67.078 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: Extracting # 1 : cost 0 0.022 * * [simplify]: Extracting # 2 : cost 0 0.022 * * [simplify]: Extracting # 3 : cost 0 0.022 * * [simplify]: Extracting # 4 : cost 0 0.022 * * [simplify]: Extracting # 5 : cost 0 0.022 * * [simplify]: Extracting # 6 : cost 0 0.022 * * [simplify]: iteration 0 : 9 enodes (cost 12 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: iteration 1 : 14 enodes (cost 11 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: Extracting # 1 : cost 0 0.027 * * [simplify]: Extracting # 2 : cost 0 0.027 * * [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 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: iteration done: 30 enodes (cost 10 ) 0.042 * [simplify]: Simplified to: (sqrt (fma z z (fma x x (* y y)))) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.163 * * * [progress]: generating series expansions 0.163 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.163 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.163 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.163 * [taylor]: Taking taylor expansion of x in z 0.163 * [backup-simplify]: Simplify x into x 0.163 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.163 * [taylor]: Taking taylor expansion of y in z 0.164 * [backup-simplify]: Simplify y into y 0.164 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.164 * [taylor]: Taking taylor expansion of z in z 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.164 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.164 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.164 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.164 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.165 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.165 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.167 * [taylor]: Taking taylor expansion of z in y 0.167 * [backup-simplify]: Simplify z into z 0.167 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.167 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.167 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.167 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.167 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.168 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.168 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [backup-simplify]: Simplify y into y 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.169 * [taylor]: Taking taylor expansion of z in x 0.169 * [backup-simplify]: Simplify z into z 0.170 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.170 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.170 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.170 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.170 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.170 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.171 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.172 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [backup-simplify]: Simplify y into y 0.172 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.172 * [taylor]: Taking taylor expansion of z in x 0.172 * [backup-simplify]: Simplify z into z 0.172 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.173 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.173 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.173 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.173 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.173 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.173 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.175 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.175 * [taylor]: Taking taylor expansion of z in y 0.175 * [backup-simplify]: Simplify z into z 0.175 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.175 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.176 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.176 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.176 * [taylor]: Taking taylor expansion of z in z 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.178 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.178 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [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))))) 0.180 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.180 * [taylor]: Taking taylor expansion of 1/2 in y 0.180 * [backup-simplify]: Simplify 1/2 into 1/2 0.180 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.181 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.181 * [taylor]: Taking taylor expansion of z in y 0.181 * [backup-simplify]: Simplify z into z 0.181 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.181 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.181 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.181 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.181 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.183 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.183 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.183 * [taylor]: Taking taylor expansion of 1/2 in z 0.183 * [backup-simplify]: Simplify 1/2 into 1/2 0.183 * [taylor]: Taking taylor expansion of z in z 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [taylor]: Taking taylor expansion of 0 in z 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.187 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.187 * [taylor]: Taking taylor expansion of 1/2 in z 0.187 * [backup-simplify]: Simplify 1/2 into 1/2 0.187 * [taylor]: Taking taylor expansion of z in z 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.190 * [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))))) 0.190 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.190 * [taylor]: Taking taylor expansion of x in z 0.190 * [backup-simplify]: Simplify x into x 0.190 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.190 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.190 * [taylor]: Taking taylor expansion of (pow z 2) in z 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 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.191 * [taylor]: Taking taylor expansion of y in z 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.191 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (+ 0 1) into 1 0.193 * [backup-simplify]: Simplify (sqrt 1) into 1 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [backup-simplify]: Simplify x into x 0.196 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.196 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.196 * [taylor]: Taking taylor expansion of z in y 0.196 * [backup-simplify]: Simplify z into z 0.197 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.197 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (+ 0 1) into 1 0.199 * [backup-simplify]: Simplify (+ 0 1) into 1 0.199 * [backup-simplify]: Simplify (sqrt 1) into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.204 * [taylor]: Taking taylor expansion of z in x 0.204 * [backup-simplify]: Simplify z into z 0.204 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.204 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [backup-simplify]: Simplify y into y 0.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.205 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.205 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (sqrt 1) into 1 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.209 * [taylor]: Taking taylor expansion of z in x 0.209 * [backup-simplify]: Simplify z into z 0.209 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.209 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [backup-simplify]: Simplify y into y 0.209 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.209 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [backup-simplify]: Simplify (sqrt 1) into 1 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [taylor]: Taking taylor expansion of 1 in z 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.214 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.215 * [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)))) 0.215 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.215 * [taylor]: Taking taylor expansion of 1/2 in y 0.215 * [backup-simplify]: Simplify 1/2 into 1/2 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.215 * [taylor]: Taking taylor expansion of z in y 0.215 * [backup-simplify]: Simplify z into z 0.215 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.215 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 1) into 1 0.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.220 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.223 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.223 * [taylor]: Taking taylor expansion of 1/2 in z 0.223 * [backup-simplify]: Simplify 1/2 into 1/2 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.223 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.223 * [taylor]: Taking taylor expansion of z in z 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [taylor]: Taking taylor expansion of 0 in z 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [taylor]: Taking taylor expansion of 0 in z 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.228 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [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)))))) 0.230 * [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 0.230 * [taylor]: Taking taylor expansion of -1/2 in y 0.230 * [backup-simplify]: Simplify -1/2 into -1/2 0.230 * [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 0.230 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.230 * [taylor]: Taking taylor expansion of 1/4 in y 0.230 * [backup-simplify]: Simplify 1/4 into 1/4 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.230 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.230 * [taylor]: Taking taylor expansion of z in y 0.230 * [backup-simplify]: Simplify z into z 0.230 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.230 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.230 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.230 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.230 * [taylor]: Taking taylor expansion of 1/2 in y 0.230 * [backup-simplify]: Simplify 1/2 into 1/2 0.230 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.230 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.230 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.230 * [taylor]: Taking taylor expansion of z in y 0.230 * [backup-simplify]: Simplify z into z 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.231 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.231 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.231 * [taylor]: Taking taylor expansion of 1/4 in y 0.231 * [backup-simplify]: Simplify 1/4 into 1/4 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.231 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.233 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.241 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.241 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.242 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.243 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.244 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.244 * [taylor]: Taking taylor expansion of 0 in z 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [taylor]: Taking taylor expansion of 0 in z 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.252 * [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))))) 0.252 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.252 * [taylor]: Taking taylor expansion of x in z 0.253 * [backup-simplify]: Simplify x into x 0.253 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.253 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.253 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.253 * [taylor]: Taking taylor expansion of z in z 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.254 * [taylor]: Taking taylor expansion of y in z 0.254 * [backup-simplify]: Simplify y into y 0.254 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.254 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.255 * [backup-simplify]: Simplify (+ 1 0) into 1 0.255 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (sqrt 1) into 1 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.259 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.259 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.259 * [taylor]: Taking taylor expansion of z in y 0.259 * [backup-simplify]: Simplify z into z 0.259 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.260 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [backup-simplify]: Simplify (+ 0 1) into 1 0.262 * [backup-simplify]: Simplify (+ 0 1) into 1 0.262 * [backup-simplify]: Simplify (sqrt 1) into 1 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.266 * [taylor]: Taking taylor expansion of z in x 0.266 * [backup-simplify]: Simplify z into z 0.266 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.266 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.266 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.267 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.273 * [backup-simplify]: Simplify (sqrt 1) into 1 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.277 * [taylor]: Taking taylor expansion of z in x 0.277 * [backup-simplify]: Simplify z into z 0.278 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.278 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [backup-simplify]: Simplify y into y 0.278 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.278 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.279 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [backup-simplify]: Simplify (sqrt 1) into 1 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.282 * [taylor]: Taking taylor expansion of 1 in y 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [taylor]: Taking taylor expansion of 1 in z 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.285 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.287 * [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)))) 0.287 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.287 * [taylor]: Taking taylor expansion of 1/2 in y 0.287 * [backup-simplify]: Simplify 1/2 into 1/2 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.287 * [taylor]: Taking taylor expansion of z in y 0.287 * [backup-simplify]: Simplify z into z 0.287 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.288 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 1) into 1 0.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.292 * [taylor]: Taking taylor expansion of 0 in z 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [taylor]: Taking taylor expansion of 0 in z 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [taylor]: Taking taylor expansion of 0 in z 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.296 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.301 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.301 * [taylor]: Taking taylor expansion of 1/2 in z 0.302 * [backup-simplify]: Simplify 1/2 into 1/2 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.302 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.302 * [taylor]: Taking taylor expansion of z in z 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [taylor]: Taking taylor expansion of 0 in z 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [taylor]: Taking taylor expansion of 0 in z 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.307 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [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)))))) 0.309 * [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 0.309 * [taylor]: Taking taylor expansion of -1/2 in y 0.309 * [backup-simplify]: Simplify -1/2 into -1/2 0.309 * [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 0.309 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.310 * [taylor]: Taking taylor expansion of 1/4 in y 0.310 * [backup-simplify]: Simplify 1/4 into 1/4 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.310 * [taylor]: Taking taylor expansion of (pow z 4) 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 (* (pow z 2) (pow z 2)) into (pow z 4) 0.310 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (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) (pow y 2))) in y 0.310 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 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 * [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 0.310 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.311 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.311 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.311 * [taylor]: Taking taylor expansion of 1/4 in y 0.311 * [backup-simplify]: Simplify 1/4 into 1/4 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.313 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.320 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.320 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.320 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.321 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.322 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.322 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.323 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in z 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [taylor]: Taking taylor expansion of 0 in z 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [taylor]: Taking taylor expansion of 0 in z 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [taylor]: Taking taylor expansion of 0 in z 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [taylor]: Taking taylor expansion of 0 in z 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.328 * * * [progress]: simplifying candidates 0.329 * [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)))) z x (* -1 x) 0.329 * * [simplify]: Extracting # 0 : cost 0 0.329 * * [simplify]: Extracting # 1 : cost 0 0.329 * * [simplify]: Extracting # 2 : cost 0 0.329 * * [simplify]: Extracting # 3 : cost 0 0.329 * * [simplify]: Extracting # 4 : cost 0 0.329 * * [simplify]: Extracting # 5 : cost 0 0.329 * * [simplify]: Extracting # 6 : cost 0 0.329 * * [simplify]: Extracting # 7 : cost 0 0.330 * * [simplify]: Extracting # 8 : cost 0 0.330 * * [simplify]: Extracting # 9 : cost 0 0.330 * * [simplify]: iteration 0 : 43 enodes (cost 331 ) 0.339 * * [simplify]: Extracting # 0 : cost 0 0.339 * * [simplify]: Extracting # 1 : cost 0 0.339 * * [simplify]: Extracting # 2 : cost 0 0.340 * * [simplify]: Extracting # 3 : cost 0 0.340 * * [simplify]: Extracting # 4 : cost 0 0.340 * * [simplify]: iteration 1 : 98 enodes (cost 272 ) 0.378 * * [simplify]: Extracting # 0 : cost 0 0.379 * * [simplify]: Extracting # 1 : cost 0 0.379 * * [simplify]: Extracting # 2 : cost 0 0.379 * * [simplify]: Extracting # 3 : cost 0 0.380 * * [simplify]: Extracting # 4 : cost 0 0.380 * * [simplify]: iteration 2 : 300 enodes (cost 243 ) 0.539 * * [simplify]: Extracting # 0 : cost 0 0.541 * * [simplify]: Extracting # 1 : cost 0 0.543 * * [simplify]: Extracting # 2 : cost 0 0.545 * * [simplify]: Extracting # 3 : cost 0 0.547 * * [simplify]: Extracting # 4 : cost 0 0.549 * * [simplify]: iteration 3 : 1040 enodes (cost 235 ) 1.950 * * [simplify]: Extracting # 0 : cost 0 1.955 * * [simplify]: Extracting # 1 : cost 0 1.962 * * [simplify]: Extracting # 2 : cost 0 1.966 * * [simplify]: Extracting # 3 : cost 0 1.970 * * [simplify]: Extracting # 4 : cost 0 1.975 * * [simplify]: iteration 4 : 4140 enodes (cost 234 ) 3.454 * * [simplify]: Extracting # 0 : cost 0 3.460 * * [simplify]: Extracting # 1 : cost 0 3.469 * * [simplify]: Extracting # 2 : cost 0 3.480 * * [simplify]: iteration done: 5000 enodes (cost 234 ) 3.480 * [simplify]: Simplified to: (expm1 (sqrt (fma x x (fma y y (* z z))))) (log1p (sqrt (fma x x (fma y y (* z z))))) (log (sqrt (fma x x (fma y y (* z z))))) (exp (sqrt (fma x x (fma y y (* z z))))) (* (cbrt (sqrt (fma x x (fma y y (* z z))))) (cbrt (sqrt (fma x x (fma y y (* z z)))))) (cbrt (sqrt (fma x x (fma y y (* z z))))) (pow (sqrt (fma x x (fma y y (* z z)))) 3) (fabs (cbrt (fma x x (fma y y (* z z))))) (sqrt (cbrt (fma x x (fma y y (* z z))))) (sqrt (sqrt (fma x x (fma y y (* z z))))) (sqrt (sqrt (fma x x (fma y y (* z z))))) 1 (sqrt (fma x x (fma y y (* z z)))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (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 x x (fma y y (* z z))))) (sqrt (sqrt (fma x x (fma y y (* z z))))) z x (- x) 3.480 * * * [progress]: adding candidates to table 3.568 * * [progress]: iteration 2 / 4 3.568 * * * [progress]: picking best candidate 3.577 * * * * [pick]: Picked # 3.577 * * * [progress]: localizing error 3.586 * * * [progress]: generating rewritten candidates 3.586 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 3.596 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.597 * * * [progress]: generating series expansions 3.597 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 3.597 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 3.597 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.597 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.597 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.597 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.597 * [taylor]: Taking taylor expansion of x in y 3.597 * [backup-simplify]: Simplify x into x 3.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.597 * [taylor]: Taking taylor expansion of y in y 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.597 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.597 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.598 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.598 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.598 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.598 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.598 * [taylor]: Taking taylor expansion of x in x 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.598 * [taylor]: Taking taylor expansion of y in x 3.599 * [backup-simplify]: Simplify y into y 3.599 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.599 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.599 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.599 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.599 * [backup-simplify]: Simplify (+ 0 0) into 0 3.