92.653 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying: (/ (+ x y) (* (* x 2.0) y)) 0.034 * * [simplify]: iteration 0: 7 enodes 0.037 * * [simplify]: iteration 1: 14 enodes 0.043 * * [simplify]: iteration 2: 24 enodes 0.051 * * [simplify]: iteration 3: 25 enodes 0.059 * * [simplify]: iteration complete: 25 enodes 0.060 * * [simplify]: Extracting #0: cost 1 inf + 0 0.060 * * [simplify]: Extracting #1: cost 5 inf + 0 0.060 * * [simplify]: Extracting #2: cost 11 inf + 1 0.060 * * [simplify]: Extracting #3: cost 8 inf + 45 0.060 * * [simplify]: Extracting #4: cost 0 inf + 705 0.060 * [simplify]: Simplified to: (/ (+ x y) (* (* y x) 2.0)) 0.061 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.068 * * * * [pick]: Picked # 0.068 * * * [progress]: localizing error 0.087 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.154 * * * [progress]: generating series expansions 0.154 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.154 * [backup-simplify]: Simplify (/ (+ x y) (* (* x 2.0) y)) into (* 0.5 (/ (+ x y) (* x y))) 0.154 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.154 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.154 * [taylor]: Taking taylor expansion of 0.5 in y 0.154 * [backup-simplify]: Simplify 0.5 into 0.5 0.154 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.154 * [taylor]: Taking taylor expansion of (+ x y) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of (* x y) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 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 (+ x 0) into x 0.155 * [backup-simplify]: Simplify (* x 0) into 0 0.155 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.156 * [backup-simplify]: Simplify (/ x x) into 1 0.156 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.156 * [taylor]: Taking taylor expansion of 0.5 in x 0.156 * [backup-simplify]: Simplify 0.5 into 0.5 0.156 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.156 * [taylor]: Taking taylor expansion of (+ x y) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [backup-simplify]: Simplify y into y 0.156 * [taylor]: Taking taylor expansion of (* x y) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [backup-simplify]: Simplify y into y 0.156 * [backup-simplify]: Simplify (+ 0 y) into y 0.156 * [backup-simplify]: Simplify (* 0 y) into 0 0.157 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.157 * [backup-simplify]: Simplify (/ y y) into 1 0.157 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.157 * [taylor]: Taking taylor expansion of 0.5 in x 0.157 * [backup-simplify]: Simplify 0.5 into 0.5 0.157 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.157 * [taylor]: Taking taylor expansion of (+ x y) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [taylor]: Taking taylor expansion of (* x y) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [backup-simplify]: Simplify (+ 0 y) into y 0.157 * [backup-simplify]: Simplify (* 0 y) into 0 0.158 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.158 * [backup-simplify]: Simplify (/ y y) into 1 0.158 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.158 * [taylor]: Taking taylor expansion of 0.5 in y 0.158 * [backup-simplify]: Simplify 0.5 into 0.5 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.160 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.161 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (* 0 1)) into (* 0.5 (/ 1 y)) 0.161 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.161 * [taylor]: Taking taylor expansion of 0.5 in y 0.161 * [backup-simplify]: Simplify 0.5 into 0.5 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.162 * [backup-simplify]: Simplify 0.5 into 0.5 0.162 * [backup-simplify]: Simplify 0.5 into 0.5 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.164 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (* 0 1))) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.177 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.184 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 x))) (* 0.5 (* (/ 1 y) 1))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.186 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 0.186 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.186 * [taylor]: Taking taylor expansion of 0.5 in y 0.186 * [backup-simplify]: Simplify 0.5 into 0.5 0.186 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.186 * [taylor]: Taking taylor expansion of y in y 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 (/ 1 x) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 0.187 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.187 * [taylor]: Taking taylor expansion of (* y x) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 0.187 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.187 * [taylor]: Taking taylor expansion of 0.5 in x 0.187 * [backup-simplify]: Simplify 0.5 into 0.5 0.187 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [backup-simplify]: Simplify y into y 0.187 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of (* y x) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.188 * [taylor]: Taking taylor expansion of 0.5 in x 0.188 * [backup-simplify]: Simplify 0.5 into 0.5 0.188 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [backup-simplify]: Simplify y into y 0.189 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of (* y x) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [backup-simplify]: Simplify y into y 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (+ 0 1) into 1 0.190 * [backup-simplify]: Simplify (* y 0) into 0 0.192 * [backup-simplify]: Simplify (* 1 0) into 0 0.192 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.194 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 0.194 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 0.194 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.194 * [taylor]: Taking taylor expansion of 0.5 in y 0.194 * [backup-simplify]: Simplify 0.5 into 0.5 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 0.199 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 y) (* 0 0))) into 0.5 0.199 * [taylor]: Taking taylor expansion of 0.5 in y 0.199 * [backup-simplify]: Simplify 0.5 into 0.5 0.200 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0.5 into 0.5 0.206 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.206 * [backup-simplify]: Simplify 0.5 into 0.5 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 x)))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.221 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 0.221 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.221 * [taylor]: Taking taylor expansion of -0.5 in y 0.221 * [backup-simplify]: Simplify -0.5 into -0.5 0.221 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [backup-simplify]: Simplify x into x 0.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.222 * [taylor]: Taking taylor expansion of (* y x) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [backup-simplify]: Simplify x into x 0.222 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.222 * [taylor]: Taking taylor expansion of -0.5 in x 0.222 * [backup-simplify]: Simplify -0.5 into -0.5 0.222 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [backup-simplify]: Simplify y into y 0.222 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of (* y x) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [backup-simplify]: Simplify y into y 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.223 * [taylor]: Taking taylor expansion of -0.5 in x 0.223 * [backup-simplify]: Simplify -0.5 into -0.5 0.223 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [backup-simplify]: Simplify y into y 0.223 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [taylor]: Taking taylor expansion of (* y x) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [backup-simplify]: Simplify y into y 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (+ 0 1) into 1 0.226 * [backup-simplify]: Simplify (* y 0) into 0 0.227 * [backup-simplify]: Simplify (* 1 0) into 0 0.227 * [backup-simplify]: Simplify (* -0.5 0) into 0 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.229 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 0.229 * [backup-simplify]: Simplify (+ (* -0.5 y) (* 0 0)) into (- (* 0.5 y)) 0.229 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.229 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.229 * [taylor]: Taking taylor expansion of 0.5 in y 0.229 * [backup-simplify]: Simplify 0.5 into 0.5 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 0.234 * [backup-simplify]: Simplify (+ (* -0.5 1) (+ (* 0 y) (* 0 0))) into (- 0.5) 0.234 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.234 * [taylor]: Taking taylor expansion of 0.5 in y 0.234 * [backup-simplify]: Simplify 0.5 into 0.5 0.234 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.240 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.241 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.241 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.242 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.248 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 0.256 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) 1)) (* (- 0.5) (* 1 (/ 1 (- x))))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.258 * * * [progress]: simplifying candidates 0.259 * [simplify]: Simplifying: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.260 * * [simplify]: iteration 0: 75 enodes 0.295 * * [simplify]: iteration 1: 220 enodes 0.462 * * [simplify]: iteration 2: 827 enodes 1.948 * * [simplify]: iteration complete: 5015 enodes 1.948 * * [simplify]: Extracting #0: cost 24 inf + 0 1.950 * * [simplify]: Extracting #1: cost 659 inf + 0 1.960 * * [simplify]: Extracting #2: cost 1579 inf + 489 1.988 * * [simplify]: Extracting #3: cost 1429 inf + 58626 2.128 * * [simplify]: Extracting #4: cost 262 inf + 269220 2.259 * * [simplify]: Extracting #5: cost 8 inf + 326197 2.550 * * [simplify]: Extracting #6: cost 0 inf + 326541 2.804 * * [simplify]: Extracting #7: cost 0 inf + 326421 2.943 * [simplify]: Simplified to: (expm1 (/ (+ x y) (* 2.0 (* y x)))) (log1p (/ (+ x y) (* 2.0 (* y x)))) (log (/ (+ x y) (* 2.0 (* y x)))) (log (/ (+ x y) (* 2.0 (* y x)))) (log (/ (+ x y) (* 2.0 (* y x)))) (log (/ (+ x y) (* 2.0 (* y x)))) (exp (/ (+ x y) (* 2.0 (* y x)))) (* (* (/ (+ x y) (* 2.0 (* y x))) (/ (+ x y) (* 2.0 (* y x)))) (/ (+ x y) (* 2.0 (* y x)))) (* (* (/ (+ x y) (* 2.0 (* y x))) (/ (+ x y) (* 2.0 (* y x)))) (/ (+ x y) (* 2.0 (* y x)))) (* (* (/ (+ x y) (* 2.0 (* y x))) (/ (+ x y) (* 2.0 (* y x)))) (/ (+ x y) (* 2.0 (* y x)))) (* (cbrt (/ (+ x y) (* 2.0 (* y x)))) (cbrt (/ (+ x y) (* 2.0 (* y x))))) (cbrt (/ (+ x y) (* 2.0 (* y x)))) (* (* (/ (+ x y) (* 2.0 (* y x))) (/ (+ x y) (* 2.0 (* y x)))) (/ (+ x y) (* 2.0 (* y x)))) (sqrt (/ (+ x y) (* 2.0 (* y x)))) (sqrt (/ (+ x y) (* 2.0 (* y x)))) (- (+ x y)) (* (* (- y) 2.0) x) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2.0) x) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* 2.0 x)) (/ (sqrt (+ x y)) y) (/ 1 (* 2.0 x)) (/ (+ x y) y) (/ 1 (* 2.0 x)) (/ (+ x y) y) (/ (/ (/ 1 x) y) 2.0) (/ 2.0 (/ (+ x y) (* y x))) (/ (+ x y) (* 2.0 x)) (/ (* 2.0 y) (/ (cbrt (+ x y)) x)) (/ (* 2.0 x) (/ (sqrt (+ x y)) y)) (/ 2.0 (/ (+ x y) (* y x))) (/ 2.0 (/ (+ x y) (* y x))) (* (* 2.0 x) (* y (fma y (- y x) (* x x)))) (* x (* (* 2.0 y) (- x y))) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) 2.945 * * * [progress]: adding candidates to table 3.141 * * [progress]: iteration 2 / 4 3.141 * * * [progress]: picking best candidate 3.155 * * * * [pick]: Picked # 3.156 * * * [progress]: localizing error 3.171 * * * [progress]: generating rewritten candidates 3.171 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.230 * * * [progress]: generating series expansions 3.230 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.231 * [backup-simplify]: Simplify (+ (/ 0.5 y) (/ 0.5 x)) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 3.231 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (y x) around 0 3.231 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 3.