19.527 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: Extracting # 3 : cost 0 0.038 * * [simplify]: Extracting # 4 : cost 0 0.039 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 0.043 * * [simplify]: Extracting # 0 : cost 0 0.043 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: Extracting # 2 : cost 0 0.044 * * [simplify]: iteration 2 : 11 enodes (cost 7 ) 0.047 * * [simplify]: Extracting # 0 : cost 0 0.047 * * [simplify]: Extracting # 1 : cost 0 0.047 * * [simplify]: Extracting # 2 : cost 0 0.047 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.051 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.051 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.130 * * * [progress]: generating series expansions 0.130 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.130 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.130 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.130 * [taylor]: Taking taylor expansion of 1/2 in y 0.130 * [backup-simplify]: Simplify 1/2 into 1/2 0.130 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.130 * [taylor]: Taking taylor expansion of (+ x y) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [backup-simplify]: Simplify x into x 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (+ x 0) into x 0.131 * [backup-simplify]: Simplify (/ x 1) into x 0.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.131 * [taylor]: Taking taylor expansion of 1/2 in x 0.131 * [backup-simplify]: Simplify 1/2 into 1/2 0.131 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.131 * [taylor]: Taking taylor expansion of (+ x y) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [backup-simplify]: Simplify (+ 0 y) into y 0.131 * [backup-simplify]: Simplify (/ y y) into 1 0.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.131 * [taylor]: Taking taylor expansion of 1/2 in x 0.131 * [backup-simplify]: Simplify 1/2 into 1/2 0.131 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.131 * [taylor]: Taking taylor expansion of (+ x y) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (+ 0 y) into y 0.132 * [backup-simplify]: Simplify (/ y y) into 1 0.133 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.133 * [taylor]: Taking taylor expansion of 1/2 in y 0.133 * [backup-simplify]: Simplify 1/2 into 1/2 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.134 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.134 * [taylor]: Taking taylor expansion of 1/2 in y 0.134 * [backup-simplify]: Simplify 1/2 into 1/2 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.136 * [backup-simplify]: Simplify 1/2 into 1/2 0.136 * [backup-simplify]: Simplify 1/2 into 1/2 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.149 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.149 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.149 * [taylor]: Taking taylor expansion of 1/2 in y 0.149 * [backup-simplify]: Simplify 1/2 into 1/2 0.149 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [backup-simplify]: Simplify x into x 0.150 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.150 * [taylor]: Taking taylor expansion of 1/2 in x 0.150 * [backup-simplify]: Simplify 1/2 into 1/2 0.150 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.150 * [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 0.151 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.151 * [taylor]: Taking taylor expansion of 1/2 in x 0.151 * [backup-simplify]: Simplify 1/2 into 1/2 0.151 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.153 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [backup-simplify]: Simplify (* 1 y) into y 0.153 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.153 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.153 * [taylor]: Taking taylor expansion of 1/2 in y 0.153 * [backup-simplify]: Simplify 1/2 into 1/2 0.153 * [taylor]: Taking taylor expansion of y 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 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.156 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.156 * [taylor]: Taking taylor expansion of 1/2 in y 0.156 * [backup-simplify]: Simplify 1/2 into 1/2 0.156 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1/2 into 1/2 0.161 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.161 * [backup-simplify]: Simplify 1/2 into 1/2 0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.173 