25.354 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: Extracting # 1 : cost 0 0.028 * * [simplify]: Extracting # 2 : cost 0 0.028 * * [simplify]: Extracting # 3 : cost 0 0.028 * * [simplify]: Extracting # 4 : cost 0 0.028 * * [simplify]: Extracting # 5 : cost 0 0.028 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: iteration done: 6 enodes (cost 6 ) 0.031 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.082 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.082 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.082 * [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) 0.085 * [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 (+ (pow x 2) y)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.085 * [backup-simplify]: Simplify (+ 0 y) into y 0.085 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.086 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (sqrt 0) into 0 0.088 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.089 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.089 * [taylor]: Taking taylor expansion of 1/2 in y 0.089 * [backup-simplify]: Simplify 1/2 into 1/2 0.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (sqrt 0) into 0 0.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.092 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.093 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.093 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.096 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.096 * [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)))))) 0.097 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.097 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [backup-simplify]: Simplify x into x 0.097 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (+ 0 1) into 1 0.098 * [backup-simplify]: Simplify (sqrt 0) into 0 0.100 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (sqrt 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (sqrt 1) into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.110 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.110 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.110 * [taylor]: Taking taylor expansion of 1/2 in y 0.110 * [backup-simplify]: Simplify 1/2 into 1/2 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.111 * [backup-simplify]: Simplify 1/2 into 1/2 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.118 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of -1/8 in y 0.118 * [backup-simplify]: Simplify -1/8 into -1/8 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.121 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.121 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.121 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [backup-simplify]: Simplify x into x 0.121 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (- 1) into -1 0.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.123 * [backup-simplify]: Simplify (sqrt 0) into 0 0.124 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.124 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.124 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [backup-simplify]: Simplify (sqrt 1) into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.128 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.129 * [backup-simplify]: Simplify (+ 1 0) into 1 0.129 * [backup-simplify]: Simplify (sqrt 1) into 1 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.132 * [taylor]: Taking taylor expansion of 1 in y 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.134 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.135 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.135 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.135 * [taylor]: Taking taylor expansion of -1/2 in y 0.135 * [backup-simplify]: Simplify -1/2 into -1/2 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 (/ -1/2 1) into -1/2 0.135 * [backup-simplify]: Simplify -1/2 into -1/2 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 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 0) (* 0 1))))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.143 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of -1/8 in y 0.143 * [backup-simplify]: Simplify -1/8 into -1/8 0.143 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.146 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.146 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.146 