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 3.231 * [taylor]: Taking taylor expansion of 0.5 in x 3.231 * [backup-simplify]: Simplify 0.5 into 0.5 3.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.231 * [taylor]: Taking taylor expansion of y in x 3.231 * [backup-simplify]: Simplify y into y 3.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 3.231 * [taylor]: Taking taylor expansion of 0.5 in x 3.231 * [backup-simplify]: Simplify 0.5 into 0.5 3.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.231 * [taylor]: Taking taylor expansion of x in x 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (/ 1 1) into 1 3.232 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 3.232 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 3.232 * [taylor]: Taking taylor expansion of 0.5 in y 3.232 * [backup-simplify]: Simplify 0.5 into 0.5 3.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.232 * [taylor]: Taking taylor expansion of y in y 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (/ 1 1) into 1 3.233 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 3.233 * [taylor]: Taking taylor expansion of 0.5 in y 3.233 * [backup-simplify]: Simplify 0.5 into 0.5 3.233 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.233 * [taylor]: Taking taylor expansion of x in y 3.233 * [backup-simplify]: Simplify x into x 3.233 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.233 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 3.233 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 3.233 * [taylor]: Taking taylor expansion of 0.5 in y 3.233 * [backup-simplify]: Simplify 0.5 into 0.5 3.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.233 * [taylor]: Taking taylor expansion of y in y 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (/ 1 1) into 1 3.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 3.234 * [taylor]: Taking taylor expansion of 0.5 in y 3.234 * [backup-simplify]: Simplify 0.5 into 0.5 3.234 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.234 * [taylor]: Taking taylor expansion of x in y 3.234 * [backup-simplify]: Simplify x into x 3.234 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.234 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.235 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.235 * [taylor]: Taking taylor expansion of 0.5 in x 3.235 * [backup-simplify]: Simplify 0.5 into 0.5 3.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.236 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.236 * [backup-simplify]: Simplify (+ 0 (/ 0.5 x)) into (* 0.5 (/ 1 x)) 3.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 3.237 * [taylor]: Taking taylor expansion of 0.5 in x 3.237 * [backup-simplify]: Simplify 0.5 into 0.5 3.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.237 * [taylor]: Taking taylor expansion of x in x 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify (/ 1 1) into 1 3.237 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.238 * [backup-simplify]: Simplify 0.5 into 0.5 3.238 * [backup-simplify]: Simplify 0.5 into 0.5 3.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.239 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.241 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 3.241 * [backup-simplify]: Simplify (+ 0 0) into 0 3.241 * [taylor]: Taking taylor expansion of 0 in x 3.241 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.247 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.248 * [backup-simplify]: Simplify (+ 0 0) into 0 3.248 * [taylor]: Taking taylor expansion of 0 in x 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.254 * [taylor]: Taking taylor expansion of 0 in x 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 y))) (* 0.5 (* (/ 1 x) 1))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 3.255 * [backup-simplify]: Simplify (+ (/ 0.5 (/ 1 y)) (/ 0.5 (/ 1 x))) into (+ (* 0.5 x) (* 0.5 y)) 3.255 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in (y x) around 0 3.255 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 3.255 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.255 * [taylor]: Taking taylor expansion of 0.5 in x 3.255 * [backup-simplify]: Simplify 0.5 into 0.5 3.255 * [taylor]: Taking taylor expansion of x in x 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 3.255 * [taylor]: Taking taylor expansion of 0.5 in x 3.255 * [backup-simplify]: Simplify 0.5 into 0.5 3.255 * [taylor]: Taking taylor expansion of y in x 3.255 * [backup-simplify]: Simplify y into y 3.255 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 3.255 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 3.255 * [taylor]: Taking taylor expansion of 0.5 in y 3.255 * [backup-simplify]: Simplify 0.5 into 0.5 3.255 * [taylor]: Taking taylor expansion of x in y 3.255 * [backup-simplify]: Simplify x into x 3.255 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 3.255 * [taylor]: Taking taylor expansion of 0.5 in y 3.255 * [backup-simplify]: Simplify 0.5 into 0.5 3.255 * [taylor]: Taking taylor expansion of y in y 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.255 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 3.255 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 3.255 * [taylor]: Taking taylor expansion of 0.5 in y 3.256 * [backup-simplify]: Simplify 0.5 into 0.5 3.256 * [taylor]: Taking taylor expansion of x in y 3.256 * [backup-simplify]: Simplify x into x 3.256 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 3.256 * [taylor]: Taking taylor expansion of 0.5 in y 3.256 * [backup-simplify]: Simplify 0.5 into 0.5 3.256 * [taylor]: Taking taylor expansion of y in y 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 3.256 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.256 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 3.257 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.257 * [taylor]: Taking taylor expansion of 0.5 in x 3.257 * [backup-simplify]: Simplify 0.5 into 0.5 3.257 * [taylor]: Taking taylor expansion of x in x 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 x)) into 0 3.259 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.259 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 3.260 * [taylor]: Taking taylor expansion of 0.5 in x 3.260 * [backup-simplify]: Simplify 0.5 into 0.5 3.260 * [backup-simplify]: Simplify 0.5 into 0.5 3.261 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.261 * [backup-simplify]: Simplify 0.5 into 0.5 3.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 x))) into 0 3.263 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.264 * [backup-simplify]: Simplify (+ 0 0) into 0 3.264 * [taylor]: Taking taylor expansion of 0 in x 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [taylor]: Taking taylor expansion of 0 in x 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 x) 1)) (* 0.5 (* 1 (/ 1 y)))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 3.269 * [backup-simplify]: Simplify (+ (/ 0.5 (/ 1 (- y))) (/ 0.5 (/ 1 (- x)))) into (- (+ (* 0.5 x) (* 0.5 y))) 3.269 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in (y x) around 0 3.269 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in x 3.269 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in x 3.269 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.269 * [taylor]: Taking taylor expansion of 0.5 in x 3.269 * [backup-simplify]: Simplify 0.5 into 0.5 3.269 * [taylor]: Taking taylor expansion of x in x 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 3.269 * [taylor]: Taking taylor expansion of 0.5 in x 3.269 * [backup-simplify]: Simplify 0.5 into 0.5 3.269 * [taylor]: Taking taylor expansion of y in x 3.269 * [backup-simplify]: Simplify y into y 3.269 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in y 3.269 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 3.269 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 3.269 * [taylor]: Taking taylor expansion of 0.5 in y 3.269 * [backup-simplify]: Simplify 0.5 into 0.5 3.269 * [taylor]: Taking taylor expansion of x in y 3.269 * [backup-simplify]: Simplify x into x 3.269 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 3.269 * [taylor]: Taking taylor expansion of 0.5 in y 3.270 * [backup-simplify]: Simplify 0.5 into 0.5 3.270 * [taylor]: Taking taylor expansion of y in y 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.5 y))) in y 3.270 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.5 y)) in y 3.270 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 3.270 * [taylor]: Taking taylor expansion of 0.5 in y 3.270 * [backup-simplify]: Simplify 0.5 into 0.5 3.270 * [taylor]: Taking taylor expansion of x in y 3.270 * [backup-simplify]: Simplify x into x 3.270 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 3.270 * [taylor]: Taking taylor expansion of 0.5 in y 3.270 * [backup-simplify]: Simplify 0.5 into 0.5 3.270 * [taylor]: Taking taylor expansion of y in y 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 3.271 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.271 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 3.271 * [backup-simplify]: Simplify (- (* 0.5 x)) into (- (* 0.5 x)) 3.271 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 3.271 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 3.271 * [taylor]: Taking taylor expansion of 0.5 in x 3.271 * [backup-simplify]: Simplify 0.5 into 0.5 3.271 * [taylor]: Taking taylor expansion of x in x 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.272 * [backup-simplify]: Simplify (- 0) into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 x)) into 0 3.274 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.274 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 3.275 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.275 * [taylor]: Taking taylor expansion of (- 0.5) in x 3.275 * [taylor]: Taking taylor expansion of 0.5 in x 3.275 * [backup-simplify]: Simplify 0.5 into 0.5 3.275 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.275 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.277 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.277 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.278 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.278 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 x))) into 0 3.279 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.280 * [backup-simplify]: Simplify (+ 0 0) into 0 3.280 * [backup-simplify]: Simplify (- 0) into 0 3.280 * [taylor]: Taking taylor expansion of 0 in x 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify (- 0) into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.282 * [backup-simplify]: Simplify (- 0) into 0 3.282 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.285 * [backup-simplify]: Simplify (+ 0 0) into 0 3.285 * [backup-simplify]: Simplify (- 0) into 0 3.285 * [taylor]: Taking taylor expansion of 0 in x 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (- 0) into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- x)) 1)) (* (- 0.5) (* 1 (/ 1 (- y))))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 3.287 * * * [progress]: simplifying candidates 3.287 * [simplify]: Simplifying: (expm1 (+ (/ 0.5 y) (/ 0.5 x))) (log1p (+ (/ 0.5 y) (/ 0.5 x))) (* (exp (/ 0.5 y)) (exp (/ 0.5 x))) (log (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x)))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (* (* (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x))) (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (+ (* 0.5 x) (* y 0.5)) (* y x) (+ (pow (/ 0.5 y) 3) (pow (/ 0.5 x) 3)) (+ (* (/ 0.5 y) (/ 0.5 y)) (- (* (/ 0.5 x) (/ 0.5 x)) (* (/ 0.5 y) (/ 0.5 x)))) (- (* (/ 0.5 y) (/ 0.5 y)) (* (/ 0.5 x) (/ 0.5 x))) (- (/ 0.5 y) (/ 0.5 x)) (+ (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (+ (/ (sqrt 0.5) y) (/ (sqrt 0.5) x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 1 y) (/ 1 x)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 3.288 * * [simplify]: iteration 0: 48 enodes 3.314 * * [simplify]: iteration 1: 124 enodes 3.408 * * [simplify]: iteration 2: 399 enodes 3.901 * * [simplify]: iteration 3: 1142 enodes 5.166 * * [simplify]: iteration complete: 5005 enodes 5.166 * * [simplify]: Extracting #0: cost 18 inf + 0 5.167 * * [simplify]: Extracting #1: cost 226 inf + 0 5.174 * * [simplify]: Extracting #2: cost 1059 inf + 3568 5.218 * * [simplify]: Extracting #3: cost 1028 inf + 68759 5.291 * * [simplify]: Extracting #4: cost 515 inf + 199447 5.391 * * [simplify]: Extracting #5: cost 6 inf + 274870 5.501 * * [simplify]: Extracting #6: cost 0 inf + 276844 5.599 * [simplify]: Simplified to: (expm1 (+ (/ 0.5 y) (/ 0.5 x))) (log1p (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (log (+ (/ 0.5 y) (/ 0.5 x))) (exp (+ (/ 0.5 y) (/ 0.5 x))) (* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x)))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (* (* (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x))) (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (sqrt (+ (/ 0.5 y) (/ 0.5 x))) (* 0.5 (+ y x)) (* x y) (fma (/ 0.5 x) (* (/ 0.5 x) (/ 0.5 x)) (* (/ 0.5 y) (* (/ 0.5 y) (/ 0.5 y)))) (fma (- (/ 0.5 x) (/ 0.5 y)) (/ 0.5 x) (* (/ 0.5 y) (/ 0.5 y))) (- (* (/ 0.5 y) (/ 0.5 y)) (* (/ 0.5 x) (/ 0.5 x))) (- (/ 0.5 y) (/ 0.5 x)) (+ (/ (cbrt 0.5) y) (/ (cbrt 0.5) x)) (+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 1 x) (/ 1 y)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) 5.600 * * * [progress]: adding candidates to table 5.838 * * [progress]: iteration 3 / 4 5.838 * * * [progress]: picking best candidate 5.850 * * * * [pick]: Picked # 5.850 * * * [progress]: localizing error 5.878 * * * [progress]: generating rewritten candidates 5.878 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.992 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 6.037 * * * [progress]: generating series expansions 6.037 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.037 * [backup-simplify]: Simplify (* (/ 1 (* x 2.0)) (/ (+ x y) y)) into (* 0.5 (/ (+ x y) (* x y))) 6.037 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 6.037 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 6.038 * [taylor]: Taking taylor expansion of 0.5 in y 6.038 * [backup-simplify]: Simplify 0.5 into 0.5 6.038 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 6.038 * [taylor]: Taking taylor expansion of (+ x y) in y 6.038 * [taylor]: Taking taylor expansion of x in y 6.038 * [backup-simplify]: Simplify x into x 6.038 * [taylor]: Taking taylor expansion of y in y 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [taylor]: Taking taylor expansion of (* x y) in y 6.038 * [taylor]: Taking taylor expansion of x in y 6.038 * [backup-simplify]: Simplify x into x 6.038 * [taylor]: Taking taylor expansion of y in y 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (+ x 0) into x 6.038 * [backup-simplify]: Simplify (* x 0) into 0 6.039 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.039 * [backup-simplify]: Simplify (/ x x) into 1 6.039 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 6.039 * [taylor]: Taking taylor expansion of 0.5 in x 6.039 * [backup-simplify]: Simplify 0.5 into 0.5 6.039 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 6.039 * [taylor]: Taking taylor expansion of (+ x y) in x 6.039 * [taylor]: Taking taylor expansion of x in x 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.039 * [taylor]: Taking taylor expansion of y in x 6.039 * [backup-simplify]: Simplify y into y 6.039 * [taylor]: Taking taylor expansion of (* x y) in x 6.039 * [taylor]: Taking taylor expansion of x in x 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.039 * [taylor]: Taking taylor expansion of y in x 6.039 * [backup-simplify]: Simplify y into y 6.039 * [backup-simplify]: Simplify (+ 0 y) into y 6.039 * [backup-simplify]: Simplify (* 0 y) into 0 6.040 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.040 * [backup-simplify]: Simplify (/ y y) into 1 6.040 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 6.040 * [taylor]: Taking taylor expansion of 0.5 in x 6.040 * [backup-simplify]: Simplify 0.5 into 0.5 6.040 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 6.040 * [taylor]: Taking taylor expansion of (+ x y) in x 6.040 * [taylor]: Taking taylor expansion of x in x 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [taylor]: Taking taylor expansion of y in x 6.040 * [backup-simplify]: Simplify y into y 6.040 * [taylor]: Taking taylor expansion of (* x y) in x 6.040 * [taylor]: Taking taylor expansion of x in x 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [taylor]: Taking taylor expansion of y in x 6.041 * [backup-simplify]: Simplify y into y 6.041 * [backup-simplify]: Simplify (+ 0 y) into y 6.041 * [backup-simplify]: Simplify (* 0 y) into 0 6.041 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.041 * [backup-simplify]: Simplify (/ y y) into 1 6.042 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.042 * [taylor]: Taking taylor expansion of 0.5 in y 6.042 * [backup-simplify]: Simplify 0.5 into 0.5 6.042 * [backup-simplify]: Simplify (+ 1 0) into 1 6.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.044 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 6.045 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (* 0 1)) into (* 0.5 (/ 1 y)) 6.045 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 6.045 * [taylor]: Taking taylor expansion of 0.5 in y 6.045 * [backup-simplify]: Simplify 0.5 into 0.5 6.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.045 * [taylor]: Taking taylor expansion of y in y 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 1 into 1 6.045 * [backup-simplify]: Simplify (/ 1 1) into 1 6.046 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.046 * [backup-simplify]: Simplify 0.5 into 0.5 6.046 * [backup-simplify]: Simplify 0.5 into 0.5 6.047 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 6.048 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 6.049 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 6.049 * [taylor]: Taking taylor expansion of 0 in y 6.049 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify (+ 0 0) into 0 6.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.053 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.054 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.054 * [taylor]: Taking taylor expansion of 0 in y 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify (+ 0 0) into 0 6.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 6.059 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 6.061 * [taylor]: Taking taylor expansion of 0 in y 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 x))) (* 0.5 (* (/ 1 y) 1))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 6.061 * [backup-simplify]: Simplify (* (/ 1 (* (/ 1 x) 2.0)) (/ (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) 6.061 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 6.061 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 6.061 * [taylor]: Taking taylor expansion of 0.5 in y 6.061 * [backup-simplify]: Simplify 0.5 into 0.5 6.062 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 6.062 * [taylor]: Taking taylor expansion of x in y 6.062 * [backup-simplify]: Simplify x into x 6.062 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 6.062 * [taylor]: Taking taylor expansion of y in y 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.062 * [taylor]: Taking taylor expansion of y in y 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [backup-simplify]: Simplify (/ 1 1) into 1 6.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.062 * [taylor]: Taking taylor expansion of x in y 6.062 * [backup-simplify]: Simplify x into x 6.062 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.062 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 6.062 * [taylor]: Taking taylor expansion of 0.5 in x 6.062 * [backup-simplify]: Simplify 0.5 into 0.5 6.062 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 6.062 * [taylor]: Taking taylor expansion of x in x 6.062 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 6.063 * [taylor]: Taking taylor expansion of y in x 6.063 * [backup-simplify]: Simplify y into y 6.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.063 * [taylor]: Taking taylor expansion of y in x 6.063 * [backup-simplify]: Simplify y into y 6.063 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.063 * [taylor]: Taking taylor expansion of x in x 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [backup-simplify]: Simplify (/ 1 1) into 1 6.063 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 6.063 * [taylor]: Taking taylor expansion of 0.5 in x 6.063 * [backup-simplify]: Simplify 0.5 into 0.5 6.063 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 6.063 * [taylor]: Taking taylor expansion of x in x 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 6.063 * [taylor]: Taking taylor expansion of y in x 6.064 * [backup-simplify]: Simplify y into y 6.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.064 * [taylor]: Taking taylor expansion of y in x 6.064 * [backup-simplify]: Simplify y into y 6.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.064 * [taylor]: Taking taylor expansion of x in x 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 1 into 1 6.064 * [backup-simplify]: Simplify (/ 1 1) into 1 6.065 * [backup-simplify]: Simplify (+ 0 1) into 1 6.065 * [backup-simplify]: Simplify (* y 1) into y 6.065 * [backup-simplify]: Simplify (* 0 y) into 0 6.065 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.065 * [taylor]: Taking taylor expansion of 0 in y 6.065 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.067 * [backup-simplify]: Simplify (+ (* y (/ 1 y)) (* 0 1)) into 1 6.067 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 6.067 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 6.068 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 6.068 * [taylor]: Taking taylor expansion of 0.5 in y 6.068 * [backup-simplify]: Simplify 0.5 into 0.5 6.068 * [taylor]: Taking taylor expansion of y in y 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.069 * [backup-simplify]: Simplify (+ 0 0) into 0 6.