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.599 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.599 * [taylor]: Taking taylor expansion of x in x 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.600 * [taylor]: Taking taylor expansion of y in x 3.600 * [backup-simplify]: Simplify y into y 3.600 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.600 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.600 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.600 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.600 * [taylor]: Taking taylor expansion of y in y 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [taylor]: Taking taylor expansion of 0 in y 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (* 1 1) into 1 3.602 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.602 * [backup-simplify]: Simplify (+ 1 0) into 1 3.603 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.603 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.603 * [taylor]: Taking taylor expansion of 1/2 in y 3.603 * [backup-simplify]: Simplify 1/2 into 1/2 3.603 * [taylor]: Taking taylor expansion of y in y 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.607 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.607 * [backup-simplify]: Simplify (+ 0 0) into 0 3.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.607 * [taylor]: Taking taylor expansion of 0 in y 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.609 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.609 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.609 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.609 * [taylor]: Taking taylor expansion of x in y 3.609 * [backup-simplify]: Simplify x into x 3.610 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.610 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.610 * [taylor]: Taking taylor expansion of y in y 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.611 * [backup-simplify]: Simplify (* 1 1) into 1 3.611 * [backup-simplify]: Simplify (/ 1 1) into 1 3.612 * [backup-simplify]: Simplify (+ 0 1) into 1 3.612 * [backup-simplify]: Simplify (sqrt 1) into 1 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ 0 0) into 0 3.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.614 * [taylor]: Taking taylor expansion of x in x 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.615 * [backup-simplify]: Simplify (* 1 1) into 1 3.615 * [backup-simplify]: Simplify (/ 1 1) into 1 3.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.615 * [taylor]: Taking taylor expansion of y in x 3.615 * [backup-simplify]: Simplify y into y 3.615 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.615 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.616 * [backup-simplify]: Simplify (+ 1 0) into 1 3.616 * [backup-simplify]: Simplify (sqrt 1) into 1 3.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (+ 0 0) into 0 3.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.618 * [taylor]: Taking taylor expansion of x in x 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (* 1 1) into 1 3.618 * [backup-simplify]: Simplify (/ 1 1) into 1 3.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.618 * [taylor]: Taking taylor expansion of y in x 3.618 * [backup-simplify]: Simplify y into y 3.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.619 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.619 * [backup-simplify]: Simplify (+ 1 0) into 1 3.619 * [backup-simplify]: Simplify (sqrt 1) into 1 3.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ 0 0) into 0 3.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.621 * [taylor]: Taking taylor expansion of 1 in y 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [taylor]: Taking taylor expansion of 0 in y 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.623 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.623 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.623 * [taylor]: Taking taylor expansion of 1/2 in y 3.623 * [backup-simplify]: Simplify 1/2 into 1/2 3.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.623 * [taylor]: Taking taylor expansion of y in y 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.624 * [backup-simplify]: Simplify (* 1 1) into 1 3.624 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.629 * [backup-simplify]: Simplify (+ 0 0) into 0 3.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.630 * [taylor]: Taking taylor expansion of 0 in y 3.630 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.634 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.634 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.634 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.634 * [taylor]: Taking taylor expansion of x in y 3.634 * [backup-simplify]: Simplify x into x 3.634 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.635 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.635 * [taylor]: Taking taylor expansion of y in y 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.636 * [backup-simplify]: Simplify (* 1 1) into 1 3.636 * [backup-simplify]: Simplify (/ 1 1) into 1 3.637 * [backup-simplify]: Simplify (+ 0 1) into 1 3.637 * [backup-simplify]: Simplify (sqrt 1) into 1 3.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (+ 0 0) into 0 3.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.641 * [taylor]: Taking taylor expansion of x in x 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (* 1 1) into 1 3.642 * [backup-simplify]: Simplify (/ 1 1) into 1 3.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.642 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.642 * [taylor]: Taking taylor expansion of y in x 3.642 * [backup-simplify]: Simplify y into y 3.642 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.642 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.643 * [backup-simplify]: Simplify (+ 1 0) into 1 3.643 * [backup-simplify]: Simplify (sqrt 1) into 1 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (+ 0 0) into 0 3.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.646 * [taylor]: Taking taylor expansion of x in x 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 1 into 1 3.647 * [backup-simplify]: Simplify (* 1 1) into 1 3.647 * [backup-simplify]: Simplify (/ 1 1) into 1 3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.647 * [taylor]: Taking taylor expansion of y in x 3.647 * [backup-simplify]: Simplify y into y 3.647 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.648 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.648 * [backup-simplify]: Simplify (+ 1 0) into 1 3.649 * [backup-simplify]: Simplify (sqrt 1) into 1 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.651 * [taylor]: Taking taylor expansion of 1 in y 3.651 * [backup-simplify]: Simplify 1 into 1 3.652 * [taylor]: Taking taylor expansion of 0 in y 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.654 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.656 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.656 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.656 * [taylor]: Taking taylor expansion of 1/2 in y 3.656 * [backup-simplify]: Simplify 1/2 into 1/2 3.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.656 * [taylor]: Taking taylor expansion of y in y 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (* 1 1) into 1 3.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.663 * [taylor]: Taking taylor expansion of 0 in y 3.663 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.666 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.666 * [backup-simplify]: Simplify (hypot (sqrt (+ (* x x) (* y y))) z) into (hypot (sqrt (+ (pow x 2) (pow y 2))) z) 3.666 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 3.666 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 3.666 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 3.666 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 3.667 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 3.667 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 3.667 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 3.667 * [taylor]: Taking taylor expansion of (pow x 2) in z 3.667 * [taylor]: Taking taylor expansion of x in z 3.667 * [backup-simplify]: Simplify x into x 3.667 * [taylor]: Taking taylor expansion of (pow y 2) in z 3.667 * [taylor]: Taking taylor expansion of y in z 3.667 * [backup-simplify]: Simplify y into y 3.667 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.667 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.667 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 3.667 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 3.668 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.668 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.668 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 3.669 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 3.669 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 3.669 * [taylor]: Taking taylor expansion of (pow x 2) in z 3.669 * [taylor]: Taking taylor expansion of x in z 3.669 * [backup-simplify]: Simplify x into x 3.669 * [taylor]: Taking taylor expansion of (pow y 2) in z 3.669 * [taylor]: Taking taylor expansion of y in z 3.669 * [backup-simplify]: Simplify y into y 3.669 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.669 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 3.670 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 3.670 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.670 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.671 * [backup-simplify]: Simplify (+ 0 0) into 0 3.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 3.671 * [taylor]: Taking taylor expansion of (* z z) in z 3.671 * [taylor]: Taking taylor expansion of z in z 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [taylor]: Taking taylor expansion of z in z 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2)) 3.672 * [backup-simplify]: Simplify (* 0 0) into 0 3.673 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2)) 3.673 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 3.673 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0 3.674 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 3.675 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 3.676 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 3.676 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 3.676 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 3.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.676 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.676 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.676 * [taylor]: Taking taylor expansion of x in y 3.676 * [backup-simplify]: Simplify x into x 3.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.676 * [taylor]: Taking taylor expansion of y in y 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.676 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.676 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.676 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.677 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.677 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.677 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.677 * [taylor]: Taking taylor expansion of x in y 3.678 * [backup-simplify]: Simplify x into x 3.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.678 * [taylor]: Taking taylor expansion of y in y 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.678 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.678 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.678 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.679 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.679 * [taylor]: Taking taylor expansion of (* z z) in y 3.679 * [taylor]: Taking taylor expansion of z in y 3.679 * [backup-simplify]: Simplify z into z 3.679 * [taylor]: Taking taylor expansion of z in y 3.679 * [backup-simplify]: Simplify z into z 3.679 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.679 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.679 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 3.680 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 3.680 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.680 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 3.681 * [backup-simplify]: Simplify (+ 0 0) into 0 3.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 3.681 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 3.681 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 3.681 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 3.681 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 3.681 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.681 * [taylor]: Taking taylor expansion of x in x 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.681 * [taylor]: Taking taylor expansion of y in x 3.681 * [backup-simplify]: Simplify y into y 3.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.682 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.682 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.682 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.683 * [backup-simplify]: Simplify (+ 0 0) into 0 3.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.683 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.683 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.683 * [taylor]: Taking taylor expansion of x in x 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.683 * [taylor]: Taking taylor expansion of y in x 3.683 * [backup-simplify]: Simplify y into y 3.683 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.683 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.683 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.684 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.684 * [backup-simplify]: Simplify (+ 0 0) into 0 3.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.684 * [taylor]: Taking taylor expansion of (* z z) in x 3.684 * [taylor]: Taking taylor expansion of z in x 3.684 * [backup-simplify]: Simplify z into z 3.684 * [taylor]: Taking taylor expansion of z in x 3.685 * [backup-simplify]: Simplify z into z 3.685 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.685 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.685 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 3.685 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 3.685 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.685 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 3.686 * [backup-simplify]: Simplify (+ 0 0) into 0 3.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 3.686 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 3.687 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 3.687 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 3.687 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 3.687 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.687 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.687 * [taylor]: Taking taylor expansion of x in x 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.687 * [taylor]: Taking taylor expansion of y in x 3.687 * [backup-simplify]: Simplify y into y 3.687 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.687 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.687 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.687 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.688 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.688 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.688 * [taylor]: Taking taylor expansion of x in x 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify 1 into 1 3.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.688 * [taylor]: Taking taylor expansion of y in x 3.688 * [backup-simplify]: Simplify y into y 3.689 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.689 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.689 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.689 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.690 * [taylor]: Taking taylor expansion of (* z z) in x 3.690 * [taylor]: Taking taylor expansion of z in x 3.690 * [backup-simplify]: Simplify z into z 3.690 * [taylor]: Taking taylor expansion of z in x 3.690 * [backup-simplify]: Simplify z into z 3.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.690 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.690 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 3.691 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 3.691 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.691 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 3.691 * [backup-simplify]: Simplify (+ 0 0) into 0 3.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 3.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 3.692 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 3.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.692 * [taylor]: Taking taylor expansion of y in y 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.692 * [taylor]: Taking taylor expansion of z in y 3.692 * [backup-simplify]: Simplify z into z 3.692 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.692 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 3.693 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 3.693 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 3.693 * [backup-simplify]: Simplify (+ 0 0) into 0 3.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 3.693 * [taylor]: Taking taylor expansion of z in z 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [taylor]: Taking taylor expansion of 0 in y 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [taylor]: Taking taylor expansion of 0 in z 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [taylor]: Taking taylor expansion of 0 in z 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (* 1 1) into 1 3.695 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.695 * [backup-simplify]: Simplify (+ 1 0) into 1 3.696 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.697 * [backup-simplify]: Simplify (* 1 1) into 1 3.697 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.697 * [backup-simplify]: Simplify (+ 1 0) into 1 3.698 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.699 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 3.699 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 3.699 * [backup-simplify]: Simplify (+ 1 0) into 1 3.700 * [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))))) 3.700 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 3.700 * [taylor]: Taking taylor expansion of 1/2 in y 3.700 * [backup-simplify]: Simplify 1/2 into 1/2 3.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 3.700 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 3.700 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 3.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.700 * [taylor]: Taking taylor expansion of y in y 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.700 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.700 * [taylor]: Taking taylor expansion of z in y 3.700 * [backup-simplify]: Simplify z into z 3.700 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.700 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 3.701 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 3.701 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 3.701 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 3.701 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 3.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 3.702 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 3.702 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 3.702 * [taylor]: Taking taylor expansion of 1/2 in z 3.702 * [backup-simplify]: Simplify 1/2 into 1/2 3.702 * [taylor]: Taking taylor expansion of z in z 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [taylor]: Taking taylor expansion of 0 in z 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.705 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 3.705 * [backup-simplify]: Simplify (+ 1 0) into 1 3.706 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 3.706 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 3.706 * [taylor]: Taking taylor expansion of 1/2 in z 3.706 * [backup-simplify]: Simplify 1/2 into 1/2 3.706 * [taylor]: Taking taylor expansion of z in z 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 3.709 * [backup-simplify]: Simplify (hypot (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ 1 z)) into (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) 3.709 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 3.709 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 3.709 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 3.709 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 3.709 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 3.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 3.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 3.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 3.709 * [taylor]: Taking taylor expansion of (pow x 2) in z 3.709 * [taylor]: Taking taylor expansion of x in z 3.709 * [backup-simplify]: Simplify x into x 3.709 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.710 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 3.710 * [taylor]: Taking taylor expansion of (pow y 2) in z 3.710 * [taylor]: Taking taylor expansion of y in z 3.710 * [backup-simplify]: Simplify y into y 3.710 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.710 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.710 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.711 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.711 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.711 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 3.