2 in y 2.301 * [backup-simplify]: Simplify 2 into 2 2.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.301 * [taylor]: Taking taylor expansion of y in y 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [backup-simplify]: Simplify (* 1 1) into 1 2.302 * [backup-simplify]: Simplify (/ 1 1) into 1 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.306 * [backup-simplify]: Simplify (- 0) into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.308 * [backup-simplify]: Simplify (- 0) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.310 * [backup-simplify]: Simplify (+ 0 0) into 0 2.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 y))) (/ 0 1)) (* (* 2 (/ 1 (pow y 2))) (/ (/ 1 y) 1)))) into (- (* 2 (/ 1 (pow y 3)))) 2.311 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 2.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 2.311 * [taylor]: Taking taylor expansion of 2 in y 2.311 * [backup-simplify]: Simplify 2 into 2 2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.311 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.311 * [taylor]: Taking taylor expansion of y in y 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.312 * [backup-simplify]: Simplify (* 1 1) into 1 2.312 * [backup-simplify]: Simplify (* 1 1) into 1 2.312 * [backup-simplify]: Simplify (/ 1 1) into 1 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (- 0) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) 2.318 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 2.318 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in y 2.318 * [taylor]: Taking taylor expansion of -1 in y 2.318 * [backup-simplify]: Simplify -1 into -1 2.318 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y 2.318 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.318 * [taylor]: Taking taylor expansion of y in y 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.318 * [taylor]: Taking taylor expansion of x in y 2.318 * [backup-simplify]: Simplify x into x 2.318 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.318 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.318 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.318 * [taylor]: Taking taylor expansion of x in y 2.318 * [backup-simplify]: Simplify x into x 2.318 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.318 * [taylor]: Taking taylor expansion of y in y 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (/ 1 1) into 1 2.319 * [backup-simplify]: Simplify (+ 1 0) into 1 2.319 * [backup-simplify]: Simplify (+ 0 1) into 1 2.319 * [backup-simplify]: Simplify (/ 1 1) into 1 2.319 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in x 2.319 * [taylor]: Taking taylor expansion of -1 in x 2.320 * [backup-simplify]: Simplify -1 into -1 2.320 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 2.320 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.320 * [taylor]: Taking taylor expansion of y in x 2.320 * [backup-simplify]: Simplify y into y 2.320 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.320 * [taylor]: Taking taylor expansion of x in x 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (/ 1 1) into 1 2.320 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.320 * [taylor]: Taking taylor expansion of x in x 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (/ 1 1) into 1 2.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.320 * [taylor]: Taking taylor expansion of y in x 2.320 * [backup-simplify]: Simplify y into y 2.320 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.321 * [backup-simplify]: Simplify (- 1) into -1 2.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.321 * [backup-simplify]: Simplify (+ 1 0) into 1 2.321 * [backup-simplify]: Simplify (/ -1 1) into -1 2.321 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in x 2.321 * [taylor]: Taking taylor expansion of -1 in x 2.321 * [backup-simplify]: Simplify -1 into -1 2.321 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 2.321 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.322 * [taylor]: Taking taylor expansion of y in x 2.322 * [backup-simplify]: Simplify y into y 2.322 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.322 * [taylor]: Taking taylor expansion of x in x 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (/ 1 1) into 1 2.322 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.322 * [taylor]: Taking taylor expansion of x in x 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (/ 1 1) into 1 2.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.322 * [taylor]: Taking taylor expansion of y in x 2.322 * [backup-simplify]: Simplify y into y 2.322 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.323 * [backup-simplify]: Simplify (- 1) into -1 2.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.323 * [backup-simplify]: Simplify (+ 1 0) into 1 2.323 * [backup-simplify]: Simplify (/ -1 1) into -1 2.324 * [backup-simplify]: Simplify (* -1 -1) into 1 2.324 * [taylor]: Taking taylor expansion of 1 in y 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (- 0) into 0 2.324 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.325 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* -1 (/ (/ 1 y) 1)))) into (* 2 (/ 1 y)) 2.325 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 y))) (* 0 -1)) into (- (* 2 (/ 1 y))) 2.325 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 2.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.325 * [taylor]: Taking taylor expansion of 2 in y 2.325 * [backup-simplify]: Simplify 2 into 2 2.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.325 * [taylor]: Taking taylor expansion of y in y 2.325 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (/ 1 1) into 1 2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.327 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.327 * [backup-simplify]: Simplify (- 0) into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.328 * [backup-simplify]: Simplify (- 0) into 0 2.328 * [backup-simplify]: Simplify (+ 0 0) into 0 2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ (/ 1 y) 1)))) into (- (* 2 (/ 1 (pow y 2)))) 2.331 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 (* 2 (/ 1 y))) (* 0 -1))) into (* 2 (/ 1 (pow y 2))) 2.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.331 * [taylor]: Taking taylor expansion of 2 in y 2.331 * [backup-simplify]: Simplify 2 into 2 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.331 * [taylor]: Taking taylor expansion of y in y 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (* 1 1) into 1 2.332 * [backup-simplify]: Simplify (/ 1 1) into 1 2.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.336 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.338 * [backup-simplify]: Simplify (- 0) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (- 0) into 0 2.340 * [backup-simplify]: Simplify (+ 0 0) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.341 * [backup-simplify]: Simplify (+ 0 0) into 0 2.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ (/ 1 y) 1)))) into (* 2 (/ 1 (pow y 3))) 2.344 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 3)))) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 (* 2 (/ 1 y))) (* 0 -1)))) into (- (* 2 (/ 1 (pow y 3)))) 2.344 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 2.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 2.344 * [taylor]: Taking taylor expansion of 2 in y 2.344 * [backup-simplify]: Simplify 2 into 2 2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.344 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.344 * [taylor]: Taking taylor expansion of y in y 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 1 into 1 2.345 * [backup-simplify]: Simplify (* 1 1) into 1 2.345 * [backup-simplify]: Simplify (* 1 1) into 1 2.346 * [backup-simplify]: Simplify (/ 1 1) into 1 2.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (- 0) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 1 into 1 2.355 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.355 * [backup-simplify]: Simplify (/ 1 (/ (- x y) (+ x y))) into (/ (+ x y) (- x y)) 2.355 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 2.355 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 2.355 * [taylor]: Taking taylor expansion of (+ x y) in y 2.355 * [taylor]: Taking taylor expansion of x in y 2.355 * [backup-simplify]: Simplify x into x 2.355 * [taylor]: Taking taylor expansion of y in y 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [taylor]: Taking taylor expansion of (- x y) in y 2.355 * [taylor]: Taking taylor expansion of x in y 2.355 * [backup-simplify]: Simplify x into x 2.355 * [taylor]: Taking taylor expansion of y in y 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (+ x 0) into x 2.356 * [backup-simplify]: Simplify (- 0) into 0 2.356 * [backup-simplify]: Simplify (+ x 0) into x 2.356 * [backup-simplify]: Simplify (/ x x) into 1 2.356 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 2.356 * [taylor]: Taking taylor expansion of (+ x y) in x 2.356 * [taylor]: Taking taylor expansion of x in x 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [taylor]: Taking taylor expansion of y in x 2.356 * [backup-simplify]: Simplify y into y 2.356 * [taylor]: Taking taylor expansion of (- x y) in x 2.356 * [taylor]: Taking taylor expansion of x in x 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [taylor]: Taking taylor expansion of y in x 2.356 * [backup-simplify]: Simplify y into y 2.356 * [backup-simplify]: Simplify (+ 0 y) into y 2.356 * [backup-simplify]: Simplify (- y) into (- y) 2.356 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.356 * [backup-simplify]: Simplify (/ y (- y)) into -1 2.356 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 2.356 * [taylor]: Taking taylor expansion of (+ x y) in x 2.356 * [taylor]: Taking taylor expansion of x in x 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [taylor]: Taking taylor expansion of y in x 2.356 * [backup-simplify]: Simplify y into y 2.356 * [taylor]: Taking taylor expansion of (- x y) in x 2.356 * [taylor]: Taking taylor expansion of x in x 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [taylor]: Taking taylor expansion of y in x 2.356 * [backup-simplify]: Simplify y into y 2.356 * [backup-simplify]: Simplify (+ 0 y) into y 2.357 * [backup-simplify]: Simplify (- y) into (- y) 2.357 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.357 * [backup-simplify]: Simplify (/ y (- y)) into -1 2.357 * [taylor]: Taking taylor expansion of -1 in y 2.357 * [backup-simplify]: Simplify -1 into -1 2.357 * [backup-simplify]: Simplify -1 into -1 2.357 * [backup-simplify]: Simplify (+ 1 0) into 1 2.358 * [backup-simplify]: Simplify (- 0) into 0 2.358 * [backup-simplify]: Simplify (+ 1 0) into 1 2.358 * [backup-simplify]: Simplify (- (/ 1 (- y)) (+ (* -1 (/ 1 (- y))))) into (- (* 2 (/ 1 y))) 2.358 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 2.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.359 * [taylor]: Taking taylor expansion of 2 in y 2.359 * [backup-simplify]: Simplify 2 into 2 2.359 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.359 * [taylor]: Taking taylor expansion of y in y 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [backup-simplify]: Simplify (/ 1 1) into 1 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.361 * [backup-simplify]: Simplify (- 0) into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify (+ 0 0) into 0 2.362 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [backup-simplify]: Simplify (+ 0 0) into 0 2.362 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* -1 (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 2)))) 2.362 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.363 * [taylor]: Taking taylor expansion of 2 in y 2.363 * [backup-simplify]: Simplify 2 into 2 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.363 * [taylor]: Taking taylor expansion of y in y 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [backup-simplify]: Simplify (* 1 1) into 1 2.363 * [backup-simplify]: Simplify (/ 1 1) into 1 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.371 * [backup-simplify]: Simplify (- 0) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* -1 (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 0 (- y))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 3)))) 2.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 2.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 2.376 * [taylor]: Taking taylor expansion of 2 in y 2.376 * [backup-simplify]: Simplify 2 into 2 2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.376 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.376 * [taylor]: Taking taylor expansion of y in y 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (* 1 1) into 1 2.377 * [backup-simplify]: Simplify (* 1 1) into 1 2.377 * [backup-simplify]: Simplify (/ 1 1) into 1 2.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (- 0) into 0 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify -1 into -1 2.386 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) into (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) 2.386 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 2.386 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 2.386 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.386 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.386 * [taylor]: Taking taylor expansion of x in y 2.386 * [backup-simplify]: Simplify x into x 2.386 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.387 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.387 * [taylor]: Taking taylor expansion of y in y 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 1 into 1 2.387 * [backup-simplify]: Simplify (/ 1 1) into 1 2.387 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.387 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.387 * [taylor]: Taking taylor expansion of x in y 2.387 * [backup-simplify]: Simplify x into x 2.387 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.387 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.387 * [taylor]: Taking taylor expansion of y in y 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 1 into 1 2.388 * [backup-simplify]: Simplify (/ 1 1) into 1 2.388 * [backup-simplify]: Simplify (+ 0 1) into 1 2.388 * [backup-simplify]: Simplify (- 1) into -1 2.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.389 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.389 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.389 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.389 * [taylor]: Taking taylor expansion of x in x 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (/ 1 1) into 1 2.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.390 * [taylor]: Taking taylor expansion of y in x 2.390 * [backup-simplify]: Simplify y into y 2.390 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.390 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.391 * [backup-simplify]: Simplify (/ 1 1) into 1 2.391 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.391 * [taylor]: Taking taylor expansion of y in x 2.391 * [backup-simplify]: Simplify y into y 2.391 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.391 * [backup-simplify]: Simplify (+ 1 0) into 1 2.392 * [backup-simplify]: Simplify (+ 1 0) into 1 2.392 * [backup-simplify]: Simplify (/ 1 1) into 1 2.392 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.392 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.392 * [taylor]: Taking taylor expansion of x in x 2.392 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify (/ 1 1) into 1 2.393 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.393 * [taylor]: Taking taylor expansion of y in x 2.393 * [backup-simplify]: Simplify y into y 2.393 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.393 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.393 * [taylor]: Taking taylor expansion of x in x 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify 1 into 1 2.393 * [backup-simplify]: Simplify (/ 1 1) into 1 2.394 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.394 * [taylor]: Taking taylor expansion of y in x 2.394 * [backup-simplify]: Simplify y into y 2.394 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.394 * [backup-simplify]: Simplify (+ 1 0) into 1 2.394 * [backup-simplify]: Simplify (+ 1 0) into 1 2.395 * [backup-simplify]: Simplify (/ 1 1) into 1 2.395 * [taylor]: Taking taylor expansion of 1 in y 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.396 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.397 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.397 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.397 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 y)) 2.397 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.397 * [taylor]: Taking taylor expansion of 2 in y 2.397 * [backup-simplify]: Simplify 2 into 2 2.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.397 * [taylor]: Taking taylor expansion of y in y 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify (/ 1 1) into 1 2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.400 * [backup-simplify]: Simplify (+ 0 0) into 0 2.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.401 * [backup-simplify]: Simplify (- 0) into 0 2.402 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 2))) 2.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.402 * [taylor]: Taking taylor expansion of 2 in y 2.403 * [backup-simplify]: Simplify 2 into 2 2.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.403 * [taylor]: Taking taylor expansion of y in y 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (* 1 1) into 1 2.403 * [backup-simplify]: Simplify (/ 1 1) into 1 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.405 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.408 * [backup-simplify]: Simplify (+ 0 0) into 0 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.409 * [backup-simplify]: Simplify (- 0) into 0 2.409 * [backup-simplify]: Simplify (+ 0 0) into 0 2.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* (* 2 (/ 1 (pow y 2))) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 3))) 2.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 2.410 * [taylor]: Taking taylor expansion of 2 in y 2.410 * [backup-simplify]: Simplify 2 into 2 2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.410 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.410 * [taylor]: Taking taylor expansion of y in y 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify (* 1 1) into 1 2.411 * [backup-simplify]: Simplify (* 1 1) into 1 2.411 * [backup-simplify]: Simplify (/ 1 1) into 1 2.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.416 * [backup-simplify]: Simplify 0 into 0 2.416 * [backup-simplify]: Simplify 1 into 1 2.416 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) 2.416 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 2.416 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in y 2.416 * [taylor]: Taking taylor expansion of -1 in y 2.416 * [backup-simplify]: Simplify -1 into -1 2.417 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in y 2.417 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.417 * [taylor]: Taking taylor expansion of x in y 2.417 * [backup-simplify]: Simplify x into x 2.417 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.417 * [taylor]: Taking taylor expansion of y in y 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.417 * [backup-simplify]: Simplify (/ 1 1) into 1 2.417 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.417 * [taylor]: Taking taylor expansion of y in y 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.417 * [backup-simplify]: Simplify (/ 1 1) into 1 2.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.417 * [taylor]: Taking taylor expansion of x in y 2.417 * [backup-simplify]: Simplify x into x 2.417 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.418 * [backup-simplify]: Simplify (+ 0 1) into 1 2.418 * [backup-simplify]: Simplify (+ 1 0) into 1 2.418 * [backup-simplify]: Simplify (/ 1 1) into 1 2.418 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in x 2.418 * [taylor]: Taking taylor expansion of -1 in x 2.418 * [backup-simplify]: Simplify -1 into -1 2.