32.237 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: Extracting # 1 : cost 0 0.033 * * [simplify]: Extracting # 2 : cost 0 0.033 * * [simplify]: Extracting # 3 : cost 0 0.033 * * [simplify]: Extracting # 4 : cost 0 0.033 * * [simplify]: Extracting # 5 : cost 0 0.033 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: iteration 2 : 12 enodes (cost 7 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.046 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.112 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.120 * * * [progress]: generating series expansions 0.121 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.121 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.121 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.121 * [taylor]: Taking taylor expansion of 2 in y 0.121 * [backup-simplify]: Simplify 2 into 2 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 0.121 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.121 * [taylor]: Taking taylor expansion of 2 in x 0.121 * [backup-simplify]: Simplify 2 into 2 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.121 * [taylor]: Taking taylor expansion of 2 in x 0.121 * [backup-simplify]: Simplify 2 into 2 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.121 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.121 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.121 * [taylor]: Taking taylor expansion of 2 in y 0.121 * [backup-simplify]: Simplify 2 into 2 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 (* 2 0) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.123 * [backup-simplify]: Simplify 2 into 2 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.127 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.127 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [backup-simplify]: Simplify x into x 0.128 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.128 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.128 * [taylor]: Taking taylor expansion of 2 in y 0.128 * [backup-simplify]: Simplify 2 into 2 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.128 * [taylor]: Taking taylor expansion of y in y 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 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 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 (* 2 (/ 1 y)) in x 0.129 * [taylor]: Taking taylor expansion of 2 in x 0.129 * [backup-simplify]: Simplify 2 into 2 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.130 * [taylor]: Taking taylor expansion of 2 in x 0.130 * [backup-simplify]: Simplify 2 into 2 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [backup-simplify]: Simplify y into y 0.130 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [taylor]: Taking taylor expansion of 1 in y 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [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 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.133 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.133 * [taylor]: Taking taylor expansion of 2 in y 0.133 * [backup-simplify]: Simplify 2 into 2 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 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 (* 2 1) into 2 0.133 * [backup-simplify]: Simplify 2 into 2 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) 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 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.139 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.139 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.139 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [backup-simplify]: Simplify x into x 0.139 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.139 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.139 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.139 * [taylor]: Taking taylor expansion of 2 in y 0.139 * [backup-simplify]: Simplify 2 into 2 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.141 * [taylor]: Taking taylor expansion of 2 in x 0.141 * [backup-simplify]: Simplify 2 into 2 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.142 * [taylor]: Taking taylor expansion of 2 in x 0.142 * [backup-simplify]: Simplify 2 into 2 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.146 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.147 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.147 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.147 * [taylor]: Taking taylor expansion of 2 in y 0.147 * [backup-simplify]: Simplify 2 into 2 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.147 * [taylor]: Taking taylor expansion of y in y 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 (* 2 1) into 2 0.148 * [backup-simplify]: Simplify (- 2) into -2 0.148 * [backup-simplify]: Simplify -2 into -2 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.151 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.151 * [backup-simplify]: Simplify (- 0) 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 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.155 * [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 0.157 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.157 * [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 0.158 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.158 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.158 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.158 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [backup-simplify]: Simplify x into x 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [backup-simplify]: Simplify y into y 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [backup-simplify]: Simplify (+ 0 y) into y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify 0 