102.455 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.033 * [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 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.045 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.137 * * * [progress]: generating series expansions 0.137 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.137 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.137 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [backup-simplify]: Simplify x into x 0.137 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.137 * [taylor]: Taking taylor expansion of 2 in y 0.137 * [backup-simplify]: Simplify 2 into 2 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.137 * [taylor]: Taking taylor expansion of 2 in x 0.137 * [backup-simplify]: Simplify 2 into 2 0.137 * [taylor]: Taking taylor expansion of y in x 0.138 * [backup-simplify]: Simplify y into y 0.138 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.138 * [taylor]: Taking taylor expansion of 2 in x 0.138 * [backup-simplify]: Simplify 2 into 2 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [backup-simplify]: Simplify y into y 0.138 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.138 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.138 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.138 * [taylor]: Taking taylor expansion of 2 in y 0.138 * [backup-simplify]: Simplify 2 into 2 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 2 0) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.141 * [backup-simplify]: Simplify 2 into 2 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.142 * [taylor]: Taking taylor expansion of 1 in y 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.148 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.148 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [backup-simplify]: Simplify x into x 0.148 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.148 * [taylor]: Taking taylor expansion of 2 in y 0.148 * [backup-simplify]: Simplify 2 into 2 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.149 * [taylor]: Taking taylor expansion of 2 in x 0.149 * [backup-simplify]: Simplify 2 into 2 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.151 * [taylor]: Taking taylor expansion of 2 in x 0.151 * [backup-simplify]: Simplify 2 into 2 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 0.151 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.151 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [taylor]: Taking taylor expansion of 1 in y 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.155 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.155 * [taylor]: Taking taylor expansion of 2 in y 0.155 * [backup-simplify]: Simplify 2 into 2 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify (* 2 1) into 2 0.156 * [backup-simplify]: Simplify 2 into 2 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [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 0.158 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 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 (+ (* 2 0) (* 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 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.165 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.165 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [backup-simplify]: Simplify x into x 0.165 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.165 * [taylor]: Taking taylor expansion of 2 in y 0.165 * [backup-simplify]: Simplify 2 into 2 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.166 * [taylor]: Taking taylor expansion of 2 in x 0.166 * [backup-simplify]: Simplify 2 into 2 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [backup-simplify]: Simplify y into y 0.167 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.167 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.168 * [taylor]: Taking taylor expansion of 2 in x 0.168 * [backup-simplify]: Simplify 2 into 2 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [backup-simplify]: Simplify y into y 0.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.172 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.172 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.172 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.172 * [taylor]: Taking taylor expansion of 2 in y 0.172 * [backup-simplify]: Simplify 2 into 2 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify (* 2 1) into 2 0.173 * [backup-simplify]: Simplify (- 2) into -2 0.173 * [backup-simplify]: Simplify -2 into -2 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 1)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.181 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.182 * * * [progress]: simplifying candidates 0.183 * [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) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.184 * * [simplify]: Extracting # 0 : cost 0 0.184 * * [simplify]: Extracting # 1 : cost 0 0.184 * * [simplify]: Extracting # 2 : cost 0 0.184 * * [simplify]: Extracting # 3 : cost 0 0.184 * * [simplify]: Extracting # 4 : cost 0 0.184 * * [simplify]: Extracting # 5 : cost 0 0.184 * * [simplify]: Extracting # 6 : cost 0 0.184 * * [simplify]: iteration 0 : 34 enodes (cost 186 ) 0.197 * * [simplify]: Extracting # 0 : cost 0 0.198 * * [simplify]: Extracting # 1 : cost 0 0.198 * * [simplify]: Extracting # 2 : cost 0 0.198 * * [simplify]: Extracting # 3 : cost 0 0.198 * * [simplify]: Extracting # 4 : cost 0 0.199 * * [simplify]: iteration 1 : 97 enodes (cost 182 ) 0.252 * * [simplify]: Extracting # 0 : cost 0 0.252 * * [simplify]: Extracting # 1 : cost 0 0.253 * * [simplify]: Extracting # 2 : cost 0 0.253 * * [simplify]: Extracting # 3 : cost 0 0.254 * * [simplify]: Extracting # 4 : cost 0 0.254 * * [simplify]: iteration 2 : 339 enodes (cost 161 ) 0.566 * * [simplify]: Extracting # 0 : cost 0 0.570 * * [simplify]: Extracting # 1 : cost 0 0.575 * * [simplify]: Extracting # 2 : cost 0 0.580 * * [simplify]: Extracting # 3 : cost 0 0.585 * * [simplify]: Extracting # 4 : cost 0 0.590 * * [simplify]: iteration 3 : 2180 enodes (cost 151 ) 2.167 * * [simplify]: Extracting # 0 : cost 0 2.185 * * [simplify]: Extracting # 1 : cost 0 2.204 * * [simplify]: Extracting # 2 : cost 0 2.223 * * [simplify]: Extracting # 3 : cost 0 2.236 * * [simplify]: Extracting # 4 : cost 0 2.248 * * [simplify]: iteration done: 5001 enodes (cost 149 ) 2.248 * [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)) (+ (pow x 4) (* (+ (* x x) y) y)) (* (+ (pow x 2) (* 2 y)) (* x x)) (pow x 2) (+ (pow x 2) (* 2 y)) (* 2 y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 2.248 * * * [progress]: adding candidates to table 2.760 * * [progress]: iteration 2 / 4 2.760 * * * [progress]: picking best candidate 2.765 * * * * [pick]: Picked # 2.765 * * * [progress]: localizing error 2.784 * * * [progress]: generating rewritten candidates 2.785 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 3.101 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 3.161 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 3.231 * * * [progress]: generating series expansions 3.233 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.233 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) into (+ (pow x 2) (* 2 y)) 3.233 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 3.233 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 3.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.233 * [taylor]: Taking taylor expansion of x in y 3.234 * [backup-simplify]: Simplify x into x 3.234 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.234 * [taylor]: Taking taylor expansion of 2 in y 3.234 * [backup-simplify]: Simplify 2 into 2 3.234 * [taylor]: Taking taylor expansion of y in y 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 3.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.234 * [taylor]: Taking taylor expansion of x in x 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [taylor]: Taking taylor expansion of (* 2 y) in x 3.234 * [taylor]: Taking taylor expansion of 2 in x 3.234 * [backup-simplify]: Simplify 2 into 2 3.234 * [taylor]: Taking taylor expansion of y in x 3.234 * [backup-simplify]: Simplify y into y 3.234 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 3.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.234 * [taylor]: Taking taylor expansion of x in x 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [taylor]: Taking taylor expansion of (* 2 y) in x 3.234 * [taylor]: Taking taylor expansion of 2 in x 3.234 * [backup-simplify]: Simplify 2 into 2 3.234 * [taylor]: Taking taylor expansion of y in x 3.234 * [backup-simplify]: Simplify y into y 3.235 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 3.235 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.235 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.235 * [taylor]: Taking taylor expansion of 2 in y 3.235 * [backup-simplify]: Simplify 2 into 2 3.235 * [taylor]: Taking taylor expansion of y in y 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.236 * [backup-simplify]: Simplify (* 2 0) into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 3.238 * [backup-simplify]: Simplify (+ 0 0) into 0 3.238 * [taylor]: Taking taylor expansion of 0 in y 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.240 * [backup-simplify]: Simplify 2 into 2 3.240 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 3.242 * [backup-simplify]: Simplify (+ 1 0) into 1 3.242 * [taylor]: Taking taylor expansion of 1 in y 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.245 * [taylor]: Taking taylor expansion of 0 in y 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 3.247 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 3.247 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 3.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.247 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.247 * [taylor]: Taking taylor expansion of x in y 3.247 * [backup-simplify]: Simplify x into x 3.247 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.247 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.248 * [taylor]: Taking taylor expansion of 2 in y 3.248 * [backup-simplify]: Simplify 2 into 2 3.