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 2.418 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.418 * [taylor]: Taking taylor expansion of x in x 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify 1 into 1 2.419 * [backup-simplify]: Simplify (/ 1 1) into 1 2.419 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.419 * [taylor]: Taking taylor expansion of y in x 2.419 * [backup-simplify]: Simplify y into y 2.419 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.419 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.419 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.419 * [taylor]: Taking taylor expansion of y in x 2.419 * [backup-simplify]: Simplify y into y 2.419 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 1 into 1 2.419 * [backup-simplify]: Simplify (/ 1 1) into 1 2.419 * [backup-simplify]: Simplify (+ 1 0) into 1 2.420 * [backup-simplify]: Simplify (- 1) into -1 2.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.420 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.420 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in x 2.420 * [taylor]: Taking taylor expansion of -1 in x 2.420 * [backup-simplify]: Simplify -1 into -1 2.420 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 2.420 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (/ 1 1) into 1 2.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.421 * [taylor]: Taking taylor expansion of y in x 2.421 * [backup-simplify]: Simplify y into y 2.421 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.421 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.421 * [taylor]: Taking taylor expansion of y in x 2.421 * [backup-simplify]: Simplify y into y 2.421 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.421 * [taylor]: Taking taylor expansion of x in x 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (/ 1 1) into 1 2.421 * [backup-simplify]: Simplify (+ 1 0) into 1 2.422 * [backup-simplify]: Simplify (- 1) into -1 2.422 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.422 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.422 * [backup-simplify]: Simplify (* -1 -1) into 1 2.422 * [taylor]: Taking taylor expansion of 1 in y 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (- 0) into 0 2.424 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.424 * [backup-simplify]: Simplify (- (/ (/ 1 y) -1) (+ (* -1 (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 y))) 2.424 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 y)))) (* 0 -1)) into (* 2 (/ 1 y)) 2.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.424 * [taylor]: Taking taylor expansion of 2 in y 2.424 * [backup-simplify]: Simplify 2 into 2 2.424 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.424 * [taylor]: Taking taylor expansion of y in y 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (/ 1 1) into 1 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.426 * [backup-simplify]: Simplify (+ 0 0) into 0 2.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.427 * [backup-simplify]: Simplify (- 0) into 0 2.427 * [backup-simplify]: Simplify (+ 0 0) into 0 2.428 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 2)))) 2.429 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 (- (* 2 (/ 1 y)))) (* 0 -1))) into (* 2 (/ 1 (pow y 2))) 2.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.429 * [taylor]: Taking taylor expansion of 2 in y 2.429 * [backup-simplify]: Simplify 2 into 2 2.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.429 * [taylor]: Taking taylor expansion of y in y 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (* 1 1) into 1 2.429 * [backup-simplify]: Simplify (/ 1 1) into 1 2.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.434 * [backup-simplify]: Simplify (+ 0 0) into 0 2.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.435 * [backup-simplify]: Simplify (- 0) into 0 2.435 * [backup-simplify]: Simplify (+ 0 0) into 0 2.436 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 3)))) 2.437 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 3))))) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 (- (* 2 (/ 1 y)))) (* 0 -1)))) into (* 2 (/ 1 (pow y 3))) 2.437 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 2.437 * [taylor]: Taking taylor expansion of 2 in y 2.437 * [backup-simplify]: Simplify 2 into 2 2.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.437 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.437 * [taylor]: Taking taylor expansion of y in y 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (* 1 1) into 1 2.437 * [backup-simplify]: Simplify (* 1 1) into 1 2.438 * [backup-simplify]: Simplify (/ 1 1) into 1 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * * * [progress]: simplifying candidates 2.446 * [simplify]: Simplifying: (expm1 (/ (- x y) (+ x y))) (log1p (/ (- x y) (+ x y))) (- (log 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(+ x y)) (cbrt (+ x y))))) (/ 1 (/ (- x y) (cbrt (+ x y)))) (/ 1 (/ 1 (sqrt (+ x y)))) (/ 1 (/ (- x y) (sqrt (+ x y)))) (/ 1 (/ 1 1)) (/ 1 (/ (- x y) (+ x y))) (/ 1 (/ 1 1)) (/ 1 (/ (- x y) (+ x y))) (/ 1 1) (/ 1 (/ (- x y) (+ x y))) (/ 1 (- x y)) (/ 1 (/ 1 (+ x y))) (/ 1 (/ (- x y) (+ (pow x 3) (pow y 3)))) (/ 1 (+ (* x x) (- (* y y) (* x y)))) (/ 1 (/ (- x y) (- (* x x) (* y y)))) (/ 1 (- x y)) (/ 1 (/ (- x y) (+ x y))) (/ (/ (- x y) (+ x y)) 1) (/ 1 (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))) (/ 1 (sqrt (/ (- x y) (+ x y)))) (/ 1 (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (+ x y)))) (/ 1 (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ 1 (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ 1 (/ (sqrt (- x y)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ (sqrt (- x y)) (sqrt (+ x y)))) (/ 1 (/ (sqrt (- x y)) 1)) (/ 1 (/ (sqrt (- x y)) 1)) (/ 1 (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ 1 (sqrt (+ x y)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 (/ (+ (sqrt x) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ (+ (sqrt x) (sqrt y)) (sqrt (+ x y)))) (/ 1 (/ (+ (sqrt x) (sqrt y)) 1)) (/ 1 (/ (+ (sqrt x) (sqrt y)) 1)) (/ 1 (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ 1 (/ 1 (sqrt (+ x y)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- x y)) (/ 1 (/ (- x y) (+ (pow x 3) (pow y 3)))) (/ 1 (/ (- x y) (- (* x x) (* y y)))) (/ (/ (- x y) (+ x y)) (cbrt 1)) (/ (/ (- x y) (+ x y)) (sqrt 1)) (/ (/ (- x y) (+ x y)) 1) (/ 1 (- x y)) -1 1 1 -1 1 1 2.449 * * [simplify]: iteration 0: 209 enodes 2.532 * * [simplify]: iteration 1: 548 enodes 2.775 * * [simplify]: iteration 2: 1931 enodes 3.844 * * [simplify]: iteration complete: 5015 enodes 3.844 * * [simplify]: Extracting #0: cost 83 inf + 0 3.847 * * [simplify]: Extracting #1: cost 909 inf + 2 3.854 * * [simplify]: Extracting #2: cost 1453 inf + 2433 3.881 * * [simplify]: Extracting #3: cost 1009 inf + 104063 3.932 * * [simplify]: Extracting #4: cost 149 inf + 247550 3.994 * * [simplify]: Extracting #5: cost 20 inf + 274664 4.075 * * [simplify]: Extracting #6: cost 3 inf + 277024 4.144 * * [simplify]: Extracting #7: cost 0 inf + 277782 4.212 * [simplify]: Simplified to: (expm1 (/ (- x y) (+ y x))) (log1p (/ (- x y) (+ y x))) (log (/ (- x y) (+ y x))) (log (/ (- x y) (+ y x))) (exp (/ (- x y) (+ y x))) (* (* (/ (- x y) (+ y x)) (/ (- x y) (+ y x))) (/ (- x y) (+ y x))) (* (cbrt (/ (- x y) (+ y x))) (cbrt (/ (- x y) (+ y x)))) (cbrt (/ (- x y) (+ y x))) (* (* (/ (- x y) (+ y x)) (/ (- x y) (+ y x))) (/ (- x y) (+ y x))) (sqrt (/ (- x y) (+ y x))) (sqrt (/ (- x y) (+ y x))) (- (- x y)) (- (+ y x)) (/ x (+ y x)) (/ y (+ y x)) (* (/ (cbrt (- x y)) (cbrt (+ y x))) (/ (cbrt (- x y)) (cbrt (+ y x)))) (/ (cbrt (- x y)) (cbrt (+ y x))) (* (cbrt (- x y)) (/ (cbrt (- x y)) (sqrt (+ y x)))) (/ (cbrt (- x y)) (sqrt (+ y x))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (+ y x)) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (+ y x)) (/ (/ (sqrt (- x y)) (cbrt (+ y x))) (cbrt (+ y x))) (/ (sqrt (- x y)) (cbrt (+ y x))) (/ (sqrt (- x y)) (sqrt (+ y x))) (/ (sqrt (- x y)) (sqrt (+ y x))) (sqrt (- x y)) (/ (sqrt (- x y)) (+ y x)) (sqrt (- x y)) (/ (sqrt (- x y)) (+ y x)) (* (/ 1 (cbrt (+ y x))) (/ 1 (cbrt (+ y x)))) (/ (- x y) (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ (- x y) (sqrt (+ y x))) 1 (/ (- x y) (+ y x)) 1 (/ (- x y) (+ y x)) (/ (/ (+ (sqrt y) (sqrt x)) (cbrt (+ y x))) (cbrt (+ y x))) (/ (- (sqrt x) (sqrt y)) (cbrt (+ y x))) (/ (+ (sqrt y) (sqrt x)) (sqrt (+ y x))) (/ (- (sqrt x) (sqrt y)) (sqrt (+ y x))) (+ (sqrt y) (sqrt x)) (/ (- (sqrt x) (sqrt y)) (+ y x)) (+ (sqrt y) (sqrt x)) (/ (- (sqrt x) (sqrt y)) (+ y x)) (* (/ 1 (cbrt (+ y x))) (/ 1 (cbrt (+ y x)))) (/ (- x y) (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ (- x y) (sqrt (+ y x))) 1 (/ (- x y) (+ y x)) 1 (/ (- x y) (+ y x)) (/ 1 (+ y x)) (/ (+ y x) (- x y)) (/ (- x y) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (- x y) (sqrt (+ y x))) (- x y) (- x y) (/ (+ y x) (cbrt (- x y))) (/ (+ y x) (sqrt (- x y))) (/ (+ y x) (- x y)) (/ (+ y x) (- (sqrt x) (sqrt y))) (/ (+ y x) (- x y)) (/ (- x y) (fma (* y y) y (* (* x x) x))) (/ (- x y) (- (* x x) (* y y))) (* (+ y x) (fma y (+ y x) (* x x))) (* (+ y x) (+ y x)) (expm1 (/ (+ y x) (- x y))) (log1p (/ (+ y x) (- x y))) -1 (log (/ (+ y x) (- x y))) (log (/ (+ y x) (- x y))) (log (/ (+ y x) (- x y))) (log (/ (+ y x) (- x y))) (log (/ (+ y x) (- x y))) (log (/ (+ y x) (- x y))) (log (/ (+ y x) (- x y))) (exp (/ (+ y x) (- x y))) (* (/ (+ y x) (- x y)) (* (/ (+ y x) (- x y)) (/ (+ y x) (- x y)))) (* (/ (+ y x) (- x y)) (* (/ (+ y x) (- x y)) (/ (+ y x) (- x y)))) (* (cbrt (/ (+ y x) (- x y))) (cbrt (/ (+ y x) (- x y)))) (cbrt (/ (+ y x) (- x y))) (* (/ (+ y x) (- x y)) (* (/ (+ y x) (- x y)) (/ (+ y x) (- x y)))) (sqrt (/ (+ y x) (- x y))) (sqrt (/ (+ y x) (- x y))) -1 (/ (- (- x y)) (+ y x)) (* (/ 1 (cbrt (/ (- x y) (+ y x)))) (/ 1 (cbrt (/ (- x y) (+ y x))))) (/ 1 (cbrt (/ (- x y) (+ y x)))) (/ 1 (sqrt (/ (- x y) (+ y x)))) (/ 1 (sqrt (/ (- x y) (+ y x)))) (* (/ (cbrt (+ y x)) (cbrt (- x y))) (/ (cbrt (+ y x)) (cbrt (- x y)))) (/ (cbrt (+ y x)) (cbrt (- x y))) (/ (sqrt (+ y x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ y x)) (cbrt (- x y))) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (/ (+ y x) (cbrt (- x y))) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (/ (+ y x) (cbrt (- x y))) (* (/ (cbrt (+ y x)) (sqrt (- x y))) (cbrt (+ y x))) (/ (cbrt (+ y x)) (sqrt (- x y))) (/ (sqrt (+ y x)) (sqrt (- x y))) (/ (sqrt (+ y x)) (sqrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ y x) (sqrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ y x) (sqrt (- x y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (- x y)) (sqrt (+ y x)) (/ (sqrt (+ y x)) (- x y)) 1 (/ (+ y x) (- x y)) 1 (/ (+ y x) (- x y)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (+ (sqrt y) (sqrt x))) (/ (cbrt (+ y x)) (- (sqrt x) (sqrt y))) (/ (sqrt (+ y x)) (+ (sqrt y) (sqrt x))) (/ (sqrt (+ y x)) (- (sqrt x) (sqrt y))) (/ 1 (+ (sqrt y) (sqrt x))) (/ (+ y x) (- (sqrt x) (sqrt y))) (/ 1 (+ (sqrt y) (sqrt x))) (/ (+ y x) (- (sqrt x) (sqrt y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (- x y)) (sqrt (+ y x)) (/ (sqrt (+ y x)) (- x y)) 1 (/ (+ y x) (- x y)) 1 (/ (+ y x) (- x y)) 1 (/ (+ y x) (- x y)) (/ 1 (- x y)) (+ y x) (/ (fma (* y y) y (* (* x x) x)) (- x y)) (/ 1 (fma y (- y x) (* x x))) (/ (- (* x x) (* y y)) (- x y)) (/ 1 (- x y)) (* (/ 1 (cbrt (/ (- x y) (+ y x)))) (/ 1 (cbrt (/ (- x y) (+ y x))))) (/ 1 (cbrt (/ (- x y) (+ y x)))) (/ 1 (sqrt (/ (- x y) (+ y x)))) (/ 1 (sqrt (/ (- x y) (+ y x)))) (* (/ (cbrt (+ y x)) (cbrt (- x y))) (/ (cbrt (+ y x)) (cbrt (- x y)))) (/ (cbrt (+ y x)) (cbrt (- x y))) (/ (sqrt (+ y x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ y x)) (cbrt (- x y))) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (/ (+ y x) (cbrt (- x y))) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (/ (+ y x) (cbrt (- x y))) (* (/ (cbrt (+ y x)) (sqrt (- x y))) (cbrt (+ y x))) (/ (cbrt (+ y x)) (sqrt (- x y))) (/ (sqrt (+ y x)) (sqrt (- x y))) (/ (sqrt (+ y x)) (sqrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ y x) (sqrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ y x) (sqrt (- x y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (- x y)) (sqrt (+ y x)) (/ (sqrt (+ y x)) (- x y)) 1 (/ (+ y x) (- x y)) 1 (/ (+ y x) (- x y)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (+ (sqrt y) (sqrt x))) (/ (cbrt (+ y x)) (- (sqrt x) (sqrt y))) (/ (sqrt (+ y x)) (+ (sqrt y) (sqrt x))) (/ (sqrt (+ y x)) (- (sqrt x) (sqrt y))) (/ 1 (+ (sqrt y) (sqrt x))) (/ (+ y x) (- (sqrt x) (sqrt y))) (/ 1 (+ (sqrt y) (sqrt x))) (/ (+ y x) (- (sqrt x) (sqrt y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (- x y)) (sqrt (+ y x)) (/ (sqrt (+ y x)) (- x y)) 1 (/ (+ y x) (- x y)) 1 (/ (+ y x) (- x y)) 1 (/ (+ y x) (- x y)) (/ 1 (- x y)) (+ y x) (/ (fma (* y y) y (* (* x x) x)) (- x y)) (/ 1 (fma y (- y x) (* x x))) (/ (- (* x x) (* y y)) (- x y)) (/ 1 (- x y)) (* (/ 1 (cbrt (/ (- x y) (+ y x)))) (/ 1 (cbrt (/ (- x y) (+ y x))))) (/ 1 (cbrt (/ (- x y) (+ y x)))) (/ 1 (sqrt (/ (- x y) (+ y x)))) (/ 1 (sqrt (/ (- x y) (+ y x)))) (* (/ (cbrt (+ y x)) (cbrt (- x y))) (/ (cbrt (+ y x)) (cbrt (- x y)))) (/ (cbrt (+ y x)) (cbrt (- x y))) (/ (sqrt (+ y x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ y x)) (cbrt (- x y))) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (/ (+ y x) (cbrt (- x y))) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (/ (+ y x) (cbrt (- x y))) (* (/ (cbrt (+ y x)) (sqrt (- x y))) (cbrt (+ y x))) (/ (cbrt (+ y x)) (sqrt (- x y))) (/ (sqrt (+ y x)) (sqrt (- x y))) (/ (sqrt (+ y x)) (sqrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ y x) (sqrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ y x) (sqrt (- x y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (- x y)) (sqrt (+ y x)) (/ (sqrt (+ y x)) (- x y)) 1 (/ (+ y x) (- x y)) 1 (/ (+ y x) (- x y)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (+ (sqrt y) (sqrt x))) (/ (cbrt (+ y x)) (- (sqrt x) (sqrt y))) (/ (sqrt (+ y x)) (+ (sqrt y) (sqrt x))) (/ (sqrt (+ y x)) (- (sqrt x) (sqrt y))) (/ 1 (+ (sqrt y) (sqrt x))) (/ (+ y x) (- (sqrt x) (sqrt y))) (/ 1 (+ (sqrt y) (sqrt x))) (/ (+ y x) (- (sqrt x) (sqrt y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (- x y)) (sqrt (+ y x)) (/ (sqrt (+ y x)) (- x y)) 1 (/ (+ y x) (- x y)) 1 (/ (+ y x) (- x y)) 1 (/ (+ y x) (- x y)) (/ 1 (- x y)) (+ y x) (/ (fma (* y y) y (* (* x x) x)) (- x y)) (/ 1 (fma y (- y x) (* x x))) (/ (- (* x x) (* y y)) (- x y)) (/ 1 (- x y)) (/ (+ y x) (- x y)) (/ (- x y) (+ y x)) (* (/ 1 (cbrt (/ (- x y) (+ y x)))) (/ 1 (cbrt (/ (- x y) (+ y x))))) (/ 1 (sqrt (/ (- x y) (+ y x)))) (* (/ (cbrt (+ y x)) (cbrt (- x y))) (/ (cbrt (+ y x)) (cbrt (- x y)))) (/ (sqrt (+ y x)) (* (cbrt (- x y)) (cbrt (- x y)))) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (* (/ (cbrt (+ y x)) (sqrt (- x y))) (cbrt (+ y x))) (/ (sqrt (+ y x)) (sqrt (- x y))) (/ 1 (sqrt (- x y))) (/ 1 (sqrt (- x y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt (+ y x)) 1 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (+ (sqrt y) (sqrt x))) (/ (sqrt (+ y x)) (+ (sqrt y) (sqrt x))) (/ 1 (+ (sqrt y) (sqrt x))) (/ 1 (+ (sqrt y) (sqrt x))) (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt (+ y x)) 1 1 1 (/ 1 (- x y)) (/ (fma (* y y) y (* (* x x) x)) (- x y)) (/ (- (* x x) (* y y)) (- x y)) (/ (- x y) (+ y x)) (/ (- x y) (+ y x)) (/ (- x y) (+ y x)) (/ 1 (- x y)) -1 1 1 -1 1 1 4.223 * * * [progress]: adding candidates to table 4.699 * * [progress]: iteration 3 / 4 4.699 * * * [progress]: picking best candidate 4.711 * * * * [pick]: Picked # 4.711 * * * [progress]: localizing error 4.731 * * * [progress]: generating rewritten candidates 4.732 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 4.768 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 4.788 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 4.841 * * * [progress]: generating series expansions 4.841 * * * * [progress]: [ 1 / 3 ] generating series at (2) 4.841 * [backup-simplify]: Simplify (/ (/ 1 (- x y)) (/ 1 (+ x y))) into (/ (+ x y) (- x y)) 4.841 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 4.841 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 4.841 * [taylor]: Taking taylor expansion of (+ x y) in y 4.841 * [taylor]: Taking taylor expansion of x in y 4.841 * [backup-simplify]: Simplify x into x 4.841 * [taylor]: Taking taylor expansion of y in y 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 1 into 1 4.841 * [taylor]: Taking taylor expansion of (- x y) in y 4.841 * [taylor]: Taking taylor expansion of x in y 4.841 * [backup-simplify]: Simplify x into x 4.841 * [taylor]: Taking taylor expansion of y in y 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 1 into 1 4.841 * [backup-simplify]: Simplify (+ x 0) into x 4.842 * [backup-simplify]: Simplify (- 0) into 0 4.842 * [backup-simplify]: Simplify (+ x 0) into x 4.842 * [backup-simplify]: Simplify (/ x x) into 1 4.842 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 4.842 * [taylor]: Taking taylor expansion of (+ x y) in x 4.842 * [taylor]: Taking taylor expansion of x in x 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 1 into 1 4.842 * [taylor]: Taking taylor expansion of y in x 4.842 * [backup-simplify]: Simplify y into y 4.842 * [taylor]: Taking taylor expansion of (- x y) in x 4.842 * [taylor]: Taking taylor expansion of x in x 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 1 into 1 4.842 * [taylor]: Taking taylor expansion of y in x 4.842 * [backup-simplify]: Simplify y into y 4.842 * [backup-simplify]: Simplify (+ 0 y) into y 4.842 * [backup-simplify]: Simplify (- y) into (- y) 4.842 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.842 * [backup-simplify]: Simplify (/ y (- y)) into -1 4.842 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 4.842 * [taylor]: Taking taylor expansion of (+ x y) in x 4.842 * [taylor]: Taking taylor expansion of x in x 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 1 into 1 4.842 * [taylor]: Taking taylor expansion of y in x 4.843 * [backup-simplify]: Simplify y into y 4.843 * [taylor]: Taking taylor expansion of (- x y) in x 4.843 * [taylor]: Taking taylor expansion of x in x 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.843 * [taylor]: Taking taylor expansion of y in x 4.843 * [backup-simplify]: Simplify y into y 4.843 * [backup-simplify]: Simplify (+ 0 y) into y 4.843 * [backup-simplify]: Simplify (- y) into (- y) 4.843 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.843 * [backup-simplify]: Simplify (/ y (- y)) into -1 4.843 * [taylor]: Taking taylor expansion of -1 in y 4.843 * [backup-simplify]: Simplify -1 into -1 4.843 * [backup-simplify]: Simplify -1 into -1 4.843 * [backup-simplify]: Simplify (+ 1 0) into 1 4.843 * [backup-simplify]: Simplify (- 0) into 0 4.844 * [backup-simplify]: Simplify (+ 1 0) into 1 4.844 * [backup-simplify]: Simplify (- (/ 1 (- y)) (+ (* -1 (/ 1 (- y))))) into (- (* 2 (/ 1 y))) 4.844 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 4.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.844 * [taylor]: Taking taylor expansion of 2 in y 4.844 * [backup-simplify]: Simplify 2 into 2 4.844 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.844 * [taylor]: Taking taylor expansion of y in y 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify 1 into 1 4.844 * [backup-simplify]: Simplify (/ 1 1) into 1 4.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.845 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.845 * [backup-simplify]: Simplify (- 0) into 0 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify (+ 0 0) into 0 4.846 * [backup-simplify]: Simplify (- 0) into 0 4.846 * [backup-simplify]: Simplify (+ 0 0) into 0 4.847 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* -1 (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 2)))) 4.847 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.847 * [taylor]: Taking taylor expansion of 2 in y 4.847 * [backup-simplify]: Simplify 2 into 2 4.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.847 * [taylor]: Taking taylor expansion of y in y 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [backup-simplify]: Simplify (* 1 1) into 1 4.848 * [backup-simplify]: Simplify (/ 1 1) into 1 4.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.852 * [backup-simplify]: Simplify (- 0) into 0 4.852 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.855 * [backup-simplify]: Simplify (- 0) into 0 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify (+ 0 0) into 0 4.856 * [backup-simplify]: Simplify (- 0) into 0 4.856 * [backup-simplify]: Simplify (+ 0 0) into 0 4.857 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* -1 (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 0 (- y))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 3)))) 4.857 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 4.