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 6.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 6.071 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 y) (* 0 0))) into 0.5 6.071 * [taylor]: Taking taylor expansion of 0.5 in y 6.071 * [backup-simplify]: Simplify 0.5 into 0.5 6.072 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.073 * [backup-simplify]: Simplify (+ 0 0) into 0 6.074 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 6.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 6.077 * [taylor]: Taking taylor expansion of 0 in y 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 0.5 into 0.5 6.078 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.078 * [backup-simplify]: Simplify 0.5 into 0.5 6.078 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify (+ 0 0) into 0 6.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 6.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 6.084 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 6.085 * [taylor]: Taking taylor expansion of 0 in y 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (+ 0 0) into 0 6.089 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))))) into 0 6.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))))) into 0 6.093 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 6.093 * [taylor]: Taking taylor expansion of 0 in y 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 x)))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 6.094 * [backup-simplify]: Simplify (* (/ 1 (* (/ 1 (- x)) 2.0)) (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) 6.094 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 6.094 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 6.094 * [taylor]: Taking taylor expansion of -0.5 in y 6.094 * [backup-simplify]: Simplify -0.5 into -0.5 6.094 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 6.094 * [taylor]: Taking taylor expansion of x in y 6.094 * [backup-simplify]: Simplify x into x 6.094 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 6.094 * [taylor]: Taking taylor expansion of y in y 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.094 * [taylor]: Taking taylor expansion of y in y 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (/ 1 1) into 1 6.095 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.095 * [taylor]: Taking taylor expansion of x in y 6.095 * [backup-simplify]: Simplify x into x 6.095 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.095 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 6.095 * [taylor]: Taking taylor expansion of -0.5 in x 6.095 * [backup-simplify]: Simplify -0.5 into -0.5 6.095 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 6.095 * [taylor]: Taking taylor expansion of x in x 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify 1 into 1 6.095 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 6.095 * [taylor]: Taking taylor expansion of y in x 6.095 * [backup-simplify]: Simplify y into y 6.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.095 * [taylor]: Taking taylor expansion of y in x 6.095 * [backup-simplify]: Simplify y into y 6.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.096 * [taylor]: Taking taylor expansion of x in x 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.096 * [backup-simplify]: Simplify (/ 1 1) into 1 6.096 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 6.096 * [taylor]: Taking taylor expansion of -0.5 in x 6.096 * [backup-simplify]: Simplify -0.5 into -0.5 6.096 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 6.096 * [taylor]: Taking taylor expansion of x in x 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.096 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 6.096 * [taylor]: Taking taylor expansion of y in x 6.096 * [backup-simplify]: Simplify y into y 6.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.097 * [taylor]: Taking taylor expansion of y in x 6.097 * [backup-simplify]: Simplify y into y 6.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.097 * [taylor]: Taking taylor expansion of x in x 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify (/ 1 1) into 1 6.098 * [backup-simplify]: Simplify (+ 0 1) into 1 6.098 * [backup-simplify]: Simplify (* y 1) into y 6.098 * [backup-simplify]: Simplify (* 0 y) into 0 6.098 * [backup-simplify]: Simplify (* -0.5 0) into 0 6.098 * [taylor]: Taking taylor expansion of 0 in y 6.098 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.100 * [backup-simplify]: Simplify (+ (* y (/ 1 y)) (* 0 1)) into 1 6.100 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 6.101 * [backup-simplify]: Simplify (+ (* -0.5 y) (* 0 0)) into (- (* 0.5 y)) 6.101 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 6.101 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 6.101 * [taylor]: Taking taylor expansion of 0.5 in y 6.101 * [backup-simplify]: Simplify 0.5 into 0.5 6.101 * [taylor]: Taking taylor expansion of y in y 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (+ 0 0) into 0 6.103 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 6.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 6.105 * [backup-simplify]: Simplify (+ (* -0.5 1) (+ (* 0 y) (* 0 0))) into (- 0.5) 6.105 * [taylor]: Taking taylor expansion of (- 0.5) in y 6.105 * [taylor]: Taking taylor expansion of 0.5 in y 6.105 * [backup-simplify]: Simplify 0.5 into 0.5 6.105 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.105 * [backup-simplify]: Simplify (- 0) into 0 6.106 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.107 * [backup-simplify]: Simplify (+ 0 0) into 0 6.108 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 6.110 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 6.110 * [taylor]: Taking taylor expansion of 0 in y 6.110 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.116 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.117 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.118 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.118 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.118 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.120 * [backup-simplify]: Simplify (+ 0 0) into 0 6.121 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 6.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 6.124 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 6.124 * [taylor]: Taking taylor expansion of 0 in y 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify (- 0) into 0 6.125 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.126 * [backup-simplify]: Simplify (- 0) into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.128 * [backup-simplify]: Simplify (+ 0 0) into 0 6.130 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))))) into 0 6.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))))) into 0 6.135 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 6.135 * [taylor]: Taking taylor expansion of 0 in y 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) 1)) (* (- 0.5) (* 1 (/ 1 (- x))))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 6.137 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 6.137 * [backup-simplify]: Simplify (/ (+ x y) y) into (/ (+ x y) y) 6.137 * [approximate]: Taking taylor expansion of (/ (+ x y) y) in (x y) around 0 6.137 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 6.137 * [taylor]: Taking taylor expansion of (+ x y) in y 6.137 * [taylor]: Taking taylor expansion of x in y 6.137 * [backup-simplify]: Simplify x into x 6.137 * [taylor]: Taking taylor expansion of y in y 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 1 into 1 6.137 * [taylor]: Taking taylor expansion of y in y 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 1 into 1 6.137 * [backup-simplify]: Simplify (+ x 0) into x 6.137 * [backup-simplify]: Simplify (/ x 1) into x 6.137 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 6.137 * [taylor]: Taking taylor expansion of (+ x y) in x 6.137 * [taylor]: Taking taylor expansion of x in x 6.137 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 1 into 1 6.138 * [taylor]: Taking taylor expansion of y in x 6.138 * [backup-simplify]: Simplify y into y 6.138 * [taylor]: Taking taylor expansion of y in x 6.138 * [backup-simplify]: Simplify y into y 6.138 * [backup-simplify]: Simplify (+ 0 y) into y 6.138 * [backup-simplify]: Simplify (/ y y) into 1 6.138 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 6.138 * [taylor]: Taking taylor expansion of (+ x y) in x 6.138 * [taylor]: Taking taylor expansion of x in x 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 1 into 1 6.138 * [taylor]: Taking taylor expansion of y in x 6.138 * [backup-simplify]: Simplify y into y 6.138 * [taylor]: Taking taylor expansion of y in x 6.138 * [backup-simplify]: Simplify y into y 6.138 * [backup-simplify]: Simplify (+ 0 y) into y 6.138 * [backup-simplify]: Simplify (/ y y) into 1 6.138 * [taylor]: Taking taylor expansion of 1 in y 6.138 * [backup-simplify]: Simplify 1 into 1 6.139 * [backup-simplify]: Simplify (+ 1 0) into 1 6.139 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 6.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.139 * [taylor]: Taking taylor expansion of y in y 6.139 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify 1 into 1 6.140 * [backup-simplify]: Simplify (/ 1 1) into 1 6.140 * [backup-simplify]: Simplify 1 into 1 6.140 * [backup-simplify]: Simplify 1 into 1 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.141 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 6.141 * [taylor]: Taking taylor expansion of 0 in y 6.141 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify (+ 0 0) into 0 6.142 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.143 * [taylor]: Taking taylor expansion of 0 in y 6.143 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.144 * [taylor]: Taking taylor expansion of 0 in y 6.144 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 y) x))) into (+ (/ x y) 1) 6.145 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (* (+ (/ 1 y) (/ 1 x)) y) 6.145 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 6.145 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 6.145 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.145 * [taylor]: Taking taylor expansion of y in y 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify 1 into 1 6.146 * [backup-simplify]: Simplify (/ 1 1) into 1 6.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.146 * [taylor]: Taking taylor expansion of x in y 6.146 * [backup-simplify]: Simplify x into x 6.146 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.146 * [taylor]: Taking taylor expansion of y in y 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 6.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.146 * [taylor]: Taking taylor expansion of y in x 6.146 * [backup-simplify]: Simplify y into y 6.146 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.146 * [taylor]: Taking taylor expansion of x in x 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (/ 1 1) into 1 6.147 * [taylor]: Taking taylor expansion of y in x 6.147 * [backup-simplify]: Simplify y into y 6.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 6.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.147 * [taylor]: Taking taylor expansion of y in x 6.147 * [backup-simplify]: Simplify y into y 6.