19.907 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (sqrt (+ (* x x) 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]: Extracting # 5 : cost 0 0.035 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: iteration done: 6 enodes (cost 6 ) 0.038 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.074 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.083 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.083 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.083 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [backup-simplify]: Simplify x into x 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.083 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.083 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.083 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.084 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [backup-simplify]: Simplify (+ 0 y) into y 0.084 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [backup-simplify]: Simplify (+ 0 y) into y 0.084 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.085 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (sqrt 0) into 0 0.086 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (+ 1 0) into 1 0.087 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.087 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.087 * [taylor]: Taking taylor expansion of 1/2 in y 0.087 * [backup-simplify]: Simplify 1/2 into 1/2 0.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [backup-simplify]: Simplify (sqrt 0) into 0 0.088 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.089 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.090 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.091 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.092 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.092 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.092 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [backup-simplify]: Simplify x into x 0.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ 0 1) into 1 0.093 * [backup-simplify]: Simplify (sqrt 0) into 0 0.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (sqrt 1) into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [backup-simplify]: Simplify y into y 0.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.098 * [backup-simplify]: Simplify (+ 1 0) into 1 0.098 * [backup-simplify]: Simplify (sqrt 1) into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.104 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.104 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.104 * [taylor]: Taking taylor expansion of 1/2 in y 0.104 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.105 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.105 * [backup-simplify]: Simplify 1/2 into 1/2 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.113 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of -1/8 in y 0.113 * [backup-simplify]: Simplify -1/8 into -1/8 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.115 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.115 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [backup-simplify]: Simplify x into x 0.115 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify (- 1) into -1 0.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.116 * [backup-simplify]: Simplify (sqrt 0) into 0 0.117 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.117 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [backup-simplify]: Simplify (sqrt 1) into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (sqrt 1) into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.123 * [taylor]: Taking taylor expansion of 1 in y 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.124 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.125 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.125 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.125 * [taylor]: Taking taylor expansion of -1/2 in y 0.125 * [backup-simplify]: Simplify -1/2 into -1/2 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.125 * [backup-simplify]: Simplify -1/2 into -1/2 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.130 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of -1/8 in y 0.130 * [backup-simplify]: Simplify -1/8 into -1/8 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.132 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.132 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.132 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (+ 0 y) into y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) 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 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [taylor]: Taking taylor expansion of 1 in y 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.134 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.134 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [backup-simplify]: Simplify x into x 0.135 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.135 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.141 * [backup-simplify]: Simplify (+ 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 (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.143 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.143 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [backup-simplify]: Simplify x into x 0.143 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.143 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [backup-simplify]: Simplify y into y 0.149 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [backup-simplify]: Simplify y into y 0.149 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.152 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (- 1) into -1 0.153 * [backup-simplify]: Simplify -1 into -1 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.157 * * * [progress]: simplifying candidates 0.158 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.159 * * [simplify]: Extracting # 0 : cost 0 0.159 * * [simplify]: Extracting # 1 : cost 0 0.159 * * [simplify]: Extracting # 2 : cost 0 0.159 * * [simplify]: Extracting # 3 : cost 0 0.159 * * [simplify]: Extracting # 4 : cost 0 0.159 * * [simplify]: Extracting # 5 : cost 0 0.159 * * [simplify]: Extracting # 6 : cost 0 0.159 * * [simplify]: Extracting # 7 : cost 0 0.159 * * [simplify]: Extracting # 8 : cost 0 0.159 * * [simplify]: Extracting # 9 : cost 0 0.159 * * [simplify]: Extracting # 10 : cost 0 0.160 * * [simplify]: iteration 0 : 59 enodes (cost 319 ) 0.173 * * [simplify]: Extracting # 0 : cost 0 0.174 * * [simplify]: Extracting # 1 : cost 0 0.174 * * [simplify]: Extracting # 2 : cost 0 0.174 * * [simplify]: Extracting # 3 : cost 0 0.175 * * [simplify]: Extracting # 4 : cost 0 0.175 * * [simplify]: iteration 1 : 140 enodes (cost 294 ) 0.225 * * [simplify]: Extracting # 0 : cost 0 0.225 * * [simplify]: Extracting # 1 : cost 0 0.225 * * [simplify]: Extracting # 2 : cost 0 0.226 * * [simplify]: Extracting # 3 : cost 0 0.226 * * [simplify]: Extracting # 4 : cost 0 0.226 * * [simplify]: iteration 2 : 347 enodes (cost 258 ) 0.391 * * [simplify]: Extracting # 0 : cost 0 0.392 * * [simplify]: Extracting # 1 : cost 0 0.393 * * [simplify]: Extracting # 2 : cost 0 0.393 * * [simplify]: Extracting # 3 : cost 0 0.394 * * [simplify]: Extracting # 4 : cost 0 0.394 * * [simplify]: iteration 3 : 826 enodes (cost 255 ) 1.018 * * [simplify]: Extracting # 0 : cost 0 1.020 * * [simplify]: Extracting # 1 : cost 0 1.022 * * [simplify]: Extracting # 2 : cost 0 1.024 * * [simplify]: Extracting # 3 : cost 0 1.027 * * [simplify]: Extracting # 4 : cost 0 1.029 * * [simplify]: iteration 4 : 2004 enodes (cost 254 ) 2.783 * * [simplify]: Extracting # 0 : cost 0 2.787 * * [simplify]: Extracting # 1 : cost 0 2.790 * * [simplify]: Extracting # 2 : cost 0 2.793 * * [simplify]: Extracting # 3 : cost 0 2.796 * * [simplify]: Extracting # 4 : cost 0 2.799 * * [simplify]: Extracting # 5 : cost 0 2.807 * * [simplify]: iteration 5 : 4212 enodes (cost 254 ) 4.449 * * [simplify]: Extracting # 0 : cost 0 4.453 * * [simplify]: Extracting # 1 : cost 0 4.458 * * [simplify]: Extracting # 2 : cost 0 4.462 * * [simplify]: Extracting # 3 : cost 0 4.466 * * [simplify]: Extracting # 4 : cost 0 4.470 * * [simplify]: iteration done: 5000 enodes (cost 254 ) 4.470 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ y (* x x))) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ y (* x x)) 3) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (pow y 3) (pow x 6)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 4.470 * * * [progress]: adding candidates to table 4.588 * * [progress]: iteration 2 / 4 4.588 * * * [progress]: picking best candidate 4.591 * * * * [pick]: Picked # 4.591 * * * [progress]: localizing error 4.599 * * * [progress]: generating rewritten candidates 4.600 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.618 * * * [progress]: generating series expansions 4.618 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.618 * [backup-simplify]: Simplify (- (* (/ y x) -1/2) x) into (- (+ x (* 1/2 (/ y x)))) 4.618 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 4.618 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 4.618 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 4.618 * [taylor]: Taking taylor expansion of x in x 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.618 * [taylor]: Taking taylor expansion of 1/2 in x 4.618 * [backup-simplify]: Simplify 1/2 into 1/2 4.618 * [taylor]: Taking taylor expansion of (/ y x) in x 4.618 * [taylor]: Taking taylor expansion of y in x 4.619 * [backup-simplify]: Simplify y into y 4.619 * [taylor]: Taking taylor expansion of x in x 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 1 into 1 4.619 * [backup-simplify]: Simplify (/ y 1) into y 4.619 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 4.619 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 4.619 * [taylor]: Taking taylor expansion of x in y 4.619 * [backup-simplify]: Simplify x into x 4.