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 4.857 * [taylor]: Taking taylor expansion of 2 in y 4.857 * [backup-simplify]: Simplify 2 into 2 4.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.857 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.857 * [taylor]: Taking taylor expansion of y in y 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify (* 1 1) into 1 4.858 * [backup-simplify]: Simplify (* 1 1) into 1 4.858 * [backup-simplify]: Simplify (/ 1 1) into 1 4.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.866 * [backup-simplify]: Simplify (- 0) into 0 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify -1 into -1 4.867 * [backup-simplify]: Simplify (/ (/ 1 (- (/ 1 x) (/ 1 y))) (/ 1 (+ (/ 1 x) (/ 1 y)))) into (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) 4.867 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 4.867 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 4.867 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.867 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.867 * [taylor]: Taking taylor expansion of x in y 4.867 * [backup-simplify]: Simplify x into x 4.867 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.867 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.867 * [taylor]: Taking taylor expansion of y in y 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (/ 1 1) into 1 4.868 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.868 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.868 * [taylor]: Taking taylor expansion of x in y 4.868 * [backup-simplify]: Simplify x into x 4.868 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.868 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.868 * [taylor]: Taking taylor expansion of y in y 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (/ 1 1) into 1 4.869 * [backup-simplify]: Simplify (+ 0 1) into 1 4.869 * [backup-simplify]: Simplify (- 1) into -1 4.869 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.870 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.870 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 4.870 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.870 * [taylor]: Taking taylor expansion of x in x 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (/ 1 1) into 1 4.870 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.870 * [taylor]: Taking taylor expansion of y in x 4.870 * [backup-simplify]: Simplify y into y 4.870 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.871 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.871 * [taylor]: Taking taylor expansion of x in x 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [backup-simplify]: Simplify (/ 1 1) into 1 4.871 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.871 * [taylor]: Taking taylor expansion of y in x 4.871 * [backup-simplify]: Simplify y into y 4.871 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.872 * [backup-simplify]: Simplify (+ 1 0) into 1 4.872 * [backup-simplify]: Simplify (+ 1 0) into 1 4.872 * [backup-simplify]: Simplify (/ 1 1) into 1 4.872 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 4.872 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.872 * [taylor]: Taking taylor expansion of x in x 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 1 into 1 4.873 * [backup-simplify]: Simplify (/ 1 1) into 1 4.873 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.873 * [taylor]: Taking taylor expansion of y in x 4.873 * [backup-simplify]: Simplify y into y 4.873 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.873 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.873 * [taylor]: Taking taylor expansion of x in x 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify 1 into 1 4.873 * [backup-simplify]: Simplify (/ 1 1) into 1 4.873 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.874 * [taylor]: Taking taylor expansion of y in x 4.874 * [backup-simplify]: Simplify y into y 4.874 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.874 * [backup-simplify]: Simplify (+ 1 0) into 1 4.874 * [backup-simplify]: Simplify (+ 1 0) into 1 4.875 * [backup-simplify]: Simplify (/ 1 1) into 1 4.875 * [taylor]: Taking taylor expansion of 1 in y 4.875 * [backup-simplify]: Simplify 1 into 1 4.875 * [backup-simplify]: Simplify 1 into 1 4.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.876 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.876 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.877 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.877 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 y)) 4.877 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.877 * [taylor]: Taking taylor expansion of 2 in y 4.877 * [backup-simplify]: Simplify 2 into 2 4.877 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.877 * [taylor]: Taking taylor expansion of y in y 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 1 into 1 4.885 * [backup-simplify]: Simplify (/ 1 1) into 1 4.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.886 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.887 * [backup-simplify]: Simplify (+ 0 0) into 0 4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.889 * [backup-simplify]: Simplify (- 0) into 0 4.889 * [backup-simplify]: Simplify (+ 0 0) into 0 4.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 2))) 4.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.890 * [taylor]: Taking taylor expansion of 2 in y 4.890 * [backup-simplify]: Simplify 2 into 2 4.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.890 * [taylor]: Taking taylor expansion of y in y 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (* 1 1) into 1 4.891 * [backup-simplify]: Simplify (/ 1 1) into 1 4.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.898 * [backup-simplify]: Simplify (+ 0 0) into 0 4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.899 * [backup-simplify]: Simplify (- 0) into 0 4.899 * [backup-simplify]: Simplify (+ 0 0) into 0 4.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* (* 2 (/ 1 (pow y 2))) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 3))) 4.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 4.901 * [taylor]: Taking taylor expansion of 2 in y 4.901 * [backup-simplify]: Simplify 2 into 2 4.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.901 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.901 * [taylor]: Taking taylor expansion of y in y 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (* 1 1) into 1 4.902 * [backup-simplify]: Simplify (* 1 1) into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 1 into 1 4.909 * [backup-simplify]: Simplify (/ (/ 1 (- (/ 1 (- x)) (/ 1 (- y)))) (/ 1 (+ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) 4.909 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 4.909 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in y 4.909 * [taylor]: Taking taylor expansion of -1 in y 4.909 * [backup-simplify]: Simplify -1 into -1 4.909 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in y 4.909 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.909 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.909 * [taylor]: Taking taylor expansion of x in y 4.909 * [backup-simplify]: Simplify x into x 4.909 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.909 * [taylor]: Taking taylor expansion of y in y 4.909 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify 1 into 1 4.909 * [backup-simplify]: Simplify (/ 1 1) into 1 4.909 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.909 * [taylor]: Taking taylor expansion of y in y 4.909 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify 1 into 1 4.909 * [backup-simplify]: Simplify (/ 1 1) into 1 4.909 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.909 * [taylor]: Taking taylor expansion of x in y 4.910 * [backup-simplify]: Simplify x into x 4.910 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.910 * [backup-simplify]: Simplify (+ 0 1) into 1 4.910 * [backup-simplify]: Simplify (+ 1 0) into 1 4.910 * [backup-simplify]: Simplify (/ 1 1) into 1 4.910 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in x 4.910 * [taylor]: Taking taylor expansion of -1 in x 4.910 * [backup-simplify]: Simplify -1 into -1 4.910 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 4.910 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.910 * [taylor]: Taking taylor expansion of x in x 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (/ 1 1) into 1 4.911 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.911 * [taylor]: Taking taylor expansion of y in x 4.911 * [backup-simplify]: Simplify y into y 4.911 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.911 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.911 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.911 * [taylor]: Taking taylor expansion of y in x 4.911 * [backup-simplify]: Simplify y into y 4.911 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.911 * [taylor]: Taking taylor expansion of x in x 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (/ 1 1) into 1 4.911 * [backup-simplify]: Simplify (+ 1 0) into 1 4.912 * [backup-simplify]: Simplify (- 1) into -1 4.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.912 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.912 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in x 4.912 * [taylor]: Taking taylor expansion of -1 in x 4.912 * [backup-simplify]: Simplify -1 into -1 4.912 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 4.912 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.912 * [taylor]: Taking taylor expansion of x in x 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.913 * [backup-simplify]: Simplify (/ 1 1) into 1 4.913 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.913 * [taylor]: Taking taylor expansion of y in x 4.913 * [backup-simplify]: Simplify y into y 4.913 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.913 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.913 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.913 * [taylor]: Taking taylor expansion of y in x 4.913 * [backup-simplify]: Simplify y into y 4.913 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.913 * [taylor]: Taking taylor expansion of x in x 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [backup-simplify]: Simplify (/ 1 1) into 1 4.913 * [backup-simplify]: Simplify (+ 1 0) into 1 4.914 * [backup-simplify]: Simplify (- 1) into -1 4.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.914 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.914 * [backup-simplify]: Simplify (* -1 -1) into 1 4.914 * [taylor]: Taking taylor expansion of 1 in y 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify 1 into 1 4.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.915 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (- 0) into 0 4.916 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.916 * [backup-simplify]: Simplify (- (/ (/ 1 y) -1) (+ (* -1 (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 y))) 4.916 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 y)))) (* 0 -1)) into (* 2 (/ 1 y)) 4.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.916 * [taylor]: Taking taylor expansion of 2 in y 4.916 * [backup-simplify]: Simplify 2 into 2 4.916 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.916 * [taylor]: Taking taylor expansion of y in y 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (/ 1 1) into 1 4.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.918 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.919 * [backup-simplify]: Simplify (+ 0 0) into 0 4.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.920 * [backup-simplify]: Simplify (- 0) into 0 4.920 * [backup-simplify]: Simplify (+ 0 0) into 0 4.921 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 2)))) 4.921 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 (- (* 2 (/ 1 y)))) (* 0 -1))) into (* 2 (/ 1 (pow y 2))) 4.921 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.921 * [taylor]: Taking taylor expansion of 2 in y 4.921 * [backup-simplify]: Simplify 2 into 2 4.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.921 * [taylor]: Taking taylor expansion of y in y 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (* 1 1) into 1 4.922 * [backup-simplify]: Simplify (/ 1 1) into 1 4.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.926 * [backup-simplify]: Simplify (+ 0 0) into 0 4.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (- 0) into 0 4.928 * [backup-simplify]: Simplify (+ 0 0) into 0 4.929 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 3)))) 4.929 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 3))))) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 (- (* 2 (/ 1 y)))) (* 0 -1)))) into (* 2 (/ 1 (pow y 3))) 4.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 4.929 * [taylor]: Taking taylor expansion of 2 in y 4.929 * [backup-simplify]: Simplify 2 into 2 4.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.929 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.929 * [taylor]: Taking taylor expansion of y in y 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (* 1 1) into 1 4.930 * [backup-simplify]: Simplify (* 1 1) into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.935 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.936 * [backup-simplify]: Simplify (/ 1 (+ x y)) into (/ 1 (+ x y)) 4.936 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 4.936 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 4.936 * [taylor]: Taking taylor expansion of (+ x y) in y 4.936 * [taylor]: Taking taylor expansion of x in y 4.936 * [backup-simplify]: Simplify x into x 4.936 * [taylor]: Taking taylor expansion of y in y 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (+ x 0) into x 4.936 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.936 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 4.936 * [taylor]: Taking taylor expansion of (+ x y) in x 4.936 * [taylor]: Taking taylor expansion of x in x 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [taylor]: Taking taylor expansion of y in x 4.936 * [backup-simplify]: Simplify y into y 4.936 * [backup-simplify]: Simplify (+ 0 y) into y 4.936 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.936 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 4.936 * [taylor]: Taking taylor expansion of (+ x y) in x 4.936 * [taylor]: Taking taylor expansion of x in x 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [taylor]: Taking taylor expansion of y in x 4.936 * [backup-simplify]: Simplify y into y 4.936 * [backup-simplify]: Simplify (+ 0 y) into y 4.936 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.936 * [taylor]: Taking taylor expansion of y in y 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (/ 1 1) into 1 4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify (+ 1 0) into 1 4.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 4.937 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.937 * [taylor]: Taking taylor expansion of y in y 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (* 1 1) into 1 4.938 * [backup-simplify]: Simplify (/ 1 1) into 1 4.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (- 0) into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify (+ 0 0) into 0 4.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.942 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.942 * [taylor]: Taking taylor expansion of y in y 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify 1 into 1 4.942 * [backup-simplify]: Simplify (* 1 1) into 1 4.942 * [backup-simplify]: Simplify (* 1 1) into 1 4.943 * [backup-simplify]: Simplify (/ 1 1) into 1 4.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.947 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.949 * [backup-simplify]: Simplify (- 0) into 0 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 x) (/ 1 y))) into (/ 1 (+ (/ 1 x) (/ 1 y))) 4.949 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 x) (/ 1 y))) in (x y) around 0 4.949 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) (/ 1 y))) in y 4.949 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.949 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.949 * [taylor]: Taking taylor expansion of x in y 4.949 * [backup-simplify]: Simplify x into x 4.949 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.949 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.949 * [taylor]: Taking taylor expansion of y in y 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.950 * [backup-simplify]: Simplify (/ 1 1) into 1 4.950 * [backup-simplify]: Simplify (+ 0 1) into 1 4.950 * [backup-simplify]: Simplify (/ 1 1) into 1 4.950 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) (/ 1 y))) in x 4.950 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.950 * [taylor]: Taking taylor expansion of x in x 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.951 * [backup-simplify]: Simplify (/ 1 1) into 1 4.951 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.951 * [taylor]: Taking taylor expansion of y in x 4.951 * [backup-simplify]: Simplify y into y 4.951 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.951 * [backup-simplify]: Simplify (+ 1 0) into 1 4.951 * [backup-simplify]: Simplify (/ 1 1) into 1 4.951 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) (/ 1 y))) in x 4.951 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.951 * [taylor]: Taking taylor expansion of x in x 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [backup-simplify]: Simplify (/ 1 1) into 1 4.952 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.952 * [taylor]: Taking taylor expansion of y in x 4.952 * [backup-simplify]: Simplify y into y 4.952 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.952 * [backup-simplify]: Simplify (+ 1 0) into 1 4.952 * [backup-simplify]: Simplify (/ 1 1) into 1 4.952 * [taylor]: Taking taylor expansion of 1 in y 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.953 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.953 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.953 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.953 * [taylor]: Taking taylor expansion of y in y 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [backup-simplify]: Simplify (/ 1 1) into 1 4.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.954 * [backup-simplify]: Simplify (- 0) into 0 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.955 * [backup-simplify]: Simplify (+ 0 0) into 0 4.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.956 * [taylor]: Taking taylor expansion of y in y 4.956 * [backup-simplify]: Simplify 0 into 0 4.956 * [backup-simplify]: Simplify 1 into 1 4.957 * [backup-simplify]: Simplify (* 1 1) into 1 4.957 * [backup-simplify]: Simplify (/ 1 1) into 1 4.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.961 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.962 * [backup-simplify]: Simplify (- 0) into 0 4.962 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ -1 (+ (/ 1 x) (/ 1 y))) 4.962 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 x) (/ 1 y))) in (x y) around 0 4.962 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 x) (/ 1 y))) in y 4.962 * [taylor]: Taking taylor expansion of -1 in y 4.962 * [backup-simplify]: Simplify -1 into -1 4.962 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.962 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.962 * [taylor]: Taking taylor expansion of x in y 4.962 * [backup-simplify]: Simplify x into x 4.962 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.962 * [taylor]: Taking taylor expansion of y in y 4.962 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify 1 into 1 4.962 * [backup-simplify]: Simplify (/ 1 1) into 1 4.963 * [backup-simplify]: Simplify (+ 0 1) into 1 4.963 * [backup-simplify]: Simplify (/ -1 1) into -1 4.963 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 x) (/ 1 y))) in x 4.963 * [taylor]: Taking taylor expansion of -1 in x 4.963 * [backup-simplify]: Simplify -1 into -1 4.963 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.963 * [taylor]: Taking taylor expansion of x in x 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 1 into 1 4.963 * [backup-simplify]: Simplify (/ 1 1) into 1 4.