36.701 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: Extracting # 3 : cost 0 0.035 * * [simplify]: Extracting # 4 : cost 0 0.035 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: Extracting # 1 : cost 0 0.036 * * [simplify]: Extracting # 2 : cost 0 0.036 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: iteration 2 : 11 enodes (cost 7 ) 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 : 13 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.041 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.097 * * * [progress]: generating series expansions 0.097 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.097 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.097 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.097 * [taylor]: Taking taylor expansion of 1/2 in y 0.097 * [backup-simplify]: Simplify 1/2 into 1/2 0.097 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.097 * [taylor]: Taking taylor expansion of (+ x y) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [backup-simplify]: Simplify x into x 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (+ x 0) into x 0.097 * [backup-simplify]: Simplify (/ x 1) into x 0.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.097 * [taylor]: Taking taylor expansion of 1/2 in x 0.097 * [backup-simplify]: Simplify 1/2 into 1/2 0.097 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.097 * [taylor]: Taking taylor expansion of (+ x y) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.097 * [backup-simplify]: Simplify (+ 0 y) into y 0.097 * [backup-simplify]: Simplify (/ y y) into 1 0.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.097 * [taylor]: Taking taylor expansion of 1/2 in x 0.098 * [backup-simplify]: Simplify 1/2 into 1/2 0.098 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.098 * [taylor]: Taking taylor expansion of (+ x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [backup-simplify]: Simplify y into y 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [backup-simplify]: Simplify y into y 0.098 * [backup-simplify]: Simplify (+ 0 y) into y 0.098 * [backup-simplify]: Simplify (/ y y) into 1 0.098 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.098 * [taylor]: Taking taylor expansion of 1/2 in y 0.098 * [backup-simplify]: Simplify 1/2 into 1/2 0.099 * [backup-simplify]: Simplify (+ 1 0) into 1 0.099 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.099 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.099 * [taylor]: Taking taylor expansion of 1/2 in y 0.099 * [backup-simplify]: Simplify 1/2 into 1/2 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.100 * [backup-simplify]: Simplify 1/2 into 1/2 0.100 * [backup-simplify]: Simplify 1/2 into 1/2 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.106 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.106 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.107 * [taylor]: Taking taylor expansion of 1/2 in y 0.107 * [backup-simplify]: Simplify 1/2 into 1/2 0.107 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [backup-simplify]: Simplify x into x 0.107 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.107 * [taylor]: Taking taylor expansion of 1/2 in x 0.107 * [backup-simplify]: Simplify 1/2 into 1/2 0.107 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.108 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.108 * [taylor]: Taking taylor expansion of 1/2 in x 0.108 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.108 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 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 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.108 * [backup-simplify]: Simplify (+ 0 1) into 1 0.108 * [backup-simplify]: Simplify (* 1 y) into y 0.108 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.109 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.109 * [taylor]: Taking taylor expansion of 1/2 in y 0.109 * [backup-simplify]: Simplify 1/2 into 1/2 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.110 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.110 * [taylor]: Taking taylor expansion of 1/2 in y 0.110 * [backup-simplify]: Simplify 1/2 into 1/2 0.110 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1/2 into 1/2 0.112 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.112 * [backup-simplify]: Simplify 1/2 into 1/2 0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) 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 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.118 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.118 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.118 * [taylor]: Taking taylor expansion of 1/2 in y 0.118 * [backup-simplify]: Simplify 1/2 into 1/2 0.118 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [backup-simplify]: Simplify x into x 0.119 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.119 * [taylor]: Taking taylor expansion of 1/2 in x 0.119 * [backup-simplify]: Simplify 1/2 into 1/2 0.119 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.120 * [taylor]: Taking taylor expansion of 1/2 in x 0.120 * [backup-simplify]: Simplify 1/2 into 1/2 0.120 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (+ 0 1) into 1 0.126 * [backup-simplify]: Simplify (* 1 y) into y 0.126 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.126 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.126 * [taylor]: Taking taylor