14.853 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (/ (+ x y) (* (* x 2.0) y)) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: Extracting # 3 : cost 0 0.021 * * [simplify]: Extracting # 4 : cost 0 0.021 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: Extracting # 1 : cost 0 0.022 * * [simplify]: Extracting # 2 : cost 0 0.022 * * [simplify]: iteration 1 : 14 enodes (cost 9 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: iteration 2 : 28 enodes (cost 9 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: Extracting # 1 : cost 0 0.039 * * [simplify]: Extracting # 2 : cost 0 0.039 * * [simplify]: iteration 3 : 42 enodes (cost 9 ) 0.047 * * [simplify]: Extracting # 0 : cost 0 0.047 * * [simplify]: iteration 4 : 44 enodes (cost 9 ) 0.058 * * [simplify]: Extracting # 0 : cost 0 0.059 * * [simplify]: iteration done: 44 enodes (cost 9 ) 0.059 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.104 * * * [progress]: generating series expansions 0.104 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.104 * [backup-simplify]: Simplify (/ (+ x y) (* (* x 2.0) y)) into (* 0.5 (/ (+ x y) (* x y))) 0.104 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.104 * [taylor]: Taking taylor expansion of 0.5 in y 0.104 * [backup-simplify]: Simplify 0.5 into 0.5 0.104 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.104 * [taylor]: Taking taylor expansion of (+ x y) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [backup-simplify]: Simplify x into x 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of (* x y) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.105 * [backup-simplify]: Simplify x into x 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ x 0) into x 0.105 * [backup-simplify]: Simplify (* x 0) into 0 0.105 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.105 * [backup-simplify]: Simplify (/ x x) into 1 0.105 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.105 * [taylor]: Taking taylor expansion of 0.5 in x 0.105 * [backup-simplify]: Simplify 0.5 into 0.5 0.105 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.105 * [taylor]: Taking taylor expansion of (+ x y) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [taylor]: Taking taylor expansion of (* x y) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (+ 0 y) into y 0.105 * [backup-simplify]: Simplify (* 0 y) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.106 * [backup-simplify]: Simplify (/ y y) into 1 0.106 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.106 * [taylor]: Taking taylor expansion of 0.5 in x 0.106 * [backup-simplify]: Simplify 0.5 into 0.5 0.106 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.106 * [taylor]: Taking taylor expansion of (+ x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [taylor]: Taking taylor expansion of (* x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [backup-simplify]: Simplify (+ 0 y) into y 0.106 * [backup-simplify]: Simplify (* 0 y) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.106 * [backup-simplify]: Simplify (/ y y) into 1 0.107 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.107 * [taylor]: Taking taylor expansion of 0.5 in y 0.107 * [backup-simplify]: Simplify 0.5 into 0.5 0.107 * [backup-simplify]: Simplify (+ 1 0) into 1 0.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.108 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.108 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (* 0 1)) into (* 0.5 (/ 1 y)) 0.108 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of 0.5 in y 0.108 * [backup-simplify]: Simplify 0.5 into 0.5 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.109 * [backup-simplify]: Simplify 0.5 into 0.5 0.109 * [backup-simplify]: Simplify 0.5 into 0.5 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify 0 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.117 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.121 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 x))) (* 0.5 (* (/ 1 y) 1))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.122 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 0.122 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.122 * [taylor]: Taking taylor expansion of 0.5 in y 0.122 * [backup-simplify]: Simplify 0.5 into 0.5 0.122 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [backup-simplify]: Simplify x into x 0.123 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.123 * [taylor]: Taking taylor expansion of (* y x) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [backup-simplify]: Simplify x into x 0.123 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.123 * [taylor]: Taking taylor expansion of 0.5 in x 0.123 * [backup-simplify]: Simplify 0.5 into 0.5 0.123 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (* y x) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.123 * [taylor]: Taking taylor expansion of 0.5 in x 0.123 * [backup-simplify]: Simplify 0.5 into 0.5 0.123 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [backup-simplify]: Simplify y into y 0.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [taylor]: Taking taylor expansion of (* y x) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [backup-simplify]: Simplify y into y 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ 0 1) into 1 0.124 * [backup-simplify]: Simplify (* y 0) into 0 0.124 * [backup-simplify]: Simplify (* 1 0) into 0 0.125 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.126 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 0.126 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 0.126 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.126 * [taylor]: Taking taylor expansion of 0.5 in y 0.126 * [backup-simplify]: Simplify 0.5 into 0.5 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 0.129 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 y) (* 0 0))) into 0.5 0.129 * [taylor]: Taking taylor expansion of 0.5 in y 0.129 * [backup-simplify]: Simplify 0.5 into 0.5 0.130 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0.5 into 0.5 0.133 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.133 * [backup-simplify]: Simplify 0.5 into 0.5 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 x)))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.141 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 0.141 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.141 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.141 * [taylor]: Taking taylor expansion of -0.5 in y 0.141 * [backup-simplify]: Simplify -0.5 into -0.5 0.141 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.142 * [taylor]: Taking taylor expansion of (* y x) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.142 * [taylor]: Taking taylor expansion of -0.5 in x 0.142 * [backup-simplify]: Simplify -0.5 into -0.5 0.142 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (* y x) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.142 * [taylor]: Taking taylor expansion of -0.5 in x 0.142 * [backup-simplify]: Simplify -0.5 into -0.5 0.142 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (* y x) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (+ 0 1) into 1 0.143 * [backup-simplify]: Simplify (* y 0) into 0 0.144 * [backup-simplify]: Simplify (* 1 0) into 0 0.144 * [backup-simplify]: Simplify (* -0.5 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.145 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 0.145 * [backup-simplify]: Simplify (+ (* -0.5 y) (* 0 0)) into (- (* 0.5 y)) 0.145 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.145 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.145 * [taylor]: Taking taylor expansion of 0.5 in y 0.145 * [backup-simplify]: Simplify 0.5 into 0.5 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 0.147 * [backup-simplify]: Simplify (+ (* -0.5 1) (+ (* 0 y) (* 0 0))) into (- 0.5) 0.147 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.147 * [taylor]: Taking taylor expansion of 0.5 in y 0.147 * [backup-simplify]: Simplify 0.5 into 0.5 0.148 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 0.150 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.151 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.152 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.152 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.152 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.155 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 0.160 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) 1)) (* (- 0.5) (* 1 (/ 1 (- x))))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.161 * * * [progress]: simplifying candidates 0.161 * [simplify]: Simplifying: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.162 * * [simplify]: Extracting # 0 : cost 0 0.162 * * [simplify]: Extracting # 1 : cost 0 0.162 * * [simplify]: Extracting # 2 : cost 0 0.162 * * [simplify]: Extracting # 3 : cost 0 0.162 * * [simplify]: Extracting # 4 : cost 0 0.162 * * [simplify]: Extracting # 5 : cost 0 0.163 * * [simplify]: Extracting # 6 : cost 0 0.163 * * [simplify]: Extracting # 7 : cost 0 0.163 * * [simplify]: iteration 0 : 75 enodes (cost 426 ) 0.194 * * [simplify]: Extracting # 0 : cost 0 0.195 * * [simplify]: Extracting # 1 : cost 0 0.195 * * [simplify]: Extracting # 2 : cost 0 0.195 * * [simplify]: Extracting # 3 : cost 0 0.196 * * [simplify]: iteration 1 : 218 enodes (cost 411 ) 0.309 * * [simplify]: Extracting # 0 : cost 0 0.310 * * [simplify]: Extracting # 1 : cost 0 0.311 * * [simplify]: Extracting # 2 : cost 0 0.312 * * [simplify]: Extracting # 3 : cost 0 0.317 * * [simplify]: Extracting # 4 : cost 0 0.318 * * [simplify]: iteration 2 : 874 enodes (cost 333 ) 2.382 * * [simplify]: Extracting # 0 : cost 0 2.388 * * [simplify]: Extracting # 1 : cost 0 2.394 * * [simplify]: Extracting # 2 : cost 0 2.401 * * [simplify]: Extracting # 3 : cost 0 2.408 * * [simplify]: iteration 3 : 4593 enodes (cost 333 ) 4.050 * * [simplify]: Extracting # 0 : cost 0 4.056 * * [simplify]: Extracting # 1 : cost 0 4.061 * * [simplify]: iteration done: 5000 enodes (cost 333 ) 4.062 * [simplify]: Simplified to: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (fma x x (* y (- y x))) (* (* x 2.0) y)) (* (* (* x 2.0) y) (- x y)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) 4.062 * * * [progress]: adding candidates to table 4.137 * * [progress]: iteration 2 / 4 4.137 * * * [progress]: picking best candidate 4.140 * * * * [pick]: Picked # 4.140 * * * [progress]: localizing error 4.145 * * * [progress]: generating rewritten candidates 4.145 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.177 * * * [progress]: generating series expansions 4.177 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.177 * [backup-simplify]: Simplify (+ (/ 0.5 y) (/ 0.5 x)) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 4.177 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (y x) around 0 4.177 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 4.177 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 4.177 * [taylor]: Taking taylor expansion of 0.5 in x 4.177 * [backup-simplify]: Simplify 0.5 into 0.5 4.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.177 * [taylor]: Taking taylor expansion of y in x 4.177 * [backup-simplify]: Simplify y into y 4.178 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.178 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 4.178 * [taylor]: Taking taylor expansion of 0.5 in x 4.178 * [backup-simplify]: Simplify 0.5 into 0.5 4.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.178 * [taylor]: Taking taylor expansion of x in x 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (/ 1 1) into 1 4.178 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 4.178 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 4.178 * [taylor]: Taking taylor expansion of 0.5 in y 4.178 * [backup-simplify]: Simplify 0.5 into 0.5 4.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.178 * [taylor]: Taking taylor expansion of y in y 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.179 * [backup-simplify]: Simplify (/ 1 1) into 1 4.179 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 4.179 * [taylor]: Taking taylor expansion of 0.5 in y 4.179 * [backup-simplify]: Simplify 0.5 into 0.5 4.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.179 * [taylor]: Taking taylor expansion of x in y 4.179 * [backup-simplify]: Simplify x into x 4.179 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.179 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 4.179 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 4.179 * [taylor]: Taking taylor expansion of 0.5 in y 4.179 * [backup-simplify]: Simplify 0.5 into 0.5 4.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.179 * [taylor]: Taking taylor expansion of y in y 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [backup-simplify]: Simplify (/ 1 1) into 1 4.179 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 4.179 * [taylor]: Taking taylor expansion of 0.5 in y 4.179 * [backup-simplify]: Simplify 0.5 into 0.5 4.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.179 * [taylor]: Taking taylor expansion of x in y 4.179 * [backup-simplify]: Simplify x into x 4.179 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.180 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.180 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.180 * [taylor]: Taking taylor expansion of 0.5 in x 4.180 * [backup-simplify]: Simplify 0.5 into 0.5 4.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.181 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.181 * [backup-simplify]: Simplify (+ 0 (/ 0.5 x)) into (* 0.5 (/ 1 x)) 4.181 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 4.181 * [taylor]: Taking taylor expansion of 0.5 in x 4.181 * [backup-simplify]: Simplify 0.5 into 0.5 4.