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.963 * [taylor]: Taking taylor expansion of y in x 4.964 * [backup-simplify]: Simplify y into y 4.964 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.964 * [backup-simplify]: Simplify (+ 1 0) into 1 4.964 * [backup-simplify]: Simplify (/ -1 1) into -1 4.964 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 x) (/ 1 y))) in x 4.964 * [taylor]: Taking taylor expansion of -1 in x 4.964 * [backup-simplify]: Simplify -1 into -1 4.964 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.964 * [taylor]: Taking taylor expansion of x in x 4.964 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify 1 into 1 4.964 * [backup-simplify]: Simplify (/ 1 1) into 1 4.964 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.964 * [taylor]: Taking taylor expansion of y in x 4.964 * [backup-simplify]: Simplify y into y 4.965 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.965 * [backup-simplify]: Simplify (+ 1 0) into 1 4.965 * [backup-simplify]: Simplify (/ -1 1) into -1 4.965 * [taylor]: Taking taylor expansion of -1 in y 4.965 * [backup-simplify]: Simplify -1 into -1 4.965 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 y) 1)))) into (/ 1 y) 4.966 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.966 * [taylor]: Taking taylor expansion of y in y 4.966 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify 1 into 1 4.966 * [backup-simplify]: Simplify (/ 1 1) into 1 4.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.968 * [backup-simplify]: Simplify (+ 0 0) into 0 4.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 y) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 2))) 4.969 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.969 * [taylor]: Taking taylor expansion of y in y 4.969 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify 1 into 1 4.969 * [backup-simplify]: Simplify (* 1 1) into 1 4.970 * [backup-simplify]: Simplify (/ 1 1) into 1 4.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (- 0) into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 4.974 * [backup-simplify]: Simplify (/ 1 (- x y)) into (/ 1 (- x y)) 4.974 * [approximate]: Taking taylor expansion of (/ 1 (- x y)) in (x y) around 0 4.974 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in y 4.974 * [taylor]: Taking taylor expansion of (- x y) in y 4.974 * [taylor]: Taking taylor expansion of x in y 4.974 * [backup-simplify]: Simplify x into x 4.974 * [taylor]: Taking taylor expansion of y in y 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (- 0) into 0 4.974 * [backup-simplify]: Simplify (+ x 0) into x 4.974 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.974 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 4.974 * [taylor]: Taking taylor expansion of (- x y) in x 4.974 * [taylor]: Taking taylor expansion of x in x 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 1 into 1 4.974 * [taylor]: Taking taylor expansion of y in x 4.974 * [backup-simplify]: Simplify y into y 4.974 * [backup-simplify]: Simplify (- y) into (- y) 4.974 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.974 * [backup-simplify]: Simplify (/ 1 (- y)) into (/ -1 y) 4.974 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 4.974 * [taylor]: Taking taylor expansion of (- x y) in x 4.974 * [taylor]: Taking taylor expansion of x in x 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 1 into 1 4.974 * [taylor]: Taking taylor expansion of y in x 4.974 * [backup-simplify]: Simplify y into y 4.974 * [backup-simplify]: Simplify (- y) into (- y) 4.974 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.974 * [backup-simplify]: Simplify (/ 1 (- y)) into (/ -1 y) 4.974 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.974 * [taylor]: Taking taylor expansion of -1 in y 4.975 * [backup-simplify]: Simplify -1 into -1 4.975 * [taylor]: Taking taylor expansion of y in y 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.975 * [backup-simplify]: Simplify (/ -1 1) into -1 4.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify (- 0) into 0 4.976 * [backup-simplify]: Simplify (+ 1 0) into 1 4.976 * [backup-simplify]: Simplify (- (+ (* (/ -1 y) (/ 1 (- y))))) into (- (/ 1 (pow y 2))) 4.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.976 * [taylor]: Taking taylor expansion of y in y 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [backup-simplify]: Simplify (* 1 1) into 1 4.977 * [backup-simplify]: Simplify (/ 1 1) into 1 4.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.980 * [backup-simplify]: Simplify (- 0) into 0 4.980 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify (- 0) into 0 4.983 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [backup-simplify]: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* (- (/ 1 (pow y 2))) (/ 1 (- y))))) into (- (/ 1 (pow y 3))) 4.984 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 4.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.984 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.984 * [taylor]: Taking taylor expansion of y in y 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (* 1 1) into 1 4.985 * [backup-simplify]: Simplify (* 1 1) into 1 4.986 * [backup-simplify]: Simplify (/ 1 1) into 1 4.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (- 0) into 0 4.992 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (- 0) into 0 4.994 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify (/ 1 (- (/ 1 x) (/ 1 y))) into (/ 1 (- (/ 1 x) (/ 1 y))) 4.995 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in (x y) around 0 4.995 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in y 4.995 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.995 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.995 * [taylor]: Taking taylor expansion of x in y 4.995 * [backup-simplify]: Simplify x into x 4.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.995 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.995 * [taylor]: Taking taylor expansion of y in y 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (/ 1 1) into 1 4.996 * [backup-simplify]: Simplify (- 1) into -1 4.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.996 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.996 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 4.996 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.996 * [taylor]: Taking taylor expansion of x in x 4.996 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify 1 into 1 4.997 * [backup-simplify]: Simplify (/ 1 1) into 1 4.997 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.997 * [taylor]: Taking taylor expansion of y in x 4.997 * [backup-simplify]: Simplify y into y 4.997 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.997 * [backup-simplify]: Simplify (+ 1 0) into 1 4.997 * [backup-simplify]: Simplify (/ 1 1) into 1 4.997 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 4.997 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.997 * [taylor]: Taking taylor expansion of x in x 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 1 into 1 4.998 * [backup-simplify]: Simplify (/ 1 1) into 1 4.998 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.998 * [taylor]: Taking taylor expansion of y in x 4.998 * [backup-simplify]: Simplify y into y 4.998 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.998 * [backup-simplify]: Simplify (+ 1 0) into 1 4.998 * [backup-simplify]: Simplify (/ 1 1) into 1 4.998 * [taylor]: Taking taylor expansion of 1 in y 4.998 * [backup-simplify]: Simplify 1 into 1 4.998 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.999 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 y)) 1)))) into (/ 1 y) 4.999 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.999 * [taylor]: Taking taylor expansion of y in y 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify 1 into 1 4.999 * [backup-simplify]: Simplify (/ 1 1) into 1 5.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.001 * [backup-simplify]: Simplify (- 0) into 0 5.001 * [backup-simplify]: Simplify (+ 0 0) into 0 5.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)))) into (/ 1 (pow y 2)) 5.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.002 * [taylor]: Taking taylor expansion of y in y 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify 1 into 1 5.002 * [backup-simplify]: Simplify (* 1 1) into 1 5.002 * [backup-simplify]: Simplify (/ 1 1) into 1 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.005 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify (/ 1 (- (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (- (/ 1 y) (/ 1 x))) 5.006 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in (x y) around 0 5.006 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in y 5.006 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 5.006 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.006 * [taylor]: Taking taylor expansion of y in y 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify 1 into 1 5.007 * [backup-simplify]: Simplify (/ 1 1) into 1 5.007 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.007 * [taylor]: Taking taylor expansion of x in y 5.007 * [backup-simplify]: Simplify x into x 5.007 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.007 * [backup-simplify]: Simplify (+ 1 0) into 1 5.007 * [backup-simplify]: Simplify (/ 1 1) into 1 5.007 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 5.007 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 5.007 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.007 * [taylor]: Taking taylor expansion of y in x 5.007 * [backup-simplify]: Simplify y into y 5.007 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.007 * [taylor]: Taking taylor expansion of x in x 5.007 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (/ 1 1) into 1 5.008 * [backup-simplify]: Simplify (- 1) into -1 5.008 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.009 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.009 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 5.009 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 5.009 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.009 * [taylor]: Taking taylor expansion of y in x 5.009 * [backup-simplify]: Simplify y into y 5.009 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.009 * [taylor]: Taking taylor expansion of x in x 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.010 * [backup-simplify]: Simplify (/ 1 1) into 1 5.010 * [backup-simplify]: Simplify (- 1) into -1 5.010 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.011 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.011 * [taylor]: Taking taylor expansion of -1 in y 5.011 * [backup-simplify]: Simplify -1 into -1 5.011 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.012 * [backup-simplify]: Simplify (- 0) into 0 5.012 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 5.012 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 y) -1)))) into (- (/ 1 y)) 5.012 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 5.012 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.012 * [taylor]: Taking taylor expansion of y in y 5.012 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify 1 into 1 5.013 * [backup-simplify]: Simplify (/ 1 1) into 1 5.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.015 * [backup-simplify]: Simplify (- 0) into 0 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.016 * [backup-simplify]: Simplify (- 0) into 0 5.017 * [backup-simplify]: Simplify (+ 0 0) into 0 5.018 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 y)) (/ (/ 1 y) -1)))) into (- (/ 1 (pow y 2))) 5.018 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 5.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.018 * [taylor]: Taking taylor expansion of y in y 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (* 1 1) into 1 5.019 * [backup-simplify]: Simplify (/ 1 1) into 1 5.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.024 * [backup-simplify]: Simplify (- 0) into 0 5.024 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (- 0) into 0 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * * * [progress]: simplifying candidates 5.043 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- x y)) (/ 1 (+ x y)))) (log1p (/ (/ 1 (- x y)) (/ 1 (+ x y)))) (- (- (log (- x y))) (- (log (+ x y)))) (- (- (log (- x y))) (- 0 (log (+ x y)))) (- (- (log (- x y))) (- (log 1) (log (+ x y)))) (- (- (log (- x y))) (log (/ 1 (+ x y)))) (- (- 0 (log (- x y))) (- (log (+ x y)))) (- (- 0 (log (- x y))) (- 0 (log (+ x y)))) (- (- 0 (log (- x y))) (- (log 1) (log (+ x y)))) (- (- 0 (log (- x y))) (log (/ 1 (+ x y)))) (- (- (log 1) (log (- x y))) (- (log (+ x y)))) (- (- (log 1) (log (- x y))) (- 0 (log (+ x y)))) (- (- (log 1) (log (- x y))) (- (log 1) (log (+ x y)))) (- (- (log 1) (log (- x y))) (log (/ 1 (+ x y)))) (- (log (/ 1 (- x y))) (- (log (+ x y)))) (- (log (/ 1 (- x y))) (- 0 (log (+ x y)))) (- (log (/ 1 (- x y))) (- (log 1) (log (+ x y)))) (- (log (/ 1 (- x y))) (log (/ 1 (+ x y)))) (log (/ (/ 1 (- x y)) (/ 1 (+ x y)))) (exp (/ (/ 1 (- x y)) (/ 1 (+ x y)))) (/ (/ (* (* 1 1) 1) (* (* (- x y) (- x y)) (- x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (/ (* (* 1 1) 1) (* (* (- x y) (- x y)) (- x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (/ (* (* (/ 1 (- x y)) (/ 1 (- x y))) (/ 1 (- x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (* (* (/ 1 (- x y)) (/ 1 (- x y))) (/ 1 (- x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (/ (/ 1 (- x y)) (/ 1 (+ x y)))) (cbrt (/ (/ 1 (- x y)) (/ 1 (+ x y))))) (cbrt (/ (/ 1 (- x y)) (/ 1 (+ x y)))) (* (* (/ (/ 1 (- x y)) (/ 1 (+ x y))) (/ (/ 1 (- x y)) (/ 1 (+ x y)))) (/ (/ 1 (- x y)) (/ 1 (+ x y)))) (sqrt (/ (/ 1 (- x y)) (/ 1 (+ x y)))) (sqrt (/ (/ 1 (- x y)) (/ 1 (+ x y)))) (- (/ 1 (- x y))) (- (/ 1 (+ x y))) (/ (* (cbrt (/ 1 (- x y))) (cbrt (/ 1 (- x y)))) 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1 (- x y))) (/ (sqrt 1) (sqrt (+ x y)))) (/ (sqrt (/ 1 (- x y))) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 (- x y))) (/ (sqrt 1) (+ x y))) (/ (sqrt (/ 1 (- x y))) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 (- x y))) (/ (sqrt 1) (+ x y))) (/ (sqrt (/ 1 (- x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (sqrt (/ 1 (- x y))) (/ 1 (cbrt (+ x y)))) (/ (sqrt (/ 1 (- x y))) (/ 1 (sqrt (+ x y)))) (/ (sqrt (/ 1 (- x y))) (/ 1 (sqrt (+ x y)))) (/ (sqrt (/ 1 (- x y))) (/ 1 1)) (/ (sqrt (/ 1 (- x y))) (/ 1 (+ x y))) (/ (sqrt (/ 1 (- x y))) (/ 1 1)) (/ (sqrt (/ 1 (- x y))) (/ 1 (+ x y))) (/ (sqrt (/ 1 (- x y))) 1) (/ (sqrt (/ 1 (- x y))) (/ 1 (+ x y))) (/ (sqrt (/ 1 (- x y))) 1) (/ (sqrt (/ 1 (- x y))) (/ 1 (+ x y))) (/ (sqrt (/ 1 (- x y))) (/ 1 (+ (pow x 3) (pow y 3)))) (/ (sqrt (/ 1 (- x y))) (+ (* x x) (- (* y y) (* x y)))) (/ (sqrt (/ 1 (- x y))) (/ 1 (- (* x x) (* y y)))) (/ (sqrt (/ 1 (- x y))) (- x y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- x y)) (cbrt (- x y)))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (/ 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* * [simplify]: iteration 0: 611 enodes 5.582 * * [simplify]: iteration 1: 1921 enodes 6.099 * * [simplify]: iteration 2: 3646 enodes 6.621 * * [simplify]: iteration complete: 5010 enodes 6.621 * * [simplify]: Extracting #0: cost 161 inf + 0 6.625 * * [simplify]: Extracting #1: cost 868 inf + 3 6.633 * * [simplify]: Extracting #2: cost 1351 inf + 4538 6.654 * * [simplify]: Extracting #3: cost 1024 inf + 64663 6.718 * * [simplify]: Extracting #4: cost 389 inf + 200528 6.775 * * [simplify]: Extracting #5: cost 37 inf + 292881 6.834 * * [simplify]: Extracting #6: cost 0 inf + 304821 6.928 * [simplify]: Simplified to: (expm1 (/ 1 (/ (- x y) (+ y x)))) (log1p (/ 1 (/ (- x y) (+ y x)))) (- (log (/ (- x y) (+ y x)))) (- (log (/ (- x y) (+ y x)))) (- (log (/ (- x y) (+ y x)))) (- (log (/ (- x y) (+ y x)))) (- (log (/ (- x y) (+ y x)))) (- (log (/ (- x y) (+ y x)))) (- (log (/ (- x y) (+ y x)))) (- (log (/ (- x y) (+ y x)))) (- (log (/ (- x y) (+ y x)))) (- (log (/ (- x y) (+ y x)))) (- (log (/ 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(/ 1 (+ y x)) (+ y x) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (fma (* y y) y (* (* x x) x))) (/ 1 (- (* x x) (* y y))) (expm1 (/ 1 (- x y))) (log1p (/ 1 (- x y))) -1 (- (log (- x y))) (- (log (- x y))) (- (log (- x y))) (- (log (- x y))) (exp (/ 1 (- x y))) (* (/ 1 (- x y)) (* (/ 1 (- x y)) (/ 1 (- x y)))) (* (cbrt (/ 1 (- x y))) (cbrt (/ 1 (- x y)))) (cbrt (/ 1 (- x y))) (* (/ 1 (- x y)) (* (/ 1 (- x y)) (/ 1 (- x y)))) (sqrt (/ 1 (- x y))) (sqrt (/ 1 (- x y))) -1 (- (- x y)) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (/ 1 (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ 1 (sqrt (- x y))) 1 (/ 1 (- x y)) (/ 1 (+ (sqrt y) (sqrt x))) (/ 1 (- (sqrt x) (sqrt y))) 1 (/ 1 (- x y)) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (/ 1 (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ 1 (sqrt (- x y))) 1 (/ 1 (- x y)) (/ 1 (+ (sqrt y) (sqrt x))) (/ 1 (- (sqrt x) (sqrt y))) 1 (/ 1 (- x y)) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (/ 1 (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ 1 (sqrt (- x y))) 1 (/ 1 (- x y)) (/ 1 (+ (sqrt y) (sqrt x))) (/ 1 (- (sqrt x) (sqrt y))) 1 (/ 1 (- x y)) (/ 1 (- x y)) (- x y) (* (/ 1 (cbrt (- x y))) (/ 1 (cbrt (- x y)))) (/ 1 (sqrt (- x y))) 1 (/ 1 (+ (sqrt y) (sqrt x))) 1 (- x y) (- x y) (- x y) (/ 1 (- (* (* x x) x) (* y (* y y)))) (/ 1 (- (* x x) (* y y))) -1 1 1 0 0 0 0 0 0 6.981 * * * [progress]: adding candidates to table 8.431 * * [progress]: iteration 4 / 4 8.431 * * * [progress]: picking best candidate 8.437 * * * * [pick]: Picked # 8.437 * * * [progress]: localizing error 8.458 * * * [progress]: generating rewritten candidates 8.458 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.481 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 8.570 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.592 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 8.623 * * * [progress]: generating series expansions 8.623 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.623 * [backup-simplify]: Simplify (/ (+ y x) (sqrt (- x y))) into (* (+ x y) (sqrt (/ 1 (- x y)))) 8.623 * [approximate]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (- x y)))) in (y x) around 0 8.623 * [taylor]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (- x y)))) in x 8.624 * [taylor]: Taking taylor expansion of (+ x y) in x 8.624 * [taylor]: Taking taylor expansion of x in x 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify 1 into 1 8.624 * [taylor]: Taking taylor expansion of y in x 8.624 * [backup-simplify]: Simplify y into y 8.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- x y))) in x 8.624 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 8.624 * [taylor]: Taking taylor expansion of (- x y) in x 8.624 * [taylor]: Taking taylor expansion of x in x 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify 1 into 1 8.624 * [taylor]: Taking taylor expansion of y in x 8.624 * [backup-simplify]: Simplify y into y 8.624 * [backup-simplify]: Simplify (- y) into (- y) 8.624 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.624 * [backup-simplify]: Simplify (/ 1 (- y)) into (/ -1 y) 8.624 * [backup-simplify]: Simplify (sqrt (/ -1 y)) into (sqrt (/ -1 y)) 8.624 * [backup-simplify]: Simplify (- 0) into 0 8.625 * [backup-simplify]: Simplify (+ 1 0) into 1 8.625 * [backup-simplify]: Simplify (- (+ (* (/ -1 y) (/ 1 (- y))))) into (- (/ 1 (pow y 2))) 8.625 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2))) (* 2 (sqrt (/ -1 y)))) into (/ -1/2 (* (sqrt (/ -1 y)) (pow y 2))) 8.625 * [taylor]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (- x y)))) in y 8.625 * [taylor]: Taking taylor expansion of (+ x y) in y 8.625 * [taylor]: Taking taylor expansion of x in y 8.625 * [backup-simplify]: Simplify x into x 8.625 * [taylor]: Taking taylor expansion of y in y 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 1 into 1 8.