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.619 * [taylor]: Taking taylor expansion of 1/2 in y 4.619 * [backup-simplify]: Simplify 1/2 into 1/2 4.619 * [taylor]: Taking taylor expansion of (/ y x) in y 4.619 * [taylor]: Taking taylor expansion of y in y 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 1 into 1 4.619 * [taylor]: Taking taylor expansion of x in y 4.619 * [backup-simplify]: Simplify x into x 4.619 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.619 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 4.619 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 4.619 * [taylor]: Taking taylor expansion of x in y 4.619 * [backup-simplify]: Simplify x into x 4.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.619 * [taylor]: Taking taylor expansion of 1/2 in y 4.619 * [backup-simplify]: Simplify 1/2 into 1/2 4.619 * [taylor]: Taking taylor expansion of (/ y x) in y 4.619 * [taylor]: Taking taylor expansion of y in y 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 1 into 1 4.619 * [taylor]: Taking taylor expansion of x in y 4.619 * [backup-simplify]: Simplify x into x 4.619 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.620 * [backup-simplify]: Simplify (+ x 0) into x 4.620 * [backup-simplify]: Simplify (- x) into (- x) 4.620 * [taylor]: Taking taylor expansion of (- x) in x 4.620 * [taylor]: Taking taylor expansion of x in x 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 1 into 1 4.620 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 4.620 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x)) 4.620 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x))) 4.620 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 4.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 4.620 * [taylor]: Taking taylor expansion of 1/2 in x 4.620 * [backup-simplify]: Simplify 1/2 into 1/2 4.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.620 * [taylor]: Taking taylor expansion of x in x 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 1 into 1 4.621 * [backup-simplify]: Simplify (/ 1 1) into 1 4.621 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.622 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.622 * [backup-simplify]: Simplify -1/2 into -1/2 4.622 * [backup-simplify]: Simplify (- 0) into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 4.623 * [backup-simplify]: Simplify (+ 0 0) into 0 4.623 * [backup-simplify]: Simplify (- 0) into 0 4.623 * [taylor]: Taking taylor expansion of 0 in x 4.623 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.625 * [backup-simplify]: Simplify (- 0) into 0 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify (- 1) into -1 4.625 * [backup-simplify]: Simplify -1 into -1 4.625 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.626 * [backup-simplify]: Simplify (+ 0 0) into 0 4.627 * [backup-simplify]: Simplify (- 0) into 0 4.627 * [taylor]: Taking taylor expansion of 0 in x 4.627 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.629 * [backup-simplify]: Simplify (- 0) into 0 4.629 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify (- 0) into 0 4.629 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.631 * [backup-simplify]: Simplify (+ 0 0) into 0 4.631 * [backup-simplify]: Simplify (- 0) into 0 4.631 * [taylor]: Taking taylor expansion of 0 in x 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.633 * [backup-simplify]: Simplify (- 0) into 0 4.633 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x)))) 4.634 * [backup-simplify]: Simplify (- (* (/ (/ 1 y) (/ 1 x)) -1/2) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 4.634 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 4.634 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 4.634 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 4.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.634 * [taylor]: Taking taylor expansion of 1/2 in x 4.634 * [backup-simplify]: Simplify 1/2 into 1/2 4.634 * [taylor]: Taking taylor expansion of (/ x y) in x 4.634 * [taylor]: Taking taylor expansion of x in x 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 1 into 1 4.634 * [taylor]: Taking taylor expansion of y in x 4.634 * [backup-simplify]: Simplify y into y 4.634 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.634 * [taylor]: Taking taylor expansion of x in x 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 1 into 1 4.635 * [backup-simplify]: Simplify (/ 1 1) into 1 4.635 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 4.635 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 4.