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.181 * [taylor]: Taking taylor expansion of x in x 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 1 into 1 4.182 * [backup-simplify]: Simplify (/ 1 1) into 1 4.182 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.182 * [backup-simplify]: Simplify 0.5 into 0.5 4.182 * [backup-simplify]: Simplify 0.5 into 0.5 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.184 * [backup-simplify]: Simplify (+ 0 0) into 0 4.184 * [taylor]: Taking taylor expansion of 0 in x 4.184 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.187 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.187 * [backup-simplify]: Simplify (+ 0 0) into 0 4.187 * [taylor]: Taking taylor expansion of 0 in x 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.190 * [backup-simplify]: Simplify (+ 0 0) into 0 4.191 * [taylor]: Taking taylor expansion of 0 in x 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 y))) (* 0.5 (* (/ 1 x) 1))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 4.191 * [backup-simplify]: Simplify (+ (/ 0.5 (/ 1 y)) (/ 0.5 (/ 1 x))) into (+ (* 0.5 x) (* 0.5 y)) 4.191 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in (y x) around 0 4.191 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 4.191 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.191 * [taylor]: Taking taylor expansion of 0.5 in x 4.191 * [backup-simplify]: Simplify 0.5 into 0.5 4.191 * [taylor]: Taking taylor expansion of x in x 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.191 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 4.191 * [taylor]: Taking taylor expansion of 0.5 in x 4.191 * [backup-simplify]: Simplify 0.5 into 0.5 4.191 * [taylor]: Taking taylor expansion of y in x 4.191 * [backup-simplify]: Simplify y into y 4.191 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 4.191 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 4.191 * [taylor]: Taking taylor expansion of 0.5 in y 4.191 * [backup-simplify]: Simplify 0.5 into 0.5 4.191 * [taylor]: Taking taylor expansion of x in y 4.191 * [backup-simplify]: Simplify x into x 4.191 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.191 * [taylor]: Taking taylor expansion of 0.5 in y 4.191 * [backup-simplify]: Simplify 0.5 into 0.5 4.191 * [taylor]: Taking taylor expansion of y in y 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.191 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 4.191 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 4.191 * [taylor]: Taking taylor expansion of 0.5 in y 4.191 * [backup-simplify]: Simplify 0.5 into 0.5 4.191 * [taylor]: Taking taylor expansion of x in y 4.191 * [backup-simplify]: Simplify x into x 4.191 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.191 * [taylor]: Taking taylor expansion of 0.5 in y 4.191 * [backup-simplify]: Simplify 0.5 into 0.5 4.191 * [taylor]: Taking taylor expansion of y in y 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.192 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.192 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 4.192 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.192 * [taylor]: Taking taylor expansion of 0.5 in x 4.192 * [backup-simplify]: Simplify 0.5 into 0.5 4.192 * [taylor]: Taking taylor expansion of x in x 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 x)) into 0 4.193 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.194 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.194 * [taylor]: Taking taylor expansion of 0.5 in x 4.194 * [backup-simplify]: Simplify 0.5 into 0.5 4.194 * [backup-simplify]: Simplify 0.5 into 0.5 4.195 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.195 * [backup-simplify]: Simplify 0.5 into 0.5 4.195 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 x))) into 0 4.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.196 * [backup-simplify]: Simplify (+ 0 0) into 0 4.196 * [taylor]: Taking taylor expansion of 0 in x 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.196 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.198 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.198 * [backup-simplify]: Simplify (+ 0 0) into 0 4.198 * [taylor]: Taking taylor expansion of 0 in x 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 x) 1)) (* 0.5 (* 1 (/ 1 y)))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 4.198 * [backup-simplify]: Simplify (+ (/ 0.5 (/ 1 (- y))) (/ 0.5 (/ 1 (- x)))) into (- (+ (* 0.5 x) (* 0.5 y))) 4.198 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in (y x) around 0 4.198 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in x 4.198 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 4.198 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.198 * [taylor]: Taking taylor expansion of 0.5 in x 4.199 * [backup-simplify]: Simplify 0.5 into 0.5 4.199 * [taylor]: Taking taylor expansion of x in x 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.199 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 4.199 * [taylor]: Taking taylor expansion of 0.5 in x 4.199 * [backup-simplify]: Simplify 0.5 into 0.5 4.199 * [taylor]: Taking taylor expansion of y in x 4.199 * [backup-simplify]: Simplify y into y 4.199 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in y 4.199 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 4.199 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 4.199 * [taylor]: Taking taylor expansion of 0.5 in y 4.199 * [backup-simplify]: Simplify 0.5 into 0.5 4.199 * [taylor]: Taking taylor expansion of x in y 4.199 * [backup-simplify]: Simplify x into x 4.199 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.199 * [taylor]: Taking taylor expansion of 0.5 in y 4.199 * [backup-simplify]: Simplify 0.5 into 0.5 4.199 * [taylor]: Taking taylor expansion of y in y 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.199 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in y 4.199 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 4.199 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 4.199 * [taylor]: Taking taylor expansion of 0.5 in y 4.199 * [backup-simplify]: Simplify 0.5 into 0.5 4.199 * [taylor]: Taking taylor expansion of x in y 4.199 * [backup-simplify]: Simplify x into x 4.199 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 4.199 * [taylor]: Taking taylor expansion of 0.5 in y 4.199 * [backup-simplify]: Simplify 0.5 into 0.5 4.199 * [taylor]: Taking taylor expansion of y in y 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.199 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.199 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.199 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 4.200 * [backup-simplify]: Simplify (- (* 0.5 x)) into (- (* 0.5 x)) 4.200 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 4.200 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.200 * [taylor]: Taking taylor expansion of 0.5 in x 4.200 * [backup-simplify]: Simplify 0.5 into 0.5 4.200 * [taylor]: Taking taylor expansion of x in x 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.200 * [backup-simplify]: Simplify (- 0) into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 x)) into 0 4.201 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.202 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.202 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.202 * [taylor]: Taking taylor expansion of (- 0.5) in x 4.202 * [taylor]: Taking taylor expansion of 0.5 in x 4.202 * [backup-simplify]: Simplify 0.5 into 0.5 4.202 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.202 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.203 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.203 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.204 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 x))) into 0 4.205 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.205 * [backup-simplify]: Simplify (+ 0 0) into 0 4.205 * [backup-simplify]: Simplify (- 0) into 0 4.205 * [taylor]: Taking taylor expansion of 0 in x 