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- x y))) in y 8.625 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in y 8.625 * [taylor]: Taking taylor expansion of (- x y) in y 8.625 * [taylor]: Taking taylor expansion of x in y 8.625 * [backup-simplify]: Simplify x into x 8.625 * [taylor]: Taking taylor expansion of y in y 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 1 into 1 8.625 * [backup-simplify]: Simplify (- 0) into 0 8.625 * [backup-simplify]: Simplify (+ x 0) into x 8.626 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.626 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 8.626 * [backup-simplify]: Simplify (- 1) into -1 8.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ -1 x)))) into (/ 1 (pow x 2)) 8.626 * [backup-simplify]: Simplify (/ (/ 1 (pow x 2)) (* 2 (sqrt (/ 1 x)))) into (* 1/2 (sqrt (/ 1 (pow x 3)))) 8.626 * [taylor]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (- x y)))) in y 8.626 * [taylor]: Taking taylor expansion of (+ x y) in y 8.626 * [taylor]: Taking taylor expansion of x in y 8.626 * [backup-simplify]: Simplify x into x 8.626 * [taylor]: Taking taylor expansion of y in y 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 1 into 1 8.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- x y))) in y 8.626 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in y 8.626 * [taylor]: Taking taylor expansion of (- x y) in y 8.626 * [taylor]: Taking taylor expansion of x in y 8.626 * [backup-simplify]: Simplify x into x 8.627 * [taylor]: Taking taylor expansion of y in y 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 1 into 1 8.627 * [backup-simplify]: Simplify (- 0) into 0 8.627 * [backup-simplify]: Simplify (+ x 0) into x 8.627 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.627 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 8.627 * [backup-simplify]: Simplify (- 1) into -1 8.627 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ -1 x)))) into (/ 1 (pow x 2)) 8.628 * [backup-simplify]: Simplify (/ (/ 1 (pow x 2)) (* 2 (sqrt (/ 1 x)))) into (* 1/2 (sqrt (/ 1 (pow x 3)))) 8.628 * [backup-simplify]: Simplify (+ x 0) into x 8.628 * [backup-simplify]: Simplify (* x (sqrt (/ 1 x))) into (sqrt x) 8.628 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.628 * [taylor]: Taking taylor expansion of x in x 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (sqrt 0) into 0 8.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.629 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify (+ 0 1) into 1 8.630 * [backup-simplify]: Simplify (+ (* x (* 1/2 (sqrt (/ 1 (pow x 3))))) (* 1 (sqrt (/ 1 x)))) into (* 3/2 (sqrt (/ 1 x))) 8.630 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt (/ 1 x))) in x 8.630 * [taylor]: Taking taylor expansion of 3/2 in x 8.630 * [backup-simplify]: Simplify 3/2 into 3/2 8.630 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.630 * [taylor]: Taking taylor expansion of x in x 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (/ 1 1) into 1 8.630 * [backup-simplify]: Simplify (sqrt 0) into 0 8.631 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.632 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (* 0 0)) into (- +nan.0) 8.632 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.632 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.633 * [backup-simplify]: Simplify (- 0) into 0 8.633 * [backup-simplify]: Simplify (+ 0 0) into 0 8.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (/ 1 (pow x 2)) (/ -1 x)))) into (/ 1 (pow x 3)) 8.634 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 3)) (pow (* 1/2 (sqrt (/ 1 (pow x 3)))) 2) (+)) (* 2 (sqrt (/ 1 x)))) into (* 3/8 (sqrt (/ 1 (pow x 5)))) 8.634 * [backup-simplify]: Simplify (+ 0 0) into 0 8.635 * [backup-simplify]: Simplify (+ (* x (* 3/8 (sqrt (/ 1 (pow x 5))))) (+ (* 1 (* 1/2 (sqrt (/ 1 (pow x 3))))) (* 0 (sqrt (/ 1 x))))) into (* 7/8 (sqrt (/ 1 (pow x 3)))) 8.635 * [taylor]: Taking taylor expansion of (* 7/8 (sqrt (/ 1 (pow x 3)))) in x 8.635 * [taylor]: Taking taylor expansion of 7/8 in x 8.635 * [backup-simplify]: Simplify 7/8 into 7/8 8.635 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in x 8.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.635 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.635 * [taylor]: Taking taylor expansion of x in x 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (* 1 1) into 1 8.635 * [backup-simplify]: Simplify (* 1 1) into 1 8.635 * [backup-simplify]: Simplify (/ 1 1) into 1 8.636 * [backup-simplify]: Simplify (sqrt 0) into 0 8.637 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.641 * [backup-simplify]: Simplify (+ (* 7/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.641 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.642 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 y) 2)) (+ (* +nan.0 (* x 1)) (* (- +nan.0) (* 1 y)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) 8.642 * [backup-simplify]: Simplify (/ (+ (/ 1 y) (/ 1 x)) (sqrt (- (/ 1 x) (/ 1 y)))) into (* (+ (/ 1 x) (/ 1 y)) (sqrt (/ 1 (- (/ 1 x) (/ 1 y))))) 8.642 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (sqrt (/ 1 (- (/ 1 x) (/ 1 y))))) in (y x) around 0 8.642 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (sqrt (/ 1 (- (/ 1 x) (/ 1 y))))) in x 8.642 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 8.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.642 * [taylor]: Taking taylor expansion of x in x 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.642 * [backup-simplify]: Simplify (/ 1 1) into 1 8.643 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.643 * [taylor]: Taking taylor expansion of y in x 8.643 * [backup-simplify]: Simplify y into y 8.643 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 x) (/ 1 y)))) in x 8.643 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 8.643 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 8.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.643 * [taylor]: Taking taylor expansion of x in x 8.643 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify 1 into 1 8.643 * [backup-simplify]: Simplify (/ 1 1) into 1 8.643 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.643 * [taylor]: Taking taylor expansion of y in x 8.643 * [backup-simplify]: Simplify y into y 8.643 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.643 * [backup-simplify]: Simplify (+ 1 0) into 1 8.644 * [backup-simplify]: Simplify (/ 1 1) into 1 8.644 * [backup-simplify]: Simplify (sqrt 0) into 0 8.645 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.645 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (sqrt (/ 1 (- (/ 1 x) (/ 1 y))))) in y 8.645 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 8.645 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.645 * [taylor]: Taking taylor expansion of x in y 8.645 * [backup-simplify]: Simplify x into x 8.645 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.645 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.645 * [taylor]: Taking taylor expansion of y in y 8.645 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify 1 into 1 8.645 * [backup-simplify]: Simplify (/ 1 1) into 1 8.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 x) (/ 1 y)))) in y 8.645 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in y 8.645 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 8.645 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.645 * [taylor]: Taking taylor expansion of x in y 8.645 * [backup-simplify]: Simplify x into x 8.645 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.645 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.645 * [taylor]: Taking taylor expansion of y in y 8.645 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify 1 into 1 8.646 * [backup-simplify]: Simplify (/ 1 1) into 1 8.646 * [backup-simplify]: Simplify (- 1) into -1 8.646 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.647 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.647 * [backup-simplify]: Simplify (sqrt 0) into 0 8.649 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.649 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (sqrt (/ 1 (- (/ 1 x) (/ 1 y))))) in y 8.649 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 8.649 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.649 * [taylor]: Taking taylor expansion of x in y 8.649 * [backup-simplify]: Simplify x into x 8.649 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.649 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.649 * [taylor]: Taking taylor expansion of y in y 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.649 * [backup-simplify]: Simplify (/ 1 1) into 1 8.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 x) (/ 1 y)))) in y 8.649 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in y 8.649 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 8.649 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.649 * [taylor]: Taking taylor expansion of x in y 8.649 * [backup-simplify]: Simplify x into x 8.649 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.649 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.649 * [taylor]: Taking taylor expansion of y in y 8.649 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify 1 into 1 8.650 * [backup-simplify]: Simplify (/ 1 1) into 1 8.650 * [backup-simplify]: Simplify (- 1) into -1 8.651 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.651 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.651 * [backup-simplify]: Simplify (sqrt 0) into 0 8.653 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.653 * [backup-simplify]: Simplify (+ 0 1) into 1 8.654 * [backup-simplify]: Simplify (* 1 0) into 0 8.654 * [taylor]: Taking taylor expansion of 0 in x 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.654 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 8.655 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 x) 0)) into (- +nan.0) 8.655 * [taylor]: Taking taylor expansion of (- +nan.0) in x 8.655 * [taylor]: Taking taylor expansion of +nan.0 in x 8.655 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.655 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.656 * [backup-simplify]: Simplify (- 0) into 0 8.656 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 8.656 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 x) -1)))) into (- (/ 1 x)) 8.658 * [backup-simplify]: Simplify (/ (- (- (/ 1 x)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 x) (- +nan.0))) 8.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (+ 0 0) into 0 8.660 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ (/ 1 x) (- +nan.0)))) (+ (* (/ 1 x) +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 8.660 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))) in x 8.660 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 x)) (- +nan.0)) in x 8.660 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 x)) in x 8.660 * [taylor]: Taking taylor expansion of +nan.0 in x 8.660 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.660 * [taylor]: Taking taylor expansion of x in x 8.660 * [backup-simplify]: Simplify 0 into 0 8.660 * [backup-simplify]: Simplify 1 into 1 8.661 * [backup-simplify]: Simplify (/ 1 1) into 1 8.661 * [taylor]: Taking taylor expansion of (- +nan.0) in x 8.661 * [taylor]: Taking taylor expansion of +nan.0 in x 8.661 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.661 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.662 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 8.662 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.663 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.663 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.663 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.663 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.665 * [backup-simplify]: Simplify (- 0) into 0 8.665 * [backup-simplify]: Simplify (+ 0 0) into 0 8.666 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 x)) (/ (/ 1 x) -1)))) into (- (/ 1 (pow x 2))) 8.667 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow x 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 x) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (/ 1 (pow x 2)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 8.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.669 * [backup-simplify]: Simplify (+ 0 0) into 0 8.671 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ (/ 1 (pow x 2)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))) (+ (* (/ 1 x) (* +nan.0 (+ (/ 1 x) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 8.671 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) in x 8.671 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))) in x 8.671 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow x 2))) in x 8.671 * [taylor]: Taking taylor expansion of +nan.0 in x 8.671 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.671 * [taylor]: Taking taylor expansion of x in x 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.671 * [backup-simplify]: Simplify (* 1 1) into 1 8.672 * [backup-simplify]: Simplify (/ 1 1) into 1 8.672 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))) in x 8.672 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 x)) (- +nan.0)) in x 8.672 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 x)) in x 8.672 * [taylor]: Taking taylor expansion of +nan.0 in x 8.672 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.672 * [taylor]: Taking taylor expansion of x in x 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 1 into 1 8.672 * [backup-simplify]: Simplify (/ 1 1) into 1 8.672 * [taylor]: Taking taylor expansion of (- +nan.0) in x 8.672 * [taylor]: Taking taylor expansion of +nan.0 in x 8.673 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.675 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 8.675 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.675 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 8.676 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.677 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.678 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.678 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.680 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) (+ (- +nan.0) (* (- +nan.0) (* (/ 1 (/ 1 x)) (/ 1 y))))) into (- (+ (* +nan.0 (/ x y)) (- (+ (* +nan.0 (/ x (pow y 2))) (- +nan.0))))) 8.680 * [backup-simplify]: Simplify (/ (+ (/ 1 (- y)) (/ 1 (- x))) (sqrt (- (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (* (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) (+ (/ 1 x) (/ 1 y)))) 8.680 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) (+ (/ 1 x) (/ 1 y)))) in (y x) around 0 8.681 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) (+ (/ 1 x) (/ 1 y)))) in x 8.681 * [taylor]: Taking taylor expansion of -1 in x 8.681 * [backup-simplify]: Simplify -1 into -1 8.681 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) (+ (/ 1 x) (/ 1 y))) in x 8.681 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) in x 8.681 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 8.681 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 8.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.681 * [taylor]: Taking taylor expansion of y in x 8.681 * [backup-simplify]: Simplify y into y 8.681 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.681 * [taylor]: Taking taylor expansion of x in x 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 1 into 1 8.681 * [backup-simplify]: Simplify (/ 1 1) into 1 8.682 * [backup-simplify]: Simplify (- 1) into -1 8.682 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.683 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.683 * [backup-simplify]: Simplify (sqrt 0) into 0 8.685 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.685 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 8.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.685 * [taylor]: Taking taylor expansion of x in x 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify 1 into 1 8.685 * [backup-simplify]: Simplify (/ 1 1) into 1 8.685 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.685 * [taylor]: Taking taylor expansion of y in x 8.685 * [backup-simplify]: Simplify y into y 8.685 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.685 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) (+ (/ 1 x) (/ 1 y)))) in y 8.685 * [taylor]: Taking taylor expansion of -1 in y 8.685 * [backup-simplify]: Simplify -1 into -1 8.685 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) (+ (/ 1 x) (/ 1 y))) in y 8.685 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) in y 8.685 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in y 8.685 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 8.685 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.685 * [taylor]: Taking taylor expansion of y in y 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [backup-simplify]: Simplify (/ 1 1) into 1 8.686 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.686 * [taylor]: Taking taylor expansion of x in y 8.686 * [backup-simplify]: Simplify x into x 8.686 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.686 * [backup-simplify]: Simplify (+ 1 0) into 1 8.687 * [backup-simplify]: Simplify (/ 1 1) into 1 8.687 * [backup-simplify]: Simplify (sqrt 0) into 0 8.688 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.689 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 8.689 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.689 * [taylor]: Taking taylor expansion of x in y 8.689 * [backup-simplify]: Simplify x into x 8.689 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.689 * [taylor]: Taking taylor expansion of y in y 8.689 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify 1 into 1 8.689 * [backup-simplify]: Simplify (/ 1 1) into 1 8.689 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) (+ (/ 1 x) (/ 1 y)))) in y 8.689 * [taylor]: Taking taylor expansion of -1 in y 8.689 * [backup-simplify]: Simplify -1 into -1 8.689 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) (+ (/ 1 x) (/ 1 y))) in y 8.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) in y 8.689 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in y 8.689 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 8.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.689 * [taylor]: Taking taylor expansion of y in y 8.689 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify 1 into 1 8.690 * [backup-simplify]: Simplify (/ 1 1) into 1 8.690 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.690 * [taylor]: Taking taylor expansion of x in y 8.690 * [backup-simplify]: Simplify x into x 8.690 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.690 * [backup-simplify]: Simplify (+ 1 0) into 1 8.691 * [backup-simplify]: Simplify (/ 1 1) into 1 8.691 * [backup-simplify]: Simplify (sqrt 0) into 0 8.692 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.692 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 8.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.692 * [taylor]: Taking taylor expansion of x in y 8.692 * [backup-simplify]: Simplify x into x 8.692 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.693 * [taylor]: Taking taylor expansion of y in y 8.693 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify 1 into 1 8.693 * [backup-simplify]: Simplify (/ 1 1) into 1 8.693 * [backup-simplify]: Simplify (+ 0 1) into 1 8.694 * [backup-simplify]: Simplify (* 0 1) into 0 8.694 * [backup-simplify]: Simplify (* -1 0) into 0 8.694 * [taylor]: Taking taylor expansion of 0 in x 8.694 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.695 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 8.696 * [backup-simplify]: Simplify (+ (* 0 (/ 1 x)) (* +nan.0 1)) into (- +nan.0) 8.698 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0) 8.698 * [taylor]: Taking taylor expansion of (- +nan.0) in x 8.698 * [taylor]: Taking taylor expansion of +nan.0 in x 8.698 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.699 * [backup-simplify]: Simplify (+ 0 0) into 0 8.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.700 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 8.700 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 8.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 x)) 1)))) into (/ 1 x) 8.702 * [backup-simplify]: Simplify (/ (- (/ 1 x) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 x) +nan.0)) 8.