31.990 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.077 * * * [progress]: generating rewritten candidates 0.077 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.132 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.166 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.166 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.166 * [taylor]: Taking taylor expansion of x in z 0.166 * [backup-simplify]: Simplify x into x 0.166 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.167 * [taylor]: Taking taylor expansion of y in z 0.167 * [backup-simplify]: Simplify y into y 0.167 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.167 * [taylor]: Taking taylor expansion of z in z 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.167 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.167 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.167 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.167 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.167 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.167 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.169 * [taylor]: Taking taylor expansion of z in y 0.169 * [backup-simplify]: Simplify z into z 0.169 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.169 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.169 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.169 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.169 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.169 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.169 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.170 * [taylor]: Taking taylor expansion of z in x 0.170 * [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)) 0.171 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.171 * [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 0.171 * [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) 0.172 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.172 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.173 * [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 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.174 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.174 * [taylor]: Taking taylor expansion of z in y 0.174 * [backup-simplify]: Simplify z into z 0.174 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.174 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.175 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.175 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.175 * [taylor]: Taking taylor expansion of z in z 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [taylor]: Taking taylor expansion of 0 in z 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [taylor]: Taking taylor expansion of 0 in z 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.176 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.178 * [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))))) 0.178 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.178 * [taylor]: Taking taylor expansion of 1/2 in y 0.178 * [backup-simplify]: Simplify 1/2 into 1/2 0.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.178 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.178 * [taylor]: Taking taylor expansion of z in y 0.178 * [backup-simplify]: Simplify z into z 0.178 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.178 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.178 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.178 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.178 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.179 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.179 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.179 * [taylor]: Taking taylor expansion of 1/2 in z 0.179 * [backup-simplify]: Simplify 1/2 into 1/2 0.179 * [taylor]: Taking taylor expansion of z in z 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.181 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.181 * [taylor]: Taking taylor expansion of 1/2 in z 0.181 * [backup-simplify]: Simplify 1/2 into 1/2 0.181 * [taylor]: Taking taylor expansion of z in z 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.183 * [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))))) 0.183 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.183 * [taylor]: Taking taylor expansion of x in z 0.183 * [backup-simplify]: Simplify x into x 0.183 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.183 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.183 * [taylor]: Taking taylor expansion of (pow z 2) in z 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 (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.184 * [taylor]: Taking taylor expansion of y in z 0.184 * [backup-simplify]: Simplify y into y 0.184 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (+ 0 1) into 1 0.185 * [backup-simplify]: Simplify (sqrt 1) into 1 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [backup-simplify]: Simplify x into x 0.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 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 (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (+ 0 1) into 1 0.189 * [backup-simplify]: Simplify (+ 0 1) into 1 0.190 * [backup-simplify]: Simplify (sqrt 1) into 1 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.195 * [taylor]: Taking taylor expansion of z in x 0.195 * [backup-simplify]: Simplify z into z 0.195 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.195 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [backup-simplify]: Simplify y into y 0.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify (sqrt 1) into 1 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.198 * [taylor]: Taking taylor expansion of z in x 0.198 * [backup-simplify]: Simplify z into z 0.198 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.198 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [backup-simplify]: Simplify (sqrt 1) into 1 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [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 1 in y 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [taylor]: Taking taylor expansion of 1 in z 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.202 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.203 * [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)))) 0.203 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.203 * [taylor]: Taking taylor expansion of 1/2 in y 0.203 * [backup-simplify]: Simplify 1/2 into 1/2 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.203 * [taylor]: Taking taylor expansion of z in y 0.203 * [backup-simplify]: Simplify z into z 0.203 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.203 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [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 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in z 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [taylor]: Taking taylor expansion of 0 in z 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [taylor]: Taking taylor expansion of 0 in z 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.207 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.210 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.210 * [taylor]: Taking taylor expansion of 1/2 in z 0.210 * [backup-simplify]: Simplify 1/2 into 1/2 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.210 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.210 * [taylor]: Taking taylor expansion of z in z 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.214 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [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)))))) 0.216 * [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 0.216 * [taylor]: Taking taylor expansion of -1/2 in y 0.216 * [backup-simplify]: Simplify -1/2 into -1/2 0.216 * [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 0.