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.147 * [taylor]: Taking taylor expansion of x in x 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.148 * [backup-simplify]: Simplify (/ 1 1) into 1 6.148 * [taylor]: Taking taylor expansion of y in x 6.148 * [backup-simplify]: Simplify y into y 6.148 * [backup-simplify]: Simplify (+ 0 1) into 1 6.148 * [backup-simplify]: Simplify (* 1 y) into y 6.148 * [taylor]: Taking taylor expansion of y in y 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.150 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 6.150 * [taylor]: Taking taylor expansion of 1 in y 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (+ 0 0) into 0 6.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 6.152 * [taylor]: Taking taylor expansion of 0 in y 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify 1 into 1 6.152 * [backup-simplify]: Simplify 1 into 1 6.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.154 * [backup-simplify]: Simplify (+ 0 0) into 0 6.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 6.155 * [taylor]: Taking taylor expansion of 0 in y 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.157 * [backup-simplify]: Simplify (+ 0 0) into 0 6.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.158 * [taylor]: Taking taylor expansion of 0 in y 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 y) (/ 1 (/ 1 x)))) 1) into (+ (/ x y) 1) 6.159 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* (+ (/ 1 y) (/ 1 x)) y) 6.159 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 6.159 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 6.159 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.159 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.159 * [taylor]: Taking taylor expansion of y in y 6.159 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify 1 into 1 6.159 * [backup-simplify]: Simplify (/ 1 1) into 1 6.159 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.159 * [taylor]: Taking taylor expansion of x in y 6.159 * [backup-simplify]: Simplify x into x 6.159 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.159 * [taylor]: Taking taylor expansion of y in y 6.159 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify 1 into 1 6.159 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 6.159 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.160 * [taylor]: Taking taylor expansion of y in x 6.160 * [backup-simplify]: Simplify y into y 6.160 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.160 * [taylor]: Taking taylor expansion of x in x 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 1 into 1 6.160 * [backup-simplify]: Simplify (/ 1 1) into 1 6.160 * [taylor]: Taking taylor expansion of y in x 6.160 * [backup-simplify]: Simplify y into y 6.160 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 6.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.160 * [taylor]: Taking taylor expansion of y in x 6.160 * [backup-simplify]: Simplify y into y 6.160 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.160 * [taylor]: Taking taylor expansion of x in x 6.161 * [backup-simplify]: Simplify 0 into 0 6.161 * [backup-simplify]: Simplify 1 into 1 6.161 * [backup-simplify]: Simplify (/ 1 1) into 1 6.161 * [taylor]: Taking taylor expansion of y in x 6.161 * [backup-simplify]: Simplify y into y 6.162 * [backup-simplify]: Simplify (+ 0 1) into 1 6.162 * [backup-simplify]: Simplify (* 1 y) into y 6.162 * [taylor]: Taking taylor expansion of y in y 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify 1 into 1 6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.164 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 6.164 * [taylor]: Taking taylor expansion of 1 in y 6.164 * [backup-simplify]: Simplify 1 into 1 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.165 * [backup-simplify]: Simplify (+ 0 0) into 0 6.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 6.166 * [taylor]: Taking taylor expansion of 0 in y 6.166 * [backup-simplify]: Simplify 0 into 0 6.166 * [backup-simplify]: Simplify 1 into 1 6.166 * [backup-simplify]: Simplify 1 into 1 6.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.168 * [backup-simplify]: Simplify (+ 0 0) into 0 6.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 6.169 * [taylor]: Taking taylor expansion of 0 in y 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.172 * [taylor]: Taking taylor expansion of 0 in y 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1) into (+ (/ x y) 1) 6.172 * * * [progress]: simplifying candidates 6.175 * [simplify]: Simplifying: (expm1 (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (+ (- (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- 0 (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- 0 (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (log (* x 2.0))) (log (/ (+ x y) y))) (+ (log (/ 1 (* x 2.0))) (- (log (+ x y)) (log y))) (+ (log (/ 1 (* x 2.0))) (log (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* 1 (+ x y)) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y)))) (* (/ 1 (* x 2.0)) (sqrt (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) 1) (* (/ 1 (* x 2.0)) (+ x y)) (* (cbrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (/ (cbrt 1) 2.0) (/ (+ x y) y)) (* (/ (sqrt 1) 2.0) (/ (+ x y) y)) (* (/ 1 2.0) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (+ x y)) (* 1 (/ (+ x y) y)) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (- (log (+ x y)) (log y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* y (+ (* x x) (- (* y y) (* x y)))) (* y (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 6.179 * * [simplify]: iteration 0: 154 enodes 6.275 * * [simplify]: iteration 1: 447 enodes 7.351 * * [simplify]: iteration 2: 1781 enodes 8.953 * * [simplify]: iteration complete: 5017 enodes 8.954 * * [simplify]: Extracting #0: cost 67 inf + 0 8.957 * * [simplify]: Extracting #1: cost 925 inf + 1 8.970 * * [simplify]: Extracting #2: cost 1863 inf + 2470 8.992 * * [simplify]: Extracting #3: cost 1619 inf + 42596 9.360 * * [simplify]: Extracting #4: cost 779 inf + 237831 9.752 * * [simplify]: Extracting #5: cost 51 inf + 388108 10.027 * * [simplify]: Extracting #6: cost 0 inf + 399970 10.500 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) (* 2.0 x)) y)) (log1p (/ (/ (+ x y) (* 2.0 x)) y)) (/ (/ (+ x y) (* 2.0 x)) y) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (log (/ (/ (+ x y) (* 2.0 x)) y)) (exp (/ (/ (+ x y) (* 2.0 x)) y)) (/ (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (* (* 2.0 x) (* (* 2.0 x) (* 2.0 x)))) (/ (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (* (* 2.0 x) (* (* 2.0 x) (* 2.0 x)))) (/ (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (* (* 2.0 x) (* (* 2.0 x) (* 2.0 x)))) (/ (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (* (* 2.0 x) (* (* 2.0 x) (* 2.0 x)))) (/ (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (* (* 2.0 x) (* (* 2.0 x) (* 2.0 x)))) (/ (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (* (* 2.0 x) (* (* 2.0 x) (* 2.0 x)))) (* (cbrt (/ (/ (+ x y) (* 2.0 x)) y)) (cbrt (/ (/ (+ x y) (* 2.0 x)) y))) (cbrt (/ (/ (+ x y) (* 2.0 x)) y)) (* (* (/ (/ (+ x y) (* 2.0 x)) y) (/ (/ (+ x y) (* 2.0 x)) y)) (/ (/ (+ x y) (* 2.0 x)) y)) (sqrt (/ (/ (+ x y) (* 2.0 x)) y)) (sqrt (/ (/ (+ x y) (* 2.0 x)) y)) (+ x y) (* (* 2.0 x) y) (* (sqrt (/ (+ x y) y)) (sqrt (/ 1 (* 2.0 x)))) (* (sqrt (/ (+ x y) y)) (sqrt (/ 1 (* 2.0 x)))) (/ (sqrt (/ 1 (* 2.0 x))) (/ (sqrt y) (sqrt (+ x y)))) (/ (sqrt (/ 1 (* 2.0 x))) (/ (sqrt y) (sqrt (+ x y)))) (* (/ (cbrt (/ (+ x y) y)) 2.0) (/ (cbrt (/ (+ x y) y)) x)) (/ (sqrt (/ (+ x y) y)) (* 2.0 x)) (* (/ (/ (cbrt (+ x y)) (cbrt y)) 2.0) (/ (/ (cbrt (+ x y)) (cbrt y)) x)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* 2.0 x)) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* 2.0 x)) (/ (/ (/ (sqrt (+ x y)) (cbrt y)) (cbrt y)) (* 2.0 x)) (/ (/ (sqrt (+ x y)) (sqrt y)) (* 2.0 x)) (/ (sqrt (+ x y)) (* 2.0 x)) (/ (/ (/ 1 (cbrt y)) (cbrt y)) (* 2.0 x)) (/ (/ 1 (sqrt y)) (* 2.0 x)) (/ 1 (* 2.0 x)) (/ (/ (/ 1 (cbrt y)) (cbrt y)) (* 2.0 x)) (/ (/ 1 (sqrt y)) (* 2.0 x)) (/ 1 (* 2.0 x)) (/ 1 (* 2.0 x)) (/ (+ x y) (* 2.0 x)) (* (/ (+ x y) y) (cbrt (/ 1 (* 2.0 x)))) (/ (sqrt (/ 1 (* 2.0 x))) (/ y (+ x y))) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) (* 2.0 x)) y) (/ (/ (+ x y) (* 2.0 x)) y) (/ (+ x y) (* 2.0 x)) (/ (+ x y) y) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (log (/ (+ x y) y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (- x) y) (- y) (* (/ (cbrt (+ x y)) (cbrt y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (/ (/ (sqrt (+ x y)) (cbrt y)) (cbrt y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) y) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* y (fma x x (* y (- y x)))) (* y (- x y)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ 0.5 y) (/ 0.5 x)) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 10.531 * * * [progress]: adding candidates to table 11.602 * * [progress]: iteration 4 / 4 11.603 * * * [progress]: picking best candidate 11.609 * * * * [pick]: Picked # 11.610 * * * [progress]: localizing error 11.632 * * * [progress]: generating rewritten candidates 11.632 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 11.966 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 12.069 * * * [progress]: generating series expansions 12.080 * * * * [progress]: [ 1 / 2 ] generating series at (2) 12.087 * [backup-simplify]: Simplify (/ (/ (+ x y) (* x 2.0)) y) into (* 0.5 (/ (+ x y) (* x y))) 12.087 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 12.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 12.087 * [taylor]: Taking taylor expansion of 0.5 in y 12.087 * [backup-simplify]: Simplify 0.5 into 0.5 12.087 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 12.087 * [taylor]: Taking taylor expansion of (+ x y) in y 12.088 * [taylor]: Taking taylor expansion of x in y 12.088 * [backup-simplify]: Simplify x into x 12.088 * [taylor]: Taking taylor expansion of y in y 12.088 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify 1 into 1 12.088 * [taylor]: Taking taylor expansion of (* x y) in y 12.088 * [taylor]: Taking taylor expansion of x in y 12.088 * [backup-simplify]: Simplify x into x 12.088 * [taylor]: Taking taylor expansion of y in y 12.088 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify 1 into 1 12.088 * [backup-simplify]: Simplify (+ x 0) into x 12.088 * [backup-simplify]: Simplify (* x 0) into 0 12.146 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 12.146 * [backup-simplify]: Simplify (/ x x) into 1 12.146 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 12.146 * [taylor]: Taking taylor expansion of 0.5 in x 12.146 * [backup-simplify]: Simplify 0.5 into 0.5 12.146 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 12.146 * [taylor]: Taking taylor expansion of (+ x y) in x 12.146 * [taylor]: Taking taylor expansion of x in x 12.146 * [backup-simplify]: Simplify 0 into 0 12.146 * [backup-simplify]: Simplify 1 into 1 12.146 * [taylor]: Taking taylor expansion of y in x 12.146 * [backup-simplify]: Simplify y into y 12.146 * [taylor]: Taking taylor expansion of (* x y) in x 12.146 * [taylor]: Taking taylor expansion of x in x 12.146 * [backup-simplify]: Simplify 0 into 0 12.146 * [backup-simplify]: Simplify 1 into 1 12.146 * [taylor]: Taking taylor expansion of y in x 12.146 * [backup-simplify]: Simplify y into y 12.147 * [backup-simplify]: Simplify (+ 0 y) into y 12.147 * [backup-simplify]: Simplify (* 0 y) into 0 12.147 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 12.147 * [backup-simplify]: Simplify (/ y y) into 1 12.147 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 12.147 * [taylor]: Taking taylor expansion of 0.5 in x 12.147 * [backup-simplify]: Simplify 0.5 into 0.5 12.147 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 12.147 * [taylor]: Taking taylor expansion of (+ x y) in x 12.147 * [taylor]: Taking taylor expansion of x in x 12.147 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify 1 into 1 12.148 * [taylor]: Taking taylor expansion of y in x 12.148 * [backup-simplify]: Simplify y into y 12.148 * [taylor]: Taking taylor expansion of (* x y) in x 12.148 * [taylor]: Taking taylor expansion of x in x 12.148 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify 1 into 1 12.148 * [taylor]: Taking taylor expansion of y in x 12.148 * [backup-simplify]: Simplify y into y 12.148 * [backup-simplify]: Simplify (+ 0 y) into y 12.148 * [backup-simplify]: Simplify (* 0 y) into 0 12.