expansion of 1/2 in y 0.126 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.128 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.128 * [taylor]: Taking taylor expansion of 1/2 in y 0.128 * [backup-simplify]: Simplify 1/2 into 1/2 0.128 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1/2 into 1/2 0.131 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.131 * [backup-simplify]: Simplify 1/2 into 1/2 0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.134 * [backup-simplify]: Simplify 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 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.137 * * * [progress]: simplifying candidates 0.138 * [simplify]: Simplifying: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.140 * * [simplify]: Extracting # 0 : cost 0 0.140 * * [simplify]: Extracting # 1 : cost 0 0.140 * * [simplify]: Extracting # 2 : cost 0 0.140 * * [simplify]: Extracting # 3 : cost 0 0.141 * * [simplify]: Extracting # 4 : cost 0 0.141 * * [simplify]: Extracting # 5 : cost 0 0.141 * * [simplify]: iteration 0 : 114 enodes (cost 1089 ) 0.184 * * [simplify]: Extracting # 0 : cost 0 0.185 * * [simplify]: Extracting # 1 : cost 0 0.185 * * [simplify]: Extracting # 2 : cost 0 0.186 * * [simplify]: Extracting # 3 : cost 0 0.186 * * [simplify]: Extracting # 4 : cost 0 0.187 * * [simplify]: iteration 1 : 233 enodes (cost 986 ) 0.266 * * [simplify]: Extracting # 0 : cost 0 0.266 * * [simplify]: Extracting # 1 : cost 0 0.267 * * [simplify]: Extracting # 2 : cost 0 0.268 * * [simplify]: Extracting # 3 : cost 0 0.268 * * [simplify]: Extracting # 4 : cost 0 0.269 * * [simplify]: iteration 2 : 616 enodes (cost 955 ) 0.647 * * [simplify]: Extracting # 0 : cost 0 0.649 * * [simplify]: Extracting # 1 : cost 0 0.650 * * [simplify]: Extracting # 2 : cost 0 0.652 * * [simplify]: Extracting # 3 : cost 0 0.653 * * [simplify]: iteration 3 : 1654 enodes (cost 955 ) 2.706 * * [simplify]: Extracting # 0 : cost 0 2.712 * * [simplify]: Extracting # 1 : cost 0 2.726 * * [simplify]: Extracting # 2 : cost 0 2.735 * * [simplify]: Extracting # 3 : cost 0 2.744 * * [simplify]: Extracting # 4 : cost 0 2.752 * * [simplify]: iteration done: 5001 enodes (cost 954 ) 2.753 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (sqrt (exp (/ (+ x y) y))) (pow (/ (+ x y) (+ y y)) 3) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (pow (/ (+ x y) (+ y y)) 3) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (* -2 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (* 2 (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (* 2 (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (* 2 (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* 2 (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* 2 (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* 2 (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* 2 (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* 2 (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* 2 (pow y 3))) (/ (+ x y) 0) (* (+ y y) (fma x x (* y (- y x)))) (* (+ y y) (- x y)) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 2.754 * * * [progress]: adding candidates to table 2.908 * * [progress]: iteration 2 / 4 2.908 * * * [progress]: picking best candidate 2.911 * * * * [pick]: Picked # 2.911 * * * [progress]: localizing error 2.920 * * * [progress]: generating rewritten candidates 2.920 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.959 * * * [progress]: generating series expansions 2.959 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.960 * [backup-simplify]: Simplify (/ (/ (+ x y) 2) y) into (* 1/2 (/ (+ x y) y)) 2.960 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 2.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 2.960 * [taylor]: Taking taylor expansion of 1/2 in y 2.960 * [backup-simplify]: Simplify 1/2 into 1/2 2.960 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 2.960 * [taylor]: Taking taylor expansion of (+ x y) in y 2.960 * [taylor]: Taking taylor expansion of x in y 2.960 * [backup-simplify]: Simplify x into x 2.960 * [taylor]: Taking taylor expansion of y in y 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [taylor]: Taking taylor expansion of y in y 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (+ x 0) into x 2.960 * [backup-simplify]: Simplify (/ x 1) into x 2.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 2.960 * [taylor]: Taking taylor expansion of 1/2 in x 2.960 * [backup-simplify]: Simplify 1/2 into 1/2 2.960 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 2.960 * [taylor]: Taking taylor expansion of (+ x y) in x 2.960 * [taylor]: Taking taylor expansion of x in x 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [taylor]: Taking taylor expansion of y in x 2.960 * [backup-simplify]: Simplify y into y 2.960 * [taylor]: Taking taylor expansion of y in x 2.960 * [backup-simplify]: Simplify y into y 2.960 * [backup-simplify]: Simplify (+ 0 y) into y 2.960 * [backup-simplify]: Simplify (/ y y) into 1 2.