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.248 * [taylor]: Taking taylor expansion of y in y 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [backup-simplify]: Simplify (/ 1 1) into 1 3.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.248 * [taylor]: Taking taylor expansion of x in x 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.249 * [backup-simplify]: Simplify (* 1 1) into 1 3.249 * [backup-simplify]: Simplify (/ 1 1) into 1 3.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.249 * [taylor]: Taking taylor expansion of 2 in x 3.249 * [backup-simplify]: Simplify 2 into 2 3.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.249 * [taylor]: Taking taylor expansion of y in x 3.249 * [backup-simplify]: Simplify y into y 3.249 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.249 * [taylor]: Taking taylor expansion of x in x 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.250 * [taylor]: Taking taylor expansion of 2 in x 3.250 * [backup-simplify]: Simplify 2 into 2 3.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.250 * [taylor]: Taking taylor expansion of y in x 3.250 * [backup-simplify]: Simplify y into y 3.250 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.251 * [backup-simplify]: Simplify (+ 1 0) into 1 3.251 * [taylor]: Taking taylor expansion of 1 in y 3.251 * [backup-simplify]: Simplify 1 into 1 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ 0 0) into 0 3.252 * [taylor]: Taking taylor expansion of 0 in y 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.254 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.254 * [taylor]: Taking taylor expansion of 2 in y 3.254 * [backup-simplify]: Simplify 2 into 2 3.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.254 * [taylor]: Taking taylor expansion of y in y 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (/ 1 1) into 1 3.255 * [backup-simplify]: Simplify (* 2 1) into 2 3.255 * [backup-simplify]: Simplify 2 into 2 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.258 * [backup-simplify]: Simplify (+ 0 0) into 0 3.258 * [taylor]: Taking taylor expansion of 0 in y 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.262 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [taylor]: Taking taylor expansion of 0 in y 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 3.264 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y)))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 3.264 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 3.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.264 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.264 * [taylor]: Taking taylor expansion of x in y 3.264 * [backup-simplify]: Simplify x into x 3.264 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.264 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.264 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.264 * [taylor]: Taking taylor expansion of 2 in y 3.264 * [backup-simplify]: Simplify 2 into 2 3.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.264 * [taylor]: Taking taylor expansion of y in y 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.265 * [taylor]: Taking taylor expansion of x in x 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (* 1 1) into 1 3.265 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.265 * [taylor]: Taking taylor expansion of 2 in x 3.265 * [backup-simplify]: Simplify 2 into 2 3.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.266 * [taylor]: Taking taylor expansion of y in x 3.266 * [backup-simplify]: Simplify y into y 3.266 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.266 * [taylor]: Taking taylor expansion of x in x 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.266 * [backup-simplify]: Simplify (* 1 1) into 1 3.266 * [backup-simplify]: Simplify (/ 1 1) into 1 3.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.266 * [taylor]: Taking taylor expansion of 2 in x 3.266 * [backup-simplify]: Simplify 2 into 2 3.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.267 * [taylor]: Taking taylor expansion of y in x 3.267 * [backup-simplify]: Simplify y into y 3.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.267 * [backup-simplify]: Simplify (+ 1 0) into 1 3.267 * [taylor]: Taking taylor expansion of 1 in y 3.267 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.269 * [backup-simplify]: Simplify (+ 0 0) into 0 3.269 * [taylor]: Taking taylor expansion of 0 in y 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.271 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 3.271 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 3.271 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 3.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.271 * [taylor]: Taking taylor expansion of 2 in y 3.271 * [backup-simplify]: Simplify 2 into 2 3.