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 3.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 3.713 * [taylor]: Taking taylor expansion of (pow x 2) in z 3.713 * [taylor]: Taking taylor expansion of x in z 3.713 * [backup-simplify]: Simplify x into x 3.713 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.713 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 3.713 * [taylor]: Taking taylor expansion of (pow y 2) in z 3.713 * [taylor]: Taking taylor expansion of y in z 3.713 * [backup-simplify]: Simplify y into y 3.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.714 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.714 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.714 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.714 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.715 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 3.717 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 3.717 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.717 * [taylor]: Taking taylor expansion of z in z 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.717 * [backup-simplify]: Simplify (/ 1 1) into 1 3.717 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.717 * [taylor]: Taking taylor expansion of z in z 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (/ 1 1) into 1 3.718 * [backup-simplify]: Simplify (* 1 1) into 1 3.719 * [backup-simplify]: Simplify (+ 0 1) into 1 3.719 * [backup-simplify]: Simplify (sqrt 1) into 1 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.722 * [backup-simplify]: Simplify (+ 0 0) into 0 3.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.731 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 3.732 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 3.732 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y 3.732 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.732 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.732 * [taylor]: Taking taylor expansion of x in y 3.732 * [backup-simplify]: Simplify x into x 3.732 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.732 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.733 * [taylor]: Taking taylor expansion of y in y 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.733 * [backup-simplify]: Simplify (* 1 1) into 1 3.734 * [backup-simplify]: Simplify (/ 1 1) into 1 3.734 * [backup-simplify]: Simplify (+ 0 1) into 1 3.735 * [backup-simplify]: Simplify (sqrt 1) into 1 3.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (+ 0 0) into 0 3.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.738 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.738 * [taylor]: Taking taylor expansion of x in y 3.738 * [backup-simplify]: Simplify x into x 3.738 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.739 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.739 * [taylor]: Taking taylor expansion of y in y 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (* 1 1) into 1 3.740 * [backup-simplify]: Simplify (/ 1 1) into 1 3.740 * [backup-simplify]: Simplify (+ 0 1) into 1 3.741 * [backup-simplify]: Simplify (sqrt 1) into 1 3.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.744 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 3.744 * [taylor]: Taking taylor expansion of (/ 1 z) in y 3.744 * [taylor]: Taking taylor expansion of z in y 3.744 * [backup-simplify]: Simplify z into z 3.744 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 3.744 * [taylor]: Taking taylor expansion of (/ 1 z) in y 3.744 * [taylor]: Taking taylor expansion of z in y 3.744 * [backup-simplify]: Simplify z into z 3.744 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 3.745 * [backup-simplify]: Simplify (* 1 1) into 1 3.745 * [backup-simplify]: Simplify (+ 1 0) into 1 3.746 * [backup-simplify]: Simplify (sqrt 1) into 1 3.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.747 * [backup-simplify]: Simplify (+ 0 0) into 0 3.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.748 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 3.748 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 3.748 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 3.748 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.748 * [taylor]: Taking taylor expansion of x in x 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 1 into 1 3.749 * [backup-simplify]: Simplify (* 1 1) into 1 3.749 * [backup-simplify]: Simplify (/ 1 1) into 1 3.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.749 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.749 * [taylor]: Taking taylor expansion of y in x 3.749 * [backup-simplify]: Simplify y into y 3.750 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.750 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.750 * [backup-simplify]: Simplify (+ 1 0) into 1 3.751 * [backup-simplify]: Simplify (sqrt 1) into 1 3.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.754 * [taylor]: Taking taylor expansion of x in x 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (* 1 1) into 1 3.755 * [backup-simplify]: Simplify (/ 1 1) into 1 3.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.755 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.755 * [taylor]: Taking taylor expansion of y in x 3.755 * [backup-simplify]: Simplify y into y 3.755 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.755 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.756 * [backup-simplify]: Simplify (+ 1 0) into 1 3.756 * [backup-simplify]: Simplify (sqrt 1) into 1 3.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.758 * [backup-simplify]: Simplify (+ 0 0) into 0 3.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.759 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 3.759 * [taylor]: Taking taylor expansion of (/ 1 z) in x 3.759 * [taylor]: Taking taylor expansion of z in x 3.759 * [backup-simplify]: Simplify z into z 3.759 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 3.759 * [taylor]: Taking taylor expansion of (/ 1 z) in x 3.759 * [taylor]: Taking taylor expansion of z in x 3.759 * [backup-simplify]: Simplify z into z 3.760 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 3.760 * [backup-simplify]: Simplify (* 1 1) into 1 3.760 * [backup-simplify]: Simplify (+ 1 0) into 1 3.761 * [backup-simplify]: Simplify (sqrt 1) into 1 3.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.762 * [backup-simplify]: Simplify (+ 0 0) into 0 3.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.763 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 3.763 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 3.763 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 3.763 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.763 * [taylor]: Taking taylor expansion of x in x 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (* 1 1) into 1 3.764 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.764 * [taylor]: Taking taylor expansion of y in x 3.764 * [backup-simplify]: Simplify y into y 3.765 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.765 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.766 * [backup-simplify]: Simplify (+ 1 0) into 1 3.766 * [backup-simplify]: Simplify (sqrt 1) into 1 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.768 * [backup-simplify]: Simplify (+ 0 0) into 0 3.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.769 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.769 * [taylor]: Taking taylor expansion of x in x 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (* 1 1) into 1 3.770 * [backup-simplify]: Simplify (/ 1 1) into 1 3.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.770 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.770 * [taylor]: Taking taylor expansion of y in x 3.770 * [backup-simplify]: Simplify y into y 3.770 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.771 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.771 * [backup-simplify]: Simplify (+ 1 0) into 1 3.772 * [backup-simplify]: Simplify (sqrt 1) into 1 3.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (+ 0 0) into 0 3.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.774 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 3.774 * [taylor]: Taking taylor expansion of (/ 1 z) in x 3.774 * [taylor]: Taking taylor expansion of z in x 3.774 * [backup-simplify]: Simplify z into z 3.774 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 3.775 * [taylor]: Taking taylor expansion of (/ 1 z) in x 3.775 * [taylor]: Taking taylor expansion of z in x 3.775 * [backup-simplify]: Simplify z into z 3.775 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 3.775 * [backup-simplify]: Simplify (* 1 1) into 1 3.776 * [backup-simplify]: Simplify (+ 1 0) into 1 3.776 * [backup-simplify]: Simplify (sqrt 1) into 1 3.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.777 * [backup-simplify]: Simplify (+ 0 0) into 0 3.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.778 * [taylor]: Taking taylor expansion of 1 in y 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [taylor]: Taking taylor expansion of 0 in y 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [taylor]: Taking taylor expansion of 1 in z 3.778 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.782 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.785 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.786 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 3.786 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2)) 3.786 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 3.787 * [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)))) 3.787 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 3.788 * [taylor]: Taking taylor expansion of 1/2 in y 3.788 * [backup-simplify]: Simplify 1/2 into 1/2 3.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 3.788 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 3.788 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.788 * [taylor]: Taking taylor expansion of z in y 3.788 * [backup-simplify]: Simplify z into z 3.788 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.788 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 3.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.788 * [taylor]: Taking taylor expansion of y in y 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.788 * [backup-simplify]: Simplify (* 1 1) into 1 3.789 * [backup-simplify]: Simplify (/ 1 1) into 1 3.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.790 * [backup-simplify]: Simplify (+ 0 0) into 0 3.790 * [backup-simplify]: Simplify (+ 0 1) into 1 3.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.791 * [taylor]: Taking taylor expansion of 0 in z 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [taylor]: Taking taylor expansion of 0 in z 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [taylor]: Taking taylor expansion of 0 in z 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.793 * [backup-simplify]: Simplify (+ 0 0) into 0 3.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 3.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 3.797 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0 3.797 * [backup-simplify]: Simplify (+ 0 0) into 0 3.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 3.798 * [taylor]: Taking taylor expansion of 0 in y 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 3.799 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 3.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 3.800 * [taylor]: Taking taylor expansion of 1/2 in z 3.800 * [backup-simplify]: Simplify 1/2 into 1/2 3.800 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 3.800 * [taylor]: Taking taylor expansion of (pow z 2) in z 3.800 * [taylor]: Taking taylor expansion of z in z 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (* 1 1) into 1 3.800 * [backup-simplify]: Simplify (/ 1 1) into 1 3.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [taylor]: Taking taylor expansion of 0 in z 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [taylor]: Taking taylor expansion of 0 in z 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.804 * [backup-simplify]: Simplify (+ 0 0) into 0 3.805 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 3.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.807 * [backup-simplify]: Simplify (+ 0 0) into 0 3.808 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 3.809 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 3.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 3.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 3.810 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 3.810 * [backup-simplify]: Simplify (+ 0 0) into 0 3.811 * [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)))))) 3.811 * [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 3.811 * [taylor]: Taking taylor expansion of -1/2 in y 3.811 * [backup-simplify]: Simplify -1/2 into -1/2 3.811 * [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 3.811 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 3.811 * [taylor]: Taking taylor expansion of 1/4 in y 3.811 * [backup-simplify]: Simplify 1/4 into 1/4 3.811 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 3.811 * [taylor]: Taking taylor expansion of (pow z 4) in y 3.812 * [taylor]: Taking taylor expansion of z in y 3.812 * [backup-simplify]: Simplify z into z 3.812 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.812 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 3.812 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 3.812 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 3.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 3.812 * [taylor]: Taking taylor expansion of 1/2 in y 3.812 * [backup-simplify]: Simplify 1/2 into 1/2 3.812 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 3.812 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 3.812 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.812 * [taylor]: Taking taylor expansion of z in y 3.812 * [backup-simplify]: Simplify z into z 3.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.812 * [taylor]: Taking taylor expansion of y in y 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.812 * [backup-simplify]: Simplify (* 1 1) into 1 3.813 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 3.813 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 3.813 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 3.813 * [taylor]: Taking taylor expansion of 1/4 in y 3.813 * [backup-simplify]: Simplify 1/4 into 1/4 3.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.813 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.813 * [taylor]: Taking taylor expansion of y in y 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify (* 1 1) into 1 3.813 * [backup-simplify]: Simplify (* 1 1) into 1 3.814 * [backup-simplify]: Simplify (/ 1 1) into 1 3.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.814 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 3.814 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 3.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 3.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 3.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.821 * [backup-simplify]: Simplify (+ 0 0) into 0 3.821 * [backup-simplify]: Simplify (+ 0 0) into 0 3.821 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 3.822 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 3.822 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 3.822 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 3.823 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 3.823 * [backup-simplify]: Simplify (+ 0 0) into 0 3.823 * [backup-simplify]: Simplify (+ 0 0) into 0 3.823 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 3.824 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.824 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.825 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 3.825 * [taylor]: Taking taylor expansion of 0 in z 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [taylor]: Taking taylor expansion of 0 in z 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 3.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (+ 0 0) into 0 3.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 3.828 * [taylor]: Taking taylor expansion of 0 in z 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [taylor]: Taking taylor expansion of 0 in z 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [taylor]: Taking taylor expansion of 0 in z 3.828 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 3.830 * [backup-simplify]: Simplify (hypot (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ 1 (- z))) into (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) 3.830 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 3.830 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 3.830 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 3.830 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z 3.830 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 3.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 3.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 3.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 3.830 * [taylor]: Taking taylor expansion of (pow x 2) in z 3.830 * [taylor]: Taking taylor expansion of x in z 3.831 * [backup-simplify]: Simplify x into x 3.831 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.831 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 3.831 * [taylor]: Taking taylor expansion of (pow y 2) in z 3.831 * [taylor]: Taking taylor expansion of y in z 3.831 * [backup-simplify]: Simplify y into y 3.831 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.831 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.831 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.831 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.831 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.832 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.832 * [backup-simplify]: Simplify (+ 0 0) into 0 3.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 3.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 3.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 3.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 3.833 * [taylor]: Taking taylor expansion of (pow x 2) in z 3.833 * [taylor]: Taking taylor expansion of x in z 3.833 * [backup-simplify]: Simplify x into x 3.833 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.833 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 3.833 * [taylor]: Taking taylor expansion of (pow y 2) in z 3.833 * [taylor]: Taking taylor expansion of y in z 3.833 * [backup-simplify]: Simplify y into y 3.833 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.833 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.834 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.834 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.834 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.835 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.836 * [backup-simplify]: Simplify (+ 0 0) into 0 3.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 3.836 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 3.836 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.836 * [taylor]: Taking taylor expansion of -1 in z 3.836 * [backup-simplify]: Simplify -1 into -1 3.836 * [taylor]: Taking taylor expansion of z in z 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 1 into 1 3.837 * [backup-simplify]: Simplify (/ -1 1) into -1 3.837 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.837 * [taylor]: Taking taylor expansion of -1 in z 3.837 * [backup-simplify]: Simplify -1 into -1 3.837 * [taylor]: Taking taylor expansion of z in z 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 1 into 1 3.838 * [backup-simplify]: Simplify (/ -1 1) into -1 3.838 * [backup-simplify]: Simplify (* -1 -1) into 1 3.838 * [backup-simplify]: Simplify (+ 0 1) into 1 3.839 * [backup-simplify]: Simplify (sqrt 1) into 1 3.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.842 * [backup-simplify]: Simplify (+ 0 0) into 0 3.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.843 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 3.843 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 3.843 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y 3.843 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.843 * [taylor]: Taking taylor expansion of x in y 3.843 * [backup-simplify]: Simplify x into x 3.844 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.844 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.844 * [taylor]: Taking taylor expansion of y in y 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (* 1 1) into 1 3.845 * [backup-simplify]: Simplify (/ 1 1) into 1 3.845 * [backup-simplify]: Simplify (+ 0 1) into 1 3.846 * [backup-simplify]: Simplify (sqrt 1) into 1 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (+ 0 0) into 0 3.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.849 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.849 * [taylor]: Taking taylor expansion of x in y 3.849 * [backup-simplify]: Simplify x into x 3.849 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.849 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.849 * [taylor]: Taking taylor expansion of y in y 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (* 1 1) into 1 3.850 * [backup-simplify]: Simplify (/ 1 1) into 1 3.851 * [backup-simplify]: Simplify (+ 0 1) into 1 3.851 * [backup-simplify]: Simplify (sqrt 1) into 1 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (+ 0 0) into 0 3.