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 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [taylor]: Taking taylor expansion of 1 in y 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.162 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.162 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [backup-simplify]: Simplify x into x 0.162 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [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 0.163 * [taylor]: Taking taylor expansion of x in x 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 0.164 * [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 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [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) 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [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 (+ 0 (/ 1 y)) into (/ 1 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 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 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 0.174 * [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 0.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) 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 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.175 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [backup-simplify]: Simplify x into x 0.176 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.176 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.183 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.187 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (- 1) into -1 0.187 * [backup-simplify]: Simplify -1 into -1 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.193 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.194 * * * [progress]: simplifying candidates 0.194 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y 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) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.195 * * [simplify]: Extracting # 0 : cost 0 0.195 * * [simplify]: Extracting # 1 : cost 0 0.195 * * [simplify]: Extracting # 2 : cost 0 0.196 * * [simplify]: Extracting # 3 : cost 0 0.196 * * [simplify]: Extracting # 4 : cost 0 0.196 * * [simplify]: Extracting # 5 : cost 0 0.196 * * [simplify]: Extracting # 6 : cost 0 0.196 * * [simplify]: iteration 0 : 48 enodes (cost 310 ) 0.209 * * [simplify]: Extracting # 0 : cost 0 0.209 * * [simplify]: Extracting # 1 : cost 0 0.210 * * [simplify]: Extracting # 2 : cost 0 0.210 * * [simplify]: Extracting # 3 : cost 0 0.210 * * [simplify]: Extracting # 4 : cost 0 0.210 * * [simplify]: iteration 1 : 134 enodes (cost 292 ) 0.257 * * [simplify]: Extracting # 0 : cost 0 0.257 * * [simplify]: Extracting # 1 : cost 0 0.257 * * [simplify]: Extracting # 2 : cost 0 0.258 * * [simplify]: Extracting # 3 : cost 0 0.258 * * [simplify]: Extracting # 4 : cost 0 0.258 * * [simplify]: iteration 2 : 387 enodes (cost 262 ) 0.493 * * [simplify]: Extracting # 0 : cost 0 0.494 * * [simplify]: Extracting # 1 : cost 0 0.495 * * [simplify]: Extracting # 2 : cost 0 0.497 * * [simplify]: Extracting # 3 : cost 0 0.498 * * [simplify]: Extracting # 4 : cost 0 0.500 * * [simplify]: iteration 3 : 1187 enodes (cost 252 ) 1.558 * * [simplify]: Extracting # 0 : cost 0 1.576 * * [simplify]: Extracting # 1 : cost 0 1.581 * * [simplify]: Extracting # 2 : cost 0 1.587 * * [simplify]: Extracting # 3 : cost 0 1.592 * * [simplify]: Extracting # 4 : cost 0 1.597 * * [simplify]: iteration done: 5000 enodes (cost 250 ) 1.597 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 2 y))) (exp (+ (pow x 2) (* 2 y))) (log (+ (+ (* x x) y) y)) (exp (+ (pow x 2) (* 2 y))) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (pow x 2) (* 2 y)) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) y) (pow x 4)) (* (* x x) (+ (pow x 2) (* 2 y))) (* x x) (+ (pow x 2) (* 2 y)) (* 2 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 (+ (pow x 2) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow x 6) (pow y 3)) (+ (* y (- y (* x x))) (pow x 4)) (- (pow x 4) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 1.597 * * * [progress]: adding candidates to table 1.691 * * [progress]: iteration 2 / 4 1.691 * * * [progress]: picking best candidate 1.694 * * * * [pick]: Picked # 1.694 * * * [progress]: localizing error 1.706 * * * [progress]: generating rewritten candidates 1.706 * * * [progress]: generating series expansions 1.706 * * * [progress]: simplifying candidates 1.706 * [simplify]: Simplifying: 1.706 * * [simplify]: Extracting # 0 : cost 0 1.706 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.706 * * [simplify]: Extracting # 0 : cost 0 1.706 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.706 * [simplify]: Simplified to: 1.706 * * * [progress]: adding candidates to table 1.707 * [progress]: [Phase 3 of 3] Extracting. 1.709 * [simplify]: Simplifying: (* 1 (+ (pow x 2) (* 2 y))) 1.710 * * [simplify]: Extracting # 0 : cost 0 1.710 * * [simplify]: Extracting # 1 : cost 0 1.710 * * [simplify]: Extracting # 2 : cost 0 1.710 * * [simplify]: Extracting # 3 : cost 0 1.710 * * [simplify]: Extracting # 4 : cost 0 1.710 * * [simplify]: Extracting # 5 : cost 0 1.710 * * [simplify]: iteration 0 : 8 enodes (cost 9 ) 1.711 * * [simplify]: Extracting # 0 : cost 0 1.711 * * [simplify]: iteration 1 : 13 enodes (cost 7 ) 1.712 * * [simplify]: Extracting # 0 : cost 0 1.712 * * [simplify]: iteration done: 13 enodes (cost 7 ) 1.712 * [simplify]: Simplified to: (+ (pow x 2) (* 2 y)) 2.505 * [regime-testing]: Baseline error score: 0.004750593824228029 2.507 * [regime-testing]: Oracle error score: 0.004750593824228029 2.507 * [regime-testing]: End program error score: 0.004750593824228029 2.529 * [regime-testing]: Target error score: 0.004750593824228029