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 (/ 1 x)) (* (* +nan.0 (- (/ 1 x) +nan.0)) 1))) into (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 8.703 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 8.703 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))) in x 8.703 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 x)) (- +nan.0)) in x 8.703 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 x)) in x 8.704 * [taylor]: Taking taylor expansion of +nan.0 in x 8.704 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.704 * [taylor]: Taking taylor expansion of x in x 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 1 into 1 8.704 * [backup-simplify]: Simplify (/ 1 1) into 1 8.704 * [taylor]: Taking taylor expansion of (- +nan.0) in x 8.704 * [taylor]: Taking taylor expansion of +nan.0 in x 8.704 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.705 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.705 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 8.706 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.706 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.707 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.707 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.708 * [backup-simplify]: Simplify (+ 0 0) into 0 8.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.710 * [backup-simplify]: Simplify (- 0) into 0 8.710 * [backup-simplify]: Simplify (+ 0 0) into 0 8.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ (- (/ 1 x)) 1)))) into (/ 1 (pow x 2)) 8.712 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 x) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (/ 1 (pow x 2)) (+ (* +nan.0 (/ 1 x)) (- +nan.0)))) 8.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (/ 1 x) +nan.0)) (/ 1 x)) (* (* +nan.0 (- (/ 1 (pow x 2)) (+ (* +nan.0 (/ 1 x)) (- +nan.0)))) 1)))) into (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- +nan.0))))) 8.716 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- +nan.0)))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 8.716 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) in x 8.716 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))) in x 8.716 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow x 2))) in x 8.716 * [taylor]: Taking taylor expansion of +nan.0 in x 8.716 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.716 * [taylor]: Taking taylor expansion of x in x 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (* 1 1) into 1 8.717 * [backup-simplify]: Simplify (/ 1 1) into 1 8.717 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))) in x 8.717 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 x)) (- +nan.0)) in x 8.717 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 x)) in x 8.717 * [taylor]: Taking taylor expansion of +nan.0 in x 8.717 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.717 * [taylor]: Taking taylor expansion of x in x 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * [backup-simplify]: Simplify (/ 1 1) into 1 8.717 * [taylor]: Taking taylor expansion of (- +nan.0) in x 8.717 * [taylor]: Taking taylor expansion of +nan.0 in x 8.718 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.720 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 8.724 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.725 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 8.725 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.726 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.727 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.728 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.729 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) (+ (- +nan.0) (* (- +nan.0) (* (/ 1 (/ 1 (- x))) (/ 1 (- y)))))) into (- (+ (* +nan.0 (/ x y)) (- (+ (* +nan.0 (/ x (pow y 2))) (- +nan.0))))) 8.729 * * * * [progress]: [ 2 / 4 ] generating series at (2) 8.730 * [backup-simplify]: Simplify (* (/ 1 (sqrt (- x y))) (/ (+ y x) (sqrt (- x y)))) into (/ (+ x y) (- x y)) 8.730 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 8.730 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 8.730 * [taylor]: Taking taylor expansion of (+ x y) in y 8.730 * [taylor]: Taking taylor expansion of x in y 8.730 * [backup-simplify]: Simplify x into x 8.730 * [taylor]: Taking taylor expansion of y in y 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [taylor]: Taking taylor expansion of (- x y) in y 8.730 * [taylor]: Taking taylor expansion of x in y 8.730 * [backup-simplify]: Simplify x into x 8.730 * [taylor]: Taking taylor expansion of y in y 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify (+ x 0) into x 8.730 * [backup-simplify]: Simplify (- 0) into 0 8.730 * [backup-simplify]: Simplify (+ x 0) into x 8.730 * [backup-simplify]: Simplify (/ x x) into 1 8.730 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 8.730 * [taylor]: Taking taylor expansion of (+ x y) in x 8.730 * [taylor]: Taking taylor expansion of x in x 8.730 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [taylor]: Taking taylor expansion of y in x 8.731 * [backup-simplify]: Simplify y into y 8.731 * [taylor]: Taking taylor expansion of (- x y) in x 8.731 * [taylor]: Taking taylor expansion of x in x 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [taylor]: Taking taylor expansion of y in x 8.731 * [backup-simplify]: Simplify y into y 8.731 * [backup-simplify]: Simplify (+ 0 y) into y 8.731 * [backup-simplify]: Simplify (- y) into (- y) 8.731 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.731 * [backup-simplify]: Simplify (/ y (- y)) into -1 8.731 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 8.731 * [taylor]: Taking taylor expansion of (+ x y) in x 8.731 * [taylor]: Taking taylor expansion of x in x 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [taylor]: Taking taylor expansion of y in x 8.731 * [backup-simplify]: Simplify y into y 8.731 * [taylor]: Taking taylor expansion of (- x y) in x 8.731 * [taylor]: Taking taylor expansion of x in x 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [taylor]: Taking taylor expansion of y in x 8.731 * [backup-simplify]: Simplify y into y 8.731 * [backup-simplify]: Simplify (+ 0 y) into y 8.731 * [backup-simplify]: Simplify (- y) into (- y) 8.731 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.731 * [backup-simplify]: Simplify (/ y (- y)) into -1 8.732 * [taylor]: Taking taylor expansion of -1 in y 8.732 * [backup-simplify]: Simplify -1 into -1 8.732 * [backup-simplify]: Simplify -1 into -1 8.732 * [backup-simplify]: Simplify (+ 1 0) into 1 8.732 * [backup-simplify]: Simplify (- 0) into 0 8.733 * [backup-simplify]: Simplify (+ 1 0) into 1 8.733 * [backup-simplify]: Simplify (- (/ 1 (- y)) (+ (* -1 (/ 1 (- y))))) into (- (* 2 (/ 1 y))) 8.733 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 8.733 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 8.733 * [taylor]: Taking taylor expansion of 2 in y 8.733 * [backup-simplify]: Simplify 2 into 2 8.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.733 * [taylor]: Taking taylor expansion of y in y 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 1 into 1 8.734 * [backup-simplify]: Simplify (/ 1 1) into 1 8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.735 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.735 * [backup-simplify]: Simplify (- 0) into 0 8.736 * [backup-simplify]: Simplify 0 into 0 8.736 * [backup-simplify]: Simplify 0 into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.736 * [backup-simplify]: Simplify (- 0) into 0 8.737 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* -1 (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 2)))) 8.737 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 8.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.737 * [taylor]: Taking taylor expansion of 2 in y 8.737 * [backup-simplify]: Simplify 2 into 2 8.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.737 * [taylor]: Taking taylor expansion of y in y 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (* 1 1) into 1 8.738 * [backup-simplify]: Simplify (/ 1 1) into 1 8.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.743 * [backup-simplify]: Simplify (- 0) into 0 8.743 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.745 * [backup-simplify]: Simplify (- 0) into 0 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify (+ 0 0) into 0 8.746 * [backup-simplify]: Simplify (- 0) into 0 8.746 * [backup-simplify]: Simplify (+ 0 0) into 0 8.747 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* -1 (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 0 (- y))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 3)))) 8.747 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 8.747 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 8.747 * [taylor]: Taking taylor expansion of 2 in y 8.747 * [backup-simplify]: Simplify 2 into 2 8.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 8.747 * [taylor]: Taking taylor expansion of (pow y 3) in y 8.747 * [taylor]: Taking taylor expansion of y in y 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 1 into 1 8.748 * [backup-simplify]: Simplify (* 1 1) into 1 8.748 * [backup-simplify]: Simplify (* 1 1) into 1 8.748 * [backup-simplify]: Simplify (/ 1 1) into 1 8.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.757 * [backup-simplify]: Simplify (- 0) into 0 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify -1 into -1 8.758 * [backup-simplify]: Simplify (* (/ 1 (sqrt (- (/ 1 x) (/ 1 y)))) (/ (+ (/ 1 y) (/ 1 x)) (sqrt (- (/ 1 x) (/ 1 y))))) into (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) 8.758 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 8.758 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 8.758 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 8.758 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.758 * [taylor]: Taking taylor expansion of x in y 8.758 * [backup-simplify]: Simplify x into x 8.758 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.758 * [taylor]: Taking taylor expansion of y in y 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 1 into 1 8.759 * [backup-simplify]: Simplify (/ 1 1) into 1 8.759 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 8.759 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.759 * [taylor]: Taking taylor expansion of x in y 8.759 * [backup-simplify]: Simplify x into x 8.759 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.759 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.759 * [taylor]: Taking taylor expansion of y in y 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.760 * [backup-simplify]: Simplify (/ 1 1) into 1 8.760 * [backup-simplify]: Simplify (+ 0 1) into 1 8.760 * [backup-simplify]: Simplify (- 1) into -1 8.761 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.761 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.761 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 8.761 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 8.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.761 * [taylor]: Taking taylor expansion of x in x 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 1 into 1 8.762 * [backup-simplify]: Simplify (/ 1 1) into 1 8.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.762 * [taylor]: Taking taylor expansion of y in x 8.762 * [backup-simplify]: Simplify y into y 8.762 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.762 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 8.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.762 * [taylor]: Taking taylor expansion of x in x 8.762 * [backup-simplify]: Simplify 0 into 0 8.762 * [backup-simplify]: Simplify 1 into 1 8.762 * [backup-simplify]: Simplify (/ 1 1) into 1 8.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.762 * [taylor]: Taking taylor expansion of y in x 8.762 * [backup-simplify]: Simplify y into y 8.762 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.763 * [backup-simplify]: Simplify (+ 1 0) into 1 8.763 * [backup-simplify]: Simplify (+ 1 0) into 1 8.764 * [backup-simplify]: Simplify (/ 1 1) into 1 8.764 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 8.764 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 8.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.764 * [taylor]: Taking taylor expansion of x in x 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify 1 into 1 8.764 * [backup-simplify]: Simplify (/ 1 1) into 1 8.764 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.764 * [taylor]: Taking taylor expansion of y in x 8.764 * [backup-simplify]: Simplify y into y 8.764 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.764 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 8.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.764 * [taylor]: Taking taylor expansion of x in x 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify 1 into 1 8.765 * [backup-simplify]: Simplify (/ 1 1) into 1 8.765 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.765 * [taylor]: Taking taylor expansion of y in x 8.765 * [backup-simplify]: Simplify y into y 8.765 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.766 * [backup-simplify]: Simplify (+ 1 0) into 1 8.766 * [backup-simplify]: Simplify (+ 1 0) into 1 8.766 * [backup-simplify]: Simplify (/ 1 1) into 1 8.766 * [taylor]: Taking taylor expansion of 1 in y 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify 1 into 1 8.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.767 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 8.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.768 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 8.768 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 8.768 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 y)) 8.768 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 8.768 * [taylor]: Taking taylor expansion of 2 in y 8.768 * [backup-simplify]: Simplify 2 into 2 8.769 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.769 * [taylor]: Taking taylor expansion of y in y 8.769 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify 1 into 1 8.769 * [backup-simplify]: Simplify (/ 1 1) into 1 8.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.770 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.772 * [backup-simplify]: Simplify (+ 0 0) into 0 8.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.773 * [backup-simplify]: Simplify (- 0) into 0 8.773 * [backup-simplify]: Simplify (+ 0 0) into 0 8.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 2))) 8.774 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.774 * [taylor]: Taking taylor expansion of 2 in y 8.774 * [backup-simplify]: Simplify 2 into 2 8.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.775 * [taylor]: Taking taylor expansion of y in y 8.775 * [backup-simplify]: Simplify 0 into 0 8.775 * [backup-simplify]: Simplify 1 into 1 8.775 * [backup-simplify]: Simplify (* 1 1) into 1 8.775 * [backup-simplify]: Simplify (/ 1 1) into 1 8.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.779 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 0 into 0 8.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.783 * [backup-simplify]: Simplify (+ 0 0) into 0 8.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.785 * [backup-simplify]: Simplify (- 0) into 0 8.785 * [backup-simplify]: Simplify (+ 0 0) into 0 8.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* (* 2 (/ 1 (pow y 2))) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 3))) 8.787 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 8.787 * [taylor]: Taking taylor expansion of 2 in y 8.787 * [backup-simplify]: Simplify 2 into 2 8.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 8.787 * [taylor]: Taking taylor expansion of (pow y 3) in y 8.787 * [taylor]: Taking taylor expansion of y in y 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [backup-simplify]: Simplify (* 1 1) into 1 8.787 * [backup-simplify]: Simplify (* 1 1) into 1 8.788 * [backup-simplify]: Simplify (/ 1 1) into 1 8.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.796 * [backup-simplify]: Simplify (* (/ 1 (sqrt (- (/ 1 (- x)) (/ 1 (- y))))) (/ (+ (/ 1 (- y)) (/ 1 (- x))) (sqrt (- (/ 1 (- x)) (/ 1 (- y)))))) into (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) 8.796 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 8.796 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in y 8.797 * [taylor]: Taking taylor expansion of -1 in y 8.797 * [backup-simplify]: Simplify -1 into -1 8.797 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in y 8.797 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 8.797 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.797 * [taylor]: Taking taylor expansion of x in y 8.797 * [backup-simplify]: Simplify x into x 8.797 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.797 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.797 * [taylor]: Taking taylor expansion of y in y 8.797 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify 1 into 1 8.797 * [backup-simplify]: Simplify (/ 1 1) into 1 8.797 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 8.797 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.797 * [taylor]: Taking taylor expansion of y in y 8.797 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify 1 into 1 8.798 * [backup-simplify]: Simplify (/ 1 1) into 1 8.798 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.798 * [taylor]: Taking taylor expansion of x in y 8.798 * [backup-simplify]: Simplify x into x 8.798 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.798 * [backup-simplify]: Simplify (+ 0 1) into 1 8.799 * [backup-simplify]: Simplify (+ 1 0) into 1 8.799 * [backup-simplify]: Simplify (/ 1 1) into 1 8.799 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in x 8.799 * [taylor]: Taking taylor expansion of -1 in x 8.799 * [backup-simplify]: Simplify -1 into -1 8.799 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 8.799 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 8.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.799 * [taylor]: Taking taylor expansion of x in x 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 1 into 1 8.799 * [backup-simplify]: Simplify (/ 1 1) into 1 8.799 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.799 * [taylor]: Taking taylor expansion of y in x 8.799 * [backup-simplify]: Simplify y into y 8.800 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.800 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 8.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.800 * [taylor]: Taking taylor expansion of y in x 8.800 * [backup-simplify]: Simplify y into y 8.800 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.800 * [taylor]: Taking taylor expansion of x in x 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify 1 into 1 8.800 * [backup-simplify]: Simplify (/ 1 1) into 1 8.800 * [backup-simplify]: Simplify (+ 1 0) into 1 8.801 * [backup-simplify]: Simplify (- 1) into -1 8.801 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.802 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.802 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in x 8.802 * [taylor]: Taking taylor expansion of -1 in x 8.802 * [backup-simplify]: Simplify -1 into -1 8.802 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 8.802 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 8.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.802 * [taylor]: Taking taylor expansion of x in x 8.802 * [backup-simplify]: Simplify 0 into 0 8.802 * [backup-simplify]: Simplify 1 into 1 8.802 * [backup-simplify]: Simplify (/ 1 1) into 1 8.802 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.802 * [taylor]: Taking taylor expansion of y in x 8.802 * [backup-simplify]: Simplify y into y 8.802 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.802 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 8.802 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.802 * [taylor]: Taking taylor expansion of y in x 8.802 * [backup-simplify]: Simplify y into y 8.802 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.802 * [taylor]: Taking taylor expansion of x in x 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify 1 into 1 8.803 * [backup-simplify]: Simplify (/ 1 1) into 1 8.803 * [backup-simplify]: Simplify (+ 1 0) into 1 8.804 * [backup-simplify]: Simplify (- 1) into -1 8.804 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.804 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.805 * [backup-simplify]: Simplify (* -1 -1) into 1 8.805 * [taylor]: Taking taylor expansion of 1 in y 8.805 * [backup-simplify]: Simplify 1 into 1 8.805 * [backup-simplify]: Simplify 1 into 1 8.