60.386 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: Extracting # 3 : cost 0 0.024 * * [simplify]: Extracting # 4 : cost 0 0.024 * * [simplify]: Extracting # 5 : cost 0 0.024 * * [simplify]: Extracting # 6 : cost 0 0.024 * * [simplify]: iteration 0 : 9 enodes (cost 12 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: iteration 1 : 14 enodes (cost 11 ) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: iteration 2 : 24 enodes (cost 10 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: Extracting # 1 : cost 0 0.033 * * [simplify]: iteration 3 : 30 enodes (cost 10 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: iteration done: 30 enodes (cost 10 ) 0.038 * [simplify]: Simplified to: (sqrt (fma z z (fma x x (* y y)))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.144 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.164 * * * [progress]: generating series expansions 0.164 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.164 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.164 * [taylor]: Taking taylor expansion of x in z 0.164 * [backup-simplify]: Simplify x into x 0.165 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.165 * [taylor]: Taking taylor expansion of y in z 0.165 * [backup-simplify]: Simplify y into y 0.165 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.165 * [taylor]: Taking taylor expansion of z in z 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.165 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.165 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.165 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.166 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.166 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.166 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.168 * [taylor]: Taking taylor expansion of z in y 0.168 * [backup-simplify]: Simplify z into z 0.168 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.168 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.168 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.169 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.169 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.169 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.169 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [backup-simplify]: Simplify y into y 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.171 * [taylor]: Taking taylor expansion of z in x 0.171 * [backup-simplify]: Simplify z into z 0.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.171 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.172 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.172 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.172 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.172 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.172 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [backup-simplify]: Simplify y into y 0.174 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.174 * [taylor]: Taking taylor expansion of z in x 0.174 * [backup-simplify]: Simplify z into z 0.174 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.174 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.175 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.175 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.175 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.175 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.176 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.177 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.177 * [taylor]: Taking taylor expansion of z in y 0.177 * [backup-simplify]: Simplify z into z 0.177 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.178 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.178 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.178 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.179 * [taylor]: Taking taylor expansion of z in z 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.181 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 0.183 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 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 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.183 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.183 * [taylor]: Taking taylor expansion of z in y 0.183 * [backup-simplify]: Simplify z into z 0.183 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.184 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.184 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.184 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.185 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.185 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.185 * [taylor]: Taking taylor expansion of 1/2 in z 0.185 * [backup-simplify]: Simplify 1/2 into 1/2 0.185 * [taylor]: Taking taylor expansion of z in z 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [taylor]: Taking taylor expansion of 0 in z 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.189 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.189 * [taylor]: Taking taylor expansion of 1/2 in z 0.190 * [backup-simplify]: Simplify 1/2 into 1/2 0.190 * [taylor]: Taking taylor expansion of z in z 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.192 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 0.192 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.192 * [taylor]: Taking taylor expansion of x in z 0.192 * [backup-simplify]: Simplify x into x 0.192 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.193 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.193 * [taylor]: Taking taylor expansion of z in z 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.194 * [taylor]: Taking taylor expansion of y in z 0.194 * [backup-simplify]: Simplify y into y 0.194 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.194 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [backup-simplify]: Simplify (+ 0 1) into 1 0.196 * [backup-simplify]: Simplify (sqrt 1) into 1 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [backup-simplify]: Simplify x into x 0.199 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.199 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.199 * [taylor]: Taking taylor expansion of z in y 0.199 * [backup-simplify]: Simplify z into z 0.200 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.200 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (+ 0 1) into 1 0.202 * [backup-simplify]: Simplify (+ 0 1) into 1 0.202 * [backup-simplify]: Simplify (sqrt 1) into 1 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.207 * [taylor]: Taking taylor expansion of z in x 0.207 * [backup-simplify]: Simplify z into z 0.207 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.207 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [backup-simplify]: Simplify y into y 0.207 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (sqrt 1) into 1 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.221 * [taylor]: Taking taylor expansion of z in x 0.221 * [backup-simplify]: Simplify z into z 0.221 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.221 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [backup-simplify]: Simplify y into y 0.221 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.223 * [backup-simplify]: Simplify (sqrt 1) into 1 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.226 * [taylor]: Taking taylor expansion of 1 in y 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [taylor]: Taking taylor expansion of 1 in z 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.229 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.231 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.231 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.232 * [taylor]: Taking taylor expansion of 1/2 in y 0.232 * [backup-simplify]: Simplify 1/2 into 1/2 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.232 * [taylor]: Taking taylor expansion of z in y 0.232 * [backup-simplify]: Simplify z into z 0.232 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.233 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.238 * [taylor]: Taking taylor expansion of 0 in z 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [taylor]: Taking taylor expansion of 0 in z 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [taylor]: Taking taylor expansion of 0 in z 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.241 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.248 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.248 * [taylor]: Taking taylor expansion of 1/2 in z 0.248 * [backup-simplify]: Simplify 1/2 into 1/2 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.248 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.248 * [taylor]: Taking taylor expansion of z in z 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [taylor]: Taking taylor expansion of 0 in z 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [taylor]: Taking taylor expansion of 0 in z 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.257 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.261 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.261 * [taylor]: Taking taylor expansion of -1/2 in y 0.261 * [backup-simplify]: Simplify -1/2 into -1/2 0.261 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.261 * [taylor]: Taking taylor expansion of 1/4 in y 0.261 * [backup-simplify]: Simplify 1/4 into 1/4 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.261 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.261 * [taylor]: Taking taylor expansion of z in y 0.261 * [backup-simplify]: Simplify z into z 0.261 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.261 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.262 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.262 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.262 * [taylor]: Taking taylor expansion of 1/2 in y 0.262 * [backup-simplify]: Simplify 1/2 into 1/2 0.262 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.262 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.262 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.262 * [taylor]: Taking taylor expansion of z in y 0.262 * [backup-simplify]: Simplify z into z 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.263 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.263 * [taylor]: Taking taylor expansion of 1/4 in y 0.263 * [backup-simplify]: Simplify 1/4 into 1/4 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.266 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.281 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.281 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.284 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.284 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.285 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.285 * [taylor]: Taking taylor expansion of 0 in z 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [taylor]: Taking taylor expansion of 0 in z 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.290 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 0.290 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.291 * [taylor]: Taking taylor expansion of x in z 0.291 * [backup-simplify]: Simplify x into x 0.291 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.291 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.291 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.291 * [taylor]: Taking taylor expansion of z in z 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.292 * [taylor]: Taking taylor expansion of y in z 0.292 * [backup-simplify]: Simplify y into y 0.292 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.292 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [backup-simplify]: Simplify (+ 0 1) into 1 0.293 * [backup-simplify]: Simplify (sqrt 1) into 1 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [backup-simplify]: Simplify x into x 0.296 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.296 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.296 * [taylor]: Taking taylor expansion of z in y 0.296 * [backup-simplify]: Simplify z into z 0.296 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.296 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (+ 0 1) into 1 0.297 * [backup-simplify]: Simplify (+ 0 1) into 1 0.298 * [backup-simplify]: Simplify (sqrt 1) into 1 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.300 * [taylor]: Taking taylor expansion of z in x 0.300 * [backup-simplify]: Simplify z into z 0.300 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.300 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.301 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (sqrt 1) into 1 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.304 * [taylor]: Taking taylor expansion of z in x 0.304 * [backup-simplify]: Simplify z into z 0.304 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [backup-simplify]: Simplify y into y 0.304 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.305 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.307 * [taylor]: Taking taylor expansion of 1 in y 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [taylor]: Taking taylor expansion of 1 in z 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.309 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.310 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.310 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.310 * [taylor]: Taking taylor expansion of 1/2 in y 0.310 * [backup-simplify]: Simplify 1/2 into 1/2 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.310 * [taylor]: Taking taylor expansion of z in y 0.310 * [backup-simplify]: Simplify z into z 0.310 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.310 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 1) into 1 0.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.313 * [taylor]: Taking taylor expansion of 0 in z 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [taylor]: Taking taylor expansion of 0 in z 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [taylor]: Taking taylor expansion of 0 in z 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.315 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.318 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.318 * [taylor]: Taking taylor expansion of 1/2 in z 0.318 * [backup-simplify]: Simplify 1/2 into 1/2 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.318 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.318 * [taylor]: Taking taylor expansion of z in z 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [taylor]: Taking taylor expansion of 0 in z 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [taylor]: Taking taylor expansion of 0 in z 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.326 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.329 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.329 * [taylor]: Taking taylor expansion of -1/2 in y 0.330 * [backup-simplify]: Simplify -1/2 into -1/2 0.330 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.330 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.330 * [taylor]: Taking taylor expansion of 1/4 in y 0.330 * [backup-simplify]: Simplify 1/4 into 1/4 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.330 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.330 * [taylor]: Taking taylor expansion of z in y 0.330 * [backup-simplify]: Simplify z into z 0.330 