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.216 * [taylor]: Taking taylor expansion of 1/4 in y 0.216 * [backup-simplify]: Simplify 1/4 into 1/4 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.216 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.216 * [taylor]: Taking taylor expansion of z in y 0.216 * [backup-simplify]: Simplify z into z 0.216 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.216 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.216 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.216 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.216 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.216 * [taylor]: Taking taylor expansion of 1/2 in y 0.216 * [backup-simplify]: Simplify 1/2 into 1/2 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.216 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.216 * [taylor]: Taking taylor expansion of z in y 0.216 * [backup-simplify]: Simplify z into z 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.217 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.217 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.217 * [taylor]: Taking taylor expansion of 1/4 in y 0.217 * [backup-simplify]: Simplify 1/4 into 1/4 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.218 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.225 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.226 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.227 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.227 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.228 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.232 * [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))))) 0.232 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.233 * [taylor]: Taking taylor expansion of x in z 0.233 * [backup-simplify]: Simplify x into x 0.233 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.233 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.233 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.233 * [taylor]: Taking taylor expansion of z in z 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.233 * [taylor]: Taking taylor expansion of y in z 0.233 * [backup-simplify]: Simplify y into y 0.233 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.233 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [backup-simplify]: Simplify (+ 0 1) into 1 0.234 * [backup-simplify]: Simplify (sqrt 1) into 1 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [backup-simplify]: Simplify x into x 0.236 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.236 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.236 * [taylor]: Taking taylor expansion of z in y 0.236 * [backup-simplify]: Simplify z into z 0.236 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.236 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (+ 0 1) into 1 0.237 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [backup-simplify]: Simplify (sqrt 1) into 1 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.240 * [taylor]: Taking taylor expansion of z in x 0.240 * [backup-simplify]: Simplify z into z 0.240 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.240 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [backup-simplify]: Simplify y into y 0.240 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.240 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.241 * [backup-simplify]: Simplify (+ 1 0) into 1 0.241 * [backup-simplify]: Simplify (sqrt 1) into 1 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.243 * [taylor]: Taking taylor expansion of z in x 0.243 * [backup-simplify]: Simplify z into z 0.243 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.243 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.243 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify (sqrt 1) into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.245 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [taylor]: Taking taylor expansion of 1 in z 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.247 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.248 * [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)))) 0.248 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.248 * [taylor]: Taking taylor expansion of 1/2 in y 0.248 * [backup-simplify]: Simplify 1/2 into 1/2 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.248 * [taylor]: Taking taylor expansion of z in y 0.248 * [backup-simplify]: Simplify z into z 0.248 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.248 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 1) into 1 0.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in z 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [taylor]: Taking taylor expansion of 0 in z 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [taylor]: Taking taylor expansion of 0 in z 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.252 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) 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 (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.255 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.255 * [taylor]: Taking taylor expansion of 1/2 in z 0.255 * [backup-simplify]: Simplify 1/2 into 1/2 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.255 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.255 * [taylor]: Taking taylor expansion of z in z 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [taylor]: Taking taylor expansion of 0 in z 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [taylor]: Taking taylor expansion of 0 in z 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.259 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.261 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.261 * [taylor]: Taking taylor expansion of -1/2 in y 0.261 * [backup-simplify]: Simplify -1/2 into -1/2 0.261 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.261 * [taylor]: Taking taylor expansion of 1/4 in y 0.261 * [backup-simplify]: Simplify 1/4 into 1/4 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.261 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.261 * [taylor]: Taking taylor expansion of z in y 0.261 * [backup-simplify]: Simplify z into z 0.261 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.261 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.261 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.261 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.261 * [taylor]: Taking taylor expansion of 1/2 in y 0.261 * [backup-simplify]: Simplify 1/2 into 1/2 0.261 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.261 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.261 * [taylor]: Taking taylor expansion of z in y 0.261 * [backup-simplify]: Simplify z into z 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.262 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.262 * [taylor]: Taking taylor expansion of 1/4 in y 0.262 * [backup-simplify]: Simplify 1/4 into 1/4 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.262 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.264 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.273 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.274 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.274 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.274 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.276 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.276 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.277 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.277 * [taylor]: Taking taylor expansion of 0 in z 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [taylor]: Taking taylor expansion of 0 in z 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.280 * [taylor]: Taking taylor expansion of 0 in z 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [taylor]: Taking taylor expansion of 0 in z 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [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 (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.283 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.283 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.283 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.283 * [taylor]: Taking taylor expansion of x in z 0.283 * [backup-simplify]: Simplify x into x 0.283 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.283 * [taylor]: Taking taylor expansion of y in z 0.284 * [backup-simplify]: Simplify y into y 0.284 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.284 * [taylor]: Taking taylor expansion of z in z 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [backup-simplify]: Simplify x into x 0.284 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.284 * [taylor]: Taking taylor expansion of z in y 0.284 * [backup-simplify]: Simplify z into z 0.