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 2.960 * [taylor]: Taking taylor expansion of 1/2 in x 2.960 * [backup-simplify]: Simplify 1/2 into 1/2 2.960 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 2.960 * [taylor]: Taking taylor expansion of (+ x y) in x 2.960 * [taylor]: Taking taylor expansion of x in x 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [taylor]: Taking taylor expansion of y in x 2.961 * [backup-simplify]: Simplify y into y 2.961 * [taylor]: Taking taylor expansion of y in x 2.961 * [backup-simplify]: Simplify y into y 2.961 * [backup-simplify]: Simplify (+ 0 y) into y 2.961 * [backup-simplify]: Simplify (/ y y) into 1 2.961 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.961 * [taylor]: Taking taylor expansion of 1/2 in y 2.961 * [backup-simplify]: Simplify 1/2 into 1/2 2.962 * [backup-simplify]: Simplify (+ 1 0) into 1 2.962 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 2.962 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 2.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 2.962 * [taylor]: Taking taylor expansion of 1/2 in y 2.962 * [backup-simplify]: Simplify 1/2 into 1/2 2.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.962 * [taylor]: Taking taylor expansion of y in y 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.963 * [backup-simplify]: Simplify 1/2 into 1/2 2.963 * [backup-simplify]: Simplify 1/2 into 1/2 2.963 * [backup-simplify]: Simplify (+ 0 0) into 0 2.963 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 2.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 2.964 * [taylor]: Taking taylor expansion of 0 in y 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (+ 0 0) into 0 2.966 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 2.967 * [taylor]: Taking taylor expansion of 0 in y 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.970 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 2.971 * [taylor]: Taking taylor expansion of 0 in y 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 2.972 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 x) (/ 1 y)) 2) (/ 1 y)) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 2.972 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 2.972 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 2.972 * [taylor]: Taking taylor expansion of 1/2 in y 2.972 * [backup-simplify]: Simplify 1/2 into 1/2 2.972 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 2.972 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.972 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.972 * [taylor]: Taking taylor expansion of y in y 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.973 * [taylor]: Taking taylor expansion of x in y 2.973 * [backup-simplify]: Simplify x into x 2.973 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.973 * [taylor]: Taking taylor expansion of y in y 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 2.973 * [taylor]: Taking taylor expansion of 1/2 in x 2.973 * [backup-simplify]: Simplify 1/2 into 1/2 2.973 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 2.973 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.973 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.973 * [taylor]: Taking taylor expansion of y in x 2.973 * [backup-simplify]: Simplify y into y 2.973 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of y in x 2.974 * [backup-simplify]: Simplify y into y 2.974 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 2.974 * [taylor]: Taking taylor expansion of 1/2 in x 2.974 * [backup-simplify]: Simplify 1/2 into 1/2 2.974 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 2.974 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.974 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.974 * [taylor]: Taking taylor expansion of y in x 2.974 * [backup-simplify]: Simplify y into y 2.974 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.974 * [taylor]: Taking taylor expansion of x in x 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [taylor]: Taking taylor expansion of y in x 2.975 * [backup-simplify]: Simplify y into y 2.975 * [backup-simplify]: Simplify (+ 0 1) into 1 2.975 * [backup-simplify]: Simplify (* 1 y) into y 2.975 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.975 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.975 * [taylor]: Taking taylor expansion of 1/2 in y 2.975 * [backup-simplify]: Simplify 1/2 into 1/2 2.975 * [taylor]: Taking taylor expansion of y in y 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.977 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 2.977 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 2.977 * [taylor]: Taking taylor expansion of 1/2 in y 2.978 * [backup-simplify]: Simplify 1/2 into 1/2 2.978 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (+ 0 0) into 0 2.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 2.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 2.981 * [taylor]: Taking taylor expansion of 0 in y 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1/2 into 1/2 2.982 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.982 * [backup-simplify]: Simplify 1/2 into 1/2 2.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 2.