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.330 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.330 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.330 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.330 * [taylor]: Taking taylor expansion of 1/2 in y 0.330 * [backup-simplify]: Simplify 1/2 into 1/2 0.330 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.330 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.331 * [taylor]: Taking taylor expansion of z in y 0.331 * [backup-simplify]: Simplify z into z 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.332 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.332 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.332 * [taylor]: Taking taylor expansion of 1/4 in y 0.332 * [backup-simplify]: Simplify 1/4 into 1/4 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.335 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.349 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.349 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.349 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.350 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.352 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.353 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.354 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in z 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [taylor]: Taking taylor expansion of 0 in z 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in z 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in z 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in z 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.363 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.363 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.363 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.363 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [backup-simplify]: Simplify x into x 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [backup-simplify]: Simplify y into y 0.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [backup-simplify]: Simplify y into y 0.364 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.364 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.367 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [taylor]: Taking taylor expansion of 1 in y 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.372 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.374 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.374 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [backup-simplify]: Simplify x into x 0.374 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.375 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (* 1 1) into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.383 * [backup-simplify]: Simplify y into y 0.383 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.383 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (* 1 1) into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [backup-simplify]: Simplify y into y 0.385 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.385 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.386 * [backup-simplify]: Simplify (+ 1 0) into 1 0.386 * [taylor]: Taking taylor expansion of 1 in y 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.405 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.405 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [backup-simplify]: Simplify x into x 0.405 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.406 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [backup-simplify]: Simplify y into y 0.408 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.408 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [backup-simplify]: Simplify y into y 0.410 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.410 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.410 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.428 * * * [progress]: simplifying candidates 0.429 * [simplify]: Simplifying: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.430 * * [simplify]: Extracting # 0 : cost 0 0.430 * * [simplify]: Extracting # 1 : cost 0 0.431 * * [simplify]: Extracting # 2 : cost 0 0.431 * * [simplify]: Extracting # 3 : cost 0 0.431 * * [simplify]: Extracting # 4 : cost 0 0.431 * * [simplify]: Extracting # 5 : cost 0 0.431 * * [simplify]: Extracting # 6 : cost 0 0.432 * * [simplify]: iteration 0 : 67 enodes (cost 513 ) 0.464 * * [simplify]: Extracting # 0 : cost 0 0.465 * * [simplify]: Extracting # 1 : cost 0 0.465 * * [simplify]: Extracting # 2 : cost 0 0.465 * * [simplify]: Extracting # 3 : cost 0 0.466 * * [simplify]: Extracting # 4 : cost 0 0.466 * * [simplify]: iteration 1 : 185 enodes (cost 411 ) 0.569 * * [simplify]: Extracting # 0 : cost 0 0.569 * * [simplify]: Extracting # 1 : cost 0 0.570 * * [simplify]: Extracting # 2 : cost 0 0.571 * * [simplify]: Extracting # 3 : cost 0 0.571 * * [simplify]: Extracting # 4 : cost 0 0.572 * * [simplify]: iteration 2 : 571 enodes (cost 367 ) 0.920 * * [simplify]: Extracting # 0 : cost 0 0.927 * * [simplify]: Extracting # 1 : cost 0 0.929 * * [simplify]: Extracting # 2 : cost 0 0.931 * * [simplify]: Extracting # 3 : cost 0 0.933 * * [simplify]: Extracting # 4 : cost 0 0.935 * * [simplify]: iteration 3 : 1672 enodes (cost 359 ) 2.132 * * [simplify]: Extracting # 0 : cost 0 2.144 * * [simplify]: Extracting # 1 : cost 0 2.157 * * [simplify]: Extracting # 2 : cost 0 2.169 * * [simplify]: Extracting # 3 : cost 0 2.182 * * [simplify]: Extracting # 4 : cost 0 2.195 * * [simplify]: iteration done: 5000 enodes (cost 358 ) 2.195 * [simplify]: Simplified to: (expm1 (sqrt (fma z z (fma x x (* y y))))) (log1p (sqrt (fma z z (fma x x (* y y))))) (log (sqrt (fma z z (fma x x (* y y))))) (exp (sqrt (fma z z (fma x x (* y y))))) (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y)))))) (cbrt (sqrt (fma z z (fma x x (* y y))))) (pow (sqrt (fma z z (fma x x (* y y)))) 3) (fabs (cbrt (fma z z (fma x x (* y y))))) (sqrt (cbrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) 1 (sqrt (fma z z (fma x x (* y y)))) (hypot (pow (fma x x (* y y)) 3/2) (pow z 3)) (sqrt (fma (fma x x (* y y)) (- (fma x x (* y y)) (* z z)) (pow z 4))) (sqrt (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4))) (sqrt (- (fma x x (* y y)) (* z z))) 1/2 (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (exp (fma x x (* y y))) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (+ (pow y 6) (pow x 6)) (fma (* y y) (- (* y y) (* x x)) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) z x (- x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 2.196 * * * [progress]: adding candidates to table 2.367 * * [progress]: iteration 2 / 4 2.367 * * * [progress]: picking best candidate 2.373 * * * * [pick]: Picked # 2.373 * * * [progress]: localizing error 2.391 * * * [progress]: generating rewritten candidates 2.391 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.417 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 2.436 * * * [progress]: generating series expansions 2.436 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.436 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 2.437 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.437 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.437 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.437 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.437 * [taylor]: Taking taylor expansion of x in y 2.437 * [backup-simplify]: Simplify x into x 2.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.437 * [taylor]: Taking taylor expansion of y in y 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.437 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.437 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.437 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.438 * [backup-simplify]: Simplify (+ 0 0) into 0 2.