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [backup-simplify]: Simplify x into x 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [backup-simplify]: Simplify (+ 0 y) into y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.150 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.150 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [backup-simplify]: Simplify x into x 0.150 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.150 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 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 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [taylor]: Taking taylor expansion of 1 in y 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.163 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.163 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [backup-simplify]: Simplify x into x 0.163 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.163 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [backup-simplify]: Simplify y into y 0.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [taylor]: Taking taylor expansion of 1 in y 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.169 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (- 1) into -1 0.170 * [backup-simplify]: Simplify -1 into -1 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.175 * * * [progress]: simplifying candidates 0.176 * [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) 0.176 * * [simplify]: Extracting # 0 : cost 0 0.176 * * [simplify]: Extracting # 1 : cost 0 0.176 * * [simplify]: Extracting # 2 : cost 0 0.177 * * [simplify]: Extracting # 3 : cost 0 0.177 * * [simplify]: Extracting # 4 : cost 0 0.177 * * [simplify]: Extracting # 5 : cost 0 0.177 * * [simplify]: Extracting # 6 : cost 0 0.177 * * [simplify]: Extracting # 7 : cost 0 0.177 * * [simplify]: Extracting # 8 : cost 0 0.177 * * [simplify]: Extracting # 9 : cost 0 0.177 * * [simplify]: Extracting # 10 : cost 0 0.177 * * [simplify]: iteration 0 : 59 enodes (cost 319 ) 0.193 * * [simplify]: Extracting # 0 : cost 0 0.194 * * [simplify]: Extracting # 1 : cost 0 0.194 * * [simplify]: Extracting # 2 : cost 0 0.194 * * [simplify]: Extracting # 3 : cost 0 0.194 * * [simplify]: Extracting # 4 : cost 0 0.194 * * [simplify]: iteration 1 : 140 enodes (cost 294 ) 0.243 * * [simplify]: Extracting # 0 : cost 0 0.244 * * [simplify]: Extracting # 1 : cost 0 0.245 * * [simplify]: Extracting # 2 : cost 0 0.245 * * [simplify]: Extracting # 3 : cost 0 0.246 * * [simplify]: Extracting # 4 : cost 0 0.246 * * [simplify]: iteration 2 : 347 enodes (cost 258 ) 0.417 * * [simplify]: Extracting # 0 : cost 0 0.418 * * [simplify]: Extracting # 1 : cost 0 0.419 * * [simplify]: Extracting # 2 : cost 0 0.420 * * [simplify]: Extracting # 3 : cost 0 0.420 * * [simplify]: Extracting # 4 : cost 0 0.421 * * [simplify]: iteration 3 : 826 enodes (cost 255 ) 0.909 * * [simplify]: Extracting # 0 : cost 0 0.910 * * [simplify]: Extracting # 1 : cost 0 0.912 * * [simplify]: Extracting # 2 : cost 0 0.913 * * [simplify]: Extracting # 3 : cost 0 0.915 * * [simplify]: Extracting # 4 : cost 0 0.916 * * [simplify]: iteration 4 : 2004 enodes (cost 254 ) 2.314 * * [simplify]: Extracting # 0 : cost 0 2.321 * * [simplify]: Extracting # 1 : cost 0 2.325 * * [simplify]: Extracting # 2 : cost 0 2.330 * * [simplify]: Extracting # 3 : cost 0 2.334 * * [simplify]: Extracting # 4 : cost 0 2.339 * * [simplify]: Extracting # 5 : cost 0 2.343 * * [simplify]: iteration 5 : 4212 enodes (cost 254 ) 3.896 * * [simplify]: Extracting # 0 : cost 0 3.903 * * [simplify]: Extracting # 1 : cost 0 3.911 * * [simplify]: Extracting # 2 : cost 0 3.919 * * [simplify]: Extracting # 3 : cost 0 3.926 * * [simplify]: Extracting # 4 : cost 0 3.933 * * [simplify]: iteration done: 5000 enodes (cost 254 ) 3.934 * [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)) 3.934 * * * [progress]: adding candidates to table 4.046 * * [progress]: iteration 2 / 4 4.046 * * * [progress]: picking best candidate 4.051 * * * * [pick]: Picked # 4.051 * * * [progress]: localizing error 4.056 * * * [progress]: generating rewritten candidates 4.056 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 4.075 * * * [progress]: generating series expansions 4.075 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 4.075 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 4.075 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 4.