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 2.986 * [taylor]: Taking taylor expansion of 0 in y 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.991 * [taylor]: Taking taylor expansion of 0 in y 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 2.992 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 (- x)) (/ 1 (- y))) 2) (/ 1 (- y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 2.992 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 2.992 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 2.992 * [taylor]: Taking taylor expansion of 1/2 in y 2.992 * [backup-simplify]: Simplify 1/2 into 1/2 2.992 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 2.992 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.992 * [taylor]: Taking taylor expansion of y in y 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (/ 1 1) into 1 2.993 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.993 * [taylor]: Taking taylor expansion of x in y 2.993 * [backup-simplify]: Simplify x into x 2.993 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.993 * [taylor]: Taking taylor expansion of y in y 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 2.993 * [taylor]: Taking taylor expansion of 1/2 in x 2.993 * [backup-simplify]: Simplify 1/2 into 1/2 2.993 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 2.993 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.993 * [taylor]: Taking taylor expansion of y in x 2.993 * [backup-simplify]: Simplify y into y 2.993 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.993 * [taylor]: Taking taylor expansion of x in x 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.994 * [taylor]: Taking taylor expansion of y in x 2.994 * [backup-simplify]: Simplify y into y 2.994 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 2.994 * [taylor]: Taking taylor expansion of 1/2 in x 2.994 * [backup-simplify]: Simplify 1/2 into 1/2 2.994 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 2.994 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.994 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.994 * [taylor]: Taking taylor expansion of y in x 2.994 * [backup-simplify]: Simplify y into y 2.994 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.994 * [taylor]: Taking taylor expansion of x in x 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.995 * [taylor]: Taking taylor expansion of y in x 2.995 * [backup-simplify]: Simplify y into y 2.995 * [backup-simplify]: Simplify (+ 0 1) into 1 2.995 * [backup-simplify]: Simplify (* 1 y) into y 2.995 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.995 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.995 * [taylor]: Taking taylor expansion of 1/2 in y 2.995 * [backup-simplify]: Simplify 1/2 into 1/2 2.995 * [taylor]: Taking taylor expansion of y in y 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.996 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.996 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 2.997 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 2.997 * [taylor]: Taking taylor expansion of 1/2 in y 2.997 * [backup-simplify]: Simplify 1/2 into 1/2 2.997 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (+ 0 0) into 0 2.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 2.999 * [taylor]: Taking taylor expansion of 0 in y 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1/2 into 1/2 2.999 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.999 * [backup-simplify]: Simplify 1/2 into 1/2 2.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (+ 0 0) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 3.001 * [taylor]: Taking taylor expansion of 0 in y 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (+ 0 0) into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 3.005 * [taylor]: Taking taylor expansion of 0 in y 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 3.005 * * * [progress]: simplifying candidates 3.007 * [simplify]: Simplifying: (expm1 (/ (/ (+ x y) 2) y)) (log1p (/ (/ (+ x y) 2) y)) (- (- (log (+ x y)) (log 2)) (log y)) (- (log (/ (+ x y) 2)) (log y)) (log (/ (/ (+ x y) 2) y)) (exp (/ (/ (+ x y) 2) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* 2 2) 2)) (* (* y y) y)) (/ (* (* (/ (+ x y) 2) (/ (+ x y) 2)) (/ (+ x y) 2)) (* (* y y) y)) (* (cbrt (/ (/ (+ x y) 2) y)) (cbrt (/ (/ (+ x y) 2) y))) (cbrt (/ (/ (+ x y) 2) y)) (* (* (/ (/ (+ x y) 2) y) (/ (/ (+ x y) 2) y)) (/ (/ (+ x y) 2) y)) (sqrt (/ (/ (+ x y) 2) y)) (sqrt (/ (/ (+ x y) 2) y)) (- (/ (+ x y) 2)) (- y) (/ (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) 2)) (cbrt y)) (/ (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2))) (sqrt y)) (/ (cbrt (/ (+ x y) 2)) (sqrt y)) (/ (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2))) 1) (/ (cbrt (/ (+ x y) 2)) y) (/ (sqrt (/ (+ x y) 2)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) 2)) (cbrt y)) (/ (sqrt (/ (+ x y) 2)) (sqrt y)) (/ (sqrt (/ (+ x y) 2)) (sqrt y)) (/ (sqrt (/ (+ x y) 2)) 1) (/ (sqrt (/ (+ x y) 2)) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) (cbrt 2)) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2) (cbrt 2))) (sqrt y)) (/ (/ (cbrt (+ x y)) (cbrt 2)) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt (+ x y)) (cbrt 2)) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) (sqrt 2)) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2)) (sqrt y)) (/ (/ (cbrt (+ x y)) (sqrt 2)) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2)) 1) (/ (/ (cbrt (+ x y)) (sqrt 2)) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (sqrt y)) (/ (/ (cbrt (+ x y)) 2) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) 1) (/ (/ (cbrt (+ x y)) 2) y) (/ (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) (cbrt 2)) (cbrt y)) (/ (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2))) (sqrt y)) (/ (/ (sqrt (+ x y)) (cbrt 2)) (sqrt y)) (/ (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (sqrt (+ x y)) (cbrt 2)) y) (/ (/ (sqrt (+ x y)) (sqrt 2)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) (sqrt 2)) (cbrt y)) (/ (/ (sqrt (+ x y)) (sqrt 2)) (sqrt y)) (/ (/ (sqrt (+ x y)) (sqrt 2)) (sqrt y)) (/ (/ (sqrt (+ x y)) (sqrt 2)) 1) (/ (/ (sqrt (+ x y)) (sqrt 2)) y) (/ (/ (sqrt (+ x y)) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2) (cbrt y)) (/ (/ (sqrt (+ x y)) 1) (sqrt y)) (/ (/ (sqrt (+ x y)) 2) (sqrt y)) (/ (/ (sqrt (+ x y)) 1) 1) (/ (/ (sqrt (+ x y)) 2) y) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (cbrt 2)) (cbrt y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt y)) (/ (/ (+ x y) (cbrt 2)) (sqrt y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ (+ x y) (cbrt 2)) y) (/ (/ 1 (sqrt 2)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (sqrt 2)) (cbrt y)) (/ (/ 1 (sqrt 2)) (sqrt y)) (/ (/ (+ x y) (sqrt 2)) (sqrt y)) (/ (/ 1 (sqrt 2)) 1) (/ (/ (+ x y) (sqrt 2)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) (/ (/ 1 1) 1) (/ (/ (+ x y) 2) y) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (cbrt 2)) (cbrt y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt y)) (/ (/ (+ x y) (cbrt 2)) (sqrt y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ (+ x y) (cbrt 2)) y) (/ (/ 1 (sqrt 2)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (sqrt 2)) (cbrt y)) (/ (/ 1 (sqrt 2)) (sqrt y)) (/ (/ (+ x y) (sqrt 2)) (sqrt y)) (/ (/ 1 (sqrt 2)) 1) (/ (/ (+ x y) (sqrt 2)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) (/ (/ 1 1) 1) (/ (/ (+ x y) 2) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) (/ 1 1) (/ (/ (+ x y) 2) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 2) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 2) (sqrt y)) (/ (+ x y) 1) (/ (/ 1 2) y) (/ 1 y) (/ y (/ (+ x y) 2)) (/ (/ (+ x y) 2) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (sqrt y)) (/ (/ (+ x y) 2) 1) (/ y (cbrt (/ (+ x y) 2))) (/ y (sqrt (/ (+ x y) 2))) (/ y (/ (cbrt (+ x y)) (cbrt 2))) (/ y (/ (cbrt (+ x y)) (sqrt 2))) (/ y (/ (cbrt (+ x y)) 2)) (/ y (/ (sqrt (+ x y)) (cbrt 2))) (/ y (/ (sqrt (+ x y)) (sqrt 2))) (/ y (/ (sqrt (+ x y)) 2)) (/ y (/ (+ x y) (cbrt 2))) (/ y (/ (+ x y) (sqrt 2))) (/ y (/ (+ x y) 2)) (/ y (/ (+ x y) (cbrt 2))) (/ y (/ (+ x y) (sqrt 2))) (/ y (/ (+ x y) 2)) (/ y (/ (+ x y) 2)) (/ y (/ 1 2)) (* y 2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 3.009 * * [simplify]: Extracting # 0 : cost 0 3.009 * * [simplify]: Extracting # 1 : cost 0 3.009 * * [simplify]: Extracting # 2 : cost 0 3.009 * * [simplify]: Extracting # 3 : cost 0 3.009 * * [simplify]: Extracting # 4 : cost 0 3.010 * * [simplify]: Extracting # 5 : cost 0 3.010 * * [simplify]: Extracting # 6 : cost 0 3.010 * * [simplify]: iteration 0 : 156 enodes (cost 1277 ) 3.061 * * [simplify]: Extracting # 0 : cost 0 3.062 * * [simplify]: Extracting # 1 : cost 0 3.062 * * [simplify]: Extracting # 2 : cost 0 3.063 * * [simplify]: Extracting # 3 : cost 0 3.063 * * [simplify]: iteration 1 : 352 enodes (cost 1201 ) 3.186 * * [simplify]: Extracting # 0 : cost 0 3.188 * * [simplify]: Extracting # 1 : cost 0 3.189 * * [simplify]: Extracting # 2 : cost 0 3.190 * * [simplify]: Extracting # 3 : cost 0 3.191 * * [simplify]: Extracting # 4 : cost 0 3.192 * * [simplify]: iteration 2 : 890 enodes (cost 1165 ) 3.735 * * [simplify]: Extracting # 0 : cost 0 3.738 * * [simplify]: Extracting # 1 : cost 0 3.740 * * [simplify]: Extracting # 2 : cost 0 3.742 * * [simplify]: Extracting # 3 : cost 0 3.744 * * [simplify]: Extracting # 4 : cost 0 3.746 * * [simplify]: iteration 3 : 2362 enodes (cost 1162 ) 5.129 * * [simplify]: Extracting # 0 : cost 0 5.136 * * [simplify]: Extracting # 1 : cost 0 5.141 * * [simplify]: Extracting # 2 : cost 0 5.146 * * [simplify]: Extracting # 3 : cost 0 5.151 * * [simplify]: Extracting # 4 : cost 0 5.156 * * [simplify]: iteration done: 5000 enodes (cost 1162 ) 5.156 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) 2) y)) (log1p (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (log (/ (/ (+ x y) 2) y)) (sqrt (exp (/ (+ x y) y))) (pow (/ (/ (+ x y) 2) y) 3) (pow (/ (/ (+ x y) 2) y) 3) (* (cbrt (/ (/ (+ x y) 2) y)) (cbrt (/ (/ (+ x y) 2) y))) (cbrt (/ (/ (+ x y) 2) y)) (pow (/ (/ (+ x y) 2) y) 3) (sqrt (/ (/ (+ x y) 2) y)) (sqrt (/ (/ (+ x y) 2) y)) (- (/ (+ x y) 2)) (- y) (/ (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) 2)) (cbrt y)) (/ (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2))) (sqrt y)) (/ (cbrt (/ (+ x y) 2)) (sqrt y)) (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2))) (/ (cbrt (/ (+ x y) 2)) y) (/ (sqrt (/ (+ x y) 2)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) 2)) (cbrt y)) (/ (sqrt (/ (+ x y) 2)) (sqrt y)) (/ (sqrt (/ (+ x y) 2)) (sqrt y)) (sqrt (/ (+ x y) 2)) (/ (sqrt (/ (+ x y) 2)) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) (cbrt 2)) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2) (cbrt 2))) (sqrt y)) (/ (/ (cbrt (+ x y)) (cbrt 2)) (sqrt y)) (* (/ (cbrt (+ x y)) (cbrt 2)) (/ (cbrt (+ x y)) (cbrt 2))) (/ (/ (cbrt (+ x y)) (cbrt 2)) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) (sqrt 2)) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2)) (sqrt y)) (/ (/ (cbrt (+ x y)) (sqrt 2)) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2)) (/ (/ (cbrt (+ x y)) (sqrt 2)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (/ (cbrt (+ x y)) 2) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (/ (cbrt (+ x y)) 2) y) (/ (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) (cbrt 2)) (cbrt y)) (/ (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2))) (sqrt