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.854 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 3.855 * [taylor]: Taking taylor expansion of (/ -1 z) in y 3.855 * [taylor]: Taking taylor expansion of -1 in y 3.855 * [backup-simplify]: Simplify -1 into -1 3.855 * [taylor]: Taking taylor expansion of z in y 3.855 * [backup-simplify]: Simplify z into z 3.855 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 3.855 * [taylor]: Taking taylor expansion of (/ -1 z) in y 3.855 * [taylor]: Taking taylor expansion of -1 in y 3.855 * [backup-simplify]: Simplify -1 into -1 3.855 * [taylor]: Taking taylor expansion of z in y 3.855 * [backup-simplify]: Simplify z into z 3.855 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 3.856 * [backup-simplify]: Simplify (* 1 1) into 1 3.856 * [backup-simplify]: Simplify (+ 1 0) into 1 3.856 * [backup-simplify]: Simplify (sqrt 1) into 1 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.859 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 3.859 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 3.859 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 3.859 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.859 * [taylor]: Taking taylor expansion of x in x 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (* 1 1) into 1 3.860 * [backup-simplify]: Simplify (/ 1 1) into 1 3.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.860 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.860 * [taylor]: Taking taylor expansion of y in x 3.860 * [backup-simplify]: Simplify y into y 3.860 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.861 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.861 * [backup-simplify]: Simplify (+ 1 0) into 1 3.861 * [backup-simplify]: Simplify (sqrt 1) into 1 3.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (+ 0 0) into 0 3.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.864 * [taylor]: Taking taylor expansion of x in x 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.865 * [backup-simplify]: Simplify (* 1 1) into 1 3.865 * [backup-simplify]: Simplify (/ 1 1) into 1 3.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.865 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.865 * [taylor]: Taking taylor expansion of y in x 3.865 * [backup-simplify]: Simplify y into y 3.865 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.865 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.866 * [backup-simplify]: Simplify (+ 1 0) into 1 3.866 * [backup-simplify]: Simplify (sqrt 1) into 1 3.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (+ 0 0) into 0 3.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.867 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 3.868 * [taylor]: Taking taylor expansion of (/ -1 z) in x 3.868 * [taylor]: Taking taylor expansion of -1 in x 3.868 * [backup-simplify]: Simplify -1 into -1 3.868 * [taylor]: Taking taylor expansion of z in x 3.868 * [backup-simplify]: Simplify z into z 3.868 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 3.868 * [taylor]: Taking taylor expansion of (/ -1 z) in x 3.868 * [taylor]: Taking taylor expansion of -1 in x 3.868 * [backup-simplify]: Simplify -1 into -1 3.868 * [taylor]: Taking taylor expansion of z in x 3.868 * [backup-simplify]: Simplify z into z 3.868 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 3.868 * [backup-simplify]: Simplify (* 1 1) into 1 3.868 * [backup-simplify]: Simplify (+ 1 0) into 1 3.869 * [backup-simplify]: Simplify (sqrt 1) into 1 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.873 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 3.874 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 3.874 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 3.874 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.874 * [taylor]: Taking taylor expansion of x in x 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (* 1 1) into 1 3.875 * [backup-simplify]: Simplify (/ 1 1) into 1 3.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.875 * [taylor]: Taking taylor expansion of y in x 3.875 * [backup-simplify]: Simplify y into y 3.875 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.875 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.875 * [backup-simplify]: Simplify (+ 1 0) into 1 3.876 * [backup-simplify]: Simplify (sqrt 1) into 1 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (+ 0 0) into 0 3.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.878 * [taylor]: Taking taylor expansion of x in x 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (* 1 1) into 1 3.878 * [backup-simplify]: Simplify (/ 1 1) into 1 3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.878 * [taylor]: Taking taylor expansion of y in x 3.878 * [backup-simplify]: Simplify y into y 3.878 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.879 * [backup-simplify]: Simplify (+ 1 0) into 1 3.879 * [backup-simplify]: Simplify (sqrt 1) into 1 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.881 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 3.881 * [taylor]: Taking taylor expansion of (/ -1 z) in x 3.881 * [taylor]: Taking taylor expansion of -1 in x 3.881 * [backup-simplify]: Simplify -1 into -1 3.881 * [taylor]: Taking taylor expansion of z in x 3.881 * [backup-simplify]: Simplify z into z 3.881 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 3.881 * [taylor]: Taking taylor expansion of (/ -1 z) in x 3.881 * [taylor]: Taking taylor expansion of -1 in x 3.881 * [backup-simplify]: Simplify -1 into -1 3.881 * [taylor]: Taking taylor expansion of z in x 3.881 * [backup-simplify]: Simplify z into z 3.881 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 3.881 * [backup-simplify]: Simplify (* 1 1) into 1 3.882 * [backup-simplify]: Simplify (+ 1 0) into 1 3.882 * [backup-simplify]: Simplify (sqrt 1) into 1 3.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.883 * [taylor]: Taking taylor expansion of 1 in y 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [taylor]: Taking taylor expansion of 0 in y 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [taylor]: Taking taylor expansion of 1 in z 3.883 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.885 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.888 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.888 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 3.888 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2)) 3.889 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 3.890 * [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)))) 3.890 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 3.890 * [taylor]: Taking taylor expansion of 1/2 in y 3.890 * [backup-simplify]: Simplify 1/2 into 1/2 3.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 3.890 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 3.890 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.890 * [taylor]: Taking taylor expansion of z in y 3.890 * [backup-simplify]: Simplify z into z 3.890 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.890 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 3.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.890 * [taylor]: Taking taylor expansion of y in y 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (* 1 1) into 1 3.891 * [backup-simplify]: Simplify (/ 1 1) into 1 3.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify (+ 0 1) into 1 3.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.893 * [taylor]: Taking taylor expansion of 0 in z 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [taylor]: Taking taylor expansion of 0 in z 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [taylor]: Taking taylor expansion of 0 in z 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.895 * [backup-simplify]: Simplify (+ 0 0) into 0 3.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 3.899 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 3.900 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0 3.900 * [backup-simplify]: Simplify (+ 0 0) into 0 3.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 3.901 * [taylor]: Taking taylor expansion of 0 in y 3.901 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 3.904 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 3.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 3.904 * [taylor]: Taking taylor expansion of 1/2 in z 3.904 * [backup-simplify]: Simplify 1/2 into 1/2 3.904 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 3.904 * [taylor]: Taking taylor expansion of (pow z 2) in z 3.904 * [taylor]: Taking taylor expansion of z in z 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [backup-simplify]: Simplify (* 1 1) into 1 3.904 * [backup-simplify]: Simplify (/ 1 1) into 1 3.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [taylor]: Taking taylor expansion of 0 in z 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [taylor]: Taking taylor expansion of 0 in z 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.908 * [backup-simplify]: Simplify (+ 0 0) into 0 3.909 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.911 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 3.913 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 3.914 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 3.914 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0 3.914 * [backup-simplify]: Simplify (+ 0 0) into 0 3.915 * [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)))))) 3.916 * [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 3.916 * [taylor]: Taking taylor expansion of -1/2 in y 3.916 * [backup-simplify]: Simplify -1/2 into -1/2 3.916 * [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 3.916 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 3.916 * [taylor]: Taking taylor expansion of 1/4 in y 3.916 * [backup-simplify]: Simplify 1/4 into 1/4 3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 3.916 * [taylor]: Taking taylor expansion of (pow z 4) in y 3.916 * [taylor]: Taking taylor expansion of z in y 3.916 * [backup-simplify]: Simplify z into z 3.916 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.916 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 3.916 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 3.916 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 3.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 3.916 * [taylor]: Taking taylor expansion of 1/2 in y 3.916 * [backup-simplify]: Simplify 1/2 into 1/2 3.916 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 3.916 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 3.916 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.916 * [taylor]: Taking taylor expansion of z in y 3.916 * [backup-simplify]: Simplify z into z 3.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.916 * [taylor]: Taking taylor expansion of y in y 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (* z z) into (pow z 2) 3.917 * [backup-simplify]: Simplify (* 1 1) into 1 3.917 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 3.917 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 3.917 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 3.917 * [taylor]: Taking taylor expansion of 1/4 in y 3.917 * [backup-simplify]: Simplify 1/4 into 1/4 3.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.917 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.917 * [taylor]: Taking taylor expansion of y in y 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (* 1 1) into 1 3.918 * [backup-simplify]: Simplify (* 1 1) into 1 3.918 * [backup-simplify]: Simplify (/ 1 1) into 1 3.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.919 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 3.919 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 3.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 3.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.925 * [backup-simplify]: Simplify (+ 0 0) into 0 3.926 * [backup-simplify]: Simplify (+ 0 0) into 0 3.926 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 3.927 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 3.927 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 3.927 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 3.928 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 3.929 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.930 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.931 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 3.931 * [taylor]: Taking taylor expansion of 0 in z 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [taylor]: Taking taylor expansion of 0 in z 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 3.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 3.935 * [taylor]: Taking taylor expansion of 0 in z 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [taylor]: Taking taylor expansion of 0 in z 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [taylor]: Taking taylor expansion of 0 in z 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 3.937 * * * [progress]: simplifying candidates 3.938 * [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 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) z x (* -1 x) 3.938 * * [simplify]: Extracting # 0 : cost 0 3.938 * * [simplify]: Extracting # 1 : cost 0 3.938 * * [simplify]: Extracting # 2 : cost 0 3.938 * * [simplify]: Extracting # 3 : cost 0 3.939 * * [simplify]: Extracting # 4 : cost 0 3.939 * * [simplify]: Extracting # 5 : cost 0 3.939 * * [simplify]: Extracting # 6 : cost 0 3.939 * * [simplify]: iteration 0 : 53 enodes (cost 389 ) 3.950 * * [simplify]: Extracting # 0 : cost 0 3.950 * * [simplify]: Extracting # 1 : cost 0 3.950 * * [simplify]: Extracting # 2 : cost 0 3.950 * * [simplify]: Extracting # 3 : cost 0 3.951 * * [simplify]: iteration 1 : 115 enodes (cost 220 ) 3.985 * * [simplify]: Extracting # 0 : cost 0 3.986 * * [simplify]: Extracting # 1 : cost 0 3.986 * * [simplify]: Extracting # 2 : cost 0 3.987 * * [simplify]: Extracting # 3 : cost 0 3.987 * * [simplify]: iteration 2 : 268 enodes (cost 194 ) 4.125 * * [simplify]: Extracting # 0 : cost 0 4.126 * * [simplify]: Extracting # 1 : cost 0 4.127 * * [simplify]: Extracting # 2 : cost 0 4.129 * * [simplify]: Extracting # 3 : cost 0 4.130 * * [simplify]: Extracting # 4 : cost 0 4.131 * * [simplify]: iteration 3 : 586 enodes (cost 188 ) 4.527 * * [simplify]: Extracting # 0 : cost 0 4.530 * * [simplify]: Extracting # 1 : cost 0 4.533 * * [simplify]: Extracting # 2 : cost 0 4.534 * * [simplify]: Extracting # 3 : cost 0 4.536 * * [simplify]: Extracting # 4 : cost 0 4.537 * * [simplify]: Extracting # 5 : cost 0 4.539 * * [simplify]: iteration 4 : 1444 enodes (cost 188 ) 6.919 * * [simplify]: Extracting # 0 : cost 0 6.925 * * [simplify]: Extracting # 1 : cost 0 6.928 * * [simplify]: Extracting # 2 : cost 0 6.932 * * [simplify]: Extracting # 3 : cost 0 6.942 * * [simplify]: Extracting # 4 : cost 0 6.946 * * [simplify]: iteration 5 : 4140 enodes (cost 188 ) 8.465 * * [simplify]: Extracting # 0 : cost 0 8.476 * * [simplify]: Extracting # 1 : cost 0 8.483 * * [simplify]: Extracting # 2 : cost 0 8.491 * * [simplify]: iteration done: 5000 enodes (cost 188 ) 8.491 * [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 x 3) (pow y 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 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma z z (fma x x (* y y))) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) y x (- x) z x (- x) 8.492 * * * [progress]: adding candidates to table 8.632 * * [progress]: iteration 3 / 4 8.632 * * * [progress]: picking best candidate 8.635 * * * * [pick]: Picked # 8.635 * * * [progress]: localizing error 8.645 * * * [progress]: generating rewritten candidates 8.645 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.646 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 8.647 * * * [progress]: generating series expansions 8.647 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.648 * [backup-simplify]: Simplify (hypot (hypot x y) z) into (hypot (hypot x y) z) 8.648 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 8.648 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 8.648 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 8.648 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 8.648 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 8.648 * [taylor]: Taking taylor expansion of (hypot x y) in z 8.648 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.648 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 8.648 * [taylor]: Taking taylor expansion of (* x x) in z 8.648 * [taylor]: Taking taylor expansion of x in z 8.648 * [backup-simplify]: Simplify x into x 8.648 * [taylor]: Taking taylor expansion of x in z 8.648 * [backup-simplify]: Simplify x into x 8.648 * [taylor]: Taking taylor expansion of (* y y) in z 8.648 * [taylor]: Taking taylor expansion of y in z 8.649 * [backup-simplify]: Simplify y into y 8.649 * [taylor]: Taking taylor expansion of y in z 8.649 * [backup-simplify]: Simplify y into y 8.649 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.649 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.649 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 8.654 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 8.655 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.655 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.655 * [backup-simplify]: Simplify (+ 0 0) into 0 8.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 8.656 * [taylor]: Taking taylor expansion of (hypot x y) in z 8.656 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.656 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 8.656 * [taylor]: Taking taylor expansion of (* x x) in z 8.656 * [taylor]: Taking taylor expansion of x in z 8.656 * [backup-simplify]: Simplify x into x 8.656 * [taylor]: Taking taylor expansion of x in z 8.656 * [backup-simplify]: Simplify x into x 8.656 * [taylor]: Taking taylor expansion of (* y y) in z 8.656 * [taylor]: Taking taylor expansion of y in z 8.656 * [backup-simplify]: Simplify y into y 8.656 * [taylor]: Taking taylor expansion of y in z 8.656 * [backup-simplify]: Simplify y into y 8.657 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.657 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.657 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 8.657 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 8.657 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.657 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.658 * [backup-simplify]: Simplify (+ 0 0) into 0 8.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 8.659 * [taylor]: Taking taylor expansion of (* z z) in z 8.659 * [taylor]: Taking taylor expansion of z in z 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify 1 into 1 8.659 * [taylor]: Taking taylor expansion of z in z 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify 1 into 1 8.659 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2)) 8.660 * [backup-simplify]: Simplify (* 0 0) into 0 8.660 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2)) 8.660 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 8.661 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0 8.662 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.662 * [backup-simplify]: Simplify (+ 0 0) into 0 8.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 8.663 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 8.663 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 8.663 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 8.663 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 8.663 * [taylor]: Taking taylor expansion of (hypot x y) in y 8.663 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.663 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 8.663 * [taylor]: Taking taylor expansion of (* x x) in y 8.663 * [taylor]: Taking taylor expansion of x in y 8.663 * [backup-simplify]: Simplify x into x 8.663 * [taylor]: Taking taylor expansion of x in y 8.663 * [backup-simplify]: Simplify x into x 8.663 * [taylor]: Taking taylor expansion of (* y y) in y 8.663 * [taylor]: Taking taylor expansion of y in y 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 1 into 1 8.663 * [taylor]: Taking taylor expansion of y in y 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 1 into 1 8.663 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.664 * [backup-simplify]: Simplify (* 0 0) into 0 8.664 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.664 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.664 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.665 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.665 * [backup-simplify]: Simplify (+ 0 0) into 0 8.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.666 * [taylor]: Taking taylor expansion of (hypot x y) in y 8.666 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.666 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 8.666 * [taylor]: Taking taylor expansion of (* x x) in y 8.666 * [taylor]: Taking taylor expansion of x in y 8.666 * [backup-simplify]: Simplify x into x 8.666 * [taylor]: Taking taylor expansion of x in y 8.666 * [backup-simplify]: Simplify x into x 8.666 * [taylor]: Taking taylor expansion of (* y y) in y 8.666 * [taylor]: Taking taylor expansion of y in y 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [taylor]: Taking taylor expansion of y in y 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.667 * [backup-simplify]: Simplify (* 0 0) into 0 8.667 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.667 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.667 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.668 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.668 * [backup-simplify]: Simplify (+ 0 0) into 0 8.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.669 * [taylor]: Taking taylor expansion of (* z z) in y 8.669 * [taylor]: Taking taylor expansion of z in y 8.669 * [backup-simplify]: Simplify z into z 8.669 * [taylor]: Taking taylor expansion of z in y 8.669 * [backup-simplify]: Simplify z into z 8.669 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.669 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.669 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 8.669 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 8.669 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.670 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 8.670 * [backup-simplify]: Simplify (+ 0 0) into 0 8.