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 2.438 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.438 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.439 * [taylor]: Taking taylor expansion of x in x 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.439 * [taylor]: Taking taylor expansion of y in x 2.439 * [backup-simplify]: Simplify y into y 2.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.439 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.439 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.439 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.440 * [taylor]: Taking taylor expansion of x in x 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 1 into 1 2.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.440 * [taylor]: Taking taylor expansion of y in x 2.440 * [backup-simplify]: Simplify y into y 2.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.440 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.441 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 2.441 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.441 * [backup-simplify]: Simplify (+ 0 0) into 0 2.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 2.441 * [taylor]: Taking taylor expansion of y in y 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [taylor]: Taking taylor expansion of 0 in y 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (* 1 1) into 1 2.443 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.443 * [backup-simplify]: Simplify (+ 1 0) into 1 2.444 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 2.444 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.444 * [taylor]: Taking taylor expansion of 1/2 in y 2.444 * [backup-simplify]: Simplify 1/2 into 1/2 2.444 * [taylor]: Taking taylor expansion of y in y 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.448 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 2.448 * [taylor]: Taking taylor expansion of 0 in y 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 2.450 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.450 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.450 * [taylor]: Taking taylor expansion of x in y 2.450 * [backup-simplify]: Simplify x into x 2.451 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.451 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.451 * [taylor]: Taking taylor expansion of y in y 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (* 1 1) into 1 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.452 * [backup-simplify]: Simplify (+ 0 1) into 1 2.453 * [backup-simplify]: Simplify (sqrt 1) into 1 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.456 * [taylor]: Taking taylor expansion of x in x 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.456 * [backup-simplify]: Simplify (* 1 1) into 1 2.457 * [backup-simplify]: Simplify (/ 1 1) into 1 2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.457 * [taylor]: Taking taylor expansion of y in x 2.457 * [backup-simplify]: Simplify y into y 2.457 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.457 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.458 * [backup-simplify]: Simplify (+ 1 0) into 1 2.458 * [backup-simplify]: Simplify (sqrt 1) into 1 2.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.461 * [taylor]: Taking taylor expansion of x in x 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (* 1 1) into 1 2.462 * [backup-simplify]: Simplify (/ 1 1) into 1 2.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.462 * [taylor]: Taking taylor expansion of y in x 2.462 * [backup-simplify]: Simplify y into y 2.462 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.463 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.463 * [backup-simplify]: Simplify (+ 1 0) into 1 2.464 * [backup-simplify]: Simplify (sqrt 1) into 1 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.466 * [taylor]: Taking taylor expansion of 1 in y 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [taylor]: Taking taylor expansion of 0 in y 2.466 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.469 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.469 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.469 * [taylor]: Taking taylor expansion of 1/2 in y 2.469 * [backup-simplify]: Simplify 1/2 into 1/2 2.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.469 * [taylor]: Taking taylor expansion of y in y 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [backup-simplify]: Simplify (* 1 1) into 1 2.470 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.472 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.473 * [backup-simplify]: Simplify (+ 0 0) into 0 2.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.473 * [taylor]: Taking taylor expansion of 0 in y 2.473 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 2.475 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.475 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.475 * [taylor]: Taking taylor expansion of x in y 2.475 * [backup-simplify]: Simplify x into x 2.475 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.475 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.475 * [taylor]: Taking taylor expansion of y in y 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [backup-simplify]: Simplify (* 1 1) into 1 2.476 * [backup-simplify]: Simplify (/ 1 1) into 1 2.476 * [backup-simplify]: Simplify (+ 0 1) into 1 2.476 * [backup-simplify]: Simplify (sqrt 1) into 1 2.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (+ 0 0) into 0 2.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (* 1 1) into 1 2.478 * [backup-simplify]: Simplify (/ 1 1) into 1 2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.479 * [taylor]: Taking taylor expansion of y in x 2.479 * [backup-simplify]: Simplify y into y 2.479 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.479 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.479 * [backup-simplify]: Simplify (+ 1 0) into 1 2.480 * [backup-simplify]: Simplify (sqrt 1) into 1 2.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.481 * [taylor]: Taking taylor expansion of x in x 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [backup-simplify]: Simplify (* 1 1) into 1 2.482 * [backup-simplify]: Simplify (/ 1 1) into 1 2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.482 * [taylor]: Taking taylor expansion of y in x 2.482 * [backup-simplify]: Simplify y into y 2.482 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.482 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.482 * [backup-simplify]: Simplify (+ 1 0) into 1 2.483 * [backup-simplify]: Simplify (sqrt 1) into 1 2.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.484 * [backup-simplify]: Simplify (+ 0 0) into 0 2.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.484 * [taylor]: Taking taylor expansion of 1 in y 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [taylor]: Taking taylor expansion of 0 in y 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.486 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.487 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 2.487 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.487 * [taylor]: Taking taylor expansion of 1/2 in y 2.487 * [backup-simplify]: Simplify 1/2 into 1/2 2.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.487 * [taylor]: Taking taylor expansion of y in y 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (* 1 1) into 1 2.487 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.490 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.490 * [backup-simplify]: Simplify (+ 0 0) into 0 2.