y)) (/ (/ (sqrt (+ x y)) (cbrt 2)) (sqrt y)) (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2))) (/ (/ (sqrt (+ x y)) (cbrt 2)) y) (/ (/ (sqrt (+ x y)) (sqrt 2)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) (sqrt 2)) (cbrt y)) (/ (/ (sqrt (+ x y)) (sqrt 2)) (sqrt y)) (/ (/ (sqrt (+ x y)) (sqrt 2)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt 2)) (/ (/ (sqrt (+ x y)) (sqrt 2)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (/ (sqrt (+ x y)) 2) (sqrt y)) (sqrt (+ x y)) (/ (/ (sqrt (+ x y)) 2) y) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (cbrt 2)) (cbrt y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt y)) (/ (/ (+ x y) (cbrt 2)) (sqrt y)) (/ 1 (* (cbrt 2) (cbrt 2))) (/ (/ (+ x y) (cbrt 2)) y) (/ (/ 1 (sqrt 2)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (sqrt 2)) (cbrt y)) (/ (/ 1 (sqrt 2)) (sqrt y)) (/ (/ (+ x y) (sqrt 2)) (sqrt y)) (/ 1 (sqrt 2)) (/ (/ (+ x y) (sqrt 2)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) 1 (/ (/ (+ x y) 2) y) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (cbrt 2)) (cbrt y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt y)) (/ (/ (+ x y) (cbrt 2)) (sqrt y)) (/ 1 (* (cbrt 2) (cbrt 2))) (/ (/ (+ x y) (cbrt 2)) y) (/ (/ 1 (sqrt 2)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (sqrt 2)) (cbrt y)) (/ (/ 1 (sqrt 2)) (sqrt y)) (/ (/ (+ x y) (sqrt 2)) (sqrt y)) (/ 1 (sqrt 2)) (/ (/ (+ x y) (sqrt 2)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) 1 (/ (/ (+ x y) 2) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) 1 (/ (/ (+ x y) 2) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ 1/2 (cbrt y)) (/ (+ x y) (sqrt y)) (/ 1/2 (sqrt y)) (+ x y) (/ 1/2 y) (/ 1 y) (/ y (/ (+ x y) 2)) (/ (/ (+ x y) 2) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (sqrt y)) (/ (+ x y) 2) (/ y (cbrt (/ (+ x y) 2))) (/ y (sqrt (/ (+ x y) 2))) (/ y (/ (cbrt (+ x y)) (cbrt 2))) (/ y (/ (cbrt (+ x y)) (sqrt 2))) (/ y (/ (cbrt (+ x y)) 2)) (/ y (/ (sqrt (+ x y)) (cbrt 2))) (/ y (/ (sqrt (+ x y)) (sqrt 2))) (/ y (/ (sqrt (+ x y)) 2)) (/ y (/ (+ x y) (cbrt 2))) (/ y (/ (+ x y) (sqrt 2))) (/ y (/ (+ x y) 2)) (/ y (/ (+ x y) (cbrt 2))) (/ y (/ (+ x y) (sqrt 2))) (/ y (/ (+ x y) 2)) (/ y (/ (+ x y) 2)) (/ y 1/2) (/ y 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 5.157 * * * [progress]: adding candidates to table 5.370 * * [progress]: iteration 3 / 4 5.370 * * * [progress]: picking best candidate 5.371 * * * * [pick]: Picked # 5.371 * * * [progress]: localizing error 5.376 * * * [progress]: generating rewritten candidates 5.376 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.377 * * * [progress]: generating series expansions 5.377 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.377 * [backup-simplify]: Simplify (fma 1/2 (/ x y) 1/2) into (fma 1/2 (/ x y) 1/2) 5.377 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in (x y) around 0 5.377 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in y 5.377 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 5.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.377 * [taylor]: Taking taylor expansion of 1/2 in y 5.378 * [backup-simplify]: Simplify 1/2 into 1/2 5.378 * [taylor]: Taking taylor expansion of (/ x y) in y 5.378 * [taylor]: Taking taylor expansion of x in y 5.378 * [backup-simplify]: Simplify x into x 5.378 * [taylor]: Taking taylor expansion of y in y 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [backup-simplify]: Simplify (/ x 1) into x 5.378 * [taylor]: Taking taylor expansion of 1/2 in y 5.378 * [backup-simplify]: Simplify 1/2 into 1/2 5.378 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 5.378 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 5.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.378 * [taylor]: Taking taylor expansion of 1/2 in x 5.378 * [backup-simplify]: Simplify 1/2 into 1/2 5.378 * [taylor]: Taking taylor expansion of (/ x y) in x 5.378 * [taylor]: Taking taylor expansion of x in x 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [taylor]: Taking taylor expansion of y in x 5.378 * [backup-simplify]: Simplify y into y 5.378 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.378 * [taylor]: Taking taylor expansion of 1/2 in x 5.378 * [backup-simplify]: Simplify 1/2 into 1/2 5.378 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 5.378 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 5.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.378 * [taylor]: Taking taylor expansion of 1/2 in x 5.378 * [backup-simplify]: Simplify 1/2 into 1/2 5.378 * [taylor]: Taking taylor expansion of (/ x y) in x 5.378 * [taylor]: Taking taylor expansion of x in x 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [taylor]: Taking taylor expansion of y in x 5.378 * [backup-simplify]: Simplify y into y 5.378 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.378 * [taylor]: Taking taylor expansion of 1/2 in x 5.378 * [backup-simplify]: Simplify 1/2 into 1/2 5.379 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.379 * [taylor]: Taking taylor expansion of 1/2 in y 5.379 * [backup-simplify]: Simplify 1/2 into 1/2 5.379 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 5.379 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 5.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 5.379 * [taylor]: Taking taylor expansion of 1/2 in y 5.379 * [backup-simplify]: Simplify 1/2 into 1/2 5.