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.174 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.174 * [taylor]: Taking taylor expansion of 1/2 in y 0.174 * [backup-simplify]: Simplify 1/2 into 1/2 0.174 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [backup-simplify]: Simplify x into x 0.184 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.184 * [taylor]: Taking taylor expansion of 1/2 in x 0.184 * [backup-simplify]: Simplify 1/2 into 1/2 0.184 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [backup-simplify]: Simplify y into y 0.185 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.186 * [taylor]: Taking taylor expansion of 1/2 in x 0.186 * [backup-simplify]: Simplify 1/2 into 1/2 0.186 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [backup-simplify]: Simplify y into y 0.187 * [backup-simplify]: Simplify (+ 0 1) into 1 0.188 * [backup-simplify]: Simplify (* 1 y) into y 0.188 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.188 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.188 * [taylor]: Taking taylor expansion of 1/2 in y 0.188 * [backup-simplify]: Simplify 1/2 into 1/2 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.190 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.190 * [taylor]: Taking taylor expansion of 1/2 in y 0.190 * [backup-simplify]: Simplify 1/2 into 1/2 0.191 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1/2 into 1/2 0.196 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.196 * [backup-simplify]: Simplify 1/2 into 1/2 0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.204 * * * [progress]: simplifying candidates 0.205 * [simplify]: Simplifying: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.207 * * [simplify]: Extracting # 0 : cost 0 0.207 * * [simplify]: Extracting # 1 : cost 0 0.208 * * [simplify]: Extracting # 2 : cost 0 0.208 * * [simplify]: Extracting # 3 : cost 0 0.208 * * [simplify]: Extracting # 4 : cost 0 0.208 * * [simplify]: Extracting # 5 : cost 0 0.208 * * [simplify]: iteration 0 : 114 enodes (cost 1089 ) 0.239 * * [simplify]: Extracting # 0 : cost 0 0.239 * * [simplify]: Extracting # 1 : cost 0 0.240 * * [simplify]: Extracting # 2 : cost 0 0.240 * * [simplify]: Extracting # 3 : cost 0 0.241 * * [simplify]: Extracting # 4 : cost 0 0.242 * * [simplify]: iteration 1 : 233 enodes (cost 986 ) 0.324 * * [simplify]: Extracting # 0 : cost 0 0.325 * * [simplify]: Extracting # 1 : cost 0 0.327 * * [simplify]: Extracting # 2 : cost 0 0.328 * * [simplify]: Extracting # 3 : cost 0 0.330 * * [simplify]: Extracting # 4 : cost 0 0.331 * * [simplify]: iteration 2 : 616 enodes (cost 955 ) 0.863 * * [simplify]: Extracting # 0 : cost 0 0.865 * * [simplify]: Extracting # 1 : cost 0 0.868 * * [simplify]: Extracting # 2 : cost 0 0.871 * * [simplify]: Extracting # 3 : cost 0 0.876 * * [simplify]: iteration 3 : 1654 enodes (cost 955 ) 3.336 * * [simplify]: Extracting # 0 : cost 0 3.349 * * [simplify]: Extracting # 1 : cost 0 3.363 * * [simplify]: Extracting # 2 : cost 0 3.369 * * [simplify]: Extracting # 3 : cost 0 3.375 * * [simplify]: Extracting # 4 : cost 0 3.381 * * [simplify]: iteration done: 5001 enodes (cost 954 ) 3.381 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (sqrt (exp (/ (+ x y) y))) (pow (/ (+ x y) (+ y y)) 3) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (pow (/ (+ x y) (+ y y)) 3) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (* -2 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (* 2 (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (* 2 (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (* 2 (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* 2 (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* 2 (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* 2 (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* 2 (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* 2 (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* 2 (pow y 3))) (/ (+ x y) 0) (* (+ y y) (fma x x (* y (- y x)))) (* (+ y y) (- x y)) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 3.382 * * * [progress]: adding candidates to table 3.538 * * [progress]: iteration 2 / 4 3.538 * * * [progress]: picking best candidate 3.540 * * * * [pick]: Picked # 3.540 * * * [progress]: localizing error 3.545 * * * [progress]: generating rewritten candidates 3.545 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.546 * * * [progress]: generating series expansions 3.546 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.546 * [backup-simplify]: Simplify (fma 1/2 (/ x y) 1/2) into (fma 1/2 (/ x y) 1/2) 3.546 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in (x y) around 0 3.546 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in y 3.546 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 3.