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 2.491 * [taylor]: Taking taylor expansion of 0 in y 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 2.492 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 2.492 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 2.492 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 2.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.492 * [taylor]: Taking taylor expansion of x in y 2.492 * [backup-simplify]: Simplify x into x 2.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.492 * [taylor]: Taking taylor expansion of y in y 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 1 into 1 2.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.492 * [taylor]: Taking taylor expansion of x in x 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 1 into 1 2.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.492 * [taylor]: Taking taylor expansion of y in x 2.492 * [backup-simplify]: Simplify y into y 2.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.492 * [taylor]: Taking taylor expansion of x in x 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 1 into 1 2.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.493 * [taylor]: Taking taylor expansion of y in x 2.493 * [backup-simplify]: Simplify y into y 2.493 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.493 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.493 * [taylor]: Taking taylor expansion of y in y 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.493 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.493 * [backup-simplify]: Simplify (+ 0 0) into 0 2.493 * [taylor]: Taking taylor expansion of 0 in y 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (* 1 1) into 1 2.494 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.494 * [backup-simplify]: Simplify (+ 1 0) into 1 2.494 * [taylor]: Taking taylor expansion of 1 in y 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (* 1 1) into 1 2.495 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.496 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.496 * [backup-simplify]: Simplify (+ 0 0) into 0 2.496 * [taylor]: Taking taylor expansion of 0 in y 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.497 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.498 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.498 * [taylor]: Taking taylor expansion of 0 in y 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 2.499 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.499 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.499 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.499 * [taylor]: Taking taylor expansion of x in y 2.499 * [backup-simplify]: Simplify x into x 2.499 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.499 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.499 * [taylor]: Taking taylor expansion of y in y 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (* 1 1) into 1 2.500 * [backup-simplify]: Simplify (/ 1 1) into 1 2.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.500 * [taylor]: Taking taylor expansion of x in x 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (* 1 1) into 1 2.500 * [backup-simplify]: Simplify (/ 1 1) into 1 2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.501 * [taylor]: Taking taylor expansion of y in x 2.501 * [backup-simplify]: Simplify y into y 2.501 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (* 1 1) into 1 2.501 * [backup-simplify]: Simplify (/ 1 1) into 1 2.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.502 * [taylor]: Taking taylor expansion of y in x 2.502 * [backup-simplify]: Simplify y into y 2.502 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.502 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.502 * [backup-simplify]: Simplify (+ 1 0) into 1 2.502 * [taylor]: Taking taylor expansion of 1 in y 2.502 * [backup-simplify]: Simplify 1 into 1 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (+ 0 0) into 0 2.503 * [taylor]: Taking taylor expansion of 0 in y 2.503 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.505 * [taylor]: Taking taylor expansion of y in y 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify (* 1 1) into 1 2.505 * [backup-simplify]: Simplify (/ 1 1) into 1 2.505 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify 1 into 1 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.507 * [backup-simplify]: Simplify (+ 0 0) into 0 2.507 * [taylor]: Taking taylor expansion of 0 in y 2.507 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.511 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [taylor]: Taking taylor expansion of 0 in y 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.512 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.512 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.512 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.512 * [taylor]: Taking taylor expansion of x in y 2.513 * [backup-simplify]: Simplify x into x 2.513 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.513 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.513 * [taylor]: Taking taylor expansion of y in y 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [backup-simplify]: Simplify (* 1 1) into 1 2.513 * [backup-simplify]: Simplify (/ 1 1) into 1 2.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (* 1 1) into 1 2.514 * [backup-simplify]: Simplify (/ 1 1) into 1 2.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.514 * [taylor]: Taking taylor expansion of y in x 2.514 * [backup-simplify]: Simplify y into y 2.514 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.514 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.514 * [taylor]: Taking taylor expansion of x in x 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 1 into 1 2.515 * [backup-simplify]: Simplify (* 1 1) into 1 2.515 * [backup-simplify]: Simplify (/ 1 1) into 1 2.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.515 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.515 * [taylor]: Taking taylor expansion of y in x 2.515 * [backup-simplify]: Simplify y into y 2.515 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.515 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.515 * [backup-simplify]: Simplify (+ 1 0) into 1 2.516 * [taylor]: Taking taylor expansion of 1 in y 2.516 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify (+ 0 0) into 0 2.517 * [taylor]: Taking taylor expansion of 0 in y 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.518 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.518 * [taylor]: Taking taylor expansion of y in y 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [backup-simplify]: Simplify (* 1 1) into 1 2.519 * [backup-simplify]: Simplify (/ 1 1) into 1 2.519 * [backup-simplify]: Simplify 1 into 1 2.519 * [backup-simplify]: Simplify 1 into 1 2.