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify (- 0) into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.206 * [backup-simplify]: Simplify (- 0) into 0 4.206 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.207 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.208 * [backup-simplify]: Simplify (+ 0 0) into 0 4.208 * [backup-simplify]: Simplify (- 0) into 0 4.208 * [taylor]: Taking taylor expansion of 0 in x 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (- 0) into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- x)) 1)) (* (- 0.5) (* 1 (/ 1 (- y))))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 4.209 * * * [progress]: simplifying candidates 4.209 * [simplify]: Simplifying: (expm1 (+ (/ 0.5 y) (/ 0.5 x))) (log1p (+ (/ 0.5 y) (/ 0.5 x))) (* (exp (/ 0.5 y)) (exp (/ 0.5 x))) (log (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x)))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (* (* (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x))) (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (+ (* 0.5 x) (* y 0.5)) (* y x) (+ (pow (/ 0.5 y) 3) (pow (/ 0.5 x) 3)) (+ (* (/ 0.5 y) (/ 0.5 y)) (- (* (/ 0.5 x) (/ 0.5 x)) (* (/ 0.5 y) (/ 0.5 x)))) (- (* (/ 0.5 y) (/ 0.5 y)) (* (/ 0.5 x) (/ 0.5 x))) (- (/ 0.5 y) (/ 0.5 x)) (+ (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 1 y) (/ 1 x)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 4.210 * * [simplify]: Extracting # 0 : cost 0 4.210 * * [simplify]: Extracting # 1 : cost 0 4.210 * * [simplify]: Extracting # 2 : cost 0 4.210 * * [simplify]: Extracting # 3 : cost 0 4.210 * * [simplify]: Extracting # 4 : cost 0 4.210 * * [simplify]: Extracting # 5 : cost 0 4.210 * * [simplify]: Extracting # 6 : cost 0 4.211 * * [simplify]: iteration 0 : 48 enodes (cost 243 ) 4.222 * * [simplify]: Extracting # 0 : cost 0 4.222 * * [simplify]: Extracting # 1 : cost 0 4.222 * * [simplify]: Extracting # 2 : cost 0 4.222 * * [simplify]: Extracting # 3 : cost 0 4.222 * * [simplify]: Extracting # 4 : cost 0 4.222 * * [simplify]: iteration 1 : 124 enodes (cost 230 ) 4.295 * * [simplify]: Extracting # 0 : cost 0 4.296 * * [simplify]: Extracting # 1 : cost 0 4.297 * * [simplify]: Extracting # 2 : cost 0 4.297 * * [simplify]: Extracting # 3 : cost 0 4.298 * * [simplify]: iteration 2 : 306 enodes (cost 209 ) 4.468 * * [simplify]: Extracting # 0 : cost 0 4.469 * * [simplify]: Extracting # 1 : cost 0 4.470 * * [simplify]: Extracting # 2 : cost 0 4.471 * * [simplify]: Extracting # 3 : cost 0 4.472 * * [simplify]: Extracting # 4 : cost 0 4.473 * * [simplify]: iteration 3 : 897 enodes (cost 209 ) 6.523 * * [simplify]: Extracting # 0 : cost 0 6.533 * * [simplify]: Extracting # 1 : cost 0 6.539 * * [simplify]: Extracting # 2 : cost 0 6.546 * * [simplify]: Extracting # 3 : cost 0 6.552 * * [simplify]: Extracting # 4 : cost 0 6.566 * * [simplify]: Extracting # 5 : cost 0 6.573 * * [simplify]: iteration 4 : 4235 enodes (cost 206 ) 8.686 * * [simplify]: Extracting # 0 : cost 0 8.696 * * [simplify]: Extracting # 1 : cost 0 8.705 * * [simplify]: iteration done: 5000 enodes (cost 206 ) 8.706 * [simplify]: Simplified to: (expm1 (+ (/ 0.5 y) (/ 0.5 x))) (log1p (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (log (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x)))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (pow (+ (/ 0.5 y) (/ 0.5 x)) 3) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (* 0.5 (+ x y)) (* x y) (+ (pow (/ 0.5 y) 3) (pow (/ 0.5 x) 3)) (* 0.5 (+ (/ (- (/ 0.5 x) (/ 0.5 y)) x) (/ 0.5 (* y y)))) (* 0.5 (- (/ 0.5 (* y y)) (/ (/ 0.5 x) x))) (- (/ 0.5 y) (/ 0.5 x)) (+ (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) 8.706 * * * [progress]: adding candidates to table 8.837 * * [progress]: iteration 3 / 4 8.837 * * * [progress]: picking best candidate 8.838 * * * * [pick]: Picked # 8.838 * * * [progress]: localizing error 8.845 * * * [progress]: generating rewritten candidates 8.845 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.892 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 8.945 * * * [progress]: generating series expansions 8.945 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.945 * [backup-simplify]: Simplify (/ (/ (+ x y) (* x 2.0)) y) into (* 0.5 (/ (+ x y) (* x y))) 8.945 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 8.945 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 8.945 * [taylor]: Taking taylor expansion of 0.5 in y 8.945 * [backup-simplify]: Simplify 0.5 into 0.5 8.946 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 8.946 * [taylor]: Taking taylor expansion of (+ x y) in y 8.946 * [taylor]: Taking taylor expansion of x in y 8.946 * [backup-simplify]: Simplify x into x 8.946 * [taylor]: Taking taylor expansion of y in y 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [taylor]: Taking taylor expansion of (* x y) in y 8.946 * [taylor]: Taking taylor expansion of x in y 8.946 * [backup-simplify]: Simplify x into x 8.946 * [taylor]: Taking taylor expansion of y in y 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (+ x 0) into x 8.946 * [backup-simplify]: Simplify (* x 0) into 0 8.947 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 8.947 * [backup-simplify]: Simplify (/ x x) into 1 8.947 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 8.947 * [taylor]: Taking taylor expansion of 0.5 in x 8.947 * [backup-simplify]: Simplify 0.5 into 0.5 8.947 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 8.947 * [taylor]: Taking taylor expansion of (+ x y) in x 8.947 * [taylor]: Taking taylor expansion of x in x 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.947 * [taylor]: Taking taylor expansion of y in x 8.947 * [backup-simplify]: Simplify y into y 8.947 * [taylor]: Taking taylor expansion of (* x y) in x 8.947 * [taylor]: Taking taylor expansion of x in x 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.948 * [taylor]: Taking taylor expansion of y in x 8.948 * [backup-simplify]: Simplify y into y 8.948 * [backup-simplify]: Simplify (+ 0 y) into y 8.948 * [backup-simplify]: Simplify (* 0 y) into 0 8.948 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.948 * [backup-simplify]: Simplify (/ y y) into 1 8.948 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 8.948 * [taylor]: Taking taylor expansion of 0.5 in x 8.948 * [backup-simplify]: Simplify 0.5 into 0.5 8.948 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 8.948 * [taylor]: Taking taylor expansion of (+ x y) in x 8.948 * [taylor]: Taking taylor expansion of x in x 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [taylor]: Taking taylor expansion of y in x 8.949 * [backup-simplify]: Simplify y into y 8.949 * [taylor]: Taking taylor expansion of (* x y) in x 8.949 * [taylor]: Taking taylor expansion of x in x 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [taylor]: Taking taylor expansion of y in x 8.949 * [backup-simplify]: Simplify y into y 8.949 * [backup-simplify]: Simplify (+ 0 y) into y 8.949 * [backup-simplify]: Simplify (* 0 y) into 0 8.951 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.951 * [backup-simplify]: Simplify (/ y y) into 1 8.952 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.952 * [taylor]: Taking taylor expansion of 0.5 in y 8.952 * [backup-simplify]: Simplify 0.5 into 0.5 8.953 * [backup-simplify]: Simplify (+ 1 0) into 1 8.