83.146 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.030 * * [simplify]: iteration 0: 5 enodes 0.032 * * [simplify]: iteration 1: 8 enodes 0.035 * * [simplify]: iteration 2: 11 enodes 0.039 * * [simplify]: iteration complete: 11 enodes 0.039 * * [simplify]: Extracting #0: cost 1 inf + 0 0.039 * * [simplify]: Extracting #1: cost 5 inf + 0 0.039 * * [simplify]: Extracting #2: cost 6 inf + 1 0.039 * * [simplify]: Extracting #3: cost 2 inf + 86 0.039 * * [simplify]: Extracting #4: cost 0 inf + 291 0.039 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.142 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.142 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.142 * [taylor]: Taking taylor expansion of 1/2 in y 0.142 * [backup-simplify]: Simplify 1/2 into 1/2 0.142 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.142 * [taylor]: Taking taylor expansion of (+ x y) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (+ x 0) into x 0.142 * [backup-simplify]: Simplify (/ x 1) into x 0.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.142 * [taylor]: Taking taylor expansion of 1/2 in x 0.142 * [backup-simplify]: Simplify 1/2 into 1/2 0.142 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.142 * [taylor]: Taking taylor expansion of (+ x y) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (+ 0 y) into y 0.143 * [backup-simplify]: Simplify (/ y y) into 1 0.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.143 * [taylor]: Taking taylor expansion of 1/2 in x 0.143 * [backup-simplify]: Simplify 1/2 into 1/2 0.143 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.143 * [taylor]: Taking taylor expansion of (+ x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (+ 0 y) into y 0.143 * [backup-simplify]: Simplify (/ y y) into 1 0.144 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.144 * [taylor]: Taking taylor expansion of 1/2 in y 0.144 * [backup-simplify]: Simplify 1/2 into 1/2 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.146 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.146 * [taylor]: Taking taylor expansion of 1/2 in y 0.146 * [backup-simplify]: Simplify 1/2 into 1/2 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.147 * [backup-simplify]: Simplify 1/2 into 1/2 0.147 * [backup-simplify]: Simplify 1/2 into 1/2 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.158 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.158 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.158 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.158 * [taylor]: Taking taylor expansion of 1/2 in y 0.158 * [backup-simplify]: Simplify 1/2 into 1/2 0.158 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [backup-simplify]: Simplify x into x 0.159 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.159 * [taylor]: Taking taylor expansion of 1/2 in x 0.159 * [backup-simplify]: Simplify 1/2 into 1/2 0.159 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [backup-simplify]: Simplify y into y 0.160 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.160 * [taylor]: Taking taylor expansion of 1/2 in x 0.160 * [backup-simplify]: Simplify 1/2 into 1/2 0.160 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [backup-simplify]: Simplify y into y 0.160 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [backup-simplify]: Simplify (+ 0 1) into 1 0.161 * [backup-simplify]: Simplify (* 1 y) into y 0.162 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.162 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.162 * [taylor]: Taking taylor expansion of 1/2 in y 0.162 * [backup-simplify]: Simplify 1/2 into 1/2 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.164 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.164 * [taylor]: Taking taylor expansion of 1/2 in y 0.164 * [backup-simplify]: Simplify 1/2 into 1/2 0.164 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1/2 into 1/2 0.169 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.169 * [backup-simplify]: Simplify 1/2 into 1/2 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.179 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.179 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.179 * [taylor]: Taking taylor expansion of 1/2 in y 0.179 * [backup-simplify]: Simplify 1/2 into 1/2 0.180 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [backup-simplify]: Simplify x into x 0.181 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.181 * [taylor]: Taking taylor expansion of 1/2 in x 0.181 * [backup-simplify]: Simplify 1/2 into 1/2 0.181 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.181 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.182 * [taylor]: Taking taylor expansion of 1/2 in x 0.182 * [backup-simplify]: Simplify 1/2 into 1/2 0.182 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [backup-simplify]: Simplify y into y 0.183 * [backup-simplify]: Simplify (+ 0 1) into 1 0.183 * [backup-simplify]: Simplify (* 1 y) into y 0.183 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.183 