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.521 * [backup-simplify]: Simplify (+ 0 0) into 0 2.521 * [taylor]: Taking taylor expansion of 0 in y 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.532 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [taylor]: Taking taylor expansion of 0 in y 2.532 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.536 * * * [progress]: simplifying candidates 2.537 * [simplify]: Simplifying: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.538 * * [simplify]: Extracting # 0 : cost 0 2.538 * * [simplify]: Extracting # 1 : cost 0 2.538 * * [simplify]: Extracting # 2 : cost 0 2.539 * * [simplify]: Extracting # 3 : cost 0 2.539 * * [simplify]: Extracting # 4 : cost 0 2.539 * * [simplify]: Extracting # 5 : cost 0 2.539 * * [simplify]: iteration 0 : 52 enodes (cost 413 ) 2.557 * * [simplify]: Extracting # 0 : cost 0 2.557 * * [simplify]: Extracting # 1 : cost 0 2.558 * * [simplify]: Extracting # 2 : cost 0 2.558 * * [simplify]: Extracting # 3 : cost 0 2.558 * * [simplify]: Extracting # 4 : cost 0 2.558 * * [simplify]: iteration 1 : 134 enodes (cost 285 ) 2.632 * * [simplify]: Extracting # 0 : cost 0 2.638 * * [simplify]: Extracting # 1 : cost 0 2.639 * * [simplify]: Extracting # 2 : cost 0 2.639 * * [simplify]: Extracting # 3 : cost 0 2.640 * * [simplify]: Extracting # 4 : cost 0 2.641 * * [simplify]: iteration 2 : 396 enodes (cost 237 ) 2.908 * * [simplify]: Extracting # 0 : cost 0 2.911 * * [simplify]: Extracting # 1 : cost 0 2.914 * * [simplify]: Extracting # 2 : cost 0 2.916 * * [simplify]: Extracting # 3 : cost 0 2.918 * * [simplify]: Extracting # 4 : cost 0 2.920 * * [simplify]: iteration 3 : 1156 enodes (cost 233 ) 4.185 * * [simplify]: Extracting # 0 : cost 0 4.193 * * [simplify]: Extracting # 1 : cost 0 4.199 * * [simplify]: Extracting # 2 : cost 0 4.205 * * [simplify]: Extracting # 3 : cost 0 4.211 * * [simplify]: Extracting # 4 : cost 0 4.226 * * [simplify]: iteration 4 : 3429 enodes (cost 233 ) 5.585 * * [simplify]: Extracting # 0 : cost 0 5.596 * * [simplify]: Extracting # 1 : cost 0 5.605 * * [simplify]: Extracting # 2 : cost 0 5.611 * * [simplify]: Extracting # 3 : cost 0 5.616 * * [simplify]: iteration done: 5000 enodes (cost 233 ) 5.617 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (fabs (cbrt (fma x x (* y y)))) (sqrt (cbrt (fma x x (* y y)))) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (fma (* y y) (- (* y y) (* x x)) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (exp (fma x x (* y y))) (* 2 (log (hypot x y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (+ (pow x 6) (pow y 6)) (fma (* y y) (- (* y y) (* x x)) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (- x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 5.617 * * * [progress]: adding candidates to table 5.827 * * [progress]: iteration 3 / 4 5.827 * * * [progress]: picking best candidate 5.831 * * * * [pick]: Picked # 5.831 * * * [progress]: localizing error 5.842 * * * [progress]: generating rewritten candidates 5.842 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 5.842 * * * [progress]: generating series expansions 5.842 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 5.842 * [backup-simplify]: Simplify (hypot x y) into (hypot x y) 5.842 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 5.842 * [taylor]: Taking taylor expansion of (hypot x y) in y 5.843 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 5.843 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 5.843 * [taylor]: Taking taylor expansion of (* x x) in y 5.843 * [taylor]: Taking taylor expansion of x in y 5.843 * [backup-simplify]: Simplify x into x 5.843 * [taylor]: Taking taylor expansion of x in y 5.843 * [backup-simplify]: Simplify x into x 5.843 * [taylor]: Taking taylor expansion of (* y y) in y 5.843 * [taylor]: Taking taylor expansion of y in y 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.843 * [taylor]: Taking taylor expansion of y in y 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.843 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.843 * [backup-simplify]: Simplify (* 0 0) into 0 5.843 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.843 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 5.844 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.844 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.844 * [backup-simplify]: Simplify (+ 0 0) into 0 5.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 5.844 * [taylor]: Taking taylor expansion of (hypot x y) in x 5.844 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 5.845 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 5.845 * [taylor]: Taking taylor expansion of (* x x) in x 5.845 * [taylor]: Taking taylor expansion of x in x 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [taylor]: Taking taylor expansion of x in x 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [taylor]: Taking taylor expansion of (* y y) in x 5.845 * [taylor]: Taking taylor expansion of y in x 5.845 * [backup-simplify]: Simplify y into y 5.845 * [taylor]: Taking taylor expansion of y in x 5.845 * [backup-simplify]: Simplify y into y 5.845 * [backup-simplify]: Simplify (* 0 0) into 0 5.845 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.845 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.845 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.846 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.846 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.846 * [backup-simplify]: Simplify (+ 0 0) into 0 5.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.846 * [taylor]: Taking taylor expansion of (hypot x y) in x 5.846 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 5.846 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 5.846 * [taylor]: Taking taylor expansion of (* x x) in x 5.846 * [taylor]: Taking taylor expansion of x in x 5.846 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [taylor]: Taking taylor expansion of x in x 5.846 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [taylor]: Taking taylor expansion of (* y y) in x 5.846 * [taylor]: Taking taylor expansion of y in x 5.846 * [backup-simplify]: Simplify y into y 5.846 * [taylor]: Taking taylor expansion of y in x 5.846 * [backup-simplify]: Simplify y into y 5.847 * [backup-simplify]: Simplify (* 0 0) into 0 5.847 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.847 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.847 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 5.847 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.847 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.848 * [backup-simplify]: Simplify (+ 0 0) into 0 5.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 5.848 * [taylor]: Taking taylor expansion of y in y 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 1 into 1 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [taylor]: Taking taylor expansion of 0 in y 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 1 into 1 5.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.849 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.849 * [backup-simplify]: Simplify (+ 1 0) into 1 5.849 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 5.850 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 5.850 * [taylor]: Taking taylor expansion of 1/2 in y 5.850 * [backup-simplify]: Simplify 1/2 into 1/2 5.850 * [taylor]: Taking taylor expansion of y in y 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 1 into 1 5.850 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.852 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.852 * [backup-simplify]: Simplify (+ 0 0) into 0 5.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 5.852 * [taylor]: Taking taylor expansion of 0 in y 5.852 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 5.853 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y)) 5.853 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 5.853 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 5.853 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 5.853 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 5.853 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 5.853 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.853 * [taylor]: Taking taylor expansion of x in y 5.853 * [backup-simplify]: Simplify x into x 5.853 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.853 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.853 * [taylor]: Taking taylor expansion of x in y 5.853 * [backup-simplify]: Simplify x into x 5.853 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.853 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 5.853 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.853 * [taylor]: Taking taylor expansion of y in y 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify 1 into 1 5.854 * [backup-simplify]: Simplify (/ 1 1) into 1 5.