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 8.954 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 8.955 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (* 0 1)) into (* 0.5 (/ 1 y)) 8.955 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 8.955 * [taylor]: Taking taylor expansion of 0.5 in y 8.955 * [backup-simplify]: Simplify 0.5 into 0.5 8.955 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.955 * [taylor]: Taking taylor expansion of y in y 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify (/ 1 1) into 1 8.956 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.956 * [backup-simplify]: Simplify 0.5 into 0.5 8.956 * [backup-simplify]: Simplify 0.5 into 0.5 8.956 * [backup-simplify]: Simplify (+ 0 0) into 0 8.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 8.958 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 8.958 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 8.958 * [taylor]: Taking taylor expansion of 0 in y 8.958 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.960 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify (+ 0 0) into 0 8.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.963 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.964 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 8.964 * [taylor]: Taking taylor expansion of 0 in y 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.966 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.967 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify (+ 0 0) into 0 8.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 8.969 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.971 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 8.971 * [taylor]: Taking taylor expansion of 0 in y 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 x))) (* 0.5 (* (/ 1 y) 1))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 8.972 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 x) (/ 1 y)) (* (/ 1 x) 2.0)) (/ 1 y)) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 8.972 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 8.972 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 8.972 * [taylor]: Taking taylor expansion of 0.5 in y 8.972 * [backup-simplify]: Simplify 0.5 into 0.5 8.972 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 8.972 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.972 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.972 * [taylor]: Taking taylor expansion of y in y 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 1 into 1 8.972 * [backup-simplify]: Simplify (/ 1 1) into 1 8.972 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.972 * [taylor]: Taking taylor expansion of x in y 8.973 * [backup-simplify]: Simplify x into x 8.973 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.973 * [taylor]: Taking taylor expansion of (* y x) in y 8.973 * [taylor]: Taking taylor expansion of y in y 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 1 into 1 8.973 * [taylor]: Taking taylor expansion of x in y 8.973 * [backup-simplify]: Simplify x into x 8.973 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 8.973 * [taylor]: Taking taylor expansion of 0.5 in x 8.973 * [backup-simplify]: Simplify 0.5 into 0.5 8.973 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 8.973 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.973 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.973 * [taylor]: Taking taylor expansion of y in x 8.973 * [backup-simplify]: Simplify y into y 8.973 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.973 * [taylor]: Taking taylor expansion of x in x 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 1 into 1 8.974 * [backup-simplify]: Simplify (/ 1 1) into 1 8.974 * [taylor]: Taking taylor expansion of (* y x) in x 8.974 * [taylor]: Taking taylor expansion of y in x 8.974 * [backup-simplify]: Simplify y into y 8.974 * [taylor]: Taking taylor expansion of x in x 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 8.974 * [taylor]: Taking taylor expansion of 0.5 in x 8.974 * [backup-simplify]: Simplify 0.5 into 0.5 8.974 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 8.974 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.974 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.974 * [taylor]: Taking taylor expansion of y in x 8.974 * [backup-simplify]: Simplify y into y 8.974 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.974 * [taylor]: Taking taylor expansion of x in x 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.975 * [backup-simplify]: Simplify (/ 1 1) into 1 8.975 * [taylor]: Taking taylor expansion of (* y x) in x 8.975 * [taylor]: Taking taylor expansion of y in x 8.975 * [backup-simplify]: Simplify y into y 8.975 * [taylor]: Taking taylor expansion of x in x 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify 1 into 1 8.975 * [backup-simplify]: Simplify (+ 0 1) into 1 8.975 * [backup-simplify]: Simplify (* y 0) into 0 8.976 * [backup-simplify]: Simplify (* 1 0) into 0 8.976 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.976 * [taylor]: Taking taylor expansion of 0 in y 8.976 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 8.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.978 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.978 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 8.978 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 8.978 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 8.978 * [taylor]: Taking taylor expansion of 0.5 in y 8.978 * [backup-simplify]: Simplify 0.5 into 0.5 8.978 * [taylor]: Taking taylor expansion of y in y 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 1 into 1 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 8.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.981 * [backup-simplify]: Simplify (+ 0 0) into 0 8.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 8.982 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 y) (* 0 0))) into 0.5 8.982 * [taylor]: Taking taylor expansion of 0.5 in y 8.982 * [backup-simplify]: Simplify 0.5 into 0.5 8.983 * [backup-simplify]: Simplify (* 0.5 0) into 0 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.985 * [backup-simplify]: Simplify (+ 0 0) into 0 8.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 8.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 8.988 * [taylor]: Taking taylor expansion of 0 in y 8.988 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify 0.5 into 0.5 8.989 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 8.989 * [backup-simplify]: Simplify 0.5 into 0.5 8.989 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.992 * [backup-simplify]: Simplify (+ 0 0) into 0 8.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 8.995 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 8.995 * [taylor]: Taking taylor expansion of 0 in y 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 0 into 0 8.996 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 8.996 * [backup-simplify]: Simplify 0 into 0 8.996 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.999 * [backup-simplify]: Simplify (+ 0 0) into 0 9.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 9.