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 12.148 * [backup-simplify]: Simplify (/ y y) into 1 12.160 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.161 * [taylor]: Taking taylor expansion of 0.5 in y 12.161 * [backup-simplify]: Simplify 0.5 into 0.5 12.161 * [backup-simplify]: Simplify (+ 1 0) into 1 12.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 12.162 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 12.163 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (* 0 1)) into (* 0.5 (/ 1 y)) 12.163 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 12.163 * [taylor]: Taking taylor expansion of 0.5 in y 12.163 * [backup-simplify]: Simplify 0.5 into 0.5 12.163 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.163 * [taylor]: Taking taylor expansion of y in y 12.163 * [backup-simplify]: Simplify 0 into 0 12.163 * [backup-simplify]: Simplify 1 into 1 12.163 * [backup-simplify]: Simplify (/ 1 1) into 1 12.164 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.164 * [backup-simplify]: Simplify 0.5 into 0.5 12.164 * [backup-simplify]: Simplify 0.5 into 0.5 12.165 * [backup-simplify]: Simplify (+ 0 0) into 0 12.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 12.190 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 12.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 12.196 * [taylor]: Taking taylor expansion of 0 in y 12.196 * [backup-simplify]: Simplify 0 into 0 12.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.198 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 12.198 * [backup-simplify]: Simplify 0 into 0 12.198 * [backup-simplify]: Simplify 0 into 0 12.198 * [backup-simplify]: Simplify (+ 0 0) into 0 12.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 12.200 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.202 * [taylor]: Taking taylor expansion of 0 in y 12.202 * [backup-simplify]: Simplify 0 into 0 12.202 * [backup-simplify]: Simplify 0 into 0 12.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 12.204 * [backup-simplify]: Simplify 0 into 0 12.204 * [backup-simplify]: Simplify 0 into 0 12.204 * [backup-simplify]: Simplify (+ 0 0) into 0 12.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 12.206 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.208 * [taylor]: Taking taylor expansion of 0 in y 12.208 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 x))) (* 0.5 (* (/ 1 y) 1))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 12.209 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 x) (/ 1 y)) (* (/ 1 x) 2.0)) (/ 1 y)) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 12.209 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 12.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 12.209 * [taylor]: Taking taylor expansion of 0.5 in y 12.209 * [backup-simplify]: Simplify 0.5 into 0.5 12.209 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 12.209 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.209 * [taylor]: Taking taylor expansion of y in y 12.209 * [backup-simplify]: Simplify 0 into 0 12.209 * [backup-simplify]: Simplify 1 into 1 12.210 * [backup-simplify]: Simplify (/ 1 1) into 1 12.210 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.210 * [taylor]: Taking taylor expansion of x in y 12.210 * [backup-simplify]: Simplify x into x 12.210 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.210 * [taylor]: Taking taylor expansion of (* y x) in y 12.210 * [taylor]: Taking taylor expansion of y in y 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify 1 into 1 12.210 * [taylor]: Taking taylor expansion of x in y 12.210 * [backup-simplify]: Simplify x into x 12.210 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 12.210 * [taylor]: Taking taylor expansion of 0.5 in x 12.210 * [backup-simplify]: Simplify 0.5 into 0.5 12.210 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 12.210 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.210 * [taylor]: Taking taylor expansion of y in x 12.210 * [backup-simplify]: Simplify y into y 12.210 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.210 * [taylor]: Taking taylor expansion of x in x 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify 1 into 1 12.211 * [backup-simplify]: Simplify (/ 1 1) into 1 12.211 * [taylor]: Taking taylor expansion of (* y x) in x 12.211 * [taylor]: Taking taylor expansion of y in x 12.211 * [backup-simplify]: Simplify y into y 12.211 * [taylor]: Taking taylor expansion of x in x 12.211 * [backup-simplify]: Simplify 0 into 0 12.211 * [backup-simplify]: Simplify 1 into 1 12.211 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 12.211 * [taylor]: Taking taylor expansion of 0.5 in x 12.211 * [backup-simplify]: Simplify 0.5 into 0.5 12.211 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 12.211 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.211 * [taylor]: Taking taylor expansion of y in x 12.211 * [backup-simplify]: Simplify y into y 12.211 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.211 * [taylor]: Taking taylor expansion of x in x 12.211 * [backup-simplify]: Simplify 0 into 0 12.211 * [backup-simplify]: Simplify 1 into 1 12.212 * [backup-simplify]: Simplify (/ 1 1) into 1 12.212 * [taylor]: Taking taylor expansion of (* y x) in x 12.212 * [taylor]: Taking taylor expansion of y in x 12.212 * [backup-simplify]: Simplify y into y 12.212 * [taylor]: Taking taylor expansion of x in x 12.212 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify 1 into 1 12.212 * [backup-simplify]: Simplify (+ 0 1) into 1 12.213 * [backup-simplify]: Simplify (* y 0) into 0 12.213 * [backup-simplify]: Simplify (* 1 0) into 0 12.213 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.213 * [taylor]: Taking taylor expansion of 0 in y 12.213 * [backup-simplify]: Simplify 0 into 0 12.214 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 12.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.215 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.215 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 12.215 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 12.215 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 12.215 * [taylor]: Taking taylor expansion of 0.5 in y 12.215 * [backup-simplify]: Simplify 0.5 into 0.5 12.215 * [taylor]: Taking taylor expansion of y in y 12.215 * [backup-simplify]: Simplify 0 into 0 12.215 * [backup-simplify]: Simplify 1 into 1 12.215 * [backup-simplify]: Simplify 0 into 0 12.216 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 12.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.218 * [backup-simplify]: Simplify (+ 0 0) into 0 12.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 12.219 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 y) (* 0 0))) into 0.5 12.219 * [taylor]: Taking taylor expansion of 0.5 in y 12.219 * [backup-simplify]: Simplify 0.5 into 0.5 12.219 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.221 * [backup-simplify]: Simplify (+ 0 0) into 0 12.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 12.223 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 12.223 * [taylor]: Taking taylor expansion of 0 in y 12.223 * [backup-simplify]: Simplify 0 into 0 12.223 * [backup-simplify]: Simplify 0.5 into 0.5 12.225 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.225 * [backup-simplify]: Simplify 0.5 into 0.5 12.225 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.232 * [backup-simplify]: Simplify (+ 0 0) into 0 12.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 12.234 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 12.234 * [taylor]: Taking taylor expansion of 0 in y 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 0 into 0 12.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 12.235 * [backup-simplify]: Simplify 0 into 0 12.235 * [backup-simplify]: Simplify 0 into 0 12.237 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.238 * [backup-simplify]: Simplify (+ 0 0) into 0 12.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 12.242 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 12.242 * [taylor]: Taking taylor expansion of 0 in y 12.242 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 x)))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 12.243 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- x)) 2.0)) (/ 1 (- y))) into (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) 12.243 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 12.243 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 12.243 * [taylor]: Taking taylor expansion of -0.5 in y 12.243 * [backup-simplify]: Simplify -0.5 into -0.5 12.243 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 12.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.243 * [taylor]: Taking taylor expansion of y in y 12.243 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify 1 into 1 12.244 * [backup-simplify]: Simplify (/ 1 1) into 1 12.244 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.244 * [taylor]: Taking taylor expansion of x in y 12.244 * [backup-simplify]: Simplify x into x 12.244 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.244 * [taylor]: Taking taylor expansion of (* y x) in y 12.244 * [taylor]: Taking taylor expansion of y in y 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 1 into 1 12.244 * [taylor]: Taking taylor expansion of x in y 12.244 * [backup-simplify]: Simplify x into x 12.244 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 12.244 * [taylor]: Taking taylor expansion of -0.5 in x 12.244 * [backup-simplify]: Simplify -0.5 into -0.5 12.244 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 12.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.245 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.245 * [taylor]: Taking taylor expansion of y in x 12.245 * [backup-simplify]: Simplify y into y 12.245 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.245 * [taylor]: Taking taylor expansion of x in x 12.245 * [backup-simplify]: Simplify 0 into 0 12.245 * [backup-simplify]: Simplify 1 into 1 12.245 * [backup-simplify]: Simplify (/ 1 1) into 1 12.245 * [taylor]: Taking taylor expansion of (* y x) in x 12.245 * [taylor]: Taking taylor expansion of y in x 12.245 * [backup-simplify]: Simplify y into y 12.245 * [taylor]: Taking taylor expansion of x in x 12.245 * [backup-simplify]: Simplify 0 into 0 12.245 * [backup-simplify]: Simplify 1 into 1 12.245 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 12.245 * [taylor]: Taking taylor expansion of -0.5 in x 12.245 * [backup-simplify]: Simplify -0.5 into -0.5 12.245 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 12.