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.854 * [taylor]: Taking taylor expansion of y in y 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 1 into 1 5.854 * [backup-simplify]: Simplify (/ 1 1) into 1 5.854 * [backup-simplify]: Simplify (* 1 1) into 1 5.855 * [backup-simplify]: Simplify (+ 0 1) into 1 5.855 * [backup-simplify]: Simplify (sqrt 1) into 1 5.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.857 * [backup-simplify]: Simplify (+ 0 0) into 0 5.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.857 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 5.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 5.857 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 5.857 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.857 * [taylor]: Taking taylor expansion of x in x 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 1 into 1 5.858 * [backup-simplify]: Simplify (/ 1 1) into 1 5.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.858 * [taylor]: Taking taylor expansion of x in x 5.858 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify 1 into 1 5.858 * [backup-simplify]: Simplify (/ 1 1) into 1 5.858 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 5.858 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.858 * [taylor]: Taking taylor expansion of y in x 5.858 * [backup-simplify]: Simplify y into y 5.858 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.858 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.858 * [taylor]: Taking taylor expansion of y in x 5.858 * [backup-simplify]: Simplify y into y 5.858 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.859 * [backup-simplify]: Simplify (* 1 1) into 1 5.859 * [backup-simplify]: Simplify (+ 1 0) into 1 5.859 * [backup-simplify]: Simplify (sqrt 1) into 1 5.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.861 * [backup-simplify]: Simplify (+ 0 0) into 0 5.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.861 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 5.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 5.861 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 5.861 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.861 * [taylor]: Taking taylor expansion of x in x 5.861 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.862 * [backup-simplify]: Simplify (/ 1 1) into 1 5.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.862 * [taylor]: Taking taylor expansion of x in x 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.862 * [backup-simplify]: Simplify (/ 1 1) into 1 5.862 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 5.862 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.862 * [taylor]: Taking taylor expansion of y in x 5.862 * [backup-simplify]: Simplify y into y 5.862 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.862 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.862 * [taylor]: Taking taylor expansion of y in x 5.862 * [backup-simplify]: Simplify y into y 5.862 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.863 * [backup-simplify]: Simplify (* 1 1) into 1 5.863 * [backup-simplify]: Simplify (+ 1 0) into 1 5.863 * [backup-simplify]: Simplify (sqrt 1) into 1 5.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.865 * [backup-simplify]: Simplify (+ 0 0) into 0 5.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.865 * [taylor]: Taking taylor expansion of 1 in y 5.865 * [backup-simplify]: Simplify 1 into 1 5.865 * [taylor]: Taking taylor expansion of 0 in y 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 1 into 1 5.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.868 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 5.868 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.870 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.870 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.870 * [taylor]: Taking taylor expansion of 1/2 in y 5.870 * [backup-simplify]: Simplify 1/2 into 1/2 5.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.870 * [taylor]: Taking taylor expansion of y in y 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [backup-simplify]: Simplify (* 1 1) into 1 5.871 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.877 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 5.878 * [backup-simplify]: Simplify (+ 0 0) into 0 5.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.879 * [taylor]: Taking taylor expansion of 0 in y 5.879 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 5.882 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y)) 5.882 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 5.882 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 5.883 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 5.883 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 5.883 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 5.883 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.883 * [taylor]: Taking taylor expansion of -1 in y 5.883 * [backup-simplify]: Simplify -1 into -1 5.883 * [taylor]: Taking taylor expansion of x in y 5.883 * [backup-simplify]: Simplify x into x 5.883 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.883 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.883 * [taylor]: Taking taylor expansion of -1 in y 5.883 * [backup-simplify]: Simplify -1 into -1 5.883 * [taylor]: Taking taylor expansion of x in y 5.883 * [backup-simplify]: Simplify x into x 5.883 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.883 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 5.883 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.883 * [taylor]: Taking taylor expansion of -1 in y 5.883 * [backup-simplify]: Simplify -1 into -1 5.883 * [taylor]: Taking taylor expansion of y in y 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (/ -1 1) into -1 5.884 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.884 * [taylor]: Taking taylor expansion of -1 in y 5.884 * [backup-simplify]: Simplify -1 into -1 5.884 * [taylor]: Taking taylor expansion of y in y 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.885 * [backup-simplify]: Simplify (/ -1 1) into -1 5.885 * [backup-simplify]: Simplify (* -1 -1) into 1 5.886 * [backup-simplify]: Simplify (+ 0 1) into 1 5.886 * [backup-simplify]: Simplify (sqrt 1) into 1 5.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.888 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.889 * [backup-simplify]: Simplify (+ 0 0) into 0 5.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.890 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 5.890 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 5.890 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 5.890 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.890 * [taylor]: Taking taylor expansion of -1 in x 5.890 * [backup-simplify]: Simplify -1 into -1 5.890 * [taylor]: Taking taylor expansion of x in x 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 1 into 1 5.890 * [backup-simplify]: Simplify (/ -1 1) into -1 5.891 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.891 * [taylor]: Taking taylor expansion of -1 in x 5.891 * [backup-simplify]: Simplify -1 into -1 5.891 * [taylor]: Taking taylor expansion of x in x 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify 1 into 1 5.891 * [backup-simplify]: Simplify (/ -1 1) into -1 5.891 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 5.891 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.891 * [taylor]: Taking taylor expansion of -1 in x 5.891 * [backup-simplify]: Simplify -1 into -1 5.891 * [taylor]: Taking taylor expansion of y in x 5.891 * [backup-simplify]: Simplify y into y 5.891 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.891 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.891 * [taylor]: Taking taylor expansion of -1 in x 5.891 * [backup-simplify]: Simplify -1 into -1 5.891 * [taylor]: Taking taylor expansion of y in x 5.892 * [backup-simplify]: Simplify y into y 5.892 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.892 * [backup-simplify]: Simplify (* -1 -1) into 1 5.892 * [backup-simplify]: Simplify (+ 1 0) into 1 5.893 * [backup-simplify]: Simplify (sqrt 1) into 1 5.