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 8.670 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 8.671 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 8.671 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 8.671 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 8.671 * [taylor]: Taking taylor expansion of (hypot x y) in x 8.671 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.671 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 8.671 * [taylor]: Taking taylor expansion of (* x x) in x 8.671 * [taylor]: Taking taylor expansion of x in x 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.671 * [taylor]: Taking taylor expansion of x in x 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.671 * [taylor]: Taking taylor expansion of (* y y) in x 8.671 * [taylor]: Taking taylor expansion of y in x 8.671 * [backup-simplify]: Simplify y into y 8.671 * [taylor]: Taking taylor expansion of y in x 8.671 * [backup-simplify]: Simplify y into y 8.672 * [backup-simplify]: Simplify (* 0 0) into 0 8.672 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.672 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.672 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.673 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.673 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.673 * [backup-simplify]: Simplify (+ 0 0) into 0 8.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.674 * [taylor]: Taking taylor expansion of (hypot x y) in x 8.674 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.674 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 8.674 * [taylor]: Taking taylor expansion of (* x x) in x 8.674 * [taylor]: Taking taylor expansion of x in x 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 1 into 1 8.674 * [taylor]: Taking taylor expansion of x in x 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 1 into 1 8.674 * [taylor]: Taking taylor expansion of (* y y) in x 8.674 * [taylor]: Taking taylor expansion of y in x 8.674 * [backup-simplify]: Simplify y into y 8.674 * [taylor]: Taking taylor expansion of y in x 8.674 * [backup-simplify]: Simplify y into y 8.675 * [backup-simplify]: Simplify (* 0 0) into 0 8.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.675 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.675 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.676 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.676 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.676 * [backup-simplify]: Simplify (+ 0 0) into 0 8.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.676 * [taylor]: Taking taylor expansion of (* z z) in x 8.676 * [taylor]: Taking taylor expansion of z in x 8.677 * [backup-simplify]: Simplify z into z 8.677 * [taylor]: Taking taylor expansion of z in x 8.677 * [backup-simplify]: Simplify z into z 8.677 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.677 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.677 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 8.677 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 8.677 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.677 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 8.678 * [backup-simplify]: Simplify (+ 0 0) into 0 8.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 8.678 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 8.678 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 8.678 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 8.679 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 8.679 * [taylor]: Taking taylor expansion of (hypot x y) in x 8.679 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.679 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 8.679 * [taylor]: Taking taylor expansion of (* x x) in x 8.679 * [taylor]: Taking taylor expansion of x in x 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [taylor]: Taking taylor expansion of x in x 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [taylor]: Taking taylor expansion of (* y y) in x 8.679 * [taylor]: Taking taylor expansion of y in x 8.679 * [backup-simplify]: Simplify y into y 8.679 * [taylor]: Taking taylor expansion of y in x 8.679 * [backup-simplify]: Simplify y into y 8.680 * [backup-simplify]: Simplify (* 0 0) into 0 8.680 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.680 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.680 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.681 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.681 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.681 * [backup-simplify]: Simplify (+ 0 0) into 0 8.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.681 * [taylor]: Taking taylor expansion of (hypot x y) in x 8.682 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.682 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 8.682 * [taylor]: Taking taylor expansion of (* x x) in x 8.682 * [taylor]: Taking taylor expansion of x in x 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.682 * [taylor]: Taking taylor expansion of x in x 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.682 * [taylor]: Taking taylor expansion of (* y y) in x 8.682 * [taylor]: Taking taylor expansion of y in x 8.682 * [backup-simplify]: Simplify y into y 8.682 * [taylor]: Taking taylor expansion of y in x 8.682 * [backup-simplify]: Simplify y into y 8.682 * [backup-simplify]: Simplify (* 0 0) into 0 8.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.683 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.683 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.683 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.684 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.684 * [backup-simplify]: Simplify (+ 0 0) into 0 8.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.684 * [taylor]: Taking taylor expansion of (* z z) in x 8.684 * [taylor]: Taking taylor expansion of z in x 8.684 * [backup-simplify]: Simplify z into z 8.684 * [taylor]: Taking taylor expansion of z in x 8.684 * [backup-simplify]: Simplify z into z 8.684 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.684 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.685 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 8.685 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 8.685 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.685 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 8.686 * [backup-simplify]: Simplify (+ 0 0) into 0 8.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 8.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 8.686 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 8.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.686 * [taylor]: Taking taylor expansion of y in y 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [taylor]: Taking taylor expansion of (pow z 2) in y 8.686 * [taylor]: Taking taylor expansion of z in y 8.686 * [backup-simplify]: Simplify z into z 8.686 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.686 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 8.687 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 8.687 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 8.687 * [backup-simplify]: Simplify (+ 0 0) into 0 8.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 8.687 * [taylor]: Taking taylor expansion of z in z 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 1 into 1 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [taylor]: Taking taylor expansion of 0 in y 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [taylor]: Taking taylor expansion of 0 in z 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [taylor]: Taking taylor expansion of 0 in z 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 1 into 1 8.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.689 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.690 * [backup-simplify]: Simplify (+ 1 0) into 1 8.691 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 8.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.692 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.693 * [backup-simplify]: Simplify (+ 1 0) into 1 8.693 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 8.694 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 8.694 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 8.694 * [backup-simplify]: Simplify (+ 1 0) into 1 8.695 * [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))))) 8.695 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 8.695 * [taylor]: Taking taylor expansion of 1/2 in y 8.695 * [backup-simplify]: Simplify 1/2 into 1/2 8.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 8.695 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 8.695 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 8.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.695 * [taylor]: Taking taylor expansion of y in y 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify 1 into 1 8.695 * [taylor]: Taking taylor expansion of (pow z 2) in y 8.695 * [taylor]: Taking taylor expansion of z in y 8.695 * [backup-simplify]: Simplify z into z 8.695 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.696 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 8.696 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 8.696 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 8.696 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 8.696 * [backup-simplify]: Simplify (+ 0 0) into 0 8.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 8.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 8.697 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 8.697 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 8.697 * [taylor]: Taking taylor expansion of 1/2 in z 8.697 * [backup-simplify]: Simplify 1/2 into 1/2 8.697 * [taylor]: Taking taylor expansion of z in z 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [taylor]: Taking taylor expansion of 0 in z 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify (* 1 1) into 1 8.699 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 8.699 * [backup-simplify]: Simplify (+ 1 0) into 1 8.699 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 8.699 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 8.699 * [taylor]: Taking taylor expansion of 1/2 in z 8.699 * [backup-simplify]: Simplify 1/2 into 1/2 8.700 * [taylor]: Taking taylor expansion of z in z 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 1 into 1 8.700 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.700 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 8.701 * [backup-simplify]: Simplify (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) into (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) 8.701 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 8.701 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 8.701 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 8.702 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 8.702 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 8.702 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 8.702 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.702 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 8.702 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 8.702 * [taylor]: Taking taylor expansion of (/ 1 x) in z 8.702 * [taylor]: Taking taylor expansion of x in z 8.702 * [backup-simplify]: Simplify x into x 8.702 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.702 * [taylor]: Taking taylor expansion of (/ 1 x) in z 8.702 * [taylor]: Taking taylor expansion of x in z 8.702 * [backup-simplify]: Simplify x into x 8.702 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.702 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 8.702 * [taylor]: Taking taylor expansion of (/ 1 y) in z 8.702 * [taylor]: Taking taylor expansion of y in z 8.702 * [backup-simplify]: Simplify y into y 8.702 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.702 * [taylor]: Taking taylor expansion of (/ 1 y) in z 8.702 * [taylor]: Taking taylor expansion of y in z 8.702 * [backup-simplify]: Simplify y into y 8.702 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.702 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 8.703 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 8.703 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.703 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.704 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 8.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.704 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 8.704 * [backup-simplify]: Simplify (+ 0 0) into 0 8.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 8.705 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 8.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.705 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 8.705 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 8.705 * [taylor]: Taking taylor expansion of (/ 1 x) in z 8.705 * [taylor]: Taking taylor expansion of x in z 8.705 * [backup-simplify]: Simplify x into x 8.705 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.705 * [taylor]: Taking taylor expansion of (/ 1 x) in z 8.705 * [taylor]: Taking taylor expansion of x in z 8.705 * [backup-simplify]: Simplify x into x 8.705 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.705 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 8.705 * [taylor]: Taking taylor expansion of (/ 1 y) in z 8.705 * [taylor]: Taking taylor expansion of y in z 8.705 * [backup-simplify]: Simplify y into y 8.706 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.706 * [taylor]: Taking taylor expansion of (/ 1 y) in z 8.706 * [taylor]: Taking taylor expansion of y in z 8.706 * [backup-simplify]: Simplify y into y 8.706 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.706 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 8.706 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 8.706 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.706 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.707 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 8.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.707 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 8.708 * [backup-simplify]: Simplify (+ 0 0) into 0 8.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 8.708 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 8.708 * [taylor]: Taking taylor expansion of (/ 1 z) in z 8.708 * [taylor]: Taking taylor expansion of z in z 8.708 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify 1 into 1 8.709 * [backup-simplify]: Simplify (/ 1 1) into 1 8.709 * [taylor]: Taking taylor expansion of (/ 1 z) in z 8.709 * [taylor]: Taking taylor expansion of z in z 8.709 * [backup-simplify]: Simplify 0 into 0 8.709 * [backup-simplify]: Simplify 1 into 1 8.709 * [backup-simplify]: Simplify (/ 1 1) into 1 8.710 * [backup-simplify]: Simplify (* 1 1) into 1 8.710 * [backup-simplify]: Simplify (+ 0 1) into 1 8.711 * [backup-simplify]: Simplify (sqrt 1) into 1 8.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.713 * [backup-simplify]: Simplify (+ 0 0) into 0 8.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.714 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 8.714 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 8.714 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 8.714 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 8.714 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 8.714 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.714 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 8.714 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 8.714 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.714 * [taylor]: Taking taylor expansion of x in y 8.714 * [backup-simplify]: Simplify x into x 8.714 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.714 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.715 * [taylor]: Taking taylor expansion of x in y 8.715 * [backup-simplify]: Simplify x into x 8.715 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.715 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 8.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.715 * [taylor]: Taking taylor expansion of y in y 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [backup-simplify]: Simplify (/ 1 1) into 1 8.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.715 * [taylor]: Taking taylor expansion of y in y 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (/ 1 1) into 1 8.716 * [backup-simplify]: Simplify (* 1 1) into 1 8.716 * [backup-simplify]: Simplify (+ 0 1) into 1 8.717 * [backup-simplify]: Simplify (sqrt 1) into 1 8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.719 * [backup-simplify]: Simplify (+ 0 0) into 0 8.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.719 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 8.719 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.720 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 8.720 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 8.720 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.720 * [taylor]: Taking taylor expansion of x in y 8.720 * [backup-simplify]: Simplify x into x 8.720 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.720 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.720 * [taylor]: Taking taylor expansion of x in y 8.720 * [backup-simplify]: Simplify x into x 8.720 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.720 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 8.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.720 * [taylor]: Taking taylor expansion of y in y 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (/ 1 1) into 1 8.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.720 * [taylor]: Taking taylor expansion of y in y 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (/ 1 1) into 1 8.721 * [backup-simplify]: Simplify (* 1 1) into 1 8.721 * [backup-simplify]: Simplify (+ 0 1) into 1 8.721 * [backup-simplify]: Simplify (sqrt 1) into 1 8.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.723 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 8.723 * [taylor]: Taking taylor expansion of (/ 1 z) in y 8.723 * [taylor]: Taking taylor expansion of z in y 8.723 * [backup-simplify]: Simplify z into z 8.723 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 8.723 * [taylor]: Taking taylor expansion of (/ 1 z) in y 8.723 * [taylor]: Taking taylor expansion of z in y 8.723 * [backup-simplify]: Simplify z into z 8.724 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 8.724 * [backup-simplify]: Simplify (* 1 1) into 1 8.724 * [backup-simplify]: Simplify (+ 1 0) into 1 8.724 * [backup-simplify]: Simplify (sqrt 1) into 1 8.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.725 * [backup-simplify]: Simplify (+ 0 0) into 0 8.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.725 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 8.726 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 8.726 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 8.726 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 8.726 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 8.726 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.726 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 8.726 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.726 * [taylor]: Taking taylor expansion of x in x 8.726 * [backup-simplify]: Simplify 0 into 0 8.726 * [backup-simplify]: Simplify 1 into 1 8.726 * [backup-simplify]: Simplify (/ 1 1) into 1 8.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.726 * [taylor]: Taking taylor expansion of x in x 8.726 * [backup-simplify]: Simplify 0 into 0 8.726 * [backup-simplify]: Simplify 1 into 1 8.727 * [backup-simplify]: Simplify (/ 1 1) into 1 8.727 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 8.727 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.727 * [taylor]: Taking taylor expansion of y in x 8.727 * [backup-simplify]: Simplify y into y 8.727 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.727 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.727 * [taylor]: Taking taylor expansion of y in x 8.727 * [backup-simplify]: Simplify y into y 8.727 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.727 * [backup-simplify]: Simplify (* 1 1) into 1 8.727 * [backup-simplify]: Simplify (+ 1 0) into 1 8.728 * [backup-simplify]: Simplify (sqrt 1) into 1 8.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.729 * [backup-simplify]: Simplify (+ 0 0) into 0 8.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.730 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 8.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.730 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 8.730 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.730 * [taylor]: Taking taylor expansion of x in x 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify (/ 1 1) into 1 8.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.730 * [taylor]: Taking taylor expansion of x in x 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify (/ 1 1) into 1 8.730 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 8.730 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.730 * [taylor]: Taking taylor expansion of y in x 8.731 * [backup-simplify]: Simplify y into y 8.731 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.731 * [taylor]: Taking taylor expansion of y in x 8.731 * [backup-simplify]: Simplify y into y 8.731 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.731 * [backup-simplify]: Simplify (* 1 1) into 1 8.731 * [backup-simplify]: Simplify (+ 1 0) into 1 8.731 * [backup-simplify]: Simplify (sqrt 1) into 1 8.