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.183 * [taylor]: Taking taylor expansion of 1/2 in y 0.183 * [backup-simplify]: Simplify 1/2 into 1/2 0.183 * [taylor]: Taking taylor expansion of y in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.185 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.185 * [taylor]: Taking taylor expansion of 1/2 in y 0.185 * [backup-simplify]: Simplify 1/2 into 1/2 0.186 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1/2 into 1/2 0.190 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.190 * [backup-simplify]: Simplify 1/2 into 1/2 0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.200 * * * [progress]: simplifying candidates 0.203 * [simplify]: Simplifying: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.206 * * [simplify]: iteration 0: 114 enodes 0.266 * * [simplify]: iteration 1: 239 enodes 0.430 * * [simplify]: iteration 2: 677 enodes 1.586 * * [simplify]: iteration 3: 2635 enodes 3.307 * * [simplify]: iteration complete: 5010 enodes 3.307 * * [simplify]: Extracting #0: cost 69 inf + 0 3.335 * * [simplify]: Extracting #1: cost 805 inf + 2 3.345 * * [simplify]: Extracting #2: cost 1515 inf + 2322 3.396 * * [simplify]: Extracting #3: cost 1135 inf + 63826 3.477 * * [simplify]: Extracting #4: cost 167 inf + 229817 3.582 * * [simplify]: Extracting #5: cost 0 inf + 264926 3.716 * * [simplify]: Extracting #6: cost 0 inf + 264886 4.089 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (* -2 y) (* (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (cbrt (+ x y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (/ (cbrt (+ x y)) (cbrt y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (cbrt (+ x y)) (/ (cbrt y) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* (+ (cbrt y) (cbrt y)) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2) (* (/ (cbrt (+ x y)) 2) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (* (/ (cbrt (+ x y)) 2) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (* (/ (cbrt (+ x y)) 2) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (/ (sqrt (+ x y)) (cbrt y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (/ (sqrt (+ x y)) (cbrt y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (/ 1 (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* (+ (cbrt y) (cbrt y)) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ (/ 1 (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* (+ (cbrt y) (cbrt y)) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (* y y) (+ y y))) (/ (+ x y) 0) (* y (+ (fma (- y x) y (* x x)) (fma (- y x) y (* x x)))) (+ (* y (- x y)) (* y (- x y))) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 4.097 * * * [progress]: adding candidates to table 4.606 * * [progress]: iteration 2 / 4 4.606 * * * [progress]: picking best candidate 4.612 * * * * [pick]: Picked # 4.613 * * * [progress]: localizing error 4.626 * * * [progress]: generating rewritten candidates 4.626 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.627 * * * [progress]: generating series expansions 4.627 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.628 * [backup-simplify]: Simplify (fma 1/2 (/ x y) 1/2) into (fma 1/2 (/ x y) 1/2) 4.628 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in (x y) around 0 4.628 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in y 4.628 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 4.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.628 * [taylor]: Taking taylor expansion of 1/2 in y 4.628 * [backup-simplify]: Simplify 1/2 into 1/2 4.628 * [taylor]: Taking taylor expansion of (/ x y) in y 4.628 * [taylor]: Taking taylor expansion of x in y 4.628 * [backup-simplify]: Simplify x into x 4.628 * [taylor]: Taking taylor expansion of y in y 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [backup-simplify]: Simplify (/ x 1) into x 4.628 * [taylor]: Taking taylor expansion of 1/2 in y 4.628 * [backup-simplify]: Simplify 1/2 into 1/2 4.628 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 4.628 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 4.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.628 * [taylor]: Taking taylor expansion of 1/2 in x 4.628 * [backup-simplify]: Simplify 1/2 into 1/2 4.628 * [taylor]: Taking taylor expansion of (/ x y) in x 4.628 * [taylor]: Taking taylor expansion of x in x 4.629 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify 1 into 1 4.629 * [taylor]: Taking taylor expansion of y in x 4.629 * [backup-simplify]: Simplify y into y 4.629 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.629 * [taylor]: Taking taylor expansion of 1/2 in x 4.629 * [backup-simplify]: Simplify 1/2 into 1/2 4.629 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 4.629 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 4.