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.635 * [taylor]: Taking taylor expansion of 1/2 in y 4.635 * [backup-simplify]: Simplify 1/2 into 1/2 4.635 * [taylor]: Taking taylor expansion of (/ x y) in y 4.635 * [taylor]: Taking taylor expansion of x in y 4.635 * [backup-simplify]: Simplify x into x 4.635 * [taylor]: Taking taylor expansion of y in y 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.635 * [backup-simplify]: Simplify (/ x 1) into x 4.635 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.635 * [taylor]: Taking taylor expansion of x in y 4.635 * [backup-simplify]: Simplify x into x 4.635 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.635 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 4.635 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 4.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.635 * [taylor]: Taking taylor expansion of 1/2 in y 4.635 * [backup-simplify]: Simplify 1/2 into 1/2 4.635 * [taylor]: Taking taylor expansion of (/ x y) in y 4.635 * [taylor]: Taking taylor expansion of x in y 4.635 * [backup-simplify]: Simplify x into x 4.635 * [taylor]: Taking taylor expansion of y in y 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.636 * [backup-simplify]: Simplify (/ x 1) into x 4.636 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.636 * [taylor]: Taking taylor expansion of x in y 4.636 * [backup-simplify]: Simplify x into x 4.636 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.636 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.636 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 4.636 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 4.636 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 4.636 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.636 * [taylor]: Taking taylor expansion of 1/2 in x 4.636 * [backup-simplify]: Simplify 1/2 into 1/2 4.636 * [taylor]: Taking taylor expansion of x in x 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.637 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.637 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 4.638 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.638 * [taylor]: Taking taylor expansion of x in x 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 1 into 1 4.638 * [backup-simplify]: Simplify (/ 1 1) into 1 4.638 * [backup-simplify]: Simplify (- 1) into -1 4.638 * [backup-simplify]: Simplify -1 into -1 4.639 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.639 * [backup-simplify]: Simplify (- 0) into 0 4.639 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.641 * [backup-simplify]: Simplify (+ 0 0) into 0 4.642 * [backup-simplify]: Simplify (- 0) into 0 4.642 * [taylor]: Taking taylor expansion of 0 in x 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.643 * [backup-simplify]: Simplify (- 0) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.644 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.644 * [backup-simplify]: Simplify -1/2 into -1/2 4.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.646 * [backup-simplify]: Simplify (+ 0 0) into 0 4.647 * [backup-simplify]: Simplify (- 0) into 0 4.647 * [taylor]: Taking taylor expansion of 0 in x 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.647 * [backup-simplify]: Simplify (- 0) into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.648 * [backup-simplify]: Simplify (- 0) into 0 4.648 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.651 * [backup-simplify]: Simplify (+ 0 0) into 0 4.651 * [backup-simplify]: Simplify (- 0) into 0 4.651 * [taylor]: Taking taylor expansion of 0 in x 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (- 0) into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x)))) 4.652 * [backup-simplify]: Simplify (- (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 4.652 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 4.652 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 4.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.652 * [taylor]: Taking taylor expansion of x in x 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify (/ 1 1) into 1 4.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.653 * [taylor]: Taking taylor expansion of 1/2 in x 4.653 * [backup-simplify]: Simplify 1/2 into 1/2 4.653 * [taylor]: Taking taylor expansion of (/ x y) in x 4.653 * [taylor]: Taking taylor expansion of x in x 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 1 into 1 4.653 * [taylor]: Taking taylor expansion of y in x 4.653 * [backup-simplify]: Simplify y into y 4.653 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.653 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 4.653 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.653 * [taylor]: Taking taylor expansion of x in y 4.653 * [backup-simplify]: Simplify x into x 4.653 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.653 * [taylor]: Taking taylor expansion of 1/2 in y 4.653 * [backup-simplify]: Simplify 1/2 into 1/2 4.653 * [taylor]: Taking taylor expansion of (/ x y) in y 4.653 * [taylor]: Taking taylor expansion of x in y 4.653 * [backup-simplify]: Simplify x into x 4.653 * [taylor]: Taking taylor expansion of y in y 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify (/ x 1) into x 4.653 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 4.653 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.653 * [taylor]: Taking taylor expansion of x in y 4.653 * [backup-simplify]: Simplify x into x 4.653 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.653 * [taylor]: Taking taylor expansion of 1/2 in y 4.653 * [backup-simplify]: Simplify 1/2 into 1/2 4.653 * [taylor]: Taking taylor expansion of (/ x y) in y 4.653 * [taylor]: Taking taylor expansion of x in y 4.653 * [backup-simplify]: Simplify x into x 4.653 * [taylor]: Taking taylor expansion of y in y 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify (/ x 1) into x 4.653 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.653 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 4.653 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x)) 4.653 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 4.654 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.654 * [taylor]: Taking taylor expansion of 1/2 in x 4.654 * [backup-simplify]: Simplify 1/2 into 1/2 4.654 * [taylor]: Taking taylor expansion of x in x 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 1 into 1 4.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.655 * [backup-simplify]: Simplify (- 0) into 0 4.655 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 4.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.655 * [taylor]: Taking taylor expansion of x in x 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (/ 1 1) into 1 4.655 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.655 * [backup-simplify]: Simplify (- 0) into 0 4.655 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.657 * [backup-simplify]: Simplify (- 0) into 0 4.657 * [backup-simplify]: Simplify (+ 0 0) into 0 4.657 * [taylor]: Taking taylor expansion of 0 in x 4.657 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.658 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.658 * [backup-simplify]: Simplify -1/2 into -1/2 4.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.660 * [backup-simplify]: Simplify (- 0) into 0 4.661 * [backup-simplify]: Simplify (+ 0 0) into 0 4.661 * [taylor]: Taking taylor expansion of 0 in x 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.662 * [backup-simplify]: Simplify (- 0) into 0 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.665 * [backup-simplify]: Simplify (- 0) into 0 4.665 * [backup-simplify]: Simplify (+ 0 0) into 0 4.665 * [taylor]: Taking taylor expansion of 0 in x 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x)))) 4.669 * * * [progress]: simplifying candidates 4.670 * [simplify]: Simplifying: (/ (exp (* (/ y x) -1/2)) (exp x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (* (* (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x)) (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (+ (* x x) (* (* (/ y x) -1/2) x))) (- x) (- (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* x x)) (+ (* (/ y x) -1/2) x) (- x) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) 4.670 * * [simplify]: Extracting # 0 : cost 0 4.670 * * [simplify]: Extracting # 1 : cost 0 4.670 * * [simplify]: Extracting # 2 : cost 0 4.670 * * [simplify]: Extracting # 3 : cost 0 4.670 * * [simplify]: Extracting # 4 : cost 0 4.670 * * [simplify]: Extracting # 5 : cost 0 4.670 * * [simplify]: Extracting # 6 : cost 0 4.670 * * [simplify]: Extracting # 7 : cost 0 4.670 * * [simplify]: iteration 0 : 32 enodes (cost 173 ) 4.681 * * [simplify]: Extracting # 0 : cost 0 4.681 * * [simplify]: Extracting # 1 : cost 0 4.681 * * [simplify]: Extracting # 2 : cost 0 4.681 * * [simplify]: Extracting # 3 : cost 0 4.681 * * [simplify]: iteration 1 : 82 enodes (cost 166 ) 4.715 * * [simplify]: Extracting # 0 : cost 0 4.716 * * [simplify]: Extracting # 1 : cost 0 4.716 * * [simplify]: Extracting # 2 : cost 0 4.716 * * [simplify]: Extracting # 3 : cost 0 4.717 * * [simplify]: Extracting # 4 : cost 0 4.717 * * [simplify]: iteration 2 : 227 enodes (cost 149 ) 4.841 * * [simplify]: Extracting # 0 : cost 0 4.842 * * [simplify]: Extracting # 1 : cost 0 4.842 * * [simplify]: Extracting # 2 : cost 0 4.843 * * [simplify]: Extracting # 3 : cost 0 4.844 * * [simplify]: Extracting # 4 : cost 0 4.845 * * [simplify]: Extracting # 5 : cost 0 4.846 * * [simplify]: Extracting # 6 : cost 0 4.846 * * [simplify]: iteration 3 : 841 enodes (cost 147 ) 6.011 * * [simplify]: Extracting # 0 : cost 0 6.017 * * [simplify]: Extracting # 1 : cost 0 6.020 * * [simplify]: Extracting # 2 : cost 0 6.024 * * [simplify]: Extracting # 3 : cost 0 6.027 * * [simplify]: Extracting # 4 : cost 0 6.030 * * [simplify]: iteration 4 : 3605 enodes (cost 147 ) 7.499 * * [simplify]: Extracting # 0 : cost 0 7.504 * * [simplify]: Extracting # 1 : cost 0 7.511 * * [simplify]: Extracting # 2 : cost 0 7.519 * * [simplify]: iteration done: 5000 enodes (cost 147 ) 7.519 * [simplify]: Simplified to: (exp (- (* (/ y x) -1/2) x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (pow (- (* (/ y x) -1/2) x) 3) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* (+ (* (/ y x) -1/2) x) (* (/ y x) -1/2)) (* x x)) (- x) (- (* (* (/ y x) (/ y x)) 1/4) (* x x)) (+ (* (/ y x) -1/2) x) (- x) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) 7.519 * * * [progress]: adding candidates to table 7.560 * * [progress]: iteration 3 / 4 7.560 * * * [progress]: picking best candidate 7.562 * * * * [pick]: Picked # 7.562 * * * [progress]: localizing error 7.571 * * * [progress]: generating rewritten candidates 7.571 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 7.581 * * * [progress]: generating series expansions 7.581 * * * * [progress]: [ 1 / 1 ] generating series at (2) 7.581 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 7.581 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 7.581 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 7.581 * [taylor]: Taking taylor expansion of x in y 7.581 * [backup-simplify]: Simplify x into x 7.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 7.581 * [taylor]: Taking taylor expansion of 1/2 in y 7.581 * [backup-simplify]: Simplify 1/2 into 1/2 7.581 * [taylor]: Taking taylor expansion of (/ y x) in y 7.581 * [taylor]: Taking taylor expansion of y in y 7.581 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify 1 into 1 7.581 * [taylor]: Taking taylor expansion of x in y 7.581 * [backup-simplify]: Simplify x into x 7.581 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.581 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 7.581 * [taylor]: Taking taylor expansion of x in x 7.581 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify 1 into 1 7.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 7.582 * [taylor]: Taking taylor expansion of 1/2 in x 7.582 * [backup-simplify]: Simplify 1/2 into 1/2 7.582 * [taylor]: Taking taylor expansion of (/ y x) in x 7.582 * [taylor]: Taking taylor expansion of y in x 7.582 * [backup-simplify]: Simplify y into y 7.582 * [taylor]: Taking taylor expansion of x in x 7.582 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify 1 into 1 7.582 * [backup-simplify]: Simplify (/ y 1) into y 7.582 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 7.582 * [taylor]: Taking taylor expansion of x in x 7.582 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify 1 into 1 7.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 7.582 * [taylor]: Taking taylor expansion of 1/2 in x 7.582 * [backup-simplify]: Simplify 1/2 into 1/2 7.582 * [taylor]: Taking taylor expansion of (/ y x) in x 7.582 * [taylor]: Taking taylor expansion of y in x 7.582 * [backup-simplify]: Simplify y into y 7.582 * [taylor]: Taking taylor expansion of x in x 7.582 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify 1 into 1 7.582 * [backup-simplify]: Simplify (/ y 1) into y 7.582 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 7.582 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 7.582 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 7.582 * [taylor]: Taking taylor expansion of 1/2 in y 7.582 * [backup-simplify]: Simplify 1/2 into 1/2 7.582 * [taylor]: Taking taylor expansion of y in y 7.582 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.583 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 7.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 7.585 * [backup-simplify]: Simplify (+ 0 0) into 0 7.585 * [taylor]: Taking taylor expansion of 0 in y 7.585 * [backup-simplify]: Simplify 0 into 0 7.585 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.586 * [backup-simplify]: Simplify 1/2 into 1/2 7.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 7.588 * [backup-simplify]: Simplify (+ 1 0) into 1 7.588 * [taylor]: Taking taylor expansion of 1 in y 7.588 * [backup-simplify]: Simplify 1 into 1 7.588 * [backup-simplify]: Simplify 1 into 1 7.588 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.592 * [backup-simplify]: Simplify (+ 0 0) into 0 7.592 * [taylor]: Taking taylor expansion of 0 in y 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 7.593 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 7.593 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 7.593 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 7.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.593 * [taylor]: Taking taylor expansion of 1/2 in y 7.593 * [backup-simplify]: Simplify 1/2 into 1/2 7.593 * [taylor]: Taking taylor expansion of (/ x y) in y 7.593 * [taylor]: Taking taylor expansion of x in y 7.593 * [backup-simplify]: Simplify x into x 7.593 * [taylor]: Taking taylor expansion of y in y 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.594 * [backup-simplify]: Simplify (/ x 1) into x 7.594 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.594 * [taylor]: Taking taylor expansion of x in y 7.594 * [backup-simplify]: Simplify x into x 7.594 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.594 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 7.