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 9.003 * [taylor]: Taking taylor expansion of 0 in y 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 x)))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 9.003 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- x)) 2.0)) (/ 1 (- y))) into (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 9.003 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 9.003 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 9.003 * [taylor]: Taking taylor expansion of -0.5 in y 9.003 * [backup-simplify]: Simplify -0.5 into -0.5 9.004 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 9.004 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.004 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.004 * [taylor]: Taking taylor expansion of y in y 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [backup-simplify]: Simplify (/ 1 1) into 1 9.004 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.004 * [taylor]: Taking taylor expansion of x in y 9.004 * [backup-simplify]: Simplify x into x 9.004 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.004 * [taylor]: Taking taylor expansion of (* y x) in y 9.004 * [taylor]: Taking taylor expansion of y in y 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [taylor]: Taking taylor expansion of x in y 9.004 * [backup-simplify]: Simplify x into x 9.004 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 9.004 * [taylor]: Taking taylor expansion of -0.5 in x 9.005 * [backup-simplify]: Simplify -0.5 into -0.5 9.005 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 9.005 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.005 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.005 * [taylor]: Taking taylor expansion of y in x 9.005 * [backup-simplify]: Simplify y into y 9.005 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.005 * [taylor]: Taking taylor expansion of x in x 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [backup-simplify]: Simplify (/ 1 1) into 1 9.005 * [taylor]: Taking taylor expansion of (* y x) in x 9.005 * [taylor]: Taking taylor expansion of y in x 9.005 * [backup-simplify]: Simplify y into y 9.005 * [taylor]: Taking taylor expansion of x in x 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 9.005 * [taylor]: Taking taylor expansion of -0.5 in x 9.006 * [backup-simplify]: Simplify -0.5 into -0.5 9.006 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 9.006 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.006 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.006 * [taylor]: Taking taylor expansion of y in x 9.006 * [backup-simplify]: Simplify y into y 9.006 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.006 * [taylor]: Taking taylor expansion of x in x 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (/ 1 1) into 1 9.006 * [taylor]: Taking taylor expansion of (* y x) in x 9.006 * [taylor]: Taking taylor expansion of y in x 9.006 * [backup-simplify]: Simplify y into y 9.006 * [taylor]: Taking taylor expansion of x in x 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.007 * [backup-simplify]: Simplify (+ 0 1) into 1 9.007 * [backup-simplify]: Simplify (* y 0) into 0 9.007 * [backup-simplify]: Simplify (* 1 0) into 0 9.008 * [backup-simplify]: Simplify (* -0.5 0) into 0 9.008 * [taylor]: Taking taylor expansion of 0 in y 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 9.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.009 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 9.009 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 9.010 * [backup-simplify]: Simplify (+ (* -0.5 y) (* 0 0)) into (- (* 0.5 y)) 9.010 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 9.010 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 9.010 * [taylor]: Taking taylor expansion of 0.5 in y 9.010 * [backup-simplify]: Simplify 0.5 into 0.5 9.010 * [taylor]: Taking taylor expansion of y in y 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 1 into 1 9.010 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 9.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 9.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.013 * [backup-simplify]: Simplify (+ 0 0) into 0 9.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 9.015 * [backup-simplify]: Simplify (+ (* -0.5 1) (+ (* 0 y) (* 0 0))) into (- 0.5) 9.015 * [taylor]: Taking taylor expansion of (- 0.5) in y 9.015 * [taylor]: Taking taylor expansion of 0.5 in y 9.015 * [backup-simplify]: Simplify 0.5 into 0.5 9.015 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.016 * [backup-simplify]: Simplify (- 0) into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.018 * [backup-simplify]: Simplify (+ 0 0) into 0 9.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 9.020 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 9.020 * [taylor]: Taking taylor expansion of 0 in y 9.020 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.021 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.023 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.023 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.024 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.024 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.026 * [backup-simplify]: Simplify (+ 0 0) into 0 9.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 9.029 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 9.029 * [taylor]: Taking taylor expansion of 0 in y 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify (- 0) into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 9.031 * [backup-simplify]: Simplify (- 0) into 0 9.031 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify (+ 0 0) into 0 9.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 9.037 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 9.037 * [taylor]: Taking taylor expansion of 0 in y 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) 1)) (* (- 0.5) (* 1 (/ 1 (- x))))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 9.038 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 9.039 * [backup-simplify]: Simplify (/ (+ x y) (* x 2.0)) into (* 0.5 (/ (+ x y) x)) 9.039 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 9.039 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 9.039 * [taylor]: Taking taylor expansion of 0.5 in y 9.039 * [backup-simplify]: Simplify 0.5 into 0.5 9.039 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 9.039 * [taylor]: Taking taylor expansion of (+ x y) in y 9.039 * [taylor]: Taking taylor expansion of x in y 9.039 * [backup-simplify]: Simplify x into x 9.039 * [taylor]: Taking taylor expansion of y in y 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify 1 into 1 9.039 * [taylor]: Taking taylor expansion of x in y 9.039 * [backup-simplify]: Simplify x into x 9.039 * [backup-simplify]: Simplify (+ x 0) into x 9.039 * [backup-simplify]: Simplify (/ x x) into 1 9.039 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 9.039 * [taylor]: Taking taylor expansion of 0.5 in x 9.039 * [backup-simplify]: Simplify 0.5 into 0.5 9.039 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 9.039 * [taylor]: Taking taylor expansion of (+ x y) in x 9.039 * [taylor]: Taking taylor expansion of x in x 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify 1 into 1 9.039 * [taylor]: Taking taylor expansion of y in x 9.039 * [backup-simplify]: Simplify y into y 9.040 * [taylor]: Taking taylor expansion of x in x 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [backup-simplify]: Simplify (+ 0 y) into y 9.040 * [backup-simplify]: Simplify (/ y 1) into y 9.040 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 9.040 * [taylor]: Taking taylor expansion of 0.5 in x 9.040 * [backup-simplify]: Simplify 0.5 into 0.5 9.040 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 9.040 * [taylor]: Taking taylor expansion of (+ x y) in x 9.040 * [taylor]: Taking taylor expansion of x in x 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [taylor]: Taking taylor expansion of y in x 9.040 * [backup-simplify]: Simplify y into y 9.040 * [taylor]: Taking taylor expansion of x in x 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [backup-simplify]: Simplify (+ 0 y) into y 9.040 * [backup-simplify]: Simplify (/ y 1) into y 9.040 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 9.040 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 9.040 * [taylor]: Taking taylor expansion of 0.5 in y 9.040 * [backup-simplify]: Simplify 0.5 into 0.5 9.041 * [taylor]: Taking taylor expansion of y in y 9.041 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify 1 into 1 9.041 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.041 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify (+ 1 0) into 1 9.042 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 9.043 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 y)) into 0.5 9.043 * [taylor]: Taking taylor expansion of 0.5 in y 9.043 * [backup-simplify]: Simplify 0.5 into 0.5 9.043 * [backup-simplify]: Simplify 0.5 into 0.5 9.044 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.045 * [backup-simplify]: Simplify 0.5 into 0.5 9.045 * [backup-simplify]: Simplify (+ 0 0) into 0 9.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 y))) into 0 9.047 * [taylor]: Taking taylor expansion of 0 in y 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 9.048 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify (+ 0 0) into 0 9.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.052 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 9.052 * [taylor]: Taking taylor expansion of 0 in y 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify (+ (* 0.5 (* y (/ 1 x))) 0.5) into (+ (* 0.5 (/ y x)) 0.5) 9.053 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (* (/ 1 x) 2.0)) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) 9.053 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 9.053 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 9.053 * [taylor]: Taking taylor expansion of 0.5 in y 9.053 * [backup-simplify]: Simplify 0.5 into 0.5 9.053 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 9.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.053 * [taylor]: Taking taylor expansion of y in y 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 1 into 1 9.053 * [backup-simplify]: Simplify (/ 1 1) into 1 9.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.053 * [taylor]: Taking taylor expansion of x in y 9.053 * [backup-simplify]: Simplify x into x 9.053 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.053 * [taylor]: Taking taylor expansion of x in y 9.054 * [backup-simplify]: Simplify x into x 9.054 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 9.054 * [taylor]: Taking taylor expansion of 0.5 in x 9.054 * [backup-simplify]: Simplify 0.5 into 0.5 9.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 9.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.054 * [taylor]: Taking taylor expansion of y in x 9.054 * [backup-simplify]: Simplify y into y 9.054 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.054 * [taylor]: Taking taylor expansion of x in x 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.054 * [taylor]: Taking taylor expansion of x in x 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 9.055 * [taylor]: Taking taylor expansion of 0.5 in x 9.055 * [backup-simplify]: Simplify 0.5 into 0.5 9.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 9.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.055 * [taylor]: Taking taylor expansion of y in x 9.055 * [backup-simplify]: Simplify y into y 9.055 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.055 * [taylor]: Taking taylor expansion of x in x 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 1 into 1 9.055 * [backup-simplify]: Simplify (/ 1 1) into 1 9.055 * [taylor]: Taking taylor expansion of x in x 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 1 into 1 9.056 * [backup-simplify]: Simplify (+ 0 1) into 1 9.056 * [backup-simplify]: Simplify (* 1 0) into 0 9.057 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.057 * [taylor]: Taking taylor expansion of 0 in y 9.057 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.058 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 9.058 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 9.060 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.060 * [taylor]: Taking taylor expansion of 0.5 in y 9.060 * [backup-simplify]: Simplify 0.5 into 0.5 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 9.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.061 * [backup-simplify]: Simplify (+ 0 0) into 0 9.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 9.063 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (+ (* 0 1) (* 0 0))) into (* 0.5 (/ 1 y)) 9.063 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 9.063 * [taylor]: Taking taylor expansion of 0.5 in y 9.063 * [backup-simplify]: Simplify 0.5 into 0.5 9.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.063 * [taylor]: Taking taylor expansion of y in y 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify 1 into 1 9.064 * [backup-simplify]: Simplify (/ 1 1) into 1 9.065 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.065 * [backup-simplify]: Simplify 0.5 into 0.5 9.065 * [backup-simplify]: Simplify 0.5 into 0.5 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.066 * [backup-simplify]: Simplify (+ 0 0) into 0 9.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 9.068 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0)))) into 0 9.068 * [taylor]: Taking taylor expansion of 0 in y 9.068 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.069 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.070 * [backup-simplify]: Simplify (+ 0 0) into 0 9.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0))))) into 0 9.072 * [taylor]: Taking taylor expansion of 0 in y 9.072 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify (+ 0.5 (* 0.5 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (* 0.5 (/ y x)) 0.5) 9.073 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- x)) 2.0)) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) 9.073 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 9.073 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 9.073 * [taylor]: Taking taylor expansion of 0.5 in y 9.074 * [backup-simplify]: Simplify 0.5 into 0.5 9.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 9.