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.629 * [taylor]: Taking taylor expansion of 1/2 in x 4.629 * [backup-simplify]: Simplify 1/2 into 1/2 4.629 * [taylor]: Taking taylor expansion of (/ x y) in x 4.629 * [taylor]: Taking taylor expansion of x in x 4.629 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify 1 into 1 4.629 * [taylor]: Taking taylor expansion of y in x 4.629 * [backup-simplify]: Simplify y into y 4.629 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.629 * [taylor]: Taking taylor expansion of 1/2 in x 4.629 * [backup-simplify]: Simplify 1/2 into 1/2 4.630 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.630 * [taylor]: Taking taylor expansion of 1/2 in y 4.630 * [backup-simplify]: Simplify 1/2 into 1/2 4.630 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 4.630 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 4.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.630 * [taylor]: Taking taylor expansion of 1/2 in y 4.630 * [backup-simplify]: Simplify 1/2 into 1/2 4.630 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.630 * [taylor]: Taking taylor expansion of y in y 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.631 * [backup-simplify]: Simplify (/ 1 1) into 1 4.631 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.631 * [backup-simplify]: Simplify 1/2 into 1/2 4.631 * [backup-simplify]: Simplify 1/2 into 1/2 4.632 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 4.632 * [backup-simplify]: Simplify (+ 0 0) into 0 4.632 * [taylor]: Taking taylor expansion of 0 in y 4.633 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.636 * [backup-simplify]: Simplify (+ 0 0) into 0 4.636 * [taylor]: Taking taylor expansion of 0 in y 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 4.640 * [backup-simplify]: Simplify (+ 0 0) into 0 4.640 * [taylor]: Taking taylor expansion of 0 in y 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 4.641 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 x) (/ 1 y)) 1/2) into (fma 1/2 (/ y x) 1/2) 4.641 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 4.641 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 4.641 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.641 * [taylor]: Taking taylor expansion of 1/2 in y 4.641 * [backup-simplify]: Simplify 1/2 into 1/2 4.641 * [taylor]: Taking taylor expansion of (/ y x) in y 4.641 * [taylor]: Taking taylor expansion of y in y 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [taylor]: Taking taylor expansion of x in y 4.641 * [backup-simplify]: Simplify x into x 4.641 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.641 * [taylor]: Taking taylor expansion of 1/2 in y 4.641 * [backup-simplify]: Simplify 1/2 into 1/2 4.641 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 4.641 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.641 * [taylor]: Taking taylor expansion of 1/2 in x 4.642 * [backup-simplify]: Simplify 1/2 into 1/2 4.642 * [taylor]: Taking taylor expansion of (/ y x) in x 4.642 * [taylor]: Taking taylor expansion of y in x 4.642 * [backup-simplify]: Simplify y into y 4.642 * [taylor]: Taking taylor expansion of x in x 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (/ y 1) into y 4.642 * [taylor]: Taking taylor expansion of 1/2 in x 4.642 * [backup-simplify]: Simplify 1/2 into 1/2 4.642 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 4.642 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.642 * [taylor]: Taking taylor expansion of 1/2 in x 4.642 * [backup-simplify]: Simplify 1/2 into 1/2 4.642 * [taylor]: Taking taylor expansion of (/ y x) in x 4.642 * [taylor]: Taking taylor expansion of y in x 4.642 * [backup-simplify]: Simplify y into y 4.642 * [taylor]: Taking taylor expansion of x in x 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (/ y 1) into y 4.642 * [taylor]: Taking taylor expansion of 1/2 in x 4.642 * [backup-simplify]: Simplify 1/2 into 1/2 4.642 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 4.642 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 4.643 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 4.643 * [taylor]: Taking taylor expansion of 1/2 in y 4.643 * [backup-simplify]: Simplify 1/2 into 1/2 4.643 * [taylor]: Taking taylor expansion of y in y 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 1 into 1 4.643 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 4.645 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.645 * [taylor]: Taking taylor expansion of 1/2 in y 4.645 * [backup-simplify]: Simplify 1/2 into 1/2 4.645 * [backup-simplify]: Simplify 1/2 into 1/2 4.646 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.646 * [backup-simplify]: Simplify 1/2 into 1/2 4.