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.075 * [taylor]: Taking taylor expansion of 1/2 in x 4.075 * [backup-simplify]: Simplify 1/2 into 1/2 4.075 * [taylor]: Taking taylor expansion of (/ y x) in x 4.075 * [taylor]: Taking taylor expansion of y in x 4.075 * [backup-simplify]: Simplify y into y 4.075 * [taylor]: Taking taylor expansion of x in x 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (/ y 1) into y 4.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.075 * [taylor]: Taking taylor expansion of 1/2 in y 4.075 * [backup-simplify]: Simplify 1/2 into 1/2 4.075 * [taylor]: Taking taylor expansion of (/ y x) in y 4.075 * [taylor]: Taking taylor expansion of y in y 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [taylor]: Taking taylor expansion of x in y 4.075 * [backup-simplify]: Simplify x into x 4.075 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.076 * [taylor]: Taking taylor expansion of 1/2 in y 4.076 * [backup-simplify]: Simplify 1/2 into 1/2 4.076 * [taylor]: Taking taylor expansion of (/ y x) in y 4.076 * [taylor]: Taking taylor expansion of y in y 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [taylor]: Taking taylor expansion of x in y 4.076 * [backup-simplify]: Simplify x into x 4.076 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.076 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 4.076 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.076 * [taylor]: Taking taylor expansion of 1/2 in x 4.076 * [backup-simplify]: Simplify 1/2 into 1/2 4.076 * [taylor]: Taking taylor expansion of x in x 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.077 * [backup-simplify]: Simplify 1/2 into 1/2 4.077 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 4.077 * [taylor]: Taking taylor expansion of 0 in x 4.077 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.079 * [taylor]: Taking taylor expansion of 0 in x 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.081 * [taylor]: Taking taylor expansion of 0 in x 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 4.082 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 4.082 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 4.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.082 * [taylor]: Taking taylor expansion of 1/2 in x 4.082 * [backup-simplify]: Simplify 1/2 into 1/2 4.082 * [taylor]: Taking taylor expansion of (/ x y) in x 4.083 * [taylor]: Taking taylor expansion of x in x 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [taylor]: Taking taylor expansion of y in x 4.083 * [backup-simplify]: Simplify y into y 4.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.083 * [taylor]: Taking taylor expansion of 1/2 in y 4.083 * [backup-simplify]: Simplify 1/2 into 1/2 4.083 * [taylor]: Taking taylor expansion of (/ x y) in y 4.083 * [taylor]: Taking taylor expansion of x in y 4.083 * [backup-simplify]: Simplify x into x 4.083 * [taylor]: Taking taylor expansion of y in y 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (/ x 1) into x 4.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.083 * [taylor]: Taking taylor expansion of 1/2 in y 4.083 * [backup-simplify]: Simplify 1/2 into 1/2 4.083 * [taylor]: Taking taylor expansion of (/ x y) in y 4.083 * [taylor]: Taking taylor expansion of x in y 4.083 * [backup-simplify]: Simplify x into x 4.083 * [taylor]: Taking taylor expansion of y in y 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (/ x 1) into x 4.083 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.083 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.083 * [taylor]: Taking taylor expansion of 1/2 in x 4.083 * [backup-simplify]: Simplify 1/2 into 1/2 4.083 * [taylor]: Taking taylor expansion of x in x 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.084 * [backup-simplify]: Simplify 1/2 into 1/2 4.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.085 * [taylor]: Taking taylor expansion of 0 in x 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.085 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.086 * [taylor]: Taking taylor expansion of 0 in x 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.089 * [taylor]: Taking taylor expansion of 0 in x 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 4.089 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 4.089 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 4.