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.271 * [taylor]: Taking taylor expansion of y in y 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (/ 1 1) into 1 3.272 * [backup-simplify]: Simplify (* 2 1) into 2 3.272 * [backup-simplify]: Simplify (- 2) into -2 3.272 * [backup-simplify]: Simplify -2 into -2 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.274 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.275 * [backup-simplify]: Simplify (- 0) into 0 3.275 * [backup-simplify]: Simplify (+ 0 0) into 0 3.275 * [taylor]: Taking taylor expansion of 0 in y 3.275 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.277 * [backup-simplify]: Simplify (- 0) into 0 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.280 * [backup-simplify]: Simplify (- 0) into 0 3.281 * [backup-simplify]: Simplify (+ 0 0) into 0 3.281 * [taylor]: Taking taylor expansion of 0 in y 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 3.281 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 3.282 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 3.282 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 3.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 3.282 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.282 * [taylor]: Taking taylor expansion of x in y 3.282 * [backup-simplify]: Simplify x into x 3.282 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.282 * [taylor]: Taking taylor expansion of 2 in y 3.282 * [backup-simplify]: Simplify 2 into 2 3.282 * [taylor]: Taking taylor expansion of y in y 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 3.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.282 * [taylor]: Taking taylor expansion of x in x 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.282 * [taylor]: Taking taylor expansion of (* 2 y) in x 3.282 * [taylor]: Taking taylor expansion of 2 in x 3.282 * [backup-simplify]: Simplify 2 into 2 3.282 * [taylor]: Taking taylor expansion of y in x 3.282 * [backup-simplify]: Simplify y into y 3.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 3.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.282 * [taylor]: Taking taylor expansion of x in x 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.282 * [taylor]: Taking taylor expansion of (* 2 y) in x 3.282 * [taylor]: Taking taylor expansion of 2 in x 3.282 * [backup-simplify]: Simplify 2 into 2 3.282 * [taylor]: Taking taylor expansion of y in x 3.282 * [backup-simplify]: Simplify y into y 3.282 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 3.283 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.283 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.283 * [taylor]: Taking taylor expansion of 2 in y 3.283 * [backup-simplify]: Simplify 2 into 2 3.283 * [taylor]: Taking taylor expansion of y in y 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 1 into 1 3.283 * [backup-simplify]: Simplify (* 2 0) into 0 3.283 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 3.284 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [taylor]: Taking taylor expansion of 0 in y 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.285 * [backup-simplify]: Simplify 2 into 2 3.285 * [backup-simplify]: Simplify (* 1 1) into 1 3.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 3.286 * [backup-simplify]: Simplify (+ 1 0) into 1 3.286 * [taylor]: Taking taylor expansion of 1 in y 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.287 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.289 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.290 * [backup-simplify]: Simplify (+ 0 0) into 0 3.290 * [taylor]: Taking taylor expansion of 0 in y 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 3.291 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 3.291 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 3.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.292 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.292 * [taylor]: Taking taylor expansion of x in y 3.292 * [backup-simplify]: Simplify x into x 3.292 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.292 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.292 * [taylor]: Taking taylor expansion of 2 in y 3.292 * [backup-simplify]: Simplify 2 into 2 3.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.292 * [taylor]: Taking taylor expansion of y in y 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (/ 1 1) into 1 3.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.293 * [taylor]: Taking taylor expansion of x in x 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [backup-simplify]: Simplify (* 1 1) into 1 3.293 * [backup-simplify]: Simplify (/ 1 1) into 1 3.293 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.293 * [taylor]: Taking taylor expansion of 2 in x 3.293 * [backup-simplify]: Simplify 2 into 2 3.293 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.293 * [taylor]: Taking taylor expansion of y in x 3.293 * [backup-simplify]: Simplify y into y 3.293 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.294 * [taylor]: Taking taylor expansion of x in x 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.294 * [backup-simplify]: Simplify (* 1 1) into 1 3.294 * [backup-simplify]: Simplify (/ 1 1) into 1 3.294 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.294 * [taylor]: Taking taylor expansion of 2 in x 3.294 * [backup-simplify]: Simplify 2 into 2 3.