87.550 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.104 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.172 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.172 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.172 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.172 * [taylor]: Taking taylor expansion of x in z 0.172 * [backup-simplify]: Simplify x into x 0.172 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.172 * [taylor]: Taking taylor expansion of y in z 0.172 * [backup-simplify]: Simplify y into y 0.172 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.172 * [taylor]: Taking taylor expansion of z in z 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.172 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.173 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.173 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.173 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.173 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.173 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) 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 x 2) (pow y 2))))) into 0 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.175 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [backup-simplify]: Simplify x into x 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 (* x x) into (pow x 2) 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 (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.176 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.176 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.176 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [backup-simplify]: Simplify y into y 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.177 * [taylor]: Taking taylor expansion of z in x 0.177 * [backup-simplify]: Simplify z into z 0.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.178 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.178 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.178 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.178 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.179 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.179 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.180 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [backup-simplify]: Simplify y into y 0.180 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.180 * [taylor]: Taking taylor expansion of z in x 0.180 * [backup-simplify]: Simplify z into z 0.180 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.180 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.180 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.181 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.181 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.181 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 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 (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.182 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.183 * [taylor]: Taking taylor expansion of z in y 0.183 * [backup-simplify]: Simplify z into z 0.183 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.183 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.183 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.183 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.184 * [taylor]: Taking taylor expansion of z in z 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.186 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [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))))) 0.188 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.188 * [taylor]: Taking taylor expansion of 1/2 in y 0.188 * [backup-simplify]: Simplify 1/2 into 1/2 0.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.188 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.188 * [taylor]: Taking taylor expansion of z in y 0.188 * [backup-simplify]: Simplify z into z 0.188 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.188 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.188 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.189 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.189 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.190 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.190 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.190 * [taylor]: Taking taylor expansion of 1/2 in z 0.190 * [backup-simplify]: Simplify 1/2 into 1/2 0.190 * [taylor]: Taking taylor expansion of z in z 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.193 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.193 * [taylor]: Taking taylor expansion of 1/2 in z 0.193 * [backup-simplify]: Simplify 1/2 into 1/2 0.193 * [taylor]: Taking taylor expansion of z in z 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.196 * [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))))) 0.196 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.196 * [taylor]: Taking taylor expansion of x in z 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 z 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.196 * [taylor]: Taking taylor expansion of z in z 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.197 * [taylor]: Taking taylor expansion of y in z 0.197 * [backup-simplify]: Simplify y into y 0.197 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.197 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (+ 0 1) into 1 0.198 * [backup-simplify]: Simplify (sqrt 1) into 1 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [backup-simplify]: Simplify x into x 0.200 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.200 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.200 * [taylor]: Taking taylor expansion of z in y 0.200 * [backup-simplify]: Simplify z into z 0.200 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.200 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (+ 0 1) into 1 0.201 * [backup-simplify]: Simplify (+ 0 1) into 1 0.202 * [backup-simplify]: Simplify (sqrt 1) into 1 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [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 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [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 0.205 * [backup-simplify]: Simplify (sqrt 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.207 * [taylor]: Taking taylor expansion of z in x 0.207 * [backup-simplify]: Simplify z into z 0.207 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.207 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [backup-simplify]: Simplify y into y 0.208 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (sqrt 1) into 1 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.210 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [taylor]: Taking taylor expansion of 1 in z 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.211 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.212 * [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)))) 0.212 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.213 * [taylor]: Taking taylor expansion of 1/2 in y 0.213 * [backup-simplify]: Simplify 1/2 into 1/2 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.213 * [taylor]: Taking taylor expansion of z in y 0.213 * [backup-simplify]: Simplify z into z 0.213 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 1) into 1 0.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [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 0.219 * [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 0.223 * [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)) 0.224 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.224 * [taylor]: Taking taylor expansion of 1/2 in z 0.224 * [backup-simplify]: Simplify 1/2 into 1/2 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.224 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.224 * [taylor]: Taking taylor expansion of z in z 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [taylor]: Taking taylor expansion of 0 in z 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [taylor]: Taking taylor expansion of 0 in z 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.230 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [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)))))) 0.232 * [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 0.232 * [taylor]: Taking taylor expansion of -1/2 in y 0.232 * [backup-simplify]: Simplify -1/2 into -1/2 0.233 * [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 0.233 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.233 * [taylor]: Taking taylor expansion of 1/4 in y 0.233 * [backup-simplify]: Simplify 1/4 into 1/4 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.233 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.233 * [taylor]: Taking taylor expansion of z in y 0.233 * [backup-simplify]: Simplify z into z 0.233 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.233 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.233 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.233 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.233 * [taylor]: Taking taylor