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.089 * [taylor]: Taking taylor expansion of 1/2 in x 4.089 * [backup-simplify]: Simplify 1/2 into 1/2 4.089 * [taylor]: Taking taylor expansion of (/ x y) in x 4.089 * [taylor]: Taking taylor expansion of x in x 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [taylor]: Taking taylor expansion of y in x 4.089 * [backup-simplify]: Simplify y into y 4.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.089 * [taylor]: Taking taylor expansion of 1/2 in y 4.090 * [backup-simplify]: Simplify 1/2 into 1/2 4.090 * [taylor]: Taking taylor expansion of (/ x y) in y 4.090 * [taylor]: Taking taylor expansion of x in y 4.090 * [backup-simplify]: Simplify x into x 4.090 * [taylor]: Taking taylor expansion of y in y 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (/ x 1) into x 4.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.090 * [taylor]: Taking taylor expansion of 1/2 in y 4.090 * [backup-simplify]: Simplify 1/2 into 1/2 4.090 * [taylor]: Taking taylor expansion of (/ x y) in y 4.090 * [taylor]: Taking taylor expansion of x in y 4.090 * [backup-simplify]: Simplify x into x 4.090 * [taylor]: Taking taylor expansion of y in y 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (/ x 1) into x 4.090 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.090 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.090 * [taylor]: Taking taylor expansion of 1/2 in x 4.090 * [backup-simplify]: Simplify 1/2 into 1/2 4.090 * [taylor]: Taking taylor expansion of x in x 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.090 * [backup-simplify]: Simplify 1/2 into 1/2 4.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.091 * [taylor]: Taking taylor expansion of 0 in x 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.093 * [taylor]: Taking taylor expansion of 0 in x 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.096 * [taylor]: Taking taylor expansion of 0 in x 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 4.096 * * * [progress]: simplifying candidates 4.096 * [simplify]: Simplifying: (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 4.097 * * [simplify]: Extracting # 0 : cost 0 4.097 * * [simplify]: Extracting # 1 : cost 0 4.097 * * [simplify]: Extracting # 2 : cost 0 4.097 * * [simplify]: Extracting # 3 : cost 0 4.097 * * [simplify]: Extracting # 4 : cost 0 4.097 * * [simplify]: Extracting # 5 : cost 0 4.097 * * [simplify]: Extracting # 6 : cost 0 4.098 * * [simplify]: Extracting # 7 : cost 0 4.098 * * [simplify]: iteration 0 : 68 enodes (cost 277 ) 4.120 * * [simplify]: Extracting # 0 : cost 0 4.120 * * [simplify]: Extracting # 1 : cost 0 4.120 * * [simplify]: Extracting # 2 : cost 0 4.120 * * [simplify]: iteration 1 : 162 enodes (cost 250 ) 4.161 * * [simplify]: Extracting # 0 : cost 0 4.162 * * [simplify]: Extracting # 1 : cost 0 4.163 * * [simplify]: Extracting # 2 : cost 0 4.164 * * [simplify]: Extracting # 3 : cost 0 4.165 * * [simplify]: Extracting # 4 : cost 0 4.165 * * [simplify]: iteration 2 : 426 enodes (cost 230 ) 4.364 * * [simplify]: Extracting # 0 : cost 0 4.367 * * [simplify]: Extracting # 1 : cost 0 4.369 * * [simplify]: Extracting # 2 : cost 0 4.371 * * [simplify]: Extracting # 3 : cost 0 4.373 * * [simplify]: Extracting # 4 : cost 0 4.374 * * [simplify]: iteration 3 : 1067 enodes (cost 229 ) 5.584 * * [simplify]: Extracting # 0 : cost 0 5.590 * * [simplify]: Extracting # 1 : cost 0 5.596 * * [simplify]: Extracting # 2 : cost 0 5.599 * * [simplify]: Extracting # 3 : cost 0 5.603 * * [simplify]: Extracting # 4 : cost 0 5.606 * * [simplify]: iteration 4 : 2498 enodes (cost 229 ) 9.609 * * [simplify]: Extracting # 0 : cost 0 9.617 * * [simplify]: Extracting # 1 : cost 0 9.621 * * [simplify]: Extracting # 2 : cost 0 9.625 * * [simplify]: Extracting # 3 : cost 0 9.629 * * [simplify]: Extracting # 4 : cost 0 9.633 * * [simplify]: iteration done: 5000 enodes (cost 229 ) 9.633 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (sqrt (exp (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (* (cbrt y) (cbrt y))) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (sqrt y)) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 9.633 * * * [progress]: adding candidates to table 9.694 * * [progress]: iteration 3 / 4 9.694 * * * [progress]: picking best candidate 9.695 * * * * [pick]: Picked # 9.695 * * * [progress]: localizing error 9.703 * * * [progress]: generating rewritten candidates 9.703 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 9.719 * * * [progress]: generating