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.546 * [taylor]: Taking taylor expansion of 1/2 in y 3.546 * [backup-simplify]: Simplify 1/2 into 1/2 3.546 * [taylor]: Taking taylor expansion of (/ x y) in y 3.546 * [taylor]: Taking taylor expansion of x in y 3.547 * [backup-simplify]: Simplify x into x 3.547 * [taylor]: Taking taylor expansion of y in y 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [backup-simplify]: Simplify (/ x 1) into x 3.547 * [taylor]: Taking taylor expansion of 1/2 in y 3.547 * [backup-simplify]: Simplify 1/2 into 1/2 3.547 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 3.547 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 3.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.547 * [taylor]: Taking taylor expansion of 1/2 in x 3.547 * [backup-simplify]: Simplify 1/2 into 1/2 3.547 * [taylor]: Taking taylor expansion of (/ x y) in x 3.547 * [taylor]: Taking taylor expansion of x in x 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [taylor]: Taking taylor expansion of y in x 3.547 * [backup-simplify]: Simplify y into y 3.547 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.547 * [taylor]: Taking taylor expansion of 1/2 in x 3.547 * [backup-simplify]: Simplify 1/2 into 1/2 3.547 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 3.547 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 3.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.547 * [taylor]: Taking taylor expansion of 1/2 in x 3.547 * [backup-simplify]: Simplify 1/2 into 1/2 3.547 * [taylor]: Taking taylor expansion of (/ x y) in x 3.547 * [taylor]: Taking taylor expansion of x in x 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [taylor]: Taking taylor expansion of y in x 3.547 * [backup-simplify]: Simplify y into y 3.547 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.547 * [taylor]: Taking taylor expansion of 1/2 in x 3.547 * [backup-simplify]: Simplify 1/2 into 1/2 3.548 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.548 * [taylor]: Taking taylor expansion of 1/2 in y 3.548 * [backup-simplify]: Simplify 1/2 into 1/2 3.548 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 3.548 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 3.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 3.548 * [taylor]: Taking taylor expansion of 1/2 in y 3.548 * [backup-simplify]: Simplify 1/2 into 1/2 3.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.548 * [taylor]: Taking taylor expansion of y in y 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (/ 1 1) into 1 3.549 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.549 * [backup-simplify]: Simplify 1/2 into 1/2 3.549 * [backup-simplify]: Simplify 1/2 into 1/2 3.550 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 3.550 * [backup-simplify]: Simplify (+ 0 0) into 0 3.550 * [taylor]: Taking taylor expansion of 0 in y 3.550 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.552 * [backup-simplify]: Simplify (+ 0 0) into 0 3.552 * [taylor]: Taking taylor expansion of 0 in y 3.552 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.555 * [backup-simplify]: Simplify (+ 0 0) into 0 3.555 * [taylor]: Taking taylor expansion of 0 in y 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 3.555 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 x) (/ 1 y)) 1/2) into (fma 1/2 (/ y x) 1/2) 3.555 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 3.555 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 3.556 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.556 * [taylor]: Taking taylor expansion of 1/2 in y 3.556 * [backup-simplify]: Simplify 1/2 into 1/2 3.556 * [taylor]: Taking taylor expansion of (/ y x) in y 3.556 * [taylor]: Taking taylor expansion of y in y 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 1 into 1 3.556 * [taylor]: Taking taylor expansion of x in y 3.556 * [backup-simplify]: Simplify x into x 3.556 