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.806 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 8.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.807 * [backup-simplify]: Simplify (- 0) into 0 8.807 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.807 * [backup-simplify]: Simplify (- (/ (/ 1 y) -1) (+ (* -1 (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 y))) 8.807 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 y)))) (* 0 -1)) into (* 2 (/ 1 y)) 8.807 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 8.808 * [taylor]: Taking taylor expansion of 2 in y 8.808 * [backup-simplify]: Simplify 2 into 2 8.808 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.808 * [taylor]: Taking taylor expansion of y in y 8.808 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify 1 into 1 8.808 * [backup-simplify]: Simplify (/ 1 1) into 1 8.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.809 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.809 * [backup-simplify]: Simplify 0 into 0 8.809 * [backup-simplify]: Simplify 0 into 0 8.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.811 * [backup-simplify]: Simplify (+ 0 0) into 0 8.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.812 * [backup-simplify]: Simplify (- 0) into 0 8.813 * [backup-simplify]: Simplify (+ 0 0) into 0 8.814 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 2)))) 8.815 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 (- (* 2 (/ 1 y)))) (* 0 -1))) into (* 2 (/ 1 (pow y 2))) 8.815 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.815 * [taylor]: Taking taylor expansion of 2 in y 8.815 * [backup-simplify]: Simplify 2 into 2 8.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.815 * [taylor]: Taking taylor expansion of y in y 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [backup-simplify]: Simplify (* 1 1) into 1 8.815 * [backup-simplify]: Simplify (/ 1 1) into 1 8.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.820 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.821 * [backup-simplify]: Simplify 0 into 0 8.822 * [backup-simplify]: Simplify 0 into 0 8.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.823 * [backup-simplify]: Simplify (+ 0 0) into 0 8.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.824 * [backup-simplify]: Simplify (- 0) into 0 8.825 * [backup-simplify]: Simplify (+ 0 0) into 0 8.827 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 y))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 3)))) 8.828 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 3))))) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 (- (* 2 (/ 1 y)))) (* 0 -1)))) into (* 2 (/ 1 (pow y 3))) 8.828 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 8.828 * [taylor]: Taking taylor expansion of 2 in y 8.828 * [backup-simplify]: Simplify 2 into 2 8.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 8.828 * [taylor]: Taking taylor expansion of (pow y 3) in y 8.828 * [taylor]: Taking taylor expansion of y in y 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 1 into 1 8.829 * [backup-simplify]: Simplify (* 1 1) into 1 8.829 * [backup-simplify]: Simplify (* 1 1) into 1 8.829 * [backup-simplify]: Simplify (/ 1 1) into 1 8.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 1 into 1 8.838 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.839 * [backup-simplify]: Simplify (/ 1 (sqrt (- x y))) into (sqrt (/ 1 (- x y))) 8.839 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- x y))) in (x y) around 0 8.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- x y))) in y 8.839 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in y 8.839 * [taylor]: Taking taylor expansion of (- x y) in y 8.839 * [taylor]: Taking taylor expansion of x in y 8.839 * [backup-simplify]: Simplify x into x 8.839 * [taylor]: Taking taylor expansion of y in y 8.839 * [backup-simplify]: Simplify 0 into 0 8.839 * [backup-simplify]: Simplify 1 into 1 8.839 * [backup-simplify]: Simplify (- 0) into 0 8.839 * [backup-simplify]: Simplify (+ x 0) into x 8.839 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.839 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 8.840 * [backup-simplify]: Simplify (- 1) into -1 8.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ -1 x)))) into (/ 1 (pow x 2)) 8.841 * [backup-simplify]: Simplify (/ (/ 1 (pow x 2)) (* 2 (sqrt (/ 1 x)))) into (* 1/2 (sqrt (/ 1 (pow x 3)))) 8.841 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- x y))) in x 8.841 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 8.841 * [taylor]: Taking taylor expansion of (- x y) in x 8.841 * [taylor]: Taking taylor expansion of x in x 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify 1 into 1 8.841 * [taylor]: Taking taylor expansion of y in x 8.841 * [backup-simplify]: Simplify y into y 8.841 * [backup-simplify]: Simplify (- y) into (- y) 8.841 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.841 * [backup-simplify]: Simplify (/ 1 (- y)) into (/ -1 y) 8.841 * [backup-simplify]: Simplify (sqrt (/ -1 y)) into (sqrt (/ -1 y)) 8.842 * [backup-simplify]: Simplify (- 0) into 0 8.842 * [backup-simplify]: Simplify (+ 1 0) into 1 8.842 * [backup-simplify]: Simplify (- (+ (* (/ -1 y) (/ 1 (- y))))) into (- (/ 1 (pow y 2))) 8.843 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2))) (* 2 (sqrt (/ -1 y)))) into (/ -1/2 (* (sqrt (/ -1 y)) (pow y 2))) 8.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- x y))) in x 8.843 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 8.843 * [taylor]: Taking taylor expansion of (- x y) in x 8.843 * [taylor]: Taking taylor expansion of x in x 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify 1 into 1 8.843 * [taylor]: Taking taylor expansion of y in x 8.843 * [backup-simplify]: Simplify y into y 8.843 * [backup-simplify]: Simplify (- y) into (- y) 8.843 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.843 * [backup-simplify]: Simplify (/ 1 (- y)) into (/ -1 y) 8.843 * [backup-simplify]: Simplify (sqrt (/ -1 y)) into (sqrt (/ -1 y)) 8.843 * [backup-simplify]: Simplify (- 0) into 0 8.844 * [backup-simplify]: Simplify (+ 1 0) into 1 8.844 * [backup-simplify]: Simplify (- (+ (* (/ -1 y) (/ 1 (- y))))) into (- (/ 1 (pow y 2))) 8.844 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2))) (* 2 (sqrt (/ -1 y)))) into (/ -1/2 (* (sqrt (/ -1 y)) (pow y 2))) 8.844 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 8.844 * [taylor]: Taking taylor expansion of (/ -1 y) in y 8.844 * [taylor]: Taking taylor expansion of -1 in y 8.844 * [backup-simplify]: Simplify -1 into -1 8.844 * [taylor]: Taking taylor expansion of y in y 8.844 * [backup-simplify]: Simplify 0 into 0 8.845 * [backup-simplify]: Simplify 1 into 1 8.845 * [backup-simplify]: Simplify (/ -1 1) into -1 8.845 * [backup-simplify]: Simplify (sqrt 0) into 0 8.847 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.847 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.847 * [taylor]: Taking taylor expansion of (/ -1/2 (* (sqrt (/ -1 y)) (pow y 2))) in y 8.847 * [taylor]: Taking taylor expansion of -1/2 in y 8.847 * [backup-simplify]: Simplify -1/2 into -1/2 8.847 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 y)) (pow y 2)) in y 8.847 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 8.847 * [taylor]: Taking taylor expansion of (/ -1 y) in y 8.847 * [taylor]: Taking taylor expansion of -1 in y 8.847 * [backup-simplify]: Simplify -1 into -1 8.847 * [taylor]: Taking taylor expansion of y in y 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 1 into 1 8.847 * [backup-simplify]: Simplify (/ -1 1) into -1 8.848 * [backup-simplify]: Simplify (sqrt 0) into 0 8.849 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.849 * [taylor]: Taking taylor expansion of y in y 8.849 * [backup-simplify]: Simplify 0 into 0 8.849 * [backup-simplify]: Simplify 1 into 1 8.850 * [backup-simplify]: Simplify (* 1 1) into 1 8.850 * [backup-simplify]: Simplify (* 0 1) into 0 8.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.852 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 1)) into (- +nan.0) 8.853 * [backup-simplify]: Simplify (/ -1/2 (- +nan.0)) into +nan.0 8.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.859 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 1)))) into (- +nan.0) 8.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 1))) into (- +nan.0) 8.876 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 8.882 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 8.883 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.887 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.887 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.887 * [backup-simplify]: Simplify (+ (* +nan.0 (* y 1)) (+ (* (- +nan.0) (* 1 x)) +nan.0)) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 y) (- +nan.0))))) 8.888 * [backup-simplify]: Simplify (/ 1 (sqrt (- (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (- (/ 1 x) (/ 1 y)))) 8.888 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 x) (/ 1 y)))) in (x y) around 0 8.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 x) (/ 1 y)))) in y 8.888 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in y 8.888 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 8.888 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.888 * [taylor]: Taking taylor expansion of x in y 8.888 * [backup-simplify]: Simplify x into x 8.888 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.888 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.888 * [taylor]: Taking taylor expansion of y in y 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.888 * [backup-simplify]: Simplify (/ 1 1) into 1 8.889 * [backup-simplify]: Simplify (- 1) into -1 8.889 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.889 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.890 * [backup-simplify]: Simplify (sqrt 0) into 0 8.891 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.891 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 x) (/ 1 y)))) in x 8.891 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 8.891 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 8.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.891 * [taylor]: Taking taylor expansion of x in x 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify 1 into 1 8.891 * [backup-simplify]: Simplify (/ 1 1) into 1 8.892 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.892 * [taylor]: Taking taylor expansion of y in x 8.892 * [backup-simplify]: Simplify y into y 8.892 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.892 * [backup-simplify]: Simplify (+ 1 0) into 1 8.892 * [backup-simplify]: Simplify (/ 1 1) into 1 8.893 * [backup-simplify]: Simplify (sqrt 0) into 0 8.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 x) (/ 1 y)))) in x 8.894 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 8.894 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 8.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.894 * [taylor]: Taking taylor expansion of x in x 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 1 into 1 8.894 * [backup-simplify]: Simplify (/ 1 1) into 1 8.894 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.895 * [taylor]: Taking taylor expansion of y in x 8.895 * [backup-simplify]: Simplify y into y 8.895 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.895 * [backup-simplify]: Simplify (+ 1 0) into 1 8.895 * [backup-simplify]: Simplify (/ 1 1) into 1 8.896 * [backup-simplify]: Simplify (sqrt 0) into 0 8.897 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.897 * [taylor]: Taking taylor expansion of 0 in y 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [taylor]: Taking taylor expansion of +nan.0 in y 8.897 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.897 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.897 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.898 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 8.898 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 8.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 y)) 1)))) into (/ 1 y) 8.899 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 y) +nan.0)) 8.899 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 8.900 * [taylor]: Taking taylor expansion of +nan.0 in y 8.900 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.900 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 8.900 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.900 * [taylor]: Taking taylor expansion of y in y 8.900 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify 1 into 1 8.900 * [backup-simplify]: Simplify (/ 1 1) into 1 8.900 * [taylor]: Taking taylor expansion of +nan.0 in y 8.900 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.902 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.902 * [backup-simplify]: Simplify (+ 1 0) into 1 8.904 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* 0 1)) into (- +nan.0) 8.904 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.906 * [backup-simplify]: Simplify (- 0) into 0 8.906 * [backup-simplify]: Simplify (+ 0 0) into 0 8.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)))) into (/ 1 (pow y 2)) 8.908 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 y) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (/ 1 (pow y 2)) (+ +nan.0 (- (* +nan.0 (/ 1 y)))))) 8.908 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 (pow y 2)) (+ +nan.0 (- (* +nan.0 (/ 1 y)))))) in y 8.908 * [taylor]: Taking taylor expansion of +nan.0 in y 8.908 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.908 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (+ +nan.0 (- (* +nan.0 (/ 1 y))))) in y 8.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.908 * [taylor]: Taking taylor expansion of y in y 8.908 * [backup-simplify]: Simplify 0 into 0 8.908 * [backup-simplify]: Simplify 1 into 1 8.908 * [backup-simplify]: Simplify (* 1 1) into 1 8.909 * [backup-simplify]: Simplify (/ 1 1) into 1 8.909 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 y)))) in y 8.909 * [taylor]: Taking taylor expansion of +nan.0 in y 8.909 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.909 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 8.909 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 8.909 * [taylor]: Taking taylor expansion of +nan.0 in y 8.909 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.909 * [taylor]: Taking taylor expansion of y in y 8.909 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify 1 into 1 8.909 * [backup-simplify]: Simplify (/ 1 1) into 1 8.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.914 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 8.914 * [backup-simplify]: Simplify (- 0) into 0 8.914 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 8.915 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.916 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.916 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.917 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.917 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.918 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.919 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.919 * [backup-simplify]: Simplify (+ 1 0) into 1 8.922 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 1))) into (- +nan.0) 8.922 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.923 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 x)) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 x)) 2)) (* +nan.0 (* 1 (/ 1 x))))) into (- (+ (* +nan.0 (/ 1 (pow x 3))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) 8.924 * [backup-simplify]: Simplify (/ 1 (sqrt (- (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) 8.924 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) in (x y) around 0 8.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) in y 8.924 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in y 8.924 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 8.924 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.924 * [taylor]: Taking taylor expansion of y in y 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 1 into 1 8.924 * [backup-simplify]: Simplify (/ 1 1) into 1 8.924 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.924 * [taylor]: Taking taylor expansion of x in y 8.924 * [backup-simplify]: Simplify x into x 8.924 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.925 * [backup-simplify]: Simplify (+ 1 0) into 1 8.925 * [backup-simplify]: Simplify (/ 1 1) into 1 8.925 * [backup-simplify]: Simplify (sqrt 0) into 0 8.926 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) in x 8.926 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 8.926 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 8.927 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.927 * [taylor]: Taking taylor expansion of y in x 8.927 * [backup-simplify]: Simplify y into y 8.927 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.927 * [taylor]: Taking taylor expansion of x in x 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 1 into 1 8.927 * [backup-simplify]: Simplify (/ 1 1) into 1 8.927 * [backup-simplify]: Simplify (- 1) into -1 8.928 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.928 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.928 * [backup-simplify]: Simplify (sqrt 0) into 0 8.930 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 y) (/ 1 x)))) in x 8.930 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 8.930 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 8.930 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.930 * [taylor]: Taking taylor expansion of y in x 8.930 * [backup-simplify]: Simplify y into y 8.930 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.930 * [taylor]: Taking taylor expansion of x in x 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (/ 1 1) into 1 8.931 * [backup-simplify]: Simplify (- 1) into -1 8.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.931 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.932 * [backup-simplify]: Simplify (sqrt 0) into 0 8.933 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.933 * [taylor]: Taking taylor expansion of 0 in y 8.933 * [backup-simplify]: Simplify 0 into 0 8.933 * [backup-simplify]: Simplify 0 into 0 8.933 * [taylor]: Taking taylor expansion of +nan.0 in y 8.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.933 * [backup-simplify]: Simplify 0 into 0 8.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.934 * [backup-simplify]: Simplify (- 0) into 0 8.934 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.934 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 y) -1)))) into (- (/ 1 y)) 8.935 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 y))) 8.936 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 y))) in y 8.936 * [taylor]: Taking taylor expansion of +nan.0 in y 8.936 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.936 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 y)) in y 8.936 * [taylor]: Taking taylor expansion of +nan.0 in y 8.936 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.936 * [taylor]: Taking taylor expansion of y in y 8.936 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify 1 into 1 8.936 * [backup-simplify]: Simplify (/ 1 1) into 1 8.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.937 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 8.938 * [backup-simplify]: Simplify (+ 0 1) into 1 8.939 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* 0 1)) into (- +nan.0) 8.940 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (- 0) into 0 8.941 * [backup-simplify]: Simplify (+ 0 0) into 0 8.942 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 y)) (/ (/ 1 y) -1)))) into (- (/ 1 (pow y 2))) 8.943 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 y))))))) (* 2 0)) into (* +nan.0 (+ (/ 1 (pow y 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 y))))))) 8.943 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 (pow y 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 y))))))) in y 8.943 * [taylor]: Taking taylor expansion of +nan.0 in y 8.943 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 y)))))) in y 8.