expansion of 1/2 in y 0.233 * [backup-simplify]: Simplify 1/2 into 1/2 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.233 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.233 * [taylor]: Taking taylor expansion of z in y 0.233 * [backup-simplify]: Simplify z into z 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.234 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.234 * [taylor]: Taking taylor expansion of 1/4 in y 0.234 * [backup-simplify]: Simplify 1/4 into 1/4 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.234 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.237 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.251 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.251 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.251 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.252 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.253 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.254 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.255 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.255 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.258 * [taylor]: Taking taylor expansion of 0 in z 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [taylor]: Taking taylor expansion of 0 in z 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [taylor]: Taking taylor expansion of 0 in z 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.262 * [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))))) 0.262 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.262 * [taylor]: Taking taylor expansion of x in z 0.262 * [backup-simplify]: Simplify x into x 0.262 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.262 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.262 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.263 * [taylor]: Taking taylor expansion of z in z 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.263 * [taylor]: Taking taylor expansion of y in z 0.263 * [backup-simplify]: Simplify y into y 0.263 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.264 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (+ 0 1) into 1 0.265 * [backup-simplify]: Simplify (sqrt 1) into 1 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [backup-simplify]: Simplify x into x 0.268 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.268 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.268 * [taylor]: Taking taylor expansion of z in y 0.268 * [backup-simplify]: Simplify z into z 0.268 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.268 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.270 * [backup-simplify]: Simplify (sqrt 1) into 1 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.273 * [taylor]: Taking taylor expansion of z in x 0.273 * [backup-simplify]: Simplify z into z 0.273 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.273 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [backup-simplify]: Simplify y into y 0.274 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.274 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.274 * [backup-simplify]: Simplify (+ 1 0) into 1 0.274 * [backup-simplify]: Simplify (sqrt 1) into 1 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [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 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [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 0.277 * [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)) 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [backup-simplify]: Simplify (sqrt 1) into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.281 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [taylor]: Taking taylor expansion of 1 in z 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.283 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.284 * [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)))) 0.284 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.284 * [taylor]: Taking taylor expansion of 1/2 in y 0.284 * [backup-simplify]: Simplify 1/2 into 1/2 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.285 * [taylor]: Taking taylor expansion of z in y 0.285 * [backup-simplify]: Simplify z into z 0.285 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.285 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 1) into 1 0.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.290 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.294 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.294 * [taylor]: Taking taylor expansion of 1/2 in z 0.294 * [backup-simplify]: Simplify 1/2 into 1/2 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.294 * [taylor]: Taking taylor expansion of z in z 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [taylor]: Taking taylor expansion of 0 in z 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [taylor]: Taking taylor expansion of 0 in z 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [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)))))) 0.302 * [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 0.302 * [taylor]: Taking taylor expansion of -1/2 in y 0.303 * [backup-simplify]: Simplify -1/2 into -1/2 0.303 * [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 0.303 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.303 * [taylor]: Taking taylor expansion of 1/4 in y 0.303 * [backup-simplify]: Simplify 1/4 into 1/4 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.303 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.303 * [taylor]: Taking taylor expansion of z in y 0.303 * [backup-simplify]: Simplify z into z 0.303 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.303 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.303 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.303 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.303 * [taylor]: Taking taylor expansion of 1/2 in y 0.303 * [backup-simplify]: Simplify 1/2 into 1/2 0.303 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.303 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.303 * [taylor]: Taking taylor expansion of z in y 0.303 * [backup-simplify]: Simplify z into z 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.304 * [taylor]: Taking taylor expansion of 1/4 in y 0.304 * [backup-simplify]: Simplify 1/4 into 1/4 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.304 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.306 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.316 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.316 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.317 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.318 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.318 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.319 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in z 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [taylor]: Taking taylor expansion of 0 in z 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) 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 * [taylor]: Taking taylor expansion of 0 in z 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.326 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.326 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.326 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.326 * [taylor]: Taking taylor expansion of x in z 0.326 * [backup-simplify]: Simplify x into x 0.326 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.326 * [taylor]: Taking taylor expansion of y in z 0.326 * [backup-simplify]: Simplify y into y 0.326 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.326 * [taylor]: Taking taylor expansion of z in z 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [backup-simplify]: Simplify x into x 0.326 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.326 * [taylor]: Taking taylor expansion of z in y 0.326 * [backup-simplify]: Simplify z into z 0.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [backup-simplify]: Simplify y into y 0.327 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.327 * [taylor]: Taking taylor expansion of z in x 0.327 * [backup-simplify]: Simplify z into z 0.