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.733 * [backup-simplify]: Simplify (+ 0 0) into 0 8.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.733 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 8.734 * [taylor]: Taking taylor expansion of (/ 1 z) in x 8.734 * [taylor]: Taking taylor expansion of z in x 8.734 * [backup-simplify]: Simplify z into z 8.734 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 8.734 * [taylor]: Taking taylor expansion of (/ 1 z) in x 8.734 * [taylor]: Taking taylor expansion of z in x 8.734 * [backup-simplify]: Simplify z into z 8.734 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 8.734 * [backup-simplify]: Simplify (* 1 1) into 1 8.735 * [backup-simplify]: Simplify (+ 1 0) into 1 8.735 * [backup-simplify]: Simplify (sqrt 1) into 1 8.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.737 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 8.737 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 8.737 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 8.737 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 8.737 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 8.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.737 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 8.737 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.737 * [taylor]: Taking taylor expansion of x in x 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (/ 1 1) into 1 8.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.738 * [taylor]: Taking taylor expansion of x in x 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (/ 1 1) into 1 8.738 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 8.738 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.738 * [taylor]: Taking taylor expansion of y in x 8.738 * [backup-simplify]: Simplify y into y 8.738 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.738 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.738 * [taylor]: Taking taylor expansion of y in x 8.738 * [backup-simplify]: Simplify y into y 8.738 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.739 * [backup-simplify]: Simplify (* 1 1) into 1 8.739 * [backup-simplify]: Simplify (+ 1 0) into 1 8.740 * [backup-simplify]: Simplify (sqrt 1) into 1 8.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.742 * [backup-simplify]: Simplify (+ 0 0) into 0 8.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.743 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 8.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.743 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 8.743 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.743 * [taylor]: Taking taylor expansion of x in x 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify 1 into 1 8.743 * [backup-simplify]: Simplify (/ 1 1) into 1 8.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.743 * [taylor]: Taking taylor expansion of x in x 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify 1 into 1 8.744 * [backup-simplify]: Simplify (/ 1 1) into 1 8.744 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 8.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.744 * [taylor]: Taking taylor expansion of y in x 8.744 * [backup-simplify]: Simplify y into y 8.744 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.744 * [taylor]: Taking taylor expansion of y in x 8.744 * [backup-simplify]: Simplify y into y 8.744 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.745 * [backup-simplify]: Simplify (* 1 1) into 1 8.745 * [backup-simplify]: Simplify (+ 1 0) into 1 8.745 * [backup-simplify]: Simplify (sqrt 1) into 1 8.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.748 * [backup-simplify]: Simplify (+ 0 0) into 0 8.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.749 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 8.749 * [taylor]: Taking taylor expansion of (/ 1 z) in x 8.749 * [taylor]: Taking taylor expansion of z in x 8.749 * [backup-simplify]: Simplify z into z 8.749 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 8.749 * [taylor]: Taking taylor expansion of (/ 1 z) in x 8.749 * [taylor]: Taking taylor expansion of z in x 8.749 * [backup-simplify]: Simplify z into z 8.749 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 8.749 * [backup-simplify]: Simplify (* 1 1) into 1 8.750 * [backup-simplify]: Simplify (+ 1 0) into 1 8.750 * [backup-simplify]: Simplify (sqrt 1) into 1 8.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.751 * [backup-simplify]: Simplify (+ 0 0) into 0 8.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.751 * [taylor]: Taking taylor expansion of 1 in y 8.751 * [backup-simplify]: Simplify 1 into 1 8.752 * [taylor]: Taking taylor expansion of 0 in y 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [taylor]: Taking taylor expansion of 1 in z 8.752 * [backup-simplify]: Simplify 1 into 1 8.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.753 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 8.754 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.754 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.756 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 8.756 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.757 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.758 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 8.758 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2)) 8.758 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 8.759 * [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)))) 8.759 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 8.759 * [taylor]: Taking taylor expansion of 1/2 in y 8.759 * [backup-simplify]: Simplify 1/2 into 1/2 8.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 8.759 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 8.759 * [taylor]: Taking taylor expansion of (pow z 2) in y 8.759 * [taylor]: Taking taylor expansion of z in y 8.759 * [backup-simplify]: Simplify z into z 8.759 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.760 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 8.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.760 * [taylor]: Taking taylor expansion of y in y 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 1 into 1 8.760 * [backup-simplify]: Simplify (* 1 1) into 1 8.760 * [backup-simplify]: Simplify (/ 1 1) into 1 8.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.762 * [backup-simplify]: Simplify (+ 0 1) into 1 8.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.762 * [taylor]: Taking taylor expansion of 0 in z 8.762 * [backup-simplify]: Simplify 0 into 0 8.762 * [taylor]: Taking taylor expansion of 0 in z 8.762 * [backup-simplify]: Simplify 0 into 0 8.762 * [taylor]: Taking taylor expansion of 0 in z 8.762 * [backup-simplify]: Simplify 0 into 0 8.762 * [backup-simplify]: Simplify 1 into 1 8.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.764 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 8.765 * [backup-simplify]: Simplify (+ 0 0) into 0 8.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.767 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 8.767 * [backup-simplify]: Simplify (+ 0 0) into 0 8.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 8.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 8.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 8.769 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0 8.769 * [backup-simplify]: Simplify (+ 0 0) into 0 8.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 8.770 * [taylor]: Taking taylor expansion of 0 in y 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.771 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 8.772 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 8.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 8.772 * [taylor]: Taking taylor expansion of 1/2 in z 8.772 * [backup-simplify]: Simplify 1/2 into 1/2 8.772 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 8.772 * [taylor]: Taking taylor expansion of (pow z 2) in z 8.772 * [taylor]: Taking taylor expansion of z in z 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (* 1 1) into 1 8.772 * [backup-simplify]: Simplify (/ 1 1) into 1 8.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [taylor]: Taking taylor expansion of 0 in z 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [taylor]: Taking taylor expansion of 0 in z 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.776 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 8.777 * [backup-simplify]: Simplify (+ 0 0) into 0 8.778 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 8.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.780 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 8.780 * [backup-simplify]: Simplify (+ 0 0) into 0 8.781 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 8.782 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 8.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 8.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 8.783 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 8.783 * [backup-simplify]: Simplify (+ 0 0) into 0 8.788 * [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)))))) 8.788 * [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 8.788 * [taylor]: Taking taylor expansion of -1/2 in y 8.788 * [backup-simplify]: Simplify -1/2 into -1/2 8.788 * [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 8.788 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 8.788 * [taylor]: Taking taylor expansion of 1/4 in y 8.788 * [backup-simplify]: Simplify 1/4 into 1/4 8.788 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 8.788 * [taylor]: Taking taylor expansion of (pow z 4) in y 8.788 * [taylor]: Taking taylor expansion of z in y 8.788 * [backup-simplify]: Simplify z into z 8.788 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.789 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 8.789 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 8.789 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 8.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 8.789 * [taylor]: Taking taylor expansion of 1/2 in y 8.789 * [backup-simplify]: Simplify 1/2 into 1/2 8.789 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 8.789 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 8.789 * [taylor]: Taking taylor expansion of (pow z 2) in y 8.789 * [taylor]: Taking taylor expansion of z in y 8.789 * [backup-simplify]: Simplify z into z 8.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.789 * [taylor]: Taking taylor expansion of y in y 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.790 * [backup-simplify]: Simplify (* 1 1) into 1 8.790 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 8.790 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 8.790 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 8.790 * [taylor]: Taking taylor expansion of 1/4 in y 8.790 * [backup-simplify]: Simplify 1/4 into 1/4 8.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.790 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.790 * [taylor]: Taking taylor expansion of y in y 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify 1 into 1 8.790 * [backup-simplify]: Simplify (* 1 1) into 1 8.791 * [backup-simplify]: Simplify (* 1 1) into 1 8.791 * [backup-simplify]: Simplify (/ 1 1) into 1 8.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.791 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 8.792 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 8.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 8.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 8.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.798 * [backup-simplify]: Simplify (+ 0 0) into 0 8.798 * [backup-simplify]: Simplify (+ 0 0) into 0 8.799 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 8.799 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 8.800 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 8.800 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 8.800 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.800 * [backup-simplify]: Simplify (+ 0 0) into 0 8.801 * [backup-simplify]: Simplify (+ 0 0) into 0 8.801 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.801 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.802 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.802 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 8.802 * [taylor]: Taking taylor expansion of 0 in z 8.802 * [backup-simplify]: Simplify 0 into 0 8.803 * [taylor]: Taking taylor expansion of 0 in z 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 8.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 8.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.804 * [backup-simplify]: Simplify (+ 0 0) into 0 8.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 8.805 * [taylor]: Taking taylor expansion of 0 in z 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [taylor]: Taking taylor expansion of 0 in z 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [taylor]: Taking taylor expansion of 0 in z 8.805 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.807 * [backup-simplify]: Simplify 0 into 0 8.807 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 8.807 * [backup-simplify]: Simplify (hypot (hypot (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))) into (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) 8.807 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 8.807 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 8.808 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 8.808 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 8.808 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 8.808 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 8.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.808 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 8.808 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 8.808 * [taylor]: Taking taylor expansion of (/ -1 x) in z 8.808 * [taylor]: Taking taylor expansion of -1 in z 8.808 * [backup-simplify]: Simplify -1 into -1 8.808 * [taylor]: Taking taylor expansion of x in z 8.808 * [backup-simplify]: Simplify x into x 8.808 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 8.808 * [taylor]: Taking taylor expansion of (/ -1 x) in z 8.808 * [taylor]: Taking taylor expansion of -1 in z 8.808 * [backup-simplify]: Simplify -1 into -1 8.808 * [taylor]: Taking taylor expansion of x in z 8.808 * [backup-simplify]: Simplify x into x 8.808 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 8.808 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 8.808 * [taylor]: Taking taylor expansion of (/ -1 y) in z 8.808 * [taylor]: Taking taylor expansion of -1 in z 8.808 * [backup-simplify]: Simplify -1 into -1 8.808 * [taylor]: Taking taylor expansion of y in z 8.808 * [backup-simplify]: Simplify y into y 8.808 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.808 * [taylor]: Taking taylor expansion of (/ -1 y) in z 8.808 * [taylor]: Taking taylor expansion of -1 in z 8.808 * [backup-simplify]: Simplify -1 into -1 8.808 * [taylor]: Taking taylor expansion of y in z 8.808 * [backup-simplify]: Simplify y into y 8.808 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.808 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 8.809 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 8.809 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.809 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.809 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 8.809 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 8.809 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 8.810 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 8.810 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 8.810 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 8.810 * [backup-simplify]: Simplify (+ 0 0) into 0 8.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 8.810 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 8.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.811 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 8.811 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 8.811 * [taylor]: Taking taylor expansion of (/ -1 x) in z 8.811 * [taylor]: Taking taylor expansion of -1 in z 8.811 * [backup-simplify]: Simplify -1 into -1 8.811 * [taylor]: Taking taylor expansion of x in z 8.811 * [backup-simplify]: Simplify x into x 8.811 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 8.811 * [taylor]: Taking taylor expansion of (/ -1 x) in z 8.811 * [taylor]: Taking taylor expansion of -1 in z 8.811 * [backup-simplify]: Simplify -1 into -1 8.811 * [taylor]: Taking taylor expansion of x in z 8.811 * [backup-simplify]: Simplify x into x 8.811 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 8.811 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 8.811 * [taylor]: Taking taylor expansion of (/ -1 y) in z 8.811 * [taylor]: Taking taylor expansion of -1 in z 8.811 * [backup-simplify]: Simplify -1 into -1 8.811 * [taylor]: Taking taylor expansion of y in z 8.811 * [backup-simplify]: Simplify y into y 8.811 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.811 * [taylor]: Taking taylor expansion of (/ -1 y) in z 8.811 * [taylor]: Taking taylor expansion of -1 in z 8.811 * [backup-simplify]: Simplify -1 into -1 8.811 * [taylor]: Taking taylor expansion of y in z 8.811 * [backup-simplify]: Simplify y into y 8.811 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.811 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 8.811 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 8.811 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.812 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.812 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 8.812 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 8.812 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 8.812 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 8.812 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 8.813 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 8.813 * [backup-simplify]: Simplify (+ 0 0) into 0 8.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 8.813 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 8.814 * [taylor]: Taking taylor expansion of (/ -1 z) in z 8.814 * [taylor]: Taking taylor expansion of -1 in z 8.814 * [backup-simplify]: Simplify -1 into -1 8.814 * [taylor]: Taking taylor expansion of z in z 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify 1 into 1 8.814 * [backup-simplify]: Simplify (/ -1 1) into -1 8.814 * [taylor]: Taking taylor expansion of (/ -1 z) in z 8.814 * [taylor]: Taking taylor expansion of -1 in z 8.814 * [backup-simplify]: Simplify -1 into -1 8.814 * [taylor]: Taking taylor expansion of z in z 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify 1 into 1 8.815 * [backup-simplify]: Simplify (/ -1 1) into -1 8.815 * [backup-simplify]: Simplify (* -1 -1) into 1 8.816 * [backup-simplify]: Simplify (+ 0 1) into 1 8.816 * [backup-simplify]: Simplify (sqrt 1) into 1 8.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.818 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.818 * [backup-simplify]: Simplify (+ 0 0) into 0 8.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.819 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 8.819 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 8.819 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 8.819 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 8.819 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 8.819 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.819 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 8.819 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 8.819 * [taylor]: Taking taylor expansion of (/ -1 x) in y 8.819 * [taylor]: Taking taylor expansion of -1 in y 8.819 * [backup-simplify]: Simplify -1 into -1 8.819 * [taylor]: Taking taylor expansion of x in y 8.819 * [backup-simplify]: Simplify x into x 8.819 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 8.819 * [taylor]: Taking taylor expansion of (/ -1 x) in y 8.819 * [taylor]: Taking taylor expansion of -1 in y 8.819 * [backup-simplify]: Simplify -1 into -1 8.819 * [taylor]: Taking taylor expansion of x in y 8.820 * [backup-simplify]: Simplify x into x 8.820 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 8.820 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 8.820 * [taylor]: Taking taylor expansion of (/ -1 y) in y 8.820 * [taylor]: Taking taylor expansion of -1 in y 8.820 * [backup-simplify]: Simplify -1 into -1 8.820 * [taylor]: Taking taylor expansion of y in y 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify 1 into 1 8.820 * [backup-simplify]: Simplify (/ -1 1) into -1 8.820 * [taylor]: Taking taylor expansion of (/ -1 y) in y 8.820 * [taylor]: Taking taylor expansion of -1 in y 8.820 * [backup-simplify]: Simplify -1 into -1 8.820 * [taylor]: Taking taylor expansion of y in y 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify 1 into 1 8.820 * [backup-simplify]: Simplify (/ -1 1) into -1 8.821 * [backup-simplify]: Simplify (* -1 -1) into 1 8.821 * [backup-simplify]: Simplify (+ 0 1) into 1 8.821 * [backup-simplify]: Simplify (sqrt 1) into 1 8.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.823 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.823 * [backup-simplify]: Simplify (+ 0 0) into 0 8.