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.294 * [taylor]: Taking taylor expansion of y in x 3.294 * [backup-simplify]: Simplify y into y 3.295 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.295 * [backup-simplify]: Simplify (+ 1 0) into 1 3.295 * [taylor]: Taking taylor expansion of 1 in y 3.295 * [backup-simplify]: Simplify 1 into 1 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ 0 0) into 0 3.297 * [taylor]: Taking taylor expansion of 0 in y 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.299 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.299 * [taylor]: Taking taylor expansion of 2 in y 3.299 * [backup-simplify]: Simplify 2 into 2 3.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.299 * [taylor]: Taking taylor expansion of y in y 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 1 into 1 3.299 * [backup-simplify]: Simplify (/ 1 1) into 1 3.300 * [backup-simplify]: Simplify (* 2 1) into 2 3.300 * [backup-simplify]: Simplify 2 into 2 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.302 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.303 * [backup-simplify]: Simplify (+ 0 0) into 0 3.303 * [taylor]: Taking taylor expansion of 0 in y 3.303 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.308 * [backup-simplify]: Simplify (+ 0 0) into 0 3.308 * [taylor]: Taking taylor expansion of 0 in y 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 3.309 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 3.309 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 3.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 3.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.309 * [taylor]: Taking taylor expansion of x in y 3.309 * [backup-simplify]: Simplify x into x 3.309 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.309 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.309 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.309 * [taylor]: Taking taylor expansion of 2 in y 3.309 * [backup-simplify]: Simplify 2 into 2 3.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.309 * [taylor]: Taking taylor expansion of y in y 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (/ 1 1) into 1 3.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.310 * [taylor]: Taking taylor expansion of x in x 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (* 1 1) into 1 3.311 * [backup-simplify]: Simplify (/ 1 1) into 1 3.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.311 * [taylor]: Taking taylor expansion of 2 in x 3.311 * [backup-simplify]: Simplify 2 into 2 3.311 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.311 * [taylor]: Taking taylor expansion of y in x 3.311 * [backup-simplify]: Simplify y into y 3.311 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.311 * [taylor]: Taking taylor expansion of x in x 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 1 into 1 3.311 * [backup-simplify]: Simplify (* 1 1) into 1 3.312 * [backup-simplify]: Simplify (/ 1 1) into 1 3.312 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.312 * [taylor]: Taking taylor expansion of 2 in x 3.312 * [backup-simplify]: Simplify 2 into 2 3.312 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.312 * [taylor]: Taking taylor expansion of y in x 3.312 * [backup-simplify]: Simplify y into y 3.312 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.312 * [backup-simplify]: Simplify (+ 1 0) into 1 3.312 * [taylor]: Taking taylor expansion of 1 in y 3.312 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (+ 0 0) into 0 3.314 * [taylor]: Taking taylor expansion of 0 in y 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.316 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.316 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 3.316 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 3.316 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 3.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.316 * [taylor]: Taking taylor expansion of 2 in y 3.317 * [backup-simplify]: Simplify 2 into 2 3.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.317 * [taylor]: Taking taylor expansion of y in y 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.318 * [backup-simplify]: Simplify (* 2 1) into 2 3.318 * [backup-simplify]: Simplify (- 2) into -2 3.318 * [backup-simplify]: Simplify -2 into -2 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.325 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.326 * [backup-simplify]: Simplify (- 0) into 0 3.326 * [backup-simplify]: Simplify (+ 0 0) into 0 3.326 * [taylor]: Taking taylor expansion of 0 in y 3.326 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.328 * [backup-simplify]: Simplify (- 0) into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.332 * [backup-simplify]: Simplify (- 0) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [taylor]: Taking taylor expansion of 0 in y 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 3.333 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 3.333 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 3.333 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 3.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 3.