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.903 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.904 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.905 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 5.905 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 5.905 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 5.905 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.905 * [taylor]: Taking taylor expansion of -1 in x 5.905 * [backup-simplify]: Simplify -1 into -1 5.906 * [taylor]: Taking taylor expansion of x in x 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 1 into 1 5.906 * [backup-simplify]: Simplify (/ -1 1) into -1 5.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.906 * [taylor]: Taking taylor expansion of -1 in x 5.906 * [backup-simplify]: Simplify -1 into -1 5.906 * [taylor]: Taking taylor expansion of x in x 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 1 into 1 5.907 * [backup-simplify]: Simplify (/ -1 1) into -1 5.907 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 5.907 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.907 * [taylor]: Taking taylor expansion of -1 in x 5.907 * [backup-simplify]: Simplify -1 into -1 5.907 * [taylor]: Taking taylor expansion of y in x 5.907 * [backup-simplify]: Simplify y into y 5.907 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.907 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.907 * [taylor]: Taking taylor expansion of -1 in x 5.907 * [backup-simplify]: Simplify -1 into -1 5.907 * [taylor]: Taking taylor expansion of y in x 5.907 * [backup-simplify]: Simplify y into y 5.907 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.908 * [backup-simplify]: Simplify (* -1 -1) into 1 5.908 * [backup-simplify]: Simplify (+ 1 0) into 1 5.909 * [backup-simplify]: Simplify (sqrt 1) into 1 5.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.912 * [backup-simplify]: Simplify (+ 0 0) into 0 5.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.913 * [taylor]: Taking taylor expansion of 1 in y 5.913 * [backup-simplify]: Simplify 1 into 1 5.913 * [taylor]: Taking taylor expansion of 0 in y 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 1 into 1 5.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.916 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.916 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 5.917 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.918 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.918 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.918 * [taylor]: Taking taylor expansion of 1/2 in y 5.918 * [backup-simplify]: Simplify 1/2 into 1/2 5.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.918 * [taylor]: Taking taylor expansion of y in y 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify 1 into 1 5.919 * [backup-simplify]: Simplify (* 1 1) into 1 5.919 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.925 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.925 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 5.925 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 5.925 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 5.926 * [backup-simplify]: Simplify (+ 0 0) into 0 5.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.926 * [taylor]: Taking taylor expansion of 0 in y 5.926 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.929 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.929 * * * [progress]: simplifying candidates 5.930 * [simplify]: Simplifying: (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 5.930 * * [simplify]: Extracting # 0 : cost 0 5.930 * * [simplify]: Extracting # 1 : cost 0 5.930 * * [simplify]: Extracting # 2 : cost 0 5.930 * * [simplify]: Extracting # 3 : cost 0 5.930 * * [simplify]: iteration 0 : 17 enodes (cost 60 ) 5.936 * * [simplify]: Extracting # 0 : cost 0 5.936 * * [simplify]: Extracting # 1 : cost 0 5.936 * * [simplify]: iteration 1 : 22 enodes (cost 58 ) 5.942 * * [simplify]: Extracting # 0 : cost 0 5.943 * * [simplify]: Extracting # 1 : cost 0 5.943 * * [simplify]: Extracting # 2 : cost 0 5.943 * * [simplify]: iteration 2 : 25 enodes (cost 52 ) 5.951 * * [simplify]: Extracting # 0 : cost 0 5.951 * * [simplify]: Extracting # 1 : cost 0 5.951 * * [simplify]: Extracting # 2 : cost 0 5.951 * * [simplify]: Extracting # 3 : cost 0 5.951 * * [simplify]: Extracting # 4 : cost 0 5.951 * * [simplify]: iteration 3 : 30 enodes (cost 52 ) 5.961 * * [simplify]: Extracting # 0 : cost 0 5.961 * * [simplify]: Extracting # 1 : cost 0 5.961 * * [simplify]: Extracting # 2 : cost 0 5.961 * * [simplify]: Extracting # 3 : cost 0 5.961 * * [simplify]: Extracting # 4 : cost 0 5.961 * * [simplify]: iteration 4 : 36 enodes (cost 52 ) 5.972 * * [simplify]: Extracting # 0 : cost 0 5.973 * * [simplify]: Extracting # 1 : cost 0 5.973 * * [simplify]: Extracting # 2 : cost 0 5.973 * * [simplify]: Extracting # 3 : cost 0 5.973 * * [simplify]: Extracting # 4 : cost 0 5.973 * * [simplify]: iteration 5 : 46 enodes (cost 52 ) 5.989 * * [simplify]: Extracting # 0 : cost 0 5.990 * * [simplify]: Extracting # 1 : cost 0 5.990 * * [simplify]: Extracting # 2 : cost 0 5.990 * * [simplify]: Extracting # 3 : cost 0 5.990 * * [simplify]: iteration 6 : 67 enodes (cost 52 ) 6.018 * * [simplify]: Extracting # 0 : cost 0 6.019 * * [simplify]: Extracting # 1 : cost 0 6.019 * * [simplify]: Extracting # 2 : cost 0 6.019 * * [simplify]: Extracting # 3 : cost 0 6.019 * * [simplify]: iteration 7 : 146 enodes (cost 52 ) 6.096 * * [simplify]: Extracting # 0 : cost 0 6.096 * * [simplify]: Extracting # 1 : cost 0 6.097 * * [simplify]: Extracting # 2 : cost 0 6.098 * * [simplify]: Extracting # 3 : cost 0 6.098 * * [simplify]: Extracting # 4 : cost 0 6.099 * * [simplify]: iteration 8 : 431 enodes (cost 52 ) 7.136 * * [simplify]: Extracting # 0 : cost 0 7.137 * * [simplify]: Extracting # 1 : cost 0 7.138 * * [simplify]: Extracting # 2 : cost 0 7.139 * * [simplify]: Extracting # 3 : cost 0 7.141 * * [simplify]: Extracting # 4 : cost 0 7.142 * * [simplify]: iteration 9 : 1841 enodes (cost 52 ) 8.232 * * [simplify]: Extracting # 0 : cost 0 8.246 * * [simplify]: Extracting # 1 : cost 0 8.252 * * [simplify]: Extracting # 2 : cost 0 8.258 * * [simplify]: Extracting # 3 : cost 0 8.264 * * [simplify]: iteration done: 5001 enodes (cost 52 ) 8.265 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (- x) 8.265 * * * [progress]: adding candidates to table 8.335 * [progress]: [Phase 3 of 3] Extracting. 8.335 * * [regime]: Finding splitpoints for: (# #) 8.335 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) z y x) 8.335 * * * * [regimes]: Trying to branch on (* y y) from (# #) 8.350 * * * * [regimes]: Trying to branch on (* x x) from (# #) 8.365 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 8.398 * * * * [regimes]: Trying to branch on z from (# #) 8.413 * * * * [regimes]: Trying to branch on y from (# #) 8.435 * * * * [regimes]: Trying to branch on x from (# #) 8.469 * * * [regime]: Found split indices: #