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.246 * [taylor]: Taking taylor expansion of y in x 12.246 * [backup-simplify]: Simplify y into y 12.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.246 * [taylor]: Taking taylor expansion of x in x 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify 1 into 1 12.246 * [backup-simplify]: Simplify (/ 1 1) into 1 12.246 * [taylor]: Taking taylor expansion of (* y x) in x 12.246 * [taylor]: Taking taylor expansion of y in x 12.246 * [backup-simplify]: Simplify y into y 12.246 * [taylor]: Taking taylor expansion of x in x 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify 1 into 1 12.247 * [backup-simplify]: Simplify (+ 0 1) into 1 12.247 * [backup-simplify]: Simplify (* y 0) into 0 12.247 * [backup-simplify]: Simplify (* 1 0) into 0 12.248 * [backup-simplify]: Simplify (* -0.5 0) into 0 12.248 * [taylor]: Taking taylor expansion of 0 in y 12.248 * [backup-simplify]: Simplify 0 into 0 12.248 * [backup-simplify]: Simplify (+ (* y 1) (* 0 0)) into y 12.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.249 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.249 * [backup-simplify]: Simplify (+ (* 1 y) (* (/ 1 y) 0)) into y 12.249 * [backup-simplify]: Simplify (+ (* -0.5 y) (* 0 0)) into (- (* 0.5 y)) 12.249 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 12.250 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 12.250 * [taylor]: Taking taylor expansion of 0.5 in y 12.250 * [backup-simplify]: Simplify 0.5 into 0.5 12.250 * [taylor]: Taking taylor expansion of y in y 12.250 * [backup-simplify]: Simplify 0 into 0 12.250 * [backup-simplify]: Simplify 1 into 1 12.250 * [backup-simplify]: Simplify 0 into 0 12.250 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 12.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.252 * [backup-simplify]: Simplify (+ 0 0) into 0 12.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) y) (* 0 0))) into 1 12.253 * [backup-simplify]: Simplify (+ (* -0.5 1) (+ (* 0 y) (* 0 0))) into (- 0.5) 12.253 * [taylor]: Taking taylor expansion of (- 0.5) in y 12.253 * [taylor]: Taking taylor expansion of 0.5 in y 12.253 * [backup-simplify]: Simplify 0.5 into 0.5 12.254 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.254 * [backup-simplify]: Simplify (- 0) into 0 12.254 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify 0 into 0 12.255 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.257 * [backup-simplify]: Simplify (+ 0 0) into 0 12.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 y) (* 0 0)))) into 0 12.260 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 12.260 * [taylor]: Taking taylor expansion of 0 in y 12.260 * [backup-simplify]: Simplify 0 into 0 12.260 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.260 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.262 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.262 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.262 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.265 * [backup-simplify]: Simplify (+ 0 0) into 0 12.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 12.268 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 12.268 * [taylor]: Taking taylor expansion of 0 in y 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify (- 0) into 0 12.269 * [backup-simplify]: Simplify 0 into 0 12.270 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 12.270 * [backup-simplify]: Simplify (- 0) into 0 12.270 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.273 * [backup-simplify]: Simplify (+ 0 0) into 0 12.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))))) into 0 12.277 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))))) into 0 12.277 * [taylor]: Taking taylor expansion of 0 in y 12.277 * [backup-simplify]: Simplify 0 into 0 12.277 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) 1)) (* (- 0.5) (* 1 (/ 1 (- x))))) into (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 12.278 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 12.278 * [backup-simplify]: Simplify (/ (+ x y) (* x 2.0)) into (* 0.5 (/ (+ x y) x)) 12.278 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 12.279 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 12.279 * [taylor]: Taking taylor expansion of 0.5 in y 12.279 * [backup-simplify]: Simplify 0.5 into 0.5 12.279 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 12.279 * [taylor]: Taking taylor expansion of (+ x y) in y 12.279 * [taylor]: Taking taylor expansion of x in y 12.279 * [backup-simplify]: Simplify x into x 12.279 * [taylor]: Taking taylor expansion of y in y 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 1 into 1 12.279 * [taylor]: Taking taylor expansion of x in y 12.279 * [backup-simplify]: Simplify x into x 12.279 * [backup-simplify]: Simplify (+ x 0) into x 12.279 * [backup-simplify]: Simplify (/ x x) into 1 12.279 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 12.279 * [taylor]: Taking taylor expansion of 0.5 in x 12.279 * [backup-simplify]: Simplify 0.5 into 0.5 12.279 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 12.279 * [taylor]: Taking taylor expansion of (+ x y) in x 12.279 * [taylor]: Taking taylor expansion of x in x 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 1 into 1 12.279 * [taylor]: Taking taylor expansion of y in x 12.279 * [backup-simplify]: Simplify y into y 12.279 * [taylor]: Taking taylor expansion of x in x 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 1 into 1 12.279 * [backup-simplify]: Simplify (+ 0 y) into y 12.279 * [backup-simplify]: Simplify (/ y 1) into y 12.279 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 12.279 * [taylor]: Taking taylor expansion of 0.5 in x 12.280 * [backup-simplify]: Simplify 0.5 into 0.5 12.280 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 12.280 * [taylor]: Taking taylor expansion of (+ x y) in x 12.280 * [taylor]: Taking taylor expansion of x in x 12.280 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify 1 into 1 12.280 * [taylor]: Taking taylor expansion of y in x 12.280 * [backup-simplify]: Simplify y into y 12.280 * [taylor]: Taking taylor expansion of x in x 12.280 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify 1 into 1 12.280 * [backup-simplify]: Simplify (+ 0 y) into y 12.280 * [backup-simplify]: Simplify (/ y 1) into y 12.280 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 12.280 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 12.280 * [taylor]: Taking taylor expansion of 0.5 in y 12.280 * [backup-simplify]: Simplify 0.5 into 0.5 12.280 * [taylor]: Taking taylor expansion of y in y 12.280 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify 1 into 1 12.281 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify (+ 1 0) into 1 12.282 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 12.282 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 y)) into 0.5 12.282 * [taylor]: Taking taylor expansion of 0.5 in y 12.282 * [backup-simplify]: Simplify 0.5 into 0.5 12.282 * [backup-simplify]: Simplify 0.5 into 0.5 12.284 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.284 * [backup-simplify]: Simplify 0.5 into 0.5 12.284 * [backup-simplify]: Simplify (+ 0 0) into 0 12.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 12.287 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 y))) into 0 12.287 * [taylor]: Taking taylor expansion of 0 in y 12.287 * [backup-simplify]: Simplify 0 into 0 12.287 * [backup-simplify]: Simplify 0 into 0 12.287 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 12.288 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify (+ 0 0) into 0 12.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 12.292 * [taylor]: Taking taylor expansion of 0 in y 12.292 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify (+ (* 0.5 (* y (/ 1 x))) 0.5) into (+ (* 0.5 (/ y x)) 0.5) 12.293 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (* (/ 1 x) 2.0)) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) 12.293 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 12.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 12.293 * [taylor]: Taking taylor expansion of 0.5 in y 12.293 * [backup-simplify]: Simplify 0.5 into 0.5 12.293 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 12.293 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.293 * [taylor]: Taking taylor expansion of y in y 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 1 into 1 12.293 * [backup-simplify]: Simplify (/ 1 1) into 1 12.293 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.293 * [taylor]: Taking taylor expansion of x in y 12.293 * [backup-simplify]: Simplify x into x 12.293 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.294 * [taylor]: Taking taylor expansion of x in y 12.294 * [backup-simplify]: Simplify x into x 12.294 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 12.294 * [taylor]: Taking taylor expansion of 0.5 in x 12.294 * [backup-simplify]: Simplify 0.5 into 0.5 12.294 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 12.294 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.294 * [taylor]: Taking taylor expansion of y in x 12.294 * [backup-simplify]: Simplify y into y 12.294 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.294 * [taylor]: Taking taylor expansion of x in x 12.294 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify 1 into 1 12.294 * [backup-simplify]: Simplify (/ 1 1) into 1 12.294 * [taylor]: Taking taylor expansion of x in x 12.294 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify 1 into 1 12.295 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 12.295 * [taylor]: Taking taylor expansion of 0.5 in x 12.295 * [backup-simplify]: Simplify 0.5 into 0.5 12.295 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 12.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.295 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.295 * [taylor]: Taking taylor expansion of y in x 12.295 * [backup-simplify]: Simplify y into y 12.295 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.295 * [taylor]: Taking taylor expansion of x in x 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 1 into 1 12.295 * [backup-simplify]: Simplify (/ 1 1) into 1 12.295 * [taylor]: Taking taylor expansion of x in x 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 1 into 1 12.296 * [backup-simplify]: Simplify (+ 0 1) into 1 12.296 * [backup-simplify]: Simplify (* 1 0) into 0 12.297 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.297 * [taylor]: Taking taylor expansion of 0 in y 12.297 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.298 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.299 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 12.300 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.300 * [taylor]: Taking taylor expansion of 0.5 in y 12.300 * [backup-simplify]: Simplify 0.5 into 0.5 12.300 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.302 * [backup-simplify]: Simplify (+ 0 0) into 0 12.