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.379 * [taylor]: Taking taylor expansion of y in y 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.379 * [backup-simplify]: Simplify (/ 1 1) into 1 5.380 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.380 * [backup-simplify]: Simplify 1/2 into 1/2 5.380 * [backup-simplify]: Simplify 1/2 into 1/2 5.380 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 5.381 * [backup-simplify]: Simplify (+ 0 0) into 0 5.381 * [taylor]: Taking taylor expansion of 0 in y 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.382 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.382 * [backup-simplify]: Simplify (+ 0 0) into 0 5.382 * [taylor]: Taking taylor expansion of 0 in y 5.382 * [backup-simplify]: Simplify 0 into 0 5.383 * [backup-simplify]: Simplify 0 into 0 5.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 5.385 * [backup-simplify]: Simplify (+ 0 0) into 0 5.385 * [taylor]: Taking taylor expansion of 0 in y 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 5.385 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 x) (/ 1 y)) 1/2) into (fma 1/2 (/ y x) 1/2) 5.385 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 5.385 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 5.385 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 5.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.385 * [taylor]: Taking taylor expansion of 1/2 in y 5.385 * [backup-simplify]: Simplify 1/2 into 1/2 5.385 * [taylor]: Taking taylor expansion of (/ y x) in y 5.385 * [taylor]: Taking taylor expansion of y in y 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.385 * [taylor]: Taking taylor expansion of x in y 5.385 * [backup-simplify]: Simplify x into x 5.385 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.385 * [taylor]: Taking taylor expansion of 1/2 in y 5.385 * [backup-simplify]: Simplify 1/2 into 1/2 5.386 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 5.386 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 5.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.386 * [taylor]: Taking taylor expansion of 1/2 in x 5.386 * [backup-simplify]: Simplify 1/2 into 1/2 5.386 * [taylor]: Taking taylor expansion of (/ y x) in x 5.386 * [taylor]: Taking taylor expansion of y in x 5.386 * [backup-simplify]: Simplify y into y 5.386 * [taylor]: Taking taylor expansion of x in x 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ y 1) into y 5.386 * [taylor]: Taking taylor expansion of 1/2 in x 5.386 * [backup-simplify]: Simplify 1/2 into 1/2 5.386 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 5.386 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 5.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.386 * [taylor]: Taking taylor expansion of 1/2 in x 5.386 * [backup-simplify]: Simplify 1/2 into 1/2 5.386 * [taylor]: Taking taylor expansion of (/ y x) in x 5.386 * [taylor]: Taking taylor expansion of y in x 5.386 * [backup-simplify]: Simplify y into y 5.386 * [taylor]: Taking taylor expansion of x in x 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ y 1) into y 5.386 * [taylor]: Taking taylor expansion of 1/2 in x 5.386 * [backup-simplify]: Simplify 1/2 into 1/2 5.386 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 5.386 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 5.386 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 5.386 * [taylor]: Taking taylor expansion of 1/2 in y 5.386 * [backup-simplify]: Simplify 1/2 into 1/2 5.386 * [taylor]: Taking taylor expansion of y in y 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 5.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 5.388 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.388 * [taylor]: Taking taylor expansion of 1/2 in y 5.388 * [backup-simplify]: Simplify 1/2 into 1/2 5.388 * [backup-simplify]: Simplify 1/2 into 1/2 5.388 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.388 * [backup-simplify]: Simplify 1/2 into 1/2 5.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 5.390 * [backup-simplify]: Simplify (+ 0 0) into 0 5.390 * [taylor]: Taking taylor expansion of 0 in y 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.391 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.393 * [backup-simplify]: Simplify (+ 0 0) into 0 5.393 * [taylor]: Taking taylor expansion of 0 in y 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 5.393 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- x)) (/ 1 (- y))) 1/2) into (fma 1/2 (/ y x) 1/2) 5.393 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 5.393 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 5.393 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 5.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.393 * [taylor]: Taking taylor expansion of 1/2 in y 5.393 * [backup-simplify]: Simplify 1/2 into 1/2 5.393 * [taylor]: Taking taylor expansion of (/ y x) in y 5.393 * [taylor]: Taking taylor expansion of y in y 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [taylor]: Taking taylor expansion of x in y 5.393 * [backup-simplify]: Simplify x into x 5.393 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.393 * [taylor]: Taking taylor expansion of 1/2 in y 5.394 * [backup-simplify]: Simplify 1/2 into 1/2 5.394 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 5.394 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 5.