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.333 * [taylor]: Taking taylor expansion of x in y 3.333 * [backup-simplify]: Simplify x into x 3.333 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.333 * [taylor]: Taking taylor expansion of 2 in y 3.333 * [backup-simplify]: Simplify 2 into 2 3.333 * [taylor]: Taking taylor expansion of y in y 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 1 into 1 3.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 3.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.333 * [taylor]: Taking taylor expansion of x in x 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 1 into 1 3.333 * [taylor]: Taking taylor expansion of (* 2 y) in x 3.334 * [taylor]: Taking taylor expansion of 2 in x 3.334 * [backup-simplify]: Simplify 2 into 2 3.334 * [taylor]: Taking taylor expansion of y in x 3.334 * [backup-simplify]: Simplify y into y 3.334 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 3.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.334 * [taylor]: Taking taylor expansion of x in x 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 1 into 1 3.334 * [taylor]: Taking taylor expansion of (* 2 y) in x 3.334 * [taylor]: Taking taylor expansion of 2 in x 3.334 * [backup-simplify]: Simplify 2 into 2 3.334 * [taylor]: Taking taylor expansion of y in x 3.334 * [backup-simplify]: Simplify y into y 3.334 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 3.334 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.334 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.334 * [taylor]: Taking taylor expansion of 2 in y 3.334 * [backup-simplify]: Simplify 2 into 2 3.334 * [taylor]: Taking taylor expansion of y in y 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 1 into 1 3.335 * [backup-simplify]: Simplify (* 2 0) into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [taylor]: Taking taylor expansion of 0 in y 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.337 * [backup-simplify]: Simplify 2 into 2 3.338 * [backup-simplify]: Simplify (* 1 1) into 1 3.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 3.339 * [backup-simplify]: Simplify (+ 1 0) into 1 3.339 * [taylor]: Taking taylor expansion of 1 in y 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.340 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.342 * [taylor]: Taking taylor expansion of 0 in y 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 3.344 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 3.344 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 3.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 3.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.344 * [taylor]: Taking taylor expansion of x in y 3.344 * [backup-simplify]: Simplify x into x 3.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.345 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.345 * [taylor]: Taking taylor expansion of 2 in y 3.345 * [backup-simplify]: Simplify 2 into 2 3.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.345 * [taylor]: Taking taylor expansion of y in y 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.345 * [backup-simplify]: Simplify (/ 1 1) into 1 3.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.345 * [taylor]: Taking taylor expansion of x in x 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.346 * [backup-simplify]: Simplify (* 1 1) into 1 3.346 * [backup-simplify]: Simplify (/ 1 1) into 1 3.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.346 * [taylor]: Taking taylor expansion of 2 in x 3.346 * [backup-simplify]: Simplify 2 into 2 3.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.347 * [taylor]: Taking taylor expansion of y in x 3.347 * [backup-simplify]: Simplify y into y 3.347 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.347 * [taylor]: Taking taylor expansion of x in x 3.347 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify 1 into 1 3.347 * [backup-simplify]: Simplify (* 1 1) into 1 3.348 * [backup-simplify]: Simplify (/ 1 1) into 1 3.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.348 * [taylor]: Taking taylor expansion of 2 in x 3.348 * [backup-simplify]: Simplify 2 into 2 3.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.348 * [taylor]: Taking taylor expansion of y in x 3.348 * [backup-simplify]: Simplify y into y 3.348 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.349 * [backup-simplify]: Simplify (+ 1 0) into 1 3.349 * [taylor]: Taking taylor expansion of 1 in y 3.349 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.351 * [backup-simplify]: Simplify (+ 0 0) into 0 3.351 * [taylor]: Taking taylor expansion of 0 in y 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify 1 into 1 3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.353 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.353 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.353 * [taylor]: Taking taylor expansion of 2 in y 3.353 * [backup-simplify]: Simplify 2 into 2 3.