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 4.648 * [backup-simplify]: Simplify (+ 0 0) into 0 4.648 * [taylor]: Taking taylor expansion of 0 in y 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.653 * [backup-simplify]: Simplify (+ 0 0) into 0 4.653 * [taylor]: Taking taylor expansion of 0 in y 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 4.654 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- x)) (/ 1 (- y))) 1/2) into (fma 1/2 (/ y x) 1/2) 4.654 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 4.654 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 4.654 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.654 * [taylor]: Taking taylor expansion of 1/2 in y 4.654 * [backup-simplify]: Simplify 1/2 into 1/2 4.654 * [taylor]: Taking taylor expansion of (/ y x) in y 4.654 * [taylor]: Taking taylor expansion of y in y 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 1 into 1 4.654 * [taylor]: Taking taylor expansion of x in y 4.654 * [backup-simplify]: Simplify x into x 4.654 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.654 * [taylor]: Taking taylor expansion of 1/2 in y 4.654 * [backup-simplify]: Simplify 1/2 into 1/2 4.654 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 4.654 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.654 * [taylor]: Taking taylor expansion of 1/2 in x 4.655 * [backup-simplify]: Simplify 1/2 into 1/2 4.655 * [taylor]: Taking taylor expansion of (/ y x) in x 4.655 * [taylor]: Taking taylor expansion of y in x 4.655 * [backup-simplify]: Simplify y into y 4.655 * [taylor]: Taking taylor expansion of x in x 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (/ y 1) into y 4.655 * [taylor]: Taking taylor expansion of 1/2 in x 4.655 * [backup-simplify]: Simplify 1/2 into 1/2 4.655 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 4.655 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.655 * [taylor]: Taking taylor expansion of 1/2 in x 4.655 * [backup-simplify]: Simplify 1/2 into 1/2 4.655 * [taylor]: Taking taylor expansion of (/ y x) in x 4.655 * [taylor]: Taking taylor expansion of y in x 4.655 * [backup-simplify]: Simplify y into y 4.655 * [taylor]: Taking taylor expansion of x in x 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (/ y 1) into y 4.655 * [taylor]: Taking taylor expansion of 1/2 in x 4.655 * [backup-simplify]: Simplify 1/2 into 1/2 4.656 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 4.656 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 4.656 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 4.656 * [taylor]: Taking taylor expansion of 1/2 in y 4.656 * [backup-simplify]: Simplify 1/2 into 1/2 4.656 * [taylor]: Taking taylor expansion of y in y 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 1 into 1 4.656 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.656 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 4.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 4.658 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.658 * [taylor]: Taking taylor expansion of 1/2 in y 4.658 * [backup-simplify]: Simplify 1/2 into 1/2 4.658 * [backup-simplify]: Simplify 1/2 into 1/2 4.659 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.659 * [backup-simplify]: Simplify 1/2 into 1/2 4.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 4.662 * [backup-simplify]: Simplify (+ 0 0) into 0 4.662 * [taylor]: Taking taylor expansion of 0 in y 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.663 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.666 * [taylor]: Taking taylor expansion of 0 in y 4.666 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 4.667 * * * [progress]: simplifying candidates 4.668 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* 1/2 (/ x y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (* (* (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2)) (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 4.668 * * [simplify]: iteration 0: 16 enodes 4.674 * * [simplify]: iteration 1: 24 enodes 4.686 * * [simplify]: iteration 2: 58 enodes 4.749 * * [simplify]: iteration 3: 203 enodes 5.377 * * [simplify]: iteration 4: 846 enodes 14.515 * * [simplify]: iteration 5: 4612 enodes 28.322 * * [simplify]: iteration complete: 5000 enodes 28.322 * * [simplify]: Extracting #0: cost 10 inf + 0 28.323 * * [simplify]: Extracting #1: cost 97 inf + 0 28.328 * * [simplify]: Extracting #2: cost 773 inf + 1065 28.370 * * [simplify]: Extracting #3: cost 202 inf + 89384 28.458 * * [simplify]: Extracting #4: cost 10 inf + 129834 28.553 * * [simplify]: Extracting #5: cost 1 inf + 130953 28.820 * * [simplify]: Extracting #6: cost 0 inf + 131262 28.922 * [simplify]: Simplified to: (expm1 (fma (/ 1/2 y) x 1/2)) (log1p (fma (/ 1/2 y) x 1/2)) (* 1/2 (/ x y)) (log (fma (/ 1/2 y) x 1/2)) (exp (fma (/ 1/2 y) x 1/2)) (* (cbrt (fma (/ 1/2 y) x 1/2)) (cbrt (fma (/ 1/2 y) x 1/2))) (cbrt (fma (/ 1/2 y) x 1/2)) (* (fma (/ 1/2 y) x 1/2) (* (fma (/ 1/2 y) x 1/2) (fma (/ 1/2 y) x 1/2))) (sqrt (fma (/ 1/2 y) x 1/2)) (sqrt (fma (/ 1/2 y) x 1/2)) (fma (/ 1/2 y) x 1/2) (fma (/ 1/2 y) x 1/2) (fma (/ 1/2 y) x 1/2) 28.923 * * * [progress]: adding candidates to table 29.118 * [progress]: [Phase 3 of 3] Extracting. 29.118 * * [regime]: Finding splitpoints for: (# #) 29.119 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y y)) y x) 29.119 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y y)) from (# #) 29.491 * * * * [regimes]: Trying to branch on y from (# #) 29.569 * * * * [regimes]: Trying to branch on x from (# #) 29.690 * * * [regime]: Found split indices: #