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.074 * [taylor]: Taking taylor expansion of y in y 9.074 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify 1 into 1 9.074 * [backup-simplify]: Simplify (/ 1 1) into 1 9.074 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.074 * [taylor]: Taking taylor expansion of x in y 9.074 * [backup-simplify]: Simplify x into x 9.074 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.074 * [taylor]: Taking taylor expansion of x in y 9.074 * [backup-simplify]: Simplify x into x 9.074 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 9.074 * [taylor]: Taking taylor expansion of 0.5 in x 9.074 * [backup-simplify]: Simplify 0.5 into 0.5 9.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 9.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.074 * [taylor]: Taking taylor expansion of y in x 9.074 * [backup-simplify]: Simplify y into y 9.074 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.074 * [taylor]: Taking taylor expansion of x in x 9.074 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify 1 into 1 9.079 * [backup-simplify]: Simplify (/ 1 1) into 1 9.080 * [taylor]: Taking taylor expansion of x in x 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 9.080 * [taylor]: Taking taylor expansion of 0.5 in x 9.080 * [backup-simplify]: Simplify 0.5 into 0.5 9.080 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 9.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.080 * [taylor]: Taking taylor expansion of y in x 9.080 * [backup-simplify]: Simplify y into y 9.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.080 * [taylor]: Taking taylor expansion of x in x 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [backup-simplify]: Simplify (/ 1 1) into 1 9.080 * [taylor]: Taking taylor expansion of x in x 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.081 * [backup-simplify]: Simplify (+ 0 1) into 1 9.081 * [backup-simplify]: Simplify (* 1 0) into 0 9.081 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.081 * [taylor]: Taking taylor expansion of 0 in y 9.081 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.082 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 9.082 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 9.083 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.083 * [taylor]: Taking taylor expansion of 0.5 in y 9.083 * [backup-simplify]: Simplify 0.5 into 0.5 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 9.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.084 * [backup-simplify]: Simplify (+ 0 0) into 0 9.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 9.085 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (+ (* 0 1) (* 0 0))) into (* 0.5 (/ 1 y)) 9.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 9.085 * [taylor]: Taking taylor expansion of 0.5 in y 9.085 * [backup-simplify]: Simplify 0.5 into 0.5 9.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.085 * [taylor]: Taking taylor expansion of y in y 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (/ 1 1) into 1 9.086 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.086 * [backup-simplify]: Simplify 0.5 into 0.5 9.086 * [backup-simplify]: Simplify 0.5 into 0.5 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.086 * [backup-simplify]: Simplify (+ 0 0) into 0 9.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 9.088 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0)))) into 0 9.088 * [taylor]: Taking taylor expansion of 0 in y 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.090 * [backup-simplify]: Simplify (+ 0 0) into 0 9.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.091 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0))))) into 0 9.091 * [taylor]: Taking taylor expansion of 0 in y 9.091 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.092 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.092 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify (+ 0.5 (* 0.5 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (* 0.5 (/ y x)) 0.5) 9.093 * * * [progress]: simplifying candidates 9.094 * [simplify]: Simplifying: (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (- (- (log (+ x y)) (+ (log x) (log 2.0))) (log y)) (- (- (log (+ x y)) (log (* x 2.0))) (log y)) (- (log (/ (+ x y) (* x 2.0))) (log y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* y y) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* y y) y)) (/ (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (* (* y y) y)) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (* (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) 1) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) 1) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (/ (sqrt (+ x y)) x) 1) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (+ x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (/ (+ x y) (* x 2.0)) 1) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (- (log (+ x y)) (+ (log x) (log 2.0))) (- (log (+ x y)) (log (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (+ (* x x) (- (* y y) (* x y)))) (* (* x 2.0) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 9.096 * * [simplify]: Extracting # 0 : cost 0 9.096 * * [simplify]: Extracting # 1 : cost 0 9.096 * * [simplify]: Extracting # 2 : cost 0 9.097 * * [simplify]: Extracting # 3 : cost 0 9.097 * * [simplify]: Extracting # 4 : cost 0 9.097 * * [simplify]: Extracting # 5 : cost 0 9.098 * * [simplify]: Extracting # 6 : cost 0 9.098 * * [simplify]: iteration 0 : 138 enodes (cost 1163 ) 9.131 * * [simplify]: Extracting # 0 : cost 0 9.131 * * [simplify]: Extracting # 1 : cost 0 9.132 * * [simplify]: Extracting # 2 : cost 0 9.132 * * [simplify]: Extracting # 3 : cost 0 9.133 * * [simplify]: iteration 1 : 339 enodes (cost 1124 ) 9.354 * * [simplify]: Extracting # 0 : cost 0 9.356 * * [simplify]: Extracting # 1 : cost 0 9.357 * * [simplify]: Extracting # 2 : cost 0 9.358 * * [simplify]: Extracting # 3 : cost 0 9.359 * * [simplify]: Extracting # 4 : cost 0 9.361 * * [simplify]: iteration 2 : 1078 enodes (cost 1002 ) 11.217 * * [simplify]: Extracting # 0 : cost 0 11.227 * * [simplify]: Extracting # 1 : cost 0 11.233 * * [simplify]: Extracting # 2 : cost 0 11.237 * * [simplify]: Extracting # 3 : cost 0 11.242 * * [simplify]: iteration 3 : 4608 enodes (cost 1002 ) 12.473 * * [simplify]: Extracting # 0 : cost 0 12.485 * * [simplify]: Extracting # 1 : cost 0 12.491 * * [simplify]: Extracting # 2 : cost 0 12.496 * * [simplify]: iteration done: 5000 enodes (cost 1002 ) 12.497 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (sqrt (/ (+ x y) (* x 2.0))) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (sqrt (+ x y)) x) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) 1 (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (+ x y) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (+ x y) (* x 2.0)) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (* (* 2.0 x) y) (* (* 2.0 x) y) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (pow (/ (+ x y) (* x 2.0)) 3) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (fma x x (* y (- y x)))) (* (* x 2.0) (- x y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) 12.497 * * * [progress]: adding candidates to table 12.678 * [progress]: [Phase 3 of 3] Extracting. 12.678 * * [regime]: Finding splitpoints for: (# #) 12.679 * * * [regime-changes]: Trying 0 branch expressions: ()