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [backup-simplify]: Simplify y into y 0.327 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.327 * [taylor]: Taking taylor expansion of z in x 0.327 * [backup-simplify]: Simplify z into z 0.327 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.327 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.327 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.328 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.328 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.328 * [taylor]: Taking taylor expansion of z in y 0.328 * [backup-simplify]: Simplify z into z 0.328 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.328 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.328 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.328 * [taylor]: Taking taylor expansion of z in z 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.328 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [taylor]: Taking taylor expansion of 0 in z 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in z 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.331 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (+ 1 0) into 1 0.331 * [taylor]: Taking taylor expansion of 1 in y 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of 1 in z 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of 0 in z 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.333 * [backup-simplify]: Simplify (+ 1 0) into 1 0.333 * [taylor]: Taking taylor expansion of 1 in z 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.335 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.335 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.335 * [taylor]: Taking taylor expansion of x in z 0.335 * [backup-simplify]: Simplify x into x 0.335 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.335 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.335 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.335 * [taylor]: Taking taylor expansion of z in z 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.336 * [taylor]: Taking taylor expansion of y in z 0.336 * [backup-simplify]: Simplify y into y 0.336 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.336 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [backup-simplify]: Simplify x into x 0.336 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.336 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.336 * [taylor]: Taking taylor expansion of z in y 0.336 * [backup-simplify]: Simplify z into z 0.336 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.337 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.338 * [taylor]: Taking taylor expansion of z in x 0.338 * [backup-simplify]: Simplify z into z 0.338 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.338 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [backup-simplify]: Simplify y into y 0.338 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.339 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.339 * [taylor]: Taking taylor expansion of z in x 0.339 * [backup-simplify]: Simplify z into z 0.340 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.340 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [backup-simplify]: Simplify y into y 0.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.340 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.340 * [backup-simplify]: Simplify (+ 1 0) into 1 0.340 * [taylor]: Taking taylor expansion of 1 in y 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.344 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.344 * [taylor]: Taking taylor expansion of z in y 0.344 * [backup-simplify]: Simplify z into z 0.344 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [backup-simplify]: Simplify (+ 0 1) into 1 0.345 * [taylor]: Taking taylor expansion of 1 in z 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of 1 in z 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.347 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [taylor]: Taking taylor expansion of 0 in z 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [taylor]: Taking taylor expansion of 0 in z 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [taylor]: Taking taylor expansion of 0 in z 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.353 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.355 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.355 * [taylor]: Taking taylor expansion of z in z 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of 0 in z 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [taylor]: Taking taylor expansion of 0 in z 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.358 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.358 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.358 * [taylor]: Taking taylor expansion of x in z 0.358 * [backup-simplify]: Simplify x into x 0.358 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.358 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.358 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.358 * [taylor]: Taking taylor expansion of z in z 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.359 * [taylor]: Taking taylor expansion of y in z 0.359 * [backup-simplify]: Simplify y into y 0.359 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.359 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [backup-simplify]: Simplify x into x 0.359 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.359 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.359 * [taylor]: Taking taylor expansion of z in y 0.359 * [backup-simplify]: Simplify z into z 0.359 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.360 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* 1 1) into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.361 * [taylor]: Taking taylor expansion of z in x 0.361 * [backup-simplify]: Simplify z into z 0.361 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.361 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.362 * [backup-simplify]: Simplify y into y 0.362 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.362 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.363 * [taylor]: Taking taylor expansion of z in x 0.363 * [backup-simplify]: Simplify z into z 0.363 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [backup-simplify]: Simplify y into y 0.363 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.363 * [taylor]: Taking taylor expansion of 1 in y 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.367 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.367 * [taylor]: Taking taylor expansion of z in y 0.367 * [backup-simplify]: Simplify z into z 0.367 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.367 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify (+ 0 1) into 1 0.368 * [taylor]: Taking taylor expansion of 1 in z 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of 1 in z 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.371 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [taylor]: Taking taylor expansion of 0 in z 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in z 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in z 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.379 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.381 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.381 * [taylor]: Taking taylor expansion of z in z 0.381 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of 0 in z 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [taylor]: Taking taylor expansion of 0 in z 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.383 * * * [progress]: simplifying candidates 0.384 * [simplify]: Simplifying: (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)))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) z x (* -1 x) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1.495 * * * [progress]: adding candidates to table 1.617 * * [progress]: iteration 2 / 4 1.617 * * * [progress]: picking best candidate 1.621 * * * * [pick]: Picked # 1.621 * * * [progress]: localizing error 1.622 * * * [progress]: generating rewritten candidates 1.622 * * * [progress]: generating series expansions 1.622 * * * [progress]: simplifying candidates 1.622 * [simplify]: Simplifying: 1.633 * * * [progress]: adding candidates to table 1.634 * * [progress]: iteration 3 / 4 1.634 * * * [progress]: picking best candidate 1.636 * * * * [pick]: Picked # 1.636 * * * [progress]: localizing error 1.638 * * * [progress]: generating rewritten candidates 1.638 * * * [progress]: generating series expansions 1.638 * * * [progress]: simplifying candidates 1.638 * [simplify]: Simplifying: 1.653 * * * [progress]: adding candidates to table 1.653 * * [progress]: iteration 4 / 4 1.653 * * * [progress]: picking best candidate 1.655 * * * * [pick]: Picked # 1.655 * * * [progress]: localizing error 1.656 * * * [progress]: generating rewritten candidates 1.656 * * * [progress]: generating series expansions 1.656 * * * [progress]: simplifying candidates 1.656 * [simplify]: Simplifying: 1.672 * * * [progress]: adding candidates to table 1.672 * [progress]: [Phase 3 of 3] Extracting. 1.672 * * [regime]: Finding splitpoints for: (# # # #) 1.673 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x) 1.673 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 1.702 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 1.725 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.753 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.780 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.795 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 1.820 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.842 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # #) 1.861 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # #) 1.885 * * * * [regimes]: Trying to branch on z from (# # # #) 1.912 * * * * [regimes]: Trying to branch on y from (# # # #) 1.937 * * * * [regimes]: Trying to branch on x from (# # # #) 1.976 * * * [regime]: Found split indices: #