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.824 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 8.824 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.824 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 8.824 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 8.824 * [taylor]: Taking taylor expansion of (/ -1 x) in y 8.824 * [taylor]: Taking taylor expansion of -1 in y 8.824 * [backup-simplify]: Simplify -1 into -1 8.824 * [taylor]: Taking taylor expansion of x in y 8.824 * [backup-simplify]: Simplify x into x 8.824 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 8.824 * [taylor]: Taking taylor expansion of (/ -1 x) in y 8.824 * [taylor]: Taking taylor expansion of -1 in y 8.824 * [backup-simplify]: Simplify -1 into -1 8.824 * [taylor]: Taking taylor expansion of x in y 8.824 * [backup-simplify]: Simplify x into x 8.824 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 8.824 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 8.824 * [taylor]: Taking taylor expansion of (/ -1 y) in y 8.824 * [taylor]: Taking taylor expansion of -1 in y 8.824 * [backup-simplify]: Simplify -1 into -1 8.824 * [taylor]: Taking taylor expansion of y in y 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify 1 into 1 8.825 * [backup-simplify]: Simplify (/ -1 1) into -1 8.825 * [taylor]: Taking taylor expansion of (/ -1 y) in y 8.825 * [taylor]: Taking taylor expansion of -1 in y 8.825 * [backup-simplify]: Simplify -1 into -1 8.825 * [taylor]: Taking taylor expansion of y in y 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify 1 into 1 8.825 * [backup-simplify]: Simplify (/ -1 1) into -1 8.826 * [backup-simplify]: Simplify (* -1 -1) into 1 8.826 * [backup-simplify]: Simplify (+ 0 1) into 1 8.826 * [backup-simplify]: Simplify (sqrt 1) into 1 8.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.828 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.829 * [backup-simplify]: Simplify (+ 0 0) into 0 8.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.829 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 8.829 * [taylor]: Taking taylor expansion of (/ -1 z) in y 8.829 * [taylor]: Taking taylor expansion of -1 in y 8.830 * [backup-simplify]: Simplify -1 into -1 8.830 * [taylor]: Taking taylor expansion of z in y 8.830 * [backup-simplify]: Simplify z into z 8.830 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 8.830 * [taylor]: Taking taylor expansion of (/ -1 z) in y 8.830 * [taylor]: Taking taylor expansion of -1 in y 8.830 * [backup-simplify]: Simplify -1 into -1 8.830 * [taylor]: Taking taylor expansion of z in y 8.830 * [backup-simplify]: Simplify z into z 8.830 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 8.830 * [backup-simplify]: Simplify (* 1 1) into 1 8.831 * [backup-simplify]: Simplify (+ 1 0) into 1 8.831 * [backup-simplify]: Simplify (sqrt 1) into 1 8.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.832 * [backup-simplify]: Simplify (+ 0 0) into 0 8.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.832 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 8.832 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 8.832 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 8.832 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 8.832 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 8.832 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.832 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 8.833 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.833 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.833 * [taylor]: Taking taylor expansion of -1 in x 8.833 * [backup-simplify]: Simplify -1 into -1 8.833 * [taylor]: Taking taylor expansion of x in x 8.833 * [backup-simplify]: Simplify 0 into 0 8.833 * [backup-simplify]: Simplify 1 into 1 8.833 * [backup-simplify]: Simplify (/ -1 1) into -1 8.833 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.833 * [taylor]: Taking taylor expansion of -1 in x 8.833 * [backup-simplify]: Simplify -1 into -1 8.833 * [taylor]: Taking taylor expansion of x in x 8.833 * [backup-simplify]: Simplify 0 into 0 8.833 * [backup-simplify]: Simplify 1 into 1 8.833 * [backup-simplify]: Simplify (/ -1 1) into -1 8.833 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 8.833 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.833 * [taylor]: Taking taylor expansion of -1 in x 8.833 * [backup-simplify]: Simplify -1 into -1 8.833 * [taylor]: Taking taylor expansion of y in x 8.833 * [backup-simplify]: Simplify y into y 8.834 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.834 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.834 * [taylor]: Taking taylor expansion of -1 in x 8.834 * [backup-simplify]: Simplify -1 into -1 8.834 * [taylor]: Taking taylor expansion of y in x 8.834 * [backup-simplify]: Simplify y into y 8.834 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.834 * [backup-simplify]: Simplify (* -1 -1) into 1 8.834 * [backup-simplify]: Simplify (+ 1 0) into 1 8.834 * [backup-simplify]: Simplify (sqrt 1) into 1 8.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.836 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.836 * [backup-simplify]: Simplify (+ 0 0) into 0 8.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.837 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 8.837 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.837 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 8.837 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.837 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.837 * [taylor]: Taking taylor expansion of -1 in x 8.837 * [backup-simplify]: Simplify -1 into -1 8.837 * [taylor]: Taking taylor expansion of x in x 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 1 into 1 8.837 * [backup-simplify]: Simplify (/ -1 1) into -1 8.837 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.837 * [taylor]: Taking taylor expansion of -1 in x 8.837 * [backup-simplify]: Simplify -1 into -1 8.837 * [taylor]: Taking taylor expansion of x in x 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 1 into 1 8.838 * [backup-simplify]: Simplify (/ -1 1) into -1 8.838 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 8.838 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.838 * [taylor]: Taking taylor expansion of -1 in x 8.838 * [backup-simplify]: Simplify -1 into -1 8.838 * [taylor]: Taking taylor expansion of y in x 8.838 * [backup-simplify]: Simplify y into y 8.838 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.838 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.838 * [taylor]: Taking taylor expansion of -1 in x 8.838 * [backup-simplify]: Simplify -1 into -1 8.838 * [taylor]: Taking taylor expansion of y in x 8.838 * [backup-simplify]: Simplify y into y 8.838 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.838 * [backup-simplify]: Simplify (* -1 -1) into 1 8.838 * [backup-simplify]: Simplify (+ 1 0) into 1 8.839 * [backup-simplify]: Simplify (sqrt 1) into 1 8.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.840 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.840 * [backup-simplify]: Simplify (+ 0 0) into 0 8.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.841 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 8.841 * [taylor]: Taking taylor expansion of (/ -1 z) in x 8.841 * [taylor]: Taking taylor expansion of -1 in x 8.841 * [backup-simplify]: Simplify -1 into -1 8.841 * [taylor]: Taking taylor expansion of z in x 8.841 * [backup-simplify]: Simplify z into z 8.841 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 8.841 * [taylor]: Taking taylor expansion of (/ -1 z) in x 8.841 * [taylor]: Taking taylor expansion of -1 in x 8.841 * [backup-simplify]: Simplify -1 into -1 8.841 * [taylor]: Taking taylor expansion of z in x 8.841 * [backup-simplify]: Simplify z into z 8.841 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 8.841 * [backup-simplify]: Simplify (* 1 1) into 1 8.842 * [backup-simplify]: Simplify (+ 1 0) into 1 8.842 * [backup-simplify]: Simplify (sqrt 1) into 1 8.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.843 * [backup-simplify]: Simplify (+ 0 0) into 0 8.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.843 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 8.843 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 8.843 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 8.843 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 8.843 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 8.843 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.843 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 8.843 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.843 * [taylor]: Taking taylor expansion of -1 in x 8.843 * [backup-simplify]: Simplify -1 into -1 8.843 * [taylor]: Taking taylor expansion of x in x 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify 1 into 1 8.844 * [backup-simplify]: Simplify (/ -1 1) into -1 8.844 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.844 * [taylor]: Taking taylor expansion of -1 in x 8.844 * [backup-simplify]: Simplify -1 into -1 8.844 * [taylor]: Taking taylor expansion of x in x 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * [backup-simplify]: Simplify 1 into 1 8.844 * [backup-simplify]: Simplify (/ -1 1) into -1 8.844 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 8.844 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.844 * [taylor]: Taking taylor expansion of -1 in x 8.844 * [backup-simplify]: Simplify -1 into -1 8.844 * [taylor]: Taking taylor expansion of y in x 8.844 * [backup-simplify]: Simplify y into y 8.844 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.844 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.844 * [taylor]: Taking taylor expansion of -1 in x 8.844 * [backup-simplify]: Simplify -1 into -1 8.844 * [taylor]: Taking taylor expansion of y in x 8.844 * [backup-simplify]: Simplify y into y 8.844 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.845 * [backup-simplify]: Simplify (* -1 -1) into 1 8.845 * [backup-simplify]: Simplify (+ 1 0) into 1 8.845 * [backup-simplify]: Simplify (sqrt 1) into 1 8.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.847 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.847 * [backup-simplify]: Simplify (+ 0 0) into 0 8.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.847 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 8.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.848 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 8.848 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.848 * [taylor]: Taking taylor expansion of -1 in x 8.848 * [backup-simplify]: Simplify -1 into -1 8.848 * [taylor]: Taking taylor expansion of x in x 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 1 into 1 8.848 * [backup-simplify]: Simplify (/ -1 1) into -1 8.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.848 * [taylor]: Taking taylor expansion of -1 in x 8.848 * [backup-simplify]: Simplify -1 into -1 8.848 * [taylor]: Taking taylor expansion of x in x 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 1 into 1 8.848 * [backup-simplify]: Simplify (/ -1 1) into -1 8.848 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 8.848 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.848 * [taylor]: Taking taylor expansion of -1 in x 8.848 * [backup-simplify]: Simplify -1 into -1 8.848 * [taylor]: Taking taylor expansion of y in x 8.848 * [backup-simplify]: Simplify y into y 8.849 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.849 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.849 * [taylor]: Taking taylor expansion of -1 in x 8.849 * [backup-simplify]: Simplify -1 into -1 8.849 * [taylor]: Taking taylor expansion of y in x 8.849 * [backup-simplify]: Simplify y into y 8.849 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.849 * [backup-simplify]: Simplify (* -1 -1) into 1 8.849 * [backup-simplify]: Simplify (+ 1 0) into 1 8.849 * [backup-simplify]: Simplify (sqrt 1) into 1 8.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.851 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.851 * [backup-simplify]: Simplify (+ 0 0) into 0 8.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.852 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 8.852 * [taylor]: Taking taylor expansion of (/ -1 z) in x 8.852 * [taylor]: Taking taylor expansion of -1 in x 8.852 * [backup-simplify]: Simplify -1 into -1 8.852 * [taylor]: Taking taylor expansion of z in x 8.852 * [backup-simplify]: Simplify z into z 8.852 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 8.852 * [taylor]: Taking taylor expansion of (/ -1 z) in x 8.852 * [taylor]: Taking taylor expansion of -1 in x 8.852 * [backup-simplify]: Simplify -1 into -1 8.852 * [taylor]: Taking taylor expansion of z in x 8.852 * [backup-simplify]: Simplify z into z 8.852 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 8.852 * [backup-simplify]: Simplify (* 1 1) into 1 8.852 * [backup-simplify]: Simplify (+ 1 0) into 1 8.853 * [backup-simplify]: Simplify (sqrt 1) into 1 8.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.853 * [backup-simplify]: Simplify (+ 0 0) into 0 8.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.854 * [taylor]: Taking taylor expansion of 1 in y 8.854 * [backup-simplify]: Simplify 1 into 1 8.854 * [taylor]: Taking taylor expansion of 0 in y 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [taylor]: Taking taylor expansion of 1 in z 8.854 * [backup-simplify]: Simplify 1 into 1 8.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.856 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.856 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 8.856 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.857 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.859 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.859 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 8.859 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.860 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.861 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 8.861 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2)) 8.861 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 8.862 * [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)))) 8.862 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 8.862 * [taylor]: Taking taylor expansion of 1/2 in y 8.862 * [backup-simplify]: Simplify 1/2 into 1/2 8.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 8.862 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 8.862 * [taylor]: Taking taylor expansion of (pow z 2) in y 8.862 * [taylor]: Taking taylor expansion of z in y 8.862 * [backup-simplify]: Simplify z into z 8.862 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.862 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 8.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.862 * [taylor]: Taking taylor expansion of y in y 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify 1 into 1 8.863 * [backup-simplify]: Simplify (* 1 1) into 1 8.863 * [backup-simplify]: Simplify (/ 1 1) into 1 8.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.864 * [backup-simplify]: Simplify (+ 0 0) into 0 8.864 * [backup-simplify]: Simplify (+ 0 1) into 1 8.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.865 * [taylor]: Taking taylor expansion of 0 in z 8.865 * [backup-simplify]: Simplify 0 into 0 8.865 * [taylor]: Taking taylor expansion of 0 in z 8.865 * [backup-simplify]: Simplify 0 into 0 8.865 * [taylor]: Taking taylor expansion of 0 in z 8.865 * [backup-simplify]: Simplify 0 into 0 8.865 * [backup-simplify]: Simplify 1 into 1 8.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.868 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.868 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 8.868 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 8.868 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 8.869 * [backup-simplify]: Simplify (+ 0 0) into 0 8.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.872 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.872 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 8.872 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 8.872 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 8.873 * [backup-simplify]: Simplify (+ 0 0) into 0 8.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 8.874 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 8.874 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 8.874 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0 8.874 * [backup-simplify]: Simplify (+ 0 0) into 0 8.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 8.875 * [taylor]: Taking taylor expansion of 0 in y 8.875 * [backup-simplify]: Simplify 0 into 0 8.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.876 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 8.877 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 8.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 8.877 * [taylor]: Taking taylor expansion of 1/2 in z 8.877 * [backup-simplify]: Simplify 1/2 into 1/2 8.877 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 8.877 * [taylor]: Taking taylor expansion of (pow z 2) in z 8.877 * [taylor]: Taking taylor expansion of z in z 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 1 into 1 8.877 * [backup-simplify]: Simplify (* 1 1) into 1 8.878 * [backup-simplify]: Simplify (/ 1 1) into 1 8.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [taylor]: Taking taylor expansion of 0 in z 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [taylor]: Taking taylor expansion of 0 in z 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify 0 into 0 8.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.881 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 8.881 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.882 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.882 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 8.882 * [backup-simplify]: Simplify (+ 0 0) into 0 8.883 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 8.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 8.886 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.886 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.887 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 8.887 * [backup-simplify]: Simplify (+ 0 0) into 0 8.888 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 8.890 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 8.890 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 8.890 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 8.891 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0 8.891 * [backup-simplify]: Simplify (+ 0 0) into 0 8.893 * [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)))))) 8.893 * [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 8.893 * [taylor]: Taking taylor expansion of -1/2 in y 8.893 * [backup-simplify]: Simplify -1/2 into -1/2 8.893 * [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 8.893 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 8.893 * [taylor]: Taking taylor expansion of 1/4 in y 8.893 * [backup-simplify]: Simplify 1/4 into 1/4 8.893 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 8.893 * [taylor]: Taking taylor expansion of (pow z 4) in y 8.893 * [taylor]: Taking taylor expansion of z in y 8.893 * [backup-simplify]: Simplify z into z 8.893 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.894 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 8.894 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 8.894 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 8.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 8.894 * [taylor]: Taking taylor expansion of 1/2 in y 8.894 * [backup-simplify]: Simplify 1/2 into 1/2 8.894 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 8.894 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 8.894 * [taylor]: Taking taylor expansion of (pow z 2) in y 8.894 * [taylor]: Taking taylor expansion of z in y 8.894 * [backup-simplify]: Simplify z into z 8.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.894 * [taylor]: Taking taylor expansion of y in y 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 1 into 1 8.894 * [backup-simplify]: Simplify (* z z) into (pow z 2) 8.895 * [backup-simplify]: Simplify (* 1 1) into 1 8.895 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 8.895 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 8.895 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 8.895 * [taylor]: Taking taylor expansion of 1/4 in y 8.895 * [backup-simplify]: Simplify 1/4 into 1/4 8.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 8.895 * [taylor]: Taking taylor expansion of (pow y 4) in y 8.895 * [taylor]: Taking taylor expansion of y in y 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [backup-simplify]: Simplify (* 1 1) into 1 8.896 * [backup-simplify]: Simplify (* 1 1) into 1 8.896 * [backup-simplify]: Simplify (/ 1 1) into 1 8.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.896 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 8.897 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 8.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 8.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 8.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.908 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.908 * [backup-simplify]: Simplify (+ 0 0) into 0 8.909 * [backup-simplify]: Simplify (+ 0 0) into 0 8.909 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 8.910 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 8.910 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 8.910 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 8.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.911 * [backup-simplify]: Simplify (+ 0 0) into 0 8.911 * [backup-simplify]: Simplify (+ 0 0) into 0 8.912 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.912 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.912 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.913 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 8.913 * [taylor]: Taking taylor expansion of 0 in z 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [taylor]: Taking taylor expansion of 0 in z 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 8.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 8.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.915 * [backup-simplify]: Simplify (+ 0 0) into 0 8.