series expansions 9.719 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 9.719 * [backup-simplify]: Simplify (* (/ y x) -1/2) into (* -1/2 (/ y x)) 9.720 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 9.720 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 9.720 * [taylor]: Taking taylor expansion of -1/2 in x 9.720 * [backup-simplify]: Simplify -1/2 into -1/2 9.720 * [taylor]: Taking taylor expansion of (/ y x) in x 9.720 * [taylor]: Taking taylor expansion of y in x 9.720 * [backup-simplify]: Simplify y into y 9.720 * [taylor]: Taking taylor expansion of x in x 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify 1 into 1 9.720 * [backup-simplify]: Simplify (/ y 1) into y 9.720 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 9.720 * [taylor]: Taking taylor expansion of -1/2 in y 9.720 * [backup-simplify]: Simplify -1/2 into -1/2 9.720 * [taylor]: Taking taylor expansion of (/ y x) in y 9.720 * [taylor]: Taking taylor expansion of y in y 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify 1 into 1 9.720 * [taylor]: Taking taylor expansion of x in y 9.720 * [backup-simplify]: Simplify x into x 9.720 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.720 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 9.720 * [taylor]: Taking taylor expansion of -1/2 in y 9.720 * [backup-simplify]: Simplify -1/2 into -1/2 9.720 * [taylor]: Taking taylor expansion of (/ y x) in y 9.720 * [taylor]: Taking taylor expansion of y in y 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify 1 into 1 9.720 * [taylor]: Taking taylor expansion of x in y 9.720 * [backup-simplify]: Simplify x into x 9.720 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.720 * [backup-simplify]: Simplify (* -1/2 (/ 1 x)) into (/ -1/2 x) 9.720 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.720 * [taylor]: Taking taylor expansion of -1/2 in x 9.720 * [backup-simplify]: Simplify -1/2 into -1/2 9.720 * [taylor]: Taking taylor expansion of x in x 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify 1 into 1 9.721 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.721 * [backup-simplify]: Simplify -1/2 into -1/2 9.721 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 9.721 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 x))) into 0 9.721 * [taylor]: Taking taylor expansion of 0 in x 9.721 * [backup-simplify]: Simplify 0 into 0 9.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 9.722 * [backup-simplify]: Simplify 0 into 0 9.722 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.722 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 9.723 * [taylor]: Taking taylor expansion of 0 in x 9.723 * [backup-simplify]: Simplify 0 into 0 9.723 * [backup-simplify]: Simplify 0 into 0 9.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.723 * [backup-simplify]: Simplify 0 into 0 9.723 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.724 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 9.724 * [taylor]: Taking taylor expansion of 0 in x 9.724 * [backup-simplify]: Simplify 0 into 0 9.724 * [backup-simplify]: Simplify 0 into 0 9.724 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) y)) into (* -1/2 (/ y x)) 9.725 * [backup-simplify]: Simplify (* (/ (/ 1 y) (/ 1 x)) -1/2) into (* -1/2 (/ x y)) 9.725 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 9.725 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 9.725 * [taylor]: Taking taylor expansion of -1/2 in x 9.725 * [backup-simplify]: Simplify -1/2 into -1/2 9.725 * [taylor]: Taking taylor expansion of (/ x y) in x 9.725 * [taylor]: Taking taylor expansion of x in x 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify 1 into 1 9.725 * [taylor]: Taking taylor expansion of y in x 9.725 * [backup-simplify]: Simplify y into y 9.725 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.725 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 9.725 * [taylor]: Taking taylor expansion of -1/2 in y 9.725 * [backup-simplify]: Simplify -1/2 into -1/2 9.725 * [taylor]: Taking taylor expansion of (/ x y) in y 9.725 * [taylor]: Taking taylor expansion of x in y 9.725 * [backup-simplify]: Simplify x into x 9.725 * [taylor]: Taking taylor expansion of y in y 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify 1 into 1 9.725 * [backup-simplify]: Simplify (/ x 1) into x 9.725 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 9.725 * [taylor]: Taking taylor expansion of -1/2 in y 9.725 * [backup-simplify]: Simplify -1/2 into -1/2 9.725 * [taylor]: Taking taylor expansion of (/ x y) in y 9.725 * [taylor]: Taking taylor expansion of x in y 9.725 * [backup-simplify]: Simplify x into x 9.725 * [taylor]: Taking taylor expansion of y in y 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify 1 into 1 9.725 * [backup-simplify]: Simplify (/ x 1) into x 9.726 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 9.726 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 9.726 * [taylor]: Taking taylor expansion of -1/2 in x 9.726 * [backup-simplify]: Simplify -1/2 into -1/2 9.726 * [taylor]: Taking taylor expansion of x in x 9.726 * [backup-simplify]: Simplify 0 into 0 9.726 * [backup-simplify]: Simplify 1 into 1 9.726 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 9.726 * [backup-simplify]: Simplify -1/2 into -1/2 9.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 9.727 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 9.727 * [taylor]: Taking taylor expansion of 0 in x 9.727 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify 0 into 0 9.728 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.728 * [backup-simplify]: Simplify 0 into 0 9.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.729 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 9.729 * [taylor]: Taking taylor expansion of 0 in x 9.729 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.730 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.730 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.731 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 9.732 * [taylor]: Taking taylor expansion of 0 in x 9.732 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* -1/2 (/ y x)) 9.732 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) into (* -1/2 (/ x y)) 9.732 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 9.732 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 9.732 * [taylor]: Taking taylor expansion of -1/2 in x 9.732 * [backup-simplify]: Simplify -1/2 into -1/2 9.732 * [taylor]: Taking taylor expansion of (/ x y) in x 9.732 * [taylor]: Taking taylor expansion of x in x 9.732 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify 1 into 1 9.732 * [taylor]: Taking taylor expansion of y in x 9.732 * [backup-simplify]: Simplify y into y 9.732 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.732 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 9.732 * [taylor]: Taking taylor expansion of -1/2 in y 9.732 * [backup-simplify]: Simplify -1/2 into -1/2 9.732 * [taylor]: Taking taylor expansion of (/ x y) in y 9.732 * [taylor]: Taking taylor expansion of x in y 9.732 * [backup-simplify]: Simplify x into x 9.732 * [taylor]: Taking taylor expansion of y in y 9.732 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify 1 into 1 9.732 * [backup-simplify]: Simplify (/ x 1) into x 9.732 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 9.732 * [taylor]: Taking taylor expansion of -1/2 in y 9.732 * [backup-simplify]: Simplify -1/2 into -1/2 9.732 * [taylor]: Taking taylor expansion of (/ x y) in y 9.732 * [taylor]: Taking taylor expansion of x in y 9.732 * [backup-simplify]: Simplify x into x 9.732 * [taylor]: Taking taylor expansion of y in y 9.732 * [backup-simplify]: Simplify 0 into 0 9.732 * [backup-simplify]: Simplify 1 into 1 9.732 * [backup-simplify]: Simplify (/ x 1) into x 9.732 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 9.732 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 9.732 * [taylor]: Taking taylor expansion of -1/2 in x 9.733 * [backup-simplify]: Simplify -1/2 into -1/2 9.733 * [taylor]: Taking taylor expansion of x in x 9.733 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify 1 into 1 9.733 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 9.733 * [backup-simplify]: Simplify -1/2 into -1/2 9.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 9.734 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 9.734 * [taylor]: Taking taylor expansion of 0 in x 9.734 * [backup-simplify]: Simplify 0 into 0 9.734 * [backup-simplify]: Simplify 0 into 0 9.735 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.735 * [backup-simplify]: Simplify 0 into 0 9.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.737 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 9.737 * [taylor]: Taking taylor expansion of 0 in x 9.737 * [backup-simplify]: Simplify 0 into 0 9.737 * [backup-simplify]: Simplify 0 into 0 9.737 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.738 * [backup-simplify]: Simplify 0 into 0 9.