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.394 * [taylor]: Taking taylor expansion of 1/2 in x 5.394 * [backup-simplify]: Simplify 1/2 into 1/2 5.394 * [taylor]: Taking taylor expansion of (/ y x) in x 5.394 * [taylor]: Taking taylor expansion of y in x 5.394 * [backup-simplify]: Simplify y into y 5.394 * [taylor]: Taking taylor expansion of x in x 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.394 * [backup-simplify]: Simplify (/ y 1) into y 5.394 * [taylor]: Taking taylor expansion of 1/2 in x 5.394 * [backup-simplify]: Simplify 1/2 into 1/2 5.394 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 5.394 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 5.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.394 * [taylor]: Taking taylor expansion of 1/2 in x 5.394 * [backup-simplify]: Simplify 1/2 into 1/2 5.394 * [taylor]: Taking taylor expansion of (/ y x) in x 5.394 * [taylor]: Taking taylor expansion of y in x 5.394 * [backup-simplify]: Simplify y into y 5.394 * [taylor]: Taking taylor expansion of x in x 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.394 * [backup-simplify]: Simplify (/ y 1) into y 5.394 * [taylor]: Taking taylor expansion of 1/2 in x 5.394 * [backup-simplify]: Simplify 1/2 into 1/2 5.394 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 5.394 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 5.394 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 5.394 * [taylor]: Taking taylor expansion of 1/2 in y 5.395 * [backup-simplify]: Simplify 1/2 into 1/2 5.395 * [taylor]: Taking taylor expansion of y in y 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 5.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 5.397 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.397 * [taylor]: Taking taylor expansion of 1/2 in y 5.397 * [backup-simplify]: Simplify 1/2 into 1/2 5.397 * [backup-simplify]: Simplify 1/2 into 1/2 5.397 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.397 * [backup-simplify]: Simplify 1/2 into 1/2 5.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 5.400 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [taylor]: Taking taylor expansion of 0 in y 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.401 * [backup-simplify]: Simplify 0 into 0 5.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.405 * [backup-simplify]: Simplify (+ 0 0) into 0 5.405 * [taylor]: Taking taylor expansion of 0 in y 5.405 * [backup-simplify]: Simplify 0 into 0 5.405 * [backup-simplify]: Simplify 0 into 0 5.405 * [backup-simplify]: Simplify 0 into 0 5.405 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 5.406 * * * [progress]: simplifying candidates 5.406 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* 1/2 (/ x y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (* (* (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2)) (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 5.407 * * [simplify]: Extracting # 0 : cost 0 5.407 * * [simplify]: Extracting # 1 : cost 0 5.407 * * [simplify]: Extracting # 2 : cost 0 5.407 * * [simplify]: Extracting # 3 : cost 0 5.407 * * [simplify]: Extracting # 4 : cost 0 5.407 * * [simplify]: Extracting # 5 : cost 0 5.407 * * [simplify]: iteration 0 : 16 enodes (cost 110 ) 5.410 * * [simplify]: Extracting # 0 : cost 0 5.410 * * [simplify]: Extracting # 1 : cost 0 5.410 * * [simplify]: Extracting # 2 : cost 0 5.410 * * [simplify]: iteration 1 : 21 enodes (cost 107 ) 5.414 * * [simplify]: Extracting # 0 : cost 0 5.414 * * [simplify]: Extracting # 1 : cost 0 5.414 * * [simplify]: Extracting # 2 : cost 0 5.414 * * [simplify]: Extracting # 3 : cost 0 5.414 * * [simplify]: iteration 2 : 51 enodes (cost 95 ) 5.434 * * [simplify]: Extracting # 0 : cost 0 5.435 * * [simplify]: Extracting # 1 : cost 0 5.435 * * [simplify]: Extracting # 2 : cost 0 5.435 * * [simplify]: Extracting # 3 : cost 0 5.435 * * [simplify]: Extracting # 4 : cost 0 5.435 * * [simplify]: iteration 3 : 182 enodes (cost 95 ) 5.632 * * [simplify]: Extracting # 0 : cost 0 5.633 * * [simplify]: Extracting # 1 : cost 0 5.634 * * [simplify]: Extracting # 2 : cost 0 5.635 * * [simplify]: Extracting # 3 : cost 0 5.636 * * [simplify]: Extracting # 4 : cost 0 5.638 * * [simplify]: Extracting # 5 : cost 0 5.639 * * [simplify]: iteration 4 : 735 enodes (cost 95 ) 7.398 * * [simplify]: Extracting # 0 : cost 0 7.403 * * [simplify]: Extracting # 1 : cost 0 7.408 * * [simplify]: Extracting # 2 : cost 0 7.411 * * [simplify]: Extracting # 3 : cost 0 7.413 * * [simplify]: Extracting # 4 : cost 0 7.416 * * [simplify]: iteration 5 : 3296 enodes (cost 95 ) 9.187 * * [simplify]: Extracting # 0 : cost 0 9.192 * * [simplify]: Extracting # 1 : cost 0 9.196 * * [simplify]: Extracting # 2 : cost 0 9.203 * * [simplify]: Extracting # 3 : cost 0 9.207 * * [simplify]: iteration done: 5000 enodes (cost 95 ) 9.207 * [simplify]: Simplified to: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* x (/ 1/2 y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (pow (fma 1/2 (/ x y) 1/2) 3) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (fma x (/ 1/2 y) 1/2) (fma x (/ 1/2 y) 1/2) (fma x (/ 1/2 y) 1/2) 9.208 * * * [progress]: adding candidates to table 9.258 * [progress]: [Phase 3 of 3] Extracting. 9.258 * * [regime]: Finding splitpoints for: (# #) 9.258 * * * [regime-changes]: Trying 2 branch expressions: (y x) 9.258 * * * * [regimes]: Trying to branch on y from (# #) 9.271 * * * * [regimes]: Trying to branch on x from (# #) 9.285 * * * [regime]: Found split indices: #