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 7.594 * [taylor]: Taking taylor expansion of 1/2 in x 7.594 * [backup-simplify]: Simplify 1/2 into 1/2 7.594 * [taylor]: Taking taylor expansion of (/ x y) in x 7.594 * [taylor]: Taking taylor expansion of x in x 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.594 * [taylor]: Taking taylor expansion of y in x 7.594 * [backup-simplify]: Simplify y into y 7.594 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.594 * [taylor]: Taking taylor expansion of x in x 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.594 * [backup-simplify]: Simplify (/ 1 1) into 1 7.594 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 7.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 7.595 * [taylor]: Taking taylor expansion of 1/2 in x 7.595 * [backup-simplify]: Simplify 1/2 into 1/2 7.595 * [taylor]: Taking taylor expansion of (/ x y) in x 7.595 * [taylor]: Taking taylor expansion of x in x 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.595 * [taylor]: Taking taylor expansion of y in x 7.595 * [backup-simplify]: Simplify y into y 7.595 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.595 * [taylor]: Taking taylor expansion of x in x 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.595 * [backup-simplify]: Simplify (/ 1 1) into 1 7.596 * [backup-simplify]: Simplify (+ 0 1) into 1 7.596 * [taylor]: Taking taylor expansion of 1 in y 7.596 * [backup-simplify]: Simplify 1 into 1 7.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.597 * [backup-simplify]: Simplify (+ 0 0) into 0 7.597 * [taylor]: Taking taylor expansion of 0 in y 7.597 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify 1 into 1 7.597 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 7.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.598 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 7.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 7.598 * [taylor]: Taking taylor expansion of 1/2 in y 7.598 * [backup-simplify]: Simplify 1/2 into 1/2 7.598 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.598 * [taylor]: Taking taylor expansion of y in y 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify (/ 1 1) into 1 7.599 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.599 * [backup-simplify]: Simplify 1/2 into 1/2 7.599 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 7.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.601 * [backup-simplify]: Simplify (+ 0 0) into 0 7.601 * [taylor]: Taking taylor expansion of 0 in y 7.601 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 7.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.604 * [backup-simplify]: Simplify (+ 0 0) into 0 7.604 * [taylor]: Taking taylor expansion of 0 in y 7.604 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 7.605 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 7.605 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 7.605 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 7.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.605 * [taylor]: Taking taylor expansion of 1/2 in y 7.605 * [backup-simplify]: Simplify 1/2 into 1/2 7.605 * [taylor]: Taking taylor expansion of (/ x y) in y 7.605 * [taylor]: Taking taylor expansion of x in y 7.605 * [backup-simplify]: Simplify x into x 7.605 * [taylor]: Taking taylor expansion of y in y 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 1 into 1 7.606 * [backup-simplify]: Simplify (/ x 1) into x 7.606 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.606 * [taylor]: Taking taylor expansion of x in y 7.606 * [backup-simplify]: Simplify x into x 7.606 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.606 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 7.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 7.606 * [taylor]: Taking taylor expansion of 1/2 in x 7.606 * [backup-simplify]: Simplify 1/2 into 1/2 7.606 * [taylor]: Taking taylor expansion of (/ x y) in x 7.606 * [taylor]: Taking taylor expansion of x in x 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 1 into 1 7.606 * [taylor]: Taking taylor expansion of y in x 7.606 * [backup-simplify]: Simplify y into y 7.606 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.606 * [taylor]: Taking taylor expansion of x in x 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 1 into 1 7.606 * [backup-simplify]: Simplify (/ 1 1) into 1 7.606 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 7.