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.943 * [taylor]: Taking taylor expansion of y in y 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 1 into 1 8.943 * [backup-simplify]: Simplify (* 1 1) into 1 8.944 * [backup-simplify]: Simplify (/ 1 1) into 1 8.944 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 y))))) in y 8.944 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 y)))) in y 8.944 * [taylor]: Taking taylor expansion of +nan.0 in y 8.944 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.944 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 8.944 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 8.944 * [taylor]: Taking taylor expansion of +nan.0 in y 8.944 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.944 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.944 * [taylor]: Taking taylor expansion of y in y 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (/ 1 1) into 1 8.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 8.949 * [backup-simplify]: Simplify (- 0) into 0 8.950 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 8.950 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.951 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.952 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.952 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.953 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.953 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.954 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.955 * [backup-simplify]: Simplify (+ 1 0) into 1 8.957 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 1))) into (- +nan.0) 8.957 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.959 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- x))) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 (- x))) 2)) (* +nan.0 (* 1 (/ 1 (- x)))))) into (- (+ (* +nan.0 (/ 1 (pow x 3))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) 8.959 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 8.959 * [backup-simplify]: Simplify (sqrt (- x y)) into (sqrt (- x y)) 8.959 * [approximate]: Taking taylor expansion of (sqrt (- x y)) in (x y) around 0 8.959 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in y 8.959 * [taylor]: Taking taylor expansion of (- x y) in y 8.959 * [taylor]: Taking taylor expansion of x in y 8.959 * [backup-simplify]: Simplify x into x 8.959 * [taylor]: Taking taylor expansion of y in y 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [backup-simplify]: Simplify (- 0) into 0 8.959 * [backup-simplify]: Simplify (+ x 0) into x 8.960 * [backup-simplify]: Simplify (sqrt x) into (sqrt x) 8.960 * [backup-simplify]: Simplify (- 1) into -1 8.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.960 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt x))) into (* -1/2 (sqrt (/ 1 x))) 8.961 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in x 8.961 * [taylor]: Taking taylor expansion of (- x y) in x 8.961 * [taylor]: Taking taylor expansion of x in x 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.961 * [taylor]: Taking taylor expansion of y in x 8.961 * [backup-simplify]: Simplify y into y 8.961 * [backup-simplify]: Simplify (- y) into (- y) 8.961 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.961 * [backup-simplify]: Simplify (sqrt (- y)) into (sqrt (- y)) 8.961 * [backup-simplify]: Simplify (- 0) into 0 8.962 * [backup-simplify]: Simplify (+ 1 0) into 1 8.962 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- y)))) into (/ 1/2 (sqrt (- y))) 8.962 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in x 8.962 * [taylor]: Taking taylor expansion of (- x y) in x 8.962 * [taylor]: Taking taylor expansion of x in x 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 1 into 1 8.962 * [taylor]: Taking taylor expansion of y in x 8.962 * [backup-simplify]: Simplify y into y 8.962 * [backup-simplify]: Simplify (- y) into (- y) 8.962 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.962 * [backup-simplify]: Simplify (sqrt (- y)) into (sqrt (- y)) 8.962 * [backup-simplify]: Simplify (- 0) into 0 8.963 * [backup-simplify]: Simplify (+ 1 0) into 1 8.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- y)))) into (/ 1/2 (sqrt (- y))) 8.963 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 8.963 * [taylor]: Taking taylor expansion of (- y) in y 8.963 * [taylor]: Taking taylor expansion of y in y 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify 1 into 1 8.963 * [backup-simplify]: Simplify (- 0) into 0 8.964 * [backup-simplify]: Simplify (- 1) into -1 8.964 * [backup-simplify]: Simplify (sqrt 0) into 0 8.964 * [backup-simplify]: Simplify (- 1) into -1 8.966 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- y))) in y 8.966 * [taylor]: Taking taylor expansion of 1/2 in y 8.966 * [backup-simplify]: Simplify 1/2 into 1/2 8.966 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 8.966 * [taylor]: Taking taylor expansion of (- y) in y 8.966 * [taylor]: Taking taylor expansion of y in y 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify 1 into 1 8.966 * [backup-simplify]: Simplify (- 0) into 0 8.967 * [backup-simplify]: Simplify (- 1) into -1 8.967 * [backup-simplify]: Simplify (sqrt 0) into 0 8.967 * [backup-simplify]: Simplify (- 1) into -1 8.969 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.969 * [backup-simplify]: Simplify (/ 1/2 +nan.0) into +nan.0 8.969 * [backup-simplify]: Simplify (- 0) into 0 8.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.974 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.975 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.975 * [backup-simplify]: Simplify (- 0) into 0 8.975 * [backup-simplify]: Simplify (+ 0 0) into 0 8.976 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- y))) 2) (+)) (* 2 (sqrt (- y)))) into (/ -1/8 (pow (sqrt (- y)) 3)) 8.976 * [taylor]: Taking taylor expansion of (/ -1/8 (pow (sqrt (- y)) 3)) in y 8.976 * [taylor]: Taking taylor expansion of -1/8 in y 8.976 * [backup-simplify]: Simplify -1/8 into -1/8 8.976 * [taylor]: Taking taylor expansion of (pow (sqrt (- y)) 3) in y 8.976 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 8.976 * [taylor]: Taking taylor expansion of (- y) in y 8.976 * [taylor]: Taking taylor expansion of y in y 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.977 * [backup-simplify]: Simplify (- 0) into 0 8.977 * [backup-simplify]: Simplify (- 1) into -1 8.977 * [backup-simplify]: Simplify (sqrt 0) into 0 8.978 * [backup-simplify]: Simplify (- 1) into -1 8.979 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.979 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 8.979 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 8.980 * [backup-simplify]: Simplify (/ -1/8 +nan.0) into +nan.0 8.980 * [backup-simplify]: Simplify (- 0) into 0 8.980 * [backup-simplify]: Simplify (- 0) into 0 8.983 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.983 * [backup-simplify]: Simplify (- 0) into 0 8.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.990 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.993 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 8.995 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 8.996 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 8.999 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.000 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.002 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.004 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.007 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.011 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.011 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.012 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 x) 2)) (+ (* +nan.0 (* y 1)) (* (- +nan.0) (* 1 x)))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 9.012 * [backup-simplify]: Simplify (sqrt (- (/ 1 x) (/ 1 y))) into (sqrt (- (/ 1 x) (/ 1 y))) 9.012 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in (x y) around 0 9.012 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in y 9.012 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 9.012 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.012 * [taylor]: Taking taylor expansion of x in y 9.012 * [backup-simplify]: Simplify x into x 9.012 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.012 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.012 * [taylor]: Taking taylor expansion of y in y 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 1 into 1 9.013 * [backup-simplify]: Simplify (/ 1 1) into 1 9.013 * [backup-simplify]: Simplify (- 1) into -1 9.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.013 * [backup-simplify]: Simplify (sqrt 0) into 0 9.014 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.014 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in x 9.014 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 9.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.014 * [taylor]: Taking taylor expansion of x in x 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.015 * [backup-simplify]: Simplify (/ 1 1) into 1 9.015 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.015 * [taylor]: Taking taylor expansion of y in x 9.015 * [backup-simplify]: Simplify y into y 9.015 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.015 * [backup-simplify]: Simplify (+ 1 0) into 1 9.015 * [backup-simplify]: Simplify (sqrt 0) into 0 9.016 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.016 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in x 9.016 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 9.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.016 * [taylor]: Taking taylor expansion of x in x 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 1 into 1 9.016 * [backup-simplify]: Simplify (/ 1 1) into 1 9.016 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.016 * [taylor]: Taking taylor expansion of y in x 9.016 * [backup-simplify]: Simplify y into y 9.016 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.017 * [backup-simplify]: Simplify (+ 1 0) into 1 9.017 * [backup-simplify]: Simplify (sqrt 0) into 0 9.018 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.018 * [taylor]: Taking taylor expansion of 0 in y 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [taylor]: Taking taylor expansion of +nan.0 in y 9.018 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.018 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 9.019 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 9.019 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 y))) 9.019 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 y))) in y 9.019 * [taylor]: Taking taylor expansion of +nan.0 in y 9.019 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.019 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 y)) in y 9.019 * [taylor]: Taking taylor expansion of +nan.0 in y 9.019 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.019 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.019 * [taylor]: Taking taylor expansion of y in y 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 1 into 1 9.020 * [backup-simplify]: Simplify (/ 1 1) into 1 9.020 * [backup-simplify]: Simplify (+ 0 1) into 1 9.020 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.020 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.020 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.020 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 9.021 * [backup-simplify]: Simplify (- 0) into 0 9.021 * [backup-simplify]: Simplify (+ 0 0) into 0 9.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 y))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 y))))) 9.022 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 y))))) in y 9.022 * [taylor]: Taking taylor expansion of +nan.0 in y 9.022 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.022 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 y)))) in y 9.022 * [taylor]: Taking taylor expansion of +nan.0 in y 9.022 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.022 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 9.022 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 9.022 * [taylor]: Taking taylor expansion of +nan.0 in y 9.022 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.022 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.022 * [taylor]: Taking taylor expansion of y in y 9.022 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify 1 into 1 9.022 * [backup-simplify]: Simplify (/ 1 1) into 1 9.023 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.023 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.023 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 9.024 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 9.024 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.024 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 y)) (pow (/ 1 x) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 y)) (/ 1 x))))) into (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 9.024 * [backup-simplify]: Simplify (sqrt (- (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (- (/ 1 y) (/ 1 x))) 9.024 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in (x y) around 0 9.024 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in y 9.024 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 9.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.024 * [taylor]: Taking taylor expansion of y in y 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (/ 1 1) into 1 9.025 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.025 * [taylor]: Taking taylor expansion of x in y 9.025 * [backup-simplify]: Simplify x into x 9.025 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.025 * [backup-simplify]: Simplify (+ 1 0) into 1 9.025 * [backup-simplify]: Simplify (sqrt 0) into 0 9.026 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.026 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in x 9.026 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 9.026 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.026 * [taylor]: Taking taylor expansion of y in x 9.026 * [backup-simplify]: Simplify y into y 9.026 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.026 * [taylor]: Taking taylor expansion of x in x 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify 1 into 1 9.027 * [backup-simplify]: Simplify (/ 1 1) into 1 9.027 * [backup-simplify]: Simplify (- 1) into -1 9.027 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.027 * [backup-simplify]: Simplify (sqrt 0) into 0 9.028 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.028 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in x 9.028 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 9.028 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.028 * [taylor]: Taking taylor expansion of y in x 9.028 * [backup-simplify]: Simplify y into y 9.028 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.028 * [taylor]: Taking taylor expansion of x in x 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 1 into 1 9.028 * [backup-simplify]: Simplify (/ 1 1) into 1 9.029 * [backup-simplify]: Simplify (- 1) into -1 9.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.029 * [backup-simplify]: Simplify (sqrt 0) into 0 9.030 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.030 * [taylor]: Taking taylor expansion of 0 in y 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [taylor]: Taking taylor expansion of +nan.0 in y 9.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.030 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.031 * [backup-simplify]: Simplify (- 0) into 0 9.031 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 9.032 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 y) +nan.0)) 9.032 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 9.032 * [taylor]: Taking taylor expansion of +nan.0 in y 9.032 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.032 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 9.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.032 * [taylor]: Taking taylor expansion of y in y 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 1 into 1 9.032 * [backup-simplify]: Simplify (/ 1 1) into 1 9.032 * [taylor]: Taking taylor expansion of +nan.0 in y 9.032 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.032 * [backup-simplify]: Simplify (+ 1 0) into 1 9.033 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.033 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.033 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 9.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify (- 0) into 0 9.034 * [backup-simplify]: Simplify (+ 0 0) into 0 9.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 y) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 y))))) 9.034 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 y))))) in y 9.034 * [taylor]: Taking taylor expansion of +nan.0 in y 9.034 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.034 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 y)))) in y 9.034 * [taylor]: Taking taylor expansion of +nan.0 in y 9.034 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.034 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 9.034 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 9.034 * [taylor]: Taking taylor expansion of +nan.0 in y 9.034 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.034 * [taylor]: Taking taylor expansion of y in y 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 1 into 1 9.035 * [backup-simplify]: Simplify (/ 1 1) into 1 9.035 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.035 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.036 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 9.036 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 9.036 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.037 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))))) into (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 9.037 * * * [progress]: simplifying candidates 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(sqrt (cbrt (- x y))) (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y))) (sqrt 1) (sqrt (- x y)) (sqrt (+ (sqrt x) (sqrt y))) (sqrt (- (sqrt x) (sqrt y))) (sqrt 1) (sqrt (- x y)) (sqrt (- (pow x 3) (pow y 3))) (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (+ x y)) (/ 1 2) (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ x y)) (- (+ (* +nan.0 (/ x (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ x y)) (- (+ (* +nan.0 (/ x (pow y 2))) (- +nan.0))))) -1 1 1 (- (+ (* +nan.0 x) (- (+ (* +nan.0 y) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 3))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (* +nan.0 (/ 1 (pow x 3))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 9.044 * * [simplify]: iteration 0: 284 enodes 9.154 * * [simplify]: iteration 1: 792 enodes 9.531 * * [simplify]: iteration 2: 2166 enodes 10.496 * * [simplify]: iteration complete: 5000 enodes 10.496 * * [simplify]: Extracting #0: cost 129 inf + 0 10.498 * * [simplify]: Extracting #1: cost 600 inf + 4 10.502 * * [simplify]: Extracting #2: cost 1130 inf + 1080 10.510 * * [simplify]: Extracting #3: cost 1082 inf + 21758 10.532 * * [simplify]: Extracting #4: cost 523 inf + 107567 10.580 * * [simplify]: Extracting #5: cost 125 inf + 214296 10.634 * * [simplify]: Extracting #6: cost 10 inf + 244355 10.689 * * [simplify]: Extracting #7: cost 0 inf + 247655 10.750 * [simplify]: Simplified to: (expm1 (/ (+ y x) (sqrt (- x y)))) (log1p (/ (+ y x) (sqrt (- x y)))) (log (/ (+ y x) (sqrt (- x y)))) (log (/ (+ y x) (sqrt (- x y)))) (exp (/ (+ y x) (sqrt (- x y)))) (* (/ (+ y x) (sqrt (- x y))) (* (/ (+ y x) (sqrt (- x y))) (/ (+ y x) (sqrt (- x y))))) (* (cbrt (/ (+ y x) (sqrt (- x 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(fma (- +nan.0) (/ x y) (fma (/ +nan.0 y) (/ x y) (- +nan.0))) (fma (- +nan.0) (/ x y) (fma (/ +nan.0 y) (/ x y) (- +nan.0))) -1 1 1 (- (- (* +nan.0 (- x y))) +nan.0) (fma +nan.0 (/ -1 (* x (* x x))) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (fma +nan.0 (/ -1 (* x (* x x))) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (fma x (- +nan.0) (* +nan.0 (fma x x (- y)))) (- (+ (* +nan.0 (- (/ (/ y x) x) (/ y x))) +nan.0)) (- (+ (* +nan.0 (- (/ (/ y x) x) (/ y x))) +nan.0)) 10.766 * * * [progress]: adding candidates to table 11.424 * [progress]: [Phase 3 of 3] Extracting. 11.424 * * [regime]: Finding splitpoints for: (# # #) 11.424 * * * [regime-changes]: Trying 2 branch expressions: (y x) 11.424 * * * * [regimes]: Trying to branch on y from (# # #) 11.454 * * * * [regimes]: Trying to branch on x from (# # #) 11.489 * * * [regime]: Found split indices: #