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 8.916 * [taylor]: Taking taylor expansion of 0 in z 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [taylor]: Taking taylor expansion of 0 in z 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [taylor]: Taking taylor expansion of 0 in z 8.916 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 8.918 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 8.918 * [backup-simplify]: Simplify (hypot x y) into (hypot x y) 8.918 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 8.918 * [taylor]: Taking taylor expansion of (hypot x y) in y 8.918 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.918 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 8.918 * [taylor]: Taking taylor expansion of (* x x) in y 8.918 * [taylor]: Taking taylor expansion of x in y 8.918 * [backup-simplify]: Simplify x into x 8.918 * [taylor]: Taking taylor expansion of x in y 8.918 * [backup-simplify]: Simplify x into x 8.919 * [taylor]: Taking taylor expansion of (* y y) in y 8.919 * [taylor]: Taking taylor expansion of y in y 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify 1 into 1 8.919 * [taylor]: Taking taylor expansion of y in y 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify 1 into 1 8.919 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.919 * [backup-simplify]: Simplify (* 0 0) into 0 8.919 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.919 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.919 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.920 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.920 * [backup-simplify]: Simplify (+ 0 0) into 0 8.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.920 * [taylor]: Taking taylor expansion of (hypot x y) in x 8.920 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.920 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 8.920 * [taylor]: Taking taylor expansion of (* x x) in x 8.920 * [taylor]: Taking taylor expansion of x in x 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify 1 into 1 8.920 * [taylor]: Taking taylor expansion of x in x 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify 1 into 1 8.920 * [taylor]: Taking taylor expansion of (* y y) in x 8.920 * [taylor]: Taking taylor expansion of y in x 8.920 * [backup-simplify]: Simplify y into y 8.920 * [taylor]: Taking taylor expansion of y in x 8.920 * [backup-simplify]: Simplify y into y 8.921 * [backup-simplify]: Simplify (* 0 0) into 0 8.921 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.921 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.921 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.921 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.922 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.922 * [backup-simplify]: Simplify (+ 0 0) into 0 8.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.922 * [taylor]: Taking taylor expansion of (hypot x y) in x 8.922 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 8.922 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 8.922 * [taylor]: Taking taylor expansion of (* x x) in x 8.922 * [taylor]: Taking taylor expansion of x in x 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 1 into 1 8.922 * [taylor]: Taking taylor expansion of x in x 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 1 into 1 8.922 * [taylor]: Taking taylor expansion of (* y y) in x 8.922 * [taylor]: Taking taylor expansion of y in x 8.922 * [backup-simplify]: Simplify y into y 8.922 * [taylor]: Taking taylor expansion of y in x 8.922 * [backup-simplify]: Simplify y into y 8.923 * [backup-simplify]: Simplify (* 0 0) into 0 8.923 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.923 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.923 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.923 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.923 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.924 * [backup-simplify]: Simplify (+ 0 0) into 0 8.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.924 * [taylor]: Taking taylor expansion of y in y 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 1 into 1 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [taylor]: Taking taylor expansion of 0 in y 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 1 into 1 8.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.925 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.925 * [backup-simplify]: Simplify (+ 1 0) into 1 8.926 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 8.926 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 8.926 * [taylor]: Taking taylor expansion of 1/2 in y 8.926 * [backup-simplify]: Simplify 1/2 into 1/2 8.926 * [taylor]: Taking taylor expansion of y in y 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.928 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.928 * [backup-simplify]: Simplify (+ 0 0) into 0 8.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 8.928 * [taylor]: Taking taylor expansion of 0 in y 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 8.929 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y)) 8.929 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 8.929 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 8.929 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.929 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 8.929 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 8.929 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.929 * [taylor]: Taking taylor expansion of x in y 8.929 * [backup-simplify]: Simplify x into x 8.930 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.930 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.930 * [taylor]: Taking taylor expansion of x in y 8.930 * [backup-simplify]: Simplify x into x 8.930 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.930 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 8.930 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.930 * [taylor]: Taking taylor expansion of y in y 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (/ 1 1) into 1 8.930 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.930 * [taylor]: Taking taylor expansion of y in y 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (/ 1 1) into 1 8.931 * [backup-simplify]: Simplify (* 1 1) into 1 8.931 * [backup-simplify]: Simplify (+ 0 1) into 1 8.931 * [backup-simplify]: Simplify (sqrt 1) into 1 8.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.933 * [backup-simplify]: Simplify (+ 0 0) into 0 8.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.933 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 8.933 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.933 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 8.933 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.933 * [taylor]: Taking taylor expansion of x in x 8.933 * [backup-simplify]: Simplify 0 into 0 8.934 * [backup-simplify]: Simplify 1 into 1 8.934 * [backup-simplify]: Simplify (/ 1 1) into 1 8.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.934 * [taylor]: Taking taylor expansion of x in x 8.934 * [backup-simplify]: Simplify 0 into 0 8.934 * [backup-simplify]: Simplify 1 into 1 8.934 * [backup-simplify]: Simplify (/ 1 1) into 1 8.934 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 8.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.934 * [taylor]: Taking taylor expansion of y in x 8.934 * [backup-simplify]: Simplify y into y 8.934 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.934 * [taylor]: Taking taylor expansion of y in x 8.934 * [backup-simplify]: Simplify y into y 8.934 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.935 * [backup-simplify]: Simplify (* 1 1) into 1 8.935 * [backup-simplify]: Simplify (+ 1 0) into 1 8.935 * [backup-simplify]: Simplify (sqrt 1) into 1 8.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.937 * [backup-simplify]: Simplify (+ 0 0) into 0 8.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.937 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 8.937 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 8.937 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 8.937 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.937 * [taylor]: Taking taylor expansion of x in x 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [backup-simplify]: Simplify 1 into 1 8.938 * [backup-simplify]: Simplify (/ 1 1) into 1 8.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.938 * [taylor]: Taking taylor expansion of x in x 8.938 * [backup-simplify]: Simplify 0 into 0 8.938 * [backup-simplify]: Simplify 1 into 1 8.938 * [backup-simplify]: Simplify (/ 1 1) into 1 8.938 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 8.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.938 * [taylor]: Taking taylor expansion of y in x 8.938 * [backup-simplify]: Simplify y into y 8.938 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.938 * [taylor]: Taking taylor expansion of y in x 8.938 * [backup-simplify]: Simplify y into y 8.938 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.939 * [backup-simplify]: Simplify (* 1 1) into 1 8.939 * [backup-simplify]: Simplify (+ 1 0) into 1 8.939 * [backup-simplify]: Simplify (sqrt 1) into 1 8.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.941 * [backup-simplify]: Simplify (+ 0 0) into 0 8.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.942 * [taylor]: Taking taylor expansion of 1 in y 8.942 * [backup-simplify]: Simplify 1 into 1 8.942 * [taylor]: Taking taylor expansion of 0 in y 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.945 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 8.945 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.946 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.946 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.946 * [taylor]: Taking taylor expansion of 1/2 in y 8.946 * [backup-simplify]: Simplify 1/2 into 1/2 8.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.946 * [taylor]: Taking taylor expansion of y in y 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (* 1 1) into 1 8.947 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.947 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.950 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 8.950 * [backup-simplify]: Simplify (+ 0 0) into 0 8.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.951 * [taylor]: Taking taylor expansion of 0 in y 8.951 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.953 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 8.953 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y)) 8.953 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 8.953 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 8.953 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.953 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 8.953 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 8.953 * [taylor]: Taking taylor expansion of (/ -1 x) in y 8.953 * [taylor]: Taking taylor expansion of -1 in y 8.953 * [backup-simplify]: Simplify -1 into -1 8.953 * [taylor]: Taking taylor expansion of x in y 8.953 * [backup-simplify]: Simplify x into x 8.953 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 8.953 * [taylor]: Taking taylor expansion of (/ -1 x) in y 8.953 * [taylor]: Taking taylor expansion of -1 in y 8.954 * [backup-simplify]: Simplify -1 into -1 8.954 * [taylor]: Taking taylor expansion of x in y 8.954 * [backup-simplify]: Simplify x into x 8.954 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 8.954 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 8.954 * [taylor]: Taking taylor expansion of (/ -1 y) in y 8.954 * [taylor]: Taking taylor expansion of -1 in y 8.954 * [backup-simplify]: Simplify -1 into -1 8.954 * [taylor]: Taking taylor expansion of y in y 8.954 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify 1 into 1 8.954 * [backup-simplify]: Simplify (/ -1 1) into -1 8.954 * [taylor]: Taking taylor expansion of (/ -1 y) in y 8.954 * [taylor]: Taking taylor expansion of -1 in y 8.954 * [backup-simplify]: Simplify -1 into -1 8.954 * [taylor]: Taking taylor expansion of y in y 8.954 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify (/ -1 1) into -1 8.955 * [backup-simplify]: Simplify (* -1 -1) into 1 8.956 * [backup-simplify]: Simplify (+ 0 1) into 1 8.956 * [backup-simplify]: Simplify (sqrt 1) into 1 8.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.958 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.959 * [backup-simplify]: Simplify (+ 0 0) into 0 8.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.959 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 8.960 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.960 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 8.960 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.960 * [taylor]: Taking taylor expansion of -1 in x 8.960 * [backup-simplify]: Simplify -1 into -1 8.960 * [taylor]: Taking taylor expansion of x in x 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify (/ -1 1) into -1 8.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.960 * [taylor]: Taking taylor expansion of -1 in x 8.960 * [backup-simplify]: Simplify -1 into -1 8.960 * [taylor]: Taking taylor expansion of x in x 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.961 * [backup-simplify]: Simplify (/ -1 1) into -1 8.961 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 8.961 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.961 * [taylor]: Taking taylor expansion of -1 in x 8.961 * [backup-simplify]: Simplify -1 into -1 8.961 * [taylor]: Taking taylor expansion of y in x 8.961 * [backup-simplify]: Simplify y into y 8.961 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.961 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.961 * [taylor]: Taking taylor expansion of -1 in x 8.961 * [backup-simplify]: Simplify -1 into -1 8.961 * [taylor]: Taking taylor expansion of y in x 8.961 * [backup-simplify]: Simplify y into y 8.961 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.962 * [backup-simplify]: Simplify (* -1 -1) into 1 8.962 * [backup-simplify]: Simplify (+ 1 0) into 1 8.963 * [backup-simplify]: Simplify (sqrt 1) into 1 8.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.965 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.965 * [backup-simplify]: Simplify (+ 0 0) into 0 8.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.966 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 8.966 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 8.966 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 8.966 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.966 * [taylor]: Taking taylor expansion of -1 in x 8.966 * [backup-simplify]: Simplify -1 into -1 8.966 * [taylor]: Taking taylor expansion of x in x 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify 1 into 1 8.966 * [backup-simplify]: Simplify (/ -1 1) into -1 8.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.967 * [taylor]: Taking taylor expansion of -1 in x 8.967 * [backup-simplify]: Simplify -1 into -1 8.967 * [taylor]: Taking taylor expansion of x in x 8.967 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify 1 into 1 8.967 * [backup-simplify]: Simplify (/ -1 1) into -1 8.967 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 8.967 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.967 * [taylor]: Taking taylor expansion of -1 in x 8.967 * [backup-simplify]: Simplify -1 into -1 8.967 * [taylor]: Taking taylor expansion of y in x 8.967 * [backup-simplify]: Simplify y into y 8.967 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.967 * [taylor]: Taking taylor expansion of (/ -1 y) in x 8.967 * [taylor]: Taking taylor expansion of -1 in x 8.967 * [backup-simplify]: Simplify -1 into -1 8.967 * [taylor]: Taking taylor expansion of y in x 8.967 * [backup-simplify]: Simplify y into y 8.967 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 8.968 * [backup-simplify]: Simplify (* -1 -1) into 1 8.968 * [backup-simplify]: Simplify (+ 1 0) into 1 8.969 * [backup-simplify]: Simplify (sqrt 1) into 1 8.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.971 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.971 * [backup-simplify]: Simplify (+ 0 0) into 0 8.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.972 * [taylor]: Taking taylor expansion of 1 in y 8.972 * [backup-simplify]: Simplify 1 into 1 8.972 * [taylor]: Taking taylor expansion of 0 in y 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 1 into 1 8.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.974 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.975 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 8.975 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.976 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.976 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.976 * [taylor]: Taking taylor expansion of 1/2 in y 8.976 * [backup-simplify]: Simplify 1/2 into 1/2 8.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.976 * [taylor]: Taking taylor expansion of y in y 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.977 * [backup-simplify]: Simplify (* 1 1) into 1 8.977 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.981 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.981 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 8.982 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 8.982 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 8.982 * [backup-simplify]: Simplify (+ 0 0) into 0 8.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.983 * [taylor]: Taking taylor expansion of 0 in y 8.983 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 8.985 * * * [progress]: simplifying candidates 8.986 * [simplify]: Simplifying: (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (+ (* (hypot x y) (hypot x y)) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (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)) z x (* -1 x) y x (* -1 x) 8.986 * * [simplify]: Extracting # 0 : cost 0 8.986 * * [simplify]: Extracting # 1 : cost 0 8.986 * * [simplify]: Extracting # 2 : cost 0 8.986 * * [simplify]: Extracting # 3 : cost 0 8.986 * * [simplify]: Extracting # 4 : cost 0 8.987 * * [simplify]: iteration 0 : 30 enodes (cost 148 ) 8.994 * * [simplify]: Extracting # 0 : cost 0 8.994 * * [simplify]: Extracting # 1 : cost 0 8.994 * * [simplify]: iteration 1 : 38 enodes (cost 144 ) 9.003 * * [simplify]: Extracting # 0 : cost 0 9.003 * * [simplify]: Extracting # 1 : cost 0 9.003 * * [simplify]: Extracting # 2 : cost 0 9.003 * * [simplify]: iteration 2 : 43 enodes (cost 128 ) 9.013 * * [simplify]: Extracting # 0 : cost 0 9.013 * * [simplify]: Extracting # 1 : cost 0 9.013 * * [simplify]: Extracting # 2 : cost 0 9.014 * * [simplify]: Extracting # 3 : cost 0 9.014 * * [simplify]: Extracting # 4 : cost 0 9.014 * * [simplify]: iteration 3 : 50 enodes (cost 128 ) 9.030 * * [simplify]: Extracting # 0 : cost 0 9.031 * * [simplify]: Extracting # 1 : cost 0 9.031 * * [simplify]: Extracting # 2 : cost 0 9.031 * * [simplify]: Extracting # 3 : cost 0 9.031 * * [simplify]: Extracting # 4 : cost 0 9.031 * * [simplify]: iteration 4 : 59 enodes (cost 128 ) 9.046 * * [simplify]: Extracting # 0 : cost 0 9.046 * * [simplify]: Extracting # 1 : cost 0 9.046 * * [simplify]: Extracting # 2 : cost 0 9.046 * * [simplify]: Extracting # 3 : cost 0 9.046 * * [simplify]: iteration 5 : 76 enodes (cost 128 ) 9.059 * * [simplify]: Extracting # 0 : cost 0 9.059 * * [simplify]: Extracting # 1 : cost 0 9.059 * * [simplify]: Extracting # 2 : cost 0 9.059 * * [simplify]: Extracting # 3 : cost 0 9.059 * * [simplify]: Extracting # 4 : cost 0 9.060 * * [simplify]: iteration 6 : 115 enodes (cost 128 ) 9.088 * * [simplify]: Extracting # 0 : cost 0 9.088 * * [simplify]: Extracting # 1 : cost 0 9.089 * * [simplify]: Extracting # 2 : cost 0 9.089 * * [simplify]: Extracting # 3 : cost 0 9.089 * * [simplify]: Extracting # 4 : cost 0 9.089 * * [simplify]: iteration 7 : 252 enodes (cost 128 ) 9.237 * * [simplify]: Extracting # 0 : cost 0 9.238 * * [simplify]: Extracting # 1 : cost 0 9.239 * * [simplify]: Extracting # 2 : cost 0 9.239 * * [simplify]: Extracting # 3 : cost 0 9.240 * * [simplify]: iteration 8 : 816 enodes (cost 128 ) 10.963 * * [simplify]: Extracting # 0 : cost 0 10.966 * * [simplify]: Extracting # 1 : cost 0 10.968 * * [simplify]: Extracting # 2 : cost 0 10.971 * * [simplify]: Extracting # 3 : cost 0 10.973 * * [simplify]: Extracting # 4 : cost 0 10.976 * * [simplify]: iteration 9 : 3627 enodes (cost 128 ) 12.800 * * [simplify]: Extracting # 0 : cost 0 12.804 * * [simplify]: Extracting # 1 : cost 0 12.809 * * [simplify]: Extracting # 2 : cost 0 12.814 * * [simplify]: Extracting # 3 : cost 0 12.818 * * [simplify]: iteration done: 5000 enodes (cost 128 ) 12.819 * [simplify]: Simplified to: (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma (hypot x y) (hypot x y) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (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)) z x (- x) y x (- x) 12.819 * * * [progress]: adding candidates to table 12.916 * [progress]: [Phase 3 of 3] Extracting. 12.920 * [simplify]: Simplifying: (hypot (hypot x y) z) 12.920 * * [simplify]: Extracting # 0 : cost 0 12.921 * * [simplify]: Extracting # 1 : cost 0 12.921 * * [simplify]: Extracting # 2 : cost 0 12.921 * * [simplify]: Extracting # 3 : cost 0 12.921 * * [simplify]: Extracting # 4 : cost 0 12.921 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 12.921 * * [simplify]: Extracting # 0 : cost 0 12.921 * * [simplify]: iteration done: 5 enodes (cost 5 ) 12.921 * [simplify]: Simplified to: (hypot (hypot x y) z) 13.993 * [regime-testing]: Baseline error score: 0.005625703212901613 13.997 * [regime-testing]: Oracle error score: 0.005625703212901613 13.997 * [regime-testing]: End program error score: 0.005625703212901613 14.040 * [regime-testing]: Target error score: 25.41231036861523