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.353 * [taylor]: Taking taylor expansion of y in y 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [backup-simplify]: Simplify (* 2 1) into 2 3.354 * [backup-simplify]: Simplify 2 into 2 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.356 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.357 * [backup-simplify]: Simplify (+ 0 0) into 0 3.357 * [taylor]: Taking taylor expansion of 0 in y 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.361 * [backup-simplify]: Simplify (+ 0 0) into 0 3.361 * [taylor]: Taking taylor expansion of 0 in y 3.361 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 3.362 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 3.362 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 3.362 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 3.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.362 * [taylor]: Taking taylor expansion of x in y 3.362 * [backup-simplify]: Simplify x into x 3.363 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.363 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.363 * [taylor]: Taking taylor expansion of 2 in y 3.363 * [backup-simplify]: Simplify 2 into 2 3.363 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.363 * [taylor]: Taking taylor expansion of y in y 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 1 into 1 3.363 * [backup-simplify]: Simplify (/ 1 1) into 1 3.363 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.363 * [taylor]: Taking taylor expansion of x in x 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (* 1 1) into 1 3.364 * [backup-simplify]: Simplify (/ 1 1) into 1 3.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.364 * [taylor]: Taking taylor expansion of 2 in x 3.364 * [backup-simplify]: Simplify 2 into 2 3.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.364 * [taylor]: Taking taylor expansion of y in x 3.364 * [backup-simplify]: Simplify y into y 3.364 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 3.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.364 * [taylor]: Taking taylor expansion of x in x 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (* 1 1) into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 3.365 * [taylor]: Taking taylor expansion of 2 in x 3.365 * [backup-simplify]: Simplify 2 into 2 3.365 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.365 * [taylor]: Taking taylor expansion of y in x 3.365 * [backup-simplify]: Simplify y into y 3.365 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.366 * [backup-simplify]: Simplify (+ 1 0) into 1 3.366 * [taylor]: Taking taylor expansion of 1 in y 3.366 * [backup-simplify]: Simplify 1 into 1 3.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (+ 0 0) into 0 3.368 * [taylor]: Taking taylor expansion of 0 in y 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.369 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.369 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 3.370 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 3.370 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 3.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.370 * [taylor]: Taking taylor expansion of 2 in y 3.370 * [backup-simplify]: Simplify 2 into 2 3.370 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.370 * [taylor]: Taking taylor expansion of y in y 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (/ 1 1) into 1 3.370 * [backup-simplify]: Simplify (* 2 1) into 2 3.371 * [backup-simplify]: Simplify (- 2) into -2 3.371 * [backup-simplify]: Simplify -2 into -2 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.373 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.374 * [backup-simplify]: Simplify (- 0) into 0 3.374 * [backup-simplify]: Simplify (+ 0 0) into 0 3.374 * [taylor]: Taking taylor expansion of 0 in y 3.374 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.376 * [backup-simplify]: Simplify (- 0) into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.379 * [backup-simplify]: Simplify (- 0) into 0 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [taylor]: Taking taylor expansion of 0 in y 3.379 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 3.380 * * * [progress]: simplifying candidates 3.382 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ 1 1) (+ (log (sqrt (+ (+ (* x x) y) y))) (log (sqrt (+ (+ (* x x) y) y)))) (log (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (exp (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (* (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y)))) (* (cbrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (cbrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))))) (cbrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (* (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (sqrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (sqrt (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))) (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y)))) (sqrt (- (+ (* x x) y) y))) (* (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (- (+ (* x x) y) y)) (sqrt (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))))) (* (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (- (+ (* x x) y) y)) (sqrt (- (+ (* x x) y) y))) (* (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y))))) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y)))) (sqrt (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))))) (* (sqrt (cbrt (+ (+ (* x x) y) y))) (sqrt (cbrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ (* x 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x x) y) y))) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (+ (* x x) y) y)) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y))))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt 1)) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (+ (* x x) y) y)) 1) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (cbrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (sqrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)))) (* (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (- (* (+ (* x x) y) (+ (* x x) y)) (* y y))) (sqrt (+ (+ (* x x) y) y))) (* (* (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)) (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) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 3.387 * * [simplify]: Extracting # 0 : cost 0 3.387 * * [simplify]: Extracting # 1 : cost 0 3.387 * * [simplify]: Extracting # 2 : cost 0 3.387 * * [simplify]: Extracting # 3 : cost 0 3.388 * * [simplify]: Extracting # 4 : cost 0 3.388 * * [simplify]: Extracting # 5 : cost 0 3.388 * * [simplify]: Extracting # 6 : cost 0 3.388 * * [simplify]: Extracting # 7 : cost 0 3.389 * * [simplify]: iteration 0 : 93 enodes (cost 1856 ) 3.433 * * [simplify]: Extracting # 0 : cost 0 3.434 * * [simplify]: Extracting # 1 : cost 0 3.434 * * [simplify]: Extracting # 2 : cost 0 3.434 * * [simplify]: Extracting # 3 : cost 0 3.435 * * [simplify]: Extracting # 4 : cost 0 3.435 * * [simplify]: iteration 1 : 217 enodes (cost 1283 ) 3.578 * * [simplify]: Extracting # 0 : cost 0 3.580 * * [simplify]: Extracting # 1 : cost 0 3.582 * * [simplify]: Extracting # 2 : cost 0 3.584 * * [simplify]: Extracting # 3 : cost 0 3.585 * * [simplify]: Extracting # 4 : cost 0 3.595 * * [simplify]: iteration 2 : 907 enodes (cost 1135 ) 4.312 * * [simplify]: Extracting # 0 : cost 0 4.333 * * [simplify]: Extracting # 1 : cost 0 4.352 * * [simplify]: Extracting # 2 : cost 0 4.364 * * [simplify]: Extracting # 3 : cost 0 4.376 * * [simplify]: Extracting # 4 : cost 0 4.392 * * [simplify]: Extracting # 5 : cost 0 4.405 * * [simplify]: iteration done: 5000 enodes (cost 1054 ) 4.406 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (+ (* x x) y) y)) (+ 3 1)) (+ (+ (* x x) y) y) (pow (sqrt (+ (+ (* x x) y) y)) (+ 3 1)) 2 (log (+ (+ (* x x) y) y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (pow (sqrt (+ (+ (* x x) y) y)) (+ 3 1)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* y y) (* (+ (* x x) y) (* x x))) (* (sqrt (* (* x x) (+ (+ (* x x) y) y))) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (* x x)) (sqrt (+ (* y y) (* (+ (* x x) y) (* x x))))) (* (sqrt (* (* x x) (+ (+ (* x x) y) y))) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (* x x)) (sqrt (+ (* y y) (* (+ (* x x) y) (* x x))))) (* (+ (+ (* x x) y) y) (* x x)) (* x x) (pow (cbrt (sqrt (+ (+ (* x x) y) y))) (+ 3 1)) (* (cbrt (sqrt (+ (+ (* x x) y) y))) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) 1 (+ (+ (* x x) y) y) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) 1 (+ (+ (* x x) y) y) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) 1 2 1 (* (pow (cbrt (sqrt (+ (+ (* x x) y) y))) (+ 3 1)) (cbrt (sqrt (+ (+ (* x x) y) y)))) (* (sqrt (+ (+ (* x x) y) y)) (fabs (cbrt (+ (+ (* x x) y) y)))) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (+ (+ (* x x) y) y)) (pow (cbrt (sqrt (+ (+ (* x x) y) y))) (+ 3 1)) (* (sqrt (cbrt (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (+ (+ (* x x) y) y) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (* (* x x) (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (pow (+ (* x x) y) 3) (pow y 3)))) (* (sqrt (* (* x x) (+ (+ (* x x) y) y))) (sqrt (+ (+ (* x x) y) y))) (exp (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) 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)) (pow (+ (+ (* x x) y) y) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* y y) (* (+ (* x x) y) (* x x))) (* (+ (+ (* x x) y) y) (* x x)) (* x x) (+ (+ (* x x) y) y) (* 2 y) (exp (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) 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)) (pow (+ (+ (* x x) y) y) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* y y) (* (+ (* x x) y) (* x x))) (* (+ (+ (* x x) y) y) (* x x)) (* x x) (+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) 4.407 * * * [progress]: adding candidates to table 4.789 * [progress]: [Phase 3 of 3] Extracting. 4.789 * * [regime]: Finding splitpoints for: (# #) 4.790 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 4.790 * * * * [regimes]: Trying to branch on (* x x) from (# #) 4.841 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 4.898 * * * * [regimes]: Trying to branch on y from (# #) 4.952 * * * * [regimes]: Trying to branch on x from (# #) 5.010 * * * [regime]: Found split indices: #