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 12.303 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (+ (* 0 1) (* 0 0))) into (* 0.5 (/ 1 y)) 12.303 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 12.303 * [taylor]: Taking taylor expansion of 0.5 in y 12.304 * [backup-simplify]: Simplify 0.5 into 0.5 12.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.304 * [taylor]: Taking taylor expansion of y in y 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify 1 into 1 12.304 * [backup-simplify]: Simplify (/ 1 1) into 1 12.305 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.305 * [backup-simplify]: Simplify 0.5 into 0.5 12.305 * [backup-simplify]: Simplify 0.5 into 0.5 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.306 * [backup-simplify]: Simplify (+ 0 0) into 0 12.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 12.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0)))) into 0 12.309 * [taylor]: Taking taylor expansion of 0 in y 12.309 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.310 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 0 into 0 12.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.312 * [backup-simplify]: Simplify (+ 0 0) into 0 12.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0))))) into 0 12.315 * [taylor]: Taking taylor expansion of 0 in y 12.315 * [backup-simplify]: Simplify 0 into 0 12.315 * [backup-simplify]: Simplify 0 into 0 12.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.317 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 12.317 * [backup-simplify]: Simplify 0 into 0 12.317 * [backup-simplify]: Simplify (+ 0.5 (* 0.5 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (* 0.5 (/ y x)) 0.5) 12.318 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- x)) 2.0)) into (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) 12.318 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 12.318 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 12.318 * [taylor]: Taking taylor expansion of 0.5 in y 12.318 * [backup-simplify]: Simplify 0.5 into 0.5 12.318 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 12.318 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.318 * [taylor]: Taking taylor expansion of y in y 12.318 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify 1 into 1 12.318 * [backup-simplify]: Simplify (/ 1 1) into 1 12.318 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.319 * [taylor]: Taking taylor expansion of x in y 12.319 * [backup-simplify]: Simplify x into x 12.319 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.319 * [taylor]: Taking taylor expansion of x in y 12.319 * [backup-simplify]: Simplify x into x 12.319 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 12.319 * [taylor]: Taking taylor expansion of 0.5 in x 12.319 * [backup-simplify]: Simplify 0.5 into 0.5 12.319 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 12.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.319 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.319 * [taylor]: Taking taylor expansion of y in x 12.319 * [backup-simplify]: Simplify y into y 12.319 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.319 * [taylor]: Taking taylor expansion of x in x 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 1 into 1 12.319 * [backup-simplify]: Simplify (/ 1 1) into 1 12.320 * [taylor]: Taking taylor expansion of x in x 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 1 into 1 12.320 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 12.320 * [taylor]: Taking taylor expansion of 0.5 in x 12.320 * [backup-simplify]: Simplify 0.5 into 0.5 12.320 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 12.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.320 * [taylor]: Taking taylor expansion of y in x 12.320 * [backup-simplify]: Simplify y into y 12.320 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.320 * [taylor]: Taking taylor expansion of x in x 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 1 into 1 12.320 * [backup-simplify]: Simplify (/ 1 1) into 1 12.320 * [taylor]: Taking taylor expansion of x in x 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 1 into 1 12.321 * [backup-simplify]: Simplify (+ 0 1) into 1 12.321 * [backup-simplify]: Simplify (* 1 0) into 0 12.322 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.322 * [taylor]: Taking taylor expansion of 0 in y 12.322 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.323 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.323 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 12.325 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.325 * [taylor]: Taking taylor expansion of 0.5 in y 12.325 * [backup-simplify]: Simplify 0.5 into 0.5 12.325 * [backup-simplify]: Simplify 0 into 0 12.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify (+ 0 0) into 0 12.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 12.337 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 y)) (+ (* 0 1) (* 0 0))) into (* 0.5 (/ 1 y)) 12.337 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 12.337 * [taylor]: Taking taylor expansion of 0.5 in y 12.337 * [backup-simplify]: Simplify 0.5 into 0.5 12.337 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.337 * [taylor]: Taking taylor expansion of y in y 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify 1 into 1 12.338 * [backup-simplify]: Simplify (/ 1 1) into 1 12.338 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.338 * [backup-simplify]: Simplify 0.5 into 0.5 12.338 * [backup-simplify]: Simplify 0.5 into 0.5 12.338 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.340 * [backup-simplify]: Simplify (+ 0 0) into 0 12.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 12.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0)))) into 0 12.342 * [taylor]: Taking taylor expansion of 0 in y 12.342 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 12.351 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.353 * [backup-simplify]: Simplify (+ 0 0) into 0 12.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.356 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (+ (* 0 1) (* 0 0))))) into 0 12.356 * [taylor]: Taking taylor expansion of 0 in y 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.358 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 12.358 * [backup-simplify]: Simplify 0 into 0 12.358 * [backup-simplify]: Simplify (+ 0.5 (* 0.5 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (* 0.5 (/ y x)) 0.5) 12.358 * * * [progress]: simplifying candidates 12.414 * [simplify]: Simplifying: (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (- (- (log (+ x y)) (+ (log x) (log 2.0))) (log y)) (- (- (log (+ x y)) (log (* x 2.0))) (log y)) (- (log (/ (+ x y) (* x 2.0))) (log y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* y y) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* y y) y)) (/ (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (* (* y y) y)) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (* (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) 1) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) 1) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (/ (sqrt (+ x y)) x) 1) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (+ x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (/ (+ x y) (* x 2.0)) 1) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (- (log (+ x y)) (+ (log x) (log 2.0))) (- (log (+ x y)) (log (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (+ (* x x) (- (* y y) (* x y)))) (* (* x 2.0) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 12.431 * * [simplify]: iteration 0: 138 enodes 12.641 * * [simplify]: iteration 1: 351 enodes 13.606 * * [simplify]: iteration 2: 1226 enodes 18.462 * * [simplify]: iteration complete: 5006 enodes 18.465 * * [simplify]: Extracting #0: cost 81 inf + 0 18.466 * * [simplify]: Extracting #1: cost 829 inf + 1 18.478 * * [simplify]: Extracting #2: cost 1695 inf + 3337 18.504 * * [simplify]: Extracting #3: cost 1586 inf + 59997 19.011 * * [simplify]: Extracting #4: cost 377 inf + 245421 19.342 * * [simplify]: Extracting #5: cost 11 inf + 319875 19.510 * * [simplify]: Extracting #6: cost 0 inf + 322228 19.668 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) (* y x)) 2.0)) (log1p (/ (/ (+ x y) (* y x)) 2.0)) (log (/ (/ (+ x y) (* y x)) 2.0)) (log (/ (/ (+ x y) (* y x)) 2.0)) (log (/ (/ (+ x y) (* y x)) 2.0)) (log (/ (/ (+ x y) (* y x)) 2.0)) (exp (/ (/ (+ x y) (* y x)) 2.0)) (* (/ (/ (+ x y) (* x 2.0)) y) (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y))) (* (/ (/ (+ x y) (* x 2.0)) y) (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y))) (* (/ (/ (+ x y) (* x 2.0)) y) (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y))) (* (cbrt (/ (/ (+ x y) (* y x)) 2.0)) (cbrt (/ (/ (+ x y) (* y x)) 2.0))) (cbrt (/ (/ (+ x y) (* y x)) 2.0)) (* (/ (/ (+ x y) (* x 2.0)) y) (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y))) (sqrt (/ (/ (+ x y) (* y x)) 2.0)) (sqrt (/ (/ (+ x y) (* y x)) 2.0)) (/ (- (+ x y)) (* x 2.0)) (- y) (* (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (/ (sqrt y) (cbrt (/ (+ x y) (* x 2.0))))) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (sqrt (/ (+ x y) (* x 2.0))) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (* (/ (cbrt (+ x y)) (cbrt y)) (/ (cbrt (+ x y)) (cbrt y))) x) (/ (cbrt (+ x y)) (* 2.0 (cbrt y))) (/ (cbrt (+ x y)) (/ (* x (sqrt y)) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* (sqrt y) 2.0)) (* (/ (cbrt (+ x y)) x) (cbrt (+ x y))) (/ (/ (cbrt (+ x y)) y) 2.0) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (* 2.0 (cbrt y))) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) (* 2.0 y)) (/ (/ 1 (* (cbrt y) (cbrt y))) x) (/ (/ (+ x y) (cbrt y)) 2.0) (/ (/ 1 (sqrt y)) x) (/ (+ x y) (* (sqrt y) 2.0)) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ (/ 1 (* (cbrt y) (cbrt y))) x) (/ (/ (+ x y) (cbrt y)) 2.0) (/ (/ 1 (sqrt y)) x) (/ (+ x y) (* (sqrt y) 2.0)) (/ 1 x) (/ (+ x y) (* 2.0 y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* (* x 2.0) (cbrt y))) (/ 1 (sqrt y)) (/ (/ (+ x y) (sqrt y)) (* x 2.0)) 1 (/ (/ (+ x y) (* y x)) 2.0) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ 1 (* (* x 2.0) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (/ 1 (sqrt y)) (* x 2.0)) (+ x y) (/ (/ 1 (* y x)) 2.0) (/ 1 y) (/ (* (* y x) 2.0) (+ x y)) (/ (+ x y) (* (* (* x 2.0) (cbrt y)) (cbrt y))) (/ (/ (+ x y) (sqrt y)) (* x 2.0)) (/ (+ x y) (* x 2.0)) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ (* y 2.0) (cbrt (+ x y))) (/ (* y 2.0) (sqrt (+ x y))) (/ (* y 2.0) (+ x y)) (/ (* y 2.0) (+ x y)) (/ (* (* y x) 2.0) (+ x y)) (* (* y x) 2.0) (* (* y x) 2.0) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (* (- x) 2.0) (* (/ (cbrt (+ x y)) x) (cbrt (+ x y))) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ (/ 1 x) 2.0) (/ x (/ (+ x y) 2.0)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ x (/ (+ x y) 2.0)) (/ x (/ (+ x y) 2.0)) (* (* 2.0 (fma y (- y x) (* x x))) x) (* 2.0 (* x (- x y))) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) 19.675 * * * [progress]: adding candidates to table 21.002 * [progress]: [Phase 3 of 3] Extracting. 21.002 * * [regime]: Finding splitpoints for: (# # #) 21.002 * * * [regime-changes]: Trying 2 branch expressions: (y x) 21.002 * * * * [regimes]: Trying to branch on y from (# # #) 21.060 * * * * [regimes]: Trying to branch on x from (# # #) 21.121 * * * [regime]: Found split indices: #