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 7.607 * [taylor]: Taking taylor expansion of 1/2 in x 7.607 * [backup-simplify]: Simplify 1/2 into 1/2 7.607 * [taylor]: Taking taylor expansion of (/ x y) in x 7.607 * [taylor]: Taking taylor expansion of x in x 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 1 into 1 7.607 * [taylor]: Taking taylor expansion of y in x 7.607 * [backup-simplify]: Simplify y into y 7.607 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.607 * [taylor]: Taking taylor expansion of x in x 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 1 into 1 7.607 * [backup-simplify]: Simplify (/ 1 1) into 1 7.608 * [backup-simplify]: Simplify (- 1) into -1 7.608 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.608 * [taylor]: Taking taylor expansion of -1 in y 7.608 * [backup-simplify]: Simplify -1 into -1 7.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.609 * [backup-simplify]: Simplify (- 0) into 0 7.609 * [backup-simplify]: Simplify (+ 0 0) into 0 7.609 * [taylor]: Taking taylor expansion of 0 in y 7.609 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify -1 into -1 7.610 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 7.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.611 * [backup-simplify]: Simplify (- 0) into 0 7.611 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 7.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 7.611 * [taylor]: Taking taylor expansion of 1/2 in y 7.611 * [backup-simplify]: Simplify 1/2 into 1/2 7.611 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.611 * [taylor]: Taking taylor expansion of y in y 7.611 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify 1 into 1 7.611 * [backup-simplify]: Simplify (/ 1 1) into 1 7.612 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.612 * [backup-simplify]: Simplify 1/2 into 1/2 7.612 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 7.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.613 * [backup-simplify]: Simplify (- 0) into 0 7.614 * [backup-simplify]: Simplify (+ 0 0) into 0 7.614 * [taylor]: Taking taylor expansion of 0 in y 7.614 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 7.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.617 * [backup-simplify]: Simplify (- 0) into 0 7.618 * [backup-simplify]: Simplify (+ 0 0) into 0 7.618 * [taylor]: Taking taylor expansion of 0 in y 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 7.618 * * * [progress]: simplifying candidates 7.619 * [simplify]: Simplifying: (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 7.619 * * [simplify]: Extracting # 0 : cost 0 7.619 * * [simplify]: Extracting # 1 : cost 0 7.619 * * [simplify]: Extracting # 2 : cost 0 7.619 * * [simplify]: Extracting # 3 : cost 0 7.620 * * [simplify]: Extracting # 4 : cost 0 7.620 * * [simplify]: Extracting # 5 : cost 0 7.620 * * [simplify]: Extracting # 6 : cost 0 7.620 * * [simplify]: iteration 0 : 27 enodes (cost 166 ) 7.633 * * [simplify]: Extracting # 0 : cost 0 7.633 * * [simplify]: Extracting # 1 : cost 0 7.633 * * [simplify]: Extracting # 2 : cost 0 7.633 * * [simplify]: Extracting # 3 : cost 0 7.633 * * [simplify]: iteration 1 : 86 enodes (cost 157 ) 7.668 * * [simplify]: Extracting # 0 : cost 0 7.669 * * [simplify]: Extracting # 1 : cost 0 7.669 * * [simplify]: Extracting # 2 : cost 0 7.669 * * [simplify]: Extracting # 3 : cost 0 7.669 * * [simplify]: Extracting # 4 : cost 0 7.670 * * [simplify]: Extracting # 5 : cost 0 7.670 * * [simplify]: iteration 2 : 294 enodes (cost 143 ) 7.868 * * [simplify]: Extracting # 0 : cost 0 7.873 * * [simplify]: Extracting # 1 : cost 0 7.875 * * [simplify]: Extracting # 2 : cost 0 7.876 * * [simplify]: Extracting # 3 : cost 0 7.877 * * [simplify]: Extracting # 4 : cost 0 7.879 * * [simplify]: iteration 3 : 964 enodes (cost 143 ) 8.783 * * [simplify]: Extracting # 0 : cost 0 8.790 * * [simplify]: Extracting # 1 : cost 0 8.793 * * [simplify]: Extracting # 2 : cost 0 8.796 * * [simplify]: Extracting # 3 : cost 0 8.798 * * [simplify]: Extracting # 4 : cost 0 8.801 * * [simplify]: iteration 4 : 3062 enodes (cost 143 ) 10.334 * * [simplify]: Extracting # 0 : cost 0 10.342 * * [simplify]: Extracting # 1 : cost 0 10.352 * * [simplify]: Extracting # 2 : cost 0 10.357 * * [simplify]: Extracting # 3 : cost 0 10.362 * * [simplify]: Extracting # 4 : cost 0 10.366 * * [simplify]: iteration done: 5000 enodes (cost 143 ) 10.367 * [simplify]: Simplified to: (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x))) (- (* x x) (* 1/4 (* (/ y x) (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 10.367 * * * [progress]: adding candidates to table 10.389 * [progress]: [Phase 3 of 3] Extracting. 10.389 * * [regime]: Finding splitpoints for: (# # #) 10.389 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 10.389 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 10.407 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 10.424 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 10.450 * * * * [regimes]: Trying to branch on y from (# # #) 10.494 * * * * [regimes]: Trying to branch on x from (# # #) 10.520 * * * [regime]: Found split indices: #