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.556 * [taylor]: Taking taylor expansion of 1/2 in y 3.556 * [backup-simplify]: Simplify 1/2 into 1/2 3.556 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 3.556 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.556 * [taylor]: Taking taylor expansion of 1/2 in x 3.556 * [backup-simplify]: Simplify 1/2 into 1/2 3.556 * [taylor]: Taking taylor expansion of (/ y x) in x 3.556 * [taylor]: Taking taylor expansion of y in x 3.556 * [backup-simplify]: Simplify y into y 3.556 * [taylor]: Taking taylor expansion of x in x 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 1 into 1 3.556 * [backup-simplify]: Simplify (/ y 1) into y 3.556 * [taylor]: Taking taylor expansion of 1/2 in x 3.556 * [backup-simplify]: Simplify 1/2 into 1/2 3.556 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 3.556 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.556 * [taylor]: Taking taylor expansion of 1/2 in x 3.556 * [backup-simplify]: Simplify 1/2 into 1/2 3.556 * [taylor]: Taking taylor expansion of (/ y x) in x 3.556 * [taylor]: Taking taylor expansion of y in x 3.556 * [backup-simplify]: Simplify y into y 3.556 * [taylor]: Taking taylor expansion of x in x 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 1 into 1 3.557 * [backup-simplify]: Simplify (/ y 1) into y 3.557 * [taylor]: Taking taylor expansion of 1/2 in x 3.557 * [backup-simplify]: Simplify 1/2 into 1/2 3.557 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.557 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 3.557 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.557 * [taylor]: Taking taylor expansion of 1/2 in y 3.557 * [backup-simplify]: Simplify 1/2 into 1/2 3.557 * [taylor]: Taking taylor expansion of y in y 3.557 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify 1 into 1 3.557 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.557 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.559 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.559 * [taylor]: Taking taylor expansion of 1/2 in y 3.559 * [backup-simplify]: Simplify 1/2 into 1/2 3.559 * [backup-simplify]: Simplify 1/2 into 1/2 3.559 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.559 * [backup-simplify]: Simplify 1/2 into 1/2 3.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.561 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [taylor]: Taking taylor expansion of 0 in y 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.564 * [taylor]: Taking taylor expansion of 0 in y 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 3.565 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- x)) (/ 1 (- y))) 1/2) into (fma 1/2 (/ y x) 1/2) 3.565 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 3.565 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 3.565 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.565 * [taylor]: Taking taylor expansion of 1/2 in y 3.565 * [backup-simplify]: Simplify 1/2 into 1/2 3.565 * [taylor]: Taking taylor expansion of (/ y x) in y 3.565 * [taylor]: Taking taylor expansion of y in y 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 1 into 1 3.565 * [taylor]: Taking taylor expansion of x in y 3.565 * [backup-simplify]: Simplify x into x 3.565 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.565 * [taylor]: Taking taylor expansion of 1/2 in y 3.565 * [backup-simplify]: Simplify 1/2 into 1/2 3.565 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 3.565 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.565 * [taylor]: Taking taylor expansion of 1/2 in x 3.565 * [backup-simplify]: Simplify 1/2 into 1/2 3.565 * [taylor]: Taking taylor expansion of (/ y x) in x 3.565 * [taylor]: Taking taylor expansion of y in x 3.565 * [backup-simplify]: Simplify y into y 3.566 * [taylor]: Taking taylor expansion of x in x 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.566 * [backup-simplify]: Simplify (/ y 1) into y 3.566 * [taylor]: Taking taylor expansion of 1/2 in x 3.566 * [backup-simplify]: Simplify 1/2 into 1/2 3.566 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 3.566 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.566 * [taylor]: Taking taylor expansion of 1/2 in x 3.566 * [backup-simplify]: Simplify 1/2 into 1/2 3.566 * [taylor]: Taking taylor expansion of (/ y x) in x 3.566 * [taylor]: Taking taylor expansion of y in x 3.566 * [backup-simplify]: Simplify y into y 3.566 * [taylor]: Taking taylor expansion of x in x 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.566 * [backup-simplify]: Simplify (/ y 1) into y 3.566 * [taylor]: Taking taylor expansion of 1/2 in x 3.566 * [backup-simplify]: Simplify 1/2 into 1/2 3.566 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.566 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 3.566 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.566 * [taylor]: Taking taylor expansion of 1/2 in y 3.566 * [backup-simplify]: Simplify 1/2 into 1/2 3.566 * [taylor]: Taking taylor expansion of y in y 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.568 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.568 * [taylor]: Taking taylor expansion of 1/2 in y 3.568 * [backup-simplify]: Simplify 1/2 into 1/2 3.568 * [backup-simplify]: Simplify 1/2 into 1/2 3.569 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.569 * [backup-simplify]: Simplify 1/2 into 1/2 3.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.571 * [backup-simplify]: Simplify (+ 0 0) into 0 3.571 * [taylor]: Taking taylor expansion of 0 in y 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.572 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.574 * [backup-simplify]: Simplify (+ 0 0) into 0 3.574 * [taylor]: Taking taylor expansion of 0 in y 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 3.574 * * * [progress]: simplifying candidates 3.575 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* 1/2 (/ x y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (* (* (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2)) (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 3.575 * * [simplify]: Extracting # 0 : cost 0 3.575 * * [simplify]: Extracting # 1 : cost 0 3.575 * * [simplify]: Extracting # 2 : cost 0 3.575 * * [simplify]: Extracting # 3 : cost 0 3.575 * * [simplify]: Extracting # 4 : cost 0 3.575 * * [simplify]: Extracting # 5 : cost 0 3.575 * * [simplify]: iteration 0 : 16 enodes (cost 110 ) 3.578 * * [simplify]: Extracting # 0 : cost 0 3.578 * * [simplify]: Extracting # 1 : cost 0 3.578 * * [simplify]: Extracting # 2 : cost 0 3.578 * * [simplify]: iteration 1 : 21 enodes (cost 107 ) 3.582 * * [simplify]: Extracting # 0 : cost 0 3.582 * * [simplify]: Extracting # 1 : cost 0 3.582 * * [simplify]: Extracting # 2 : cost 0 3.583 * * [simplify]: Extracting # 3 : cost 0 3.583 * * [simplify]: iteration 2 : 51 enodes (cost 95 ) 3.606 * * [simplify]: Extracting # 0 : cost 0 3.606 * * [simplify]: Extracting # 1 : cost 0 3.607 * * [simplify]: Extracting # 2 : cost 0 3.607 * * [simplify]: Extracting # 3 : cost 0 3.608 * * [simplify]: Extracting # 4 : cost 0 3.608 * * [simplify]: iteration 3 : 182 enodes (cost 95 ) 3.879 * * [simplify]: Extracting # 0 : cost 0 3.881 * * [simplify]: Extracting # 1 : cost 0 3.882 * * [simplify]: Extracting # 2 : cost 0 3.883 * * [simplify]: Extracting # 3 : cost 0 3.885 * * [simplify]: Extracting # 4 : cost 0 3.886 * * [simplify]: Extracting # 5 : cost 0 3.887 * * [simplify]: iteration 4 : 735 enodes (cost 95 ) 6.120 * * [simplify]: Extracting # 0 : cost 0 6.127 * * [simplify]: Extracting # 1 : cost 0 6.130 * * [simplify]: Extracting # 2 : cost 0 6.133 * * [simplify]: Extracting # 3 : cost 0 6.136 * * [simplify]: Extracting # 4 : cost 0 6.140 * * [simplify]: iteration 5 : 3296 enodes (cost 95 ) 8.107 * * [simplify]: Extracting # 0 : cost 0 8.117 * * [simplify]: Extracting # 1 : cost 0 8.127 * * [simplify]: Extracting # 2 : cost 0 8.140 * * [simplify]: Extracting # 3 : cost 0 8.145 * * [simplify]: iteration done: 5000 enodes (cost 95 ) 8.145 * [simplify]: Simplified to: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* x (/ 1/2 y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (pow (fma 1/2 (/ x y) 1/2) 3) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (fma x (/ 1/2 y) 1/2) (fma x (/ 1/2 y) 1/2) (fma x (/ 1/2 y) 1/2) 8.146 * * * [progress]: adding candidates to table 8.180 * [progress]: [Phase 3 of 3] Extracting. 8.181 * * [regime]: Finding splitpoints for: (# #) 8.181 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y y)) y x) 8.181 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y y)) from (# #) 8.205 * * * * [regimes]: Trying to branch on y from (# #) 8.226 * * * * [regimes]: Trying to branch on x from (# #) 8.247 * * * [regime]: Found split indices: #