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [backup-simplify]: Simplify y into y 0.284 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.284 * [taylor]: Taking taylor expansion of z in x 0.284 * [backup-simplify]: Simplify z into z 0.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [backup-simplify]: Simplify y into y 0.284 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.284 * [taylor]: Taking taylor expansion of z in x 0.285 * [backup-simplify]: Simplify z into z 0.285 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.285 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.285 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.285 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.285 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 * [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) 0.286 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.286 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.286 * [taylor]: Taking taylor expansion of z in z 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.286 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [taylor]: Taking taylor expansion of 0 in z 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [taylor]: Taking taylor expansion of 0 in z 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.288 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [taylor]: Taking taylor expansion of 1 in y 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of 1 in z 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of 0 in z 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [taylor]: Taking taylor expansion of 1 in z 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [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))) 0.295 * [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)))) 0.295 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.295 * [taylor]: Taking taylor expansion of x in z 0.295 * [backup-simplify]: Simplify x into x 0.295 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.295 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.296 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.296 * [taylor]: Taking taylor expansion of z in z 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.296 * [taylor]: Taking taylor expansion of y in z 0.296 * [backup-simplify]: Simplify y into y 0.296 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.297 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [backup-simplify]: Simplify x into x 0.297 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.297 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.297 * [taylor]: Taking taylor expansion of z in y 0.297 * [backup-simplify]: Simplify z into z 0.297 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.297 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.299 * [taylor]: Taking taylor expansion of z in x 0.299 * [backup-simplify]: Simplify z into z 0.299 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.299 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [backup-simplify]: Simplify y into y 0.299 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.299 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.300 * [taylor]: Taking taylor expansion of z in x 0.300 * [backup-simplify]: Simplify z into z 0.300 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.300 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.301 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [taylor]: Taking taylor expansion of 1 in y 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.305 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.305 * [taylor]: Taking taylor expansion of z in y 0.305 * [backup-simplify]: Simplify z into z 0.305 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.305 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [backup-simplify]: Simplify (+ 0 1) into 1 0.306 * [taylor]: Taking taylor expansion of 1 in z 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of 1 in z 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.308 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in z 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [taylor]: Taking taylor expansion of 0 in z 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [taylor]: Taking taylor expansion of 0 in z 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.314 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.316 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.316 * [taylor]: Taking taylor expansion of z in z 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of 0 in z 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [taylor]: Taking taylor expansion of 0 in z 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [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))) 0.319 * [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)))) 0.319 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.319 * [taylor]: Taking taylor expansion of x in z 0.319 * [backup-simplify]: Simplify x into x 0.319 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.319 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.319 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.319 * [taylor]: Taking taylor expansion of z in z 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.320 * [taylor]: Taking taylor expansion of y in z 0.320 * [backup-simplify]: Simplify y into y 0.320 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [backup-simplify]: Simplify x into x 0.320 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.320 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.320 * [taylor]: Taking taylor expansion of z in y 0.320 * [backup-simplify]: Simplify z into z 0.320 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.322 * [taylor]: Taking taylor expansion of z in x 0.322 * [backup-simplify]: Simplify z into z 0.322 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.323 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [backup-simplify]: Simplify y into y 0.323 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.323 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.324 * [taylor]: Taking taylor expansion of z in x 0.324 * [backup-simplify]: Simplify z into z 0.324 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.324 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.324 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.328 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 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) 0.329 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify (+ 0 1) into 1 0.330 * [taylor]: Taking taylor expansion of 1 in z 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of 1 in z 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.332 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [taylor]: Taking taylor expansion of 0 in z 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [taylor]: Taking taylor expansion of 0 in z 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [taylor]: Taking taylor expansion of 0 in z 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.337 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.340 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.340 * [taylor]: Taking taylor expansion of z in z 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of 0 in z 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [taylor]: Taking taylor expansion of 0 in z 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [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))) 0.342 * * * [progress]: simplifying candidates 0.343 * [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))) 1.417 * * * [progress]: adding candidates to table 1.538 * * [progress]: iteration 2 / 4 1.539 * * * [progress]: picking best candidate 1.545 * * * * [pick]: Picked # 1.545 * * * [progress]: localizing error 1.567 * * * [progress]: generating rewritten candidates 1.567 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.603 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.638 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.808 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.864 * * * [progress]: generating series expansions 1.864 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.865 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 1.865 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 1.