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.741 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 9.741 * [taylor]: Taking taylor expansion of 0 in x 9.741 * [backup-simplify]: Simplify 0 into 0 9.741 * [backup-simplify]: Simplify 0 into 0 9.741 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* -1/2 (/ y x)) 9.741 * * * [progress]: simplifying candidates 9.742 * [simplify]: Simplifying: (* (/ y x) -1/2) (+ (- (log y) (log x)) (log -1/2)) (+ (log (/ y x)) (log -1/2)) (log (* (/ y x) -1/2)) (exp (* (/ y x) -1/2)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* -1/2 -1/2) -1/2)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* -1/2 -1/2) -1/2)) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (* (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ y x) (* (cbrt -1/2) (cbrt -1/2))) (* (/ y x) (sqrt -1/2)) (* (/ y x) 1) (* (cbrt (/ y x)) -1/2) (* (sqrt (/ y x)) -1/2) (* (/ (cbrt y) (cbrt x)) -1/2) (* (/ (cbrt y) (sqrt x)) -1/2) (* (/ (cbrt y) x) -1/2) (* (/ (sqrt y) (cbrt x)) -1/2) (* (/ (sqrt y) (sqrt x)) -1/2) (* (/ (sqrt y) x) -1/2) (* (/ y (cbrt x)) -1/2) (* (/ y (sqrt x)) -1/2) (* (/ y x) -1/2) (* (/ y x) -1/2) (* (/ 1 x) -1/2) (* y -1/2) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 9.742 * * [simplify]: Extracting # 0 : cost 0 9.742 * * [simplify]: Extracting # 1 : cost 0 9.743 * * [simplify]: Extracting # 2 : cost 0 9.743 * * [simplify]: Extracting # 3 : cost 0 9.743 * * [simplify]: Extracting # 4 : cost 0 9.743 * * [simplify]: Extracting # 5 : cost 0 9.743 * * [simplify]: Extracting # 6 : cost 0 9.743 * * [simplify]: iteration 0 : 67 enodes (cost 261 ) 9.766 * * [simplify]: Extracting # 0 : cost 0 9.766 * * [simplify]: Extracting # 1 : cost 0 9.766 * * [simplify]: Extracting # 2 : cost 0 9.767 * * [simplify]: iteration 1 : 153 enodes (cost 244 ) 9.849 * * [simplify]: Extracting # 0 : cost 0 9.850 * * [simplify]: Extracting # 1 : cost 0 9.850 * * [simplify]: Extracting # 2 : cost 0 9.851 * * [simplify]: Extracting # 3 : cost 0 9.851 * * [simplify]: iteration 2 : 404 enodes (cost 224 ) 10.132 * * [simplify]: Extracting # 0 : cost 0 10.134 * * [simplify]: Extracting # 1 : cost 0 10.135 * * [simplify]: Extracting # 2 : cost 0 10.136 * * [simplify]: Extracting # 3 : cost 0 10.137 * * [simplify]: Extracting # 4 : cost 0 10.141 * * [simplify]: Extracting # 5 : cost 0 10.142 * * [simplify]: iteration 3 : 1033 enodes (cost 224 ) 11.745 * * [simplify]: Extracting # 0 : cost 0 11.749 * * [simplify]: Extracting # 1 : cost 0 11.751 * * [simplify]: Extracting # 2 : cost 0 11.753 * * [simplify]: Extracting # 3 : cost 0 11.756 * * [simplify]: Extracting # 4 : cost 0 11.758 * * [simplify]: iteration 4 : 2565 enodes (cost 224 ) 15.560 * * [simplify]: Extracting # 0 : cost 0 15.572 * * [simplify]: Extracting # 1 : cost 0 15.579 * * [simplify]: Extracting # 2 : cost 0 15.585 * * [simplify]: Extracting # 3 : cost 0 15.591 * * [simplify]: Extracting # 4 : cost 0 15.595 * * [simplify]: iteration done: 5001 enodes (cost 224 ) 15.595 * [simplify]: Simplified to: (* -1/2 (/ y x)) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (exp (* (/ y x) -1/2)) (* -1/8 (pow (/ y x) 3)) (* -1/8 (pow (/ y x) 3)) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (* -1/8 (pow (/ y x) 3)) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ y x) (* (cbrt -1/2) (cbrt -1/2))) (* (/ y x) (sqrt -1/2)) (/ y x) (* (cbrt (/ y x)) -1/2) (* (sqrt (/ y x)) -1/2) (* (/ (cbrt y) (cbrt x)) -1/2) (* (/ (cbrt y) (sqrt x)) -1/2) (* (/ (cbrt y) x) -1/2) (* (/ (sqrt y) (cbrt x)) -1/2) (* (/ (sqrt y) (sqrt x)) -1/2) (* (/ (sqrt y) x) -1/2) (* (/ y (cbrt x)) -1/2) (* (/ y (sqrt x)) -1/2) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (/ -1/2 x) (* -1/2 y) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 15.596 * * * [progress]: adding candidates to table 15.677 * [progress]: [Phase 3 of 3] Extracting. 15.677 * * [regime]: Finding splitpoints for: (# # #) 15.678 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 15.678 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 15.698 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 15.714 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 15.736 * * * * [regimes]: Trying to branch on y from (# # #) 15.763 * * * * [regimes]: Trying to branch on x from (# # #) 15.794 * * * [regime]: Found split indices: #