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.865 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.865 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.865 * [taylor]: Taking taylor expansion of x in z 1.865 * [backup-simplify]: Simplify x into x 1.865 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.865 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.865 * [taylor]: Taking taylor expansion of y in z 1.865 * [backup-simplify]: Simplify y into y 1.865 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.865 * [taylor]: Taking taylor expansion of z in z 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.865 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.865 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.866 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 1.866 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 1.866 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.866 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.867 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.867 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.867 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.867 * [taylor]: Taking taylor expansion of x in y 1.867 * [backup-simplify]: Simplify x into x 1.867 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.867 * [taylor]: Taking taylor expansion of y in y 1.867 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.868 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.868 * [taylor]: Taking taylor expansion of z in y 1.868 * [backup-simplify]: Simplify z into z 1.868 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.868 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.868 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.868 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 1.868 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 1.868 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.868 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 1.869 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.869 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.869 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.869 * [taylor]: Taking taylor expansion of x in x 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.870 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.870 * [taylor]: Taking taylor expansion of y in x 1.870 * [backup-simplify]: Simplify y into y 1.870 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.870 * [taylor]: Taking taylor expansion of z in x 1.870 * [backup-simplify]: Simplify z into z 1.870 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.870 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.870 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.870 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 1.870 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.871 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.871 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.872 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.872 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.872 * [taylor]: Taking taylor expansion of y in x 1.872 * [backup-simplify]: Simplify y into y 1.872 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.872 * [taylor]: Taking taylor expansion of z in x 1.872 * [backup-simplify]: Simplify z into z 1.872 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.872 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.872 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.872 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 1.873 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.873 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.873 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.873 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [backup-simplify]: Simplify (+ 0 0) into 0 1.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.874 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.874 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.874 * [taylor]: Taking taylor expansion of y in y 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.874 * [taylor]: Taking taylor expansion of z in y 1.874 * [backup-simplify]: Simplify z into z 1.874 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.874 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.874 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 1.874 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 1.875 * [taylor]: Taking taylor expansion of z in z 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [taylor]: Taking taylor expansion of 0 in y 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [taylor]: Taking taylor expansion of 0 in z 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [taylor]: Taking taylor expansion of 0 in z 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (* 1 1) into 1 1.876 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.876 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.877 * [backup-simplify]: Simplify (+ 1 0) into 1 1.878 * [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))))) 1.878 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.878 * [taylor]: Taking taylor expansion of 1/2 in y 1.878 * [backup-simplify]: Simplify 1/2 into 1/2 1.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.878 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.878 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.878 * [taylor]: Taking taylor expansion of y in y 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.878 * [taylor]: Taking taylor expansion of z in y 1.878 * [backup-simplify]: Simplify z into z 1.878 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.878 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.878 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.878 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 1.879 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 1.879 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 1.879 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.879 * [taylor]: Taking taylor expansion of 1/2 in z 1.879 * [backup-simplify]: Simplify 1/2 into 1/2 1.880 * [taylor]: Taking taylor expansion of z in z 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [taylor]: Taking taylor expansion of 0 in z 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.881 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.882 * [backup-simplify]: Simplify (+ 1 0) into 1 1.882 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 1.882 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.882 * [taylor]: Taking taylor expansion of 1/2 in z 1.882 * [backup-simplify]: Simplify 1/2 into 1/2 1.882 * [taylor]: Taking taylor expansion of z in z 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 1.885 * [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))))) 1.885 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.885 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.885 * [taylor]: Taking taylor expansion of x in z 1.885 * [backup-simplify]: Simplify x into x 1.885 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.885 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.885 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.885 * [taylor]: Taking taylor expansion of z in z 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (* 1 1) into 1 1.886 * [backup-simplify]: Simplify (/ 1 1) into 1 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.886 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.886 * [taylor]: Taking taylor expansion of y in z 1.886 * [backup-simplify]: Simplify y into y 1.886 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.886 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.886 * [backup-simplify]: Simplify (+ 1 0) into 1 1.887 * [backup-simplify]: Simplify (+ 0 1) into 1 1.887 * [backup-simplify]: Simplify (sqrt 1) into 1 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.890 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.890 * [taylor]: Taking taylor expansion of x in y 1.890 * [backup-simplify]: Simplify x into x 1.890 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.890 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.890 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.890 * [taylor]: Taking taylor expansion of z in y 1.890 * [backup-simplify]: Simplify z into z 1.890 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.890 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.890 * [taylor]: Taking taylor expansion of y in y 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (* 1 1) into 1 1.891 * [backup-simplify]: Simplify (/ 1 1) into 1 1.891 * [backup-simplify]: Simplify (+ 0 1) into 1 1.891 * [backup-simplify]: Simplify (+ 0 1) into 1 1.892 * [backup-simplify]: Simplify (sqrt 1) into 1 1.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.894 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (* 1 1) into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.895 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.895 * [taylor]: Taking taylor expansion of z in x 1.895 * [backup-simplify]: Simplify z into z 1.895 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.895 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.895 * [taylor]: Taking taylor expansion of y in x 1.895 * [backup-simplify]: Simplify y into y 1.895 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.895 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.896 * [backup-simplify]: Simplify (+ 1 0) into 1 1.896 * [backup-simplify]: Simplify (sqrt 1) into 1 1.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.899 * [backup-simplify]: Simplify (/ 1 1) into 1 1.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.899 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.899 * [taylor]: Taking taylor expansion of z in x 1.899 * [backup-simplify]: Simplify z into z 1.899 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.899 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.899 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.899 * [taylor]: Taking taylor expansion of y in x 1.899 * [backup-simplify]: Simplify y into y 1.899 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.899 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.900 * [backup-simplify]: Simplify (+ 1 0) into 1 1.900 * [backup-simplify]: Simplify (sqrt 1) into 1 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.902 * [taylor]: Taking taylor expansion of 1 in y 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [taylor]: Taking taylor expansion of 0 in y 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [taylor]: Taking taylor expansion of 1 in z 1.902 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.904 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.906 * [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)))) 1.906 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.906 * [taylor]: Taking taylor expansion of 1/2 in y 1.906 * [backup-simplify]: Simplify 1/2 into 1/2 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.906 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.906 * [taylor]: Taking taylor expansion of z in y 1.906 * [backup-simplify]: Simplify z into z 1.906 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.906 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.906 * [taylor]: Taking taylor expansion of y in y 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (* 1 1) into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (+ 0 1) into 1 1.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.909 * [taylor]: Taking taylor expansion of 0 in z 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [taylor]: Taking taylor expansion of 0 in z 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [taylor]: Taking taylor expansion of 0 in z 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.911 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.913 * [taylor]: Taking taylor expansion of 0 in y 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.915 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.915 * [taylor]: Taking taylor expansion of 1/2 in z 1.915 * [backup-simplify]: Simplify 1/2 into 1/2 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.915 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.915 * [taylor]: Taking taylor expansion of z in z 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (* 1 1) into 1 1.916 * [backup-simplify]: Simplify (/ 1 1) into 1 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [taylor]: Taking taylor expansion of 0 in z 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [taylor]: Taking taylor expansion of 0 in z 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.920 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.923 * [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)))))) 1.923 * [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 1.923 * [taylor]: Taking taylor expansion of -1/2 in y 1.923 * [backup-simplify]: Simplify -1/2 into -1/2 1.923 * [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 1.923 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.923 * [taylor]: Taking taylor expansion of 1/4 in y 1.923 * [backup-simplify]: Simplify 1/4 into 1/4 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.923 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.923 * [taylor]: Taking taylor expansion of z in y 1.923 * [backup-simplify]: Simplify z into z 1.923 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.923 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.923 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.923 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.923 * [taylor]: Taking taylor expansion of 1/2 in y 1.923 * [backup-simplify]: Simplify 1/2 into 1/2 1.924 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.924 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.924 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.924 * [taylor]: Taking taylor expansion of z in y 1.924 * [backup-simplify]: Simplify z into z 1.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.924 * [taylor]: Taking taylor expansion of y in y 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.924 * [backup-simplify]: Simplify (* 1 1) into 1 1.924 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.924 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.924 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.924 * [taylor]: Taking taylor expansion of 1/4 in y 1.924 * [backup-simplify]: Simplify 1/4 into 1/4 1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.924 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.924 * [taylor]: Taking taylor expansion of y in y 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.926 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 1.936 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.936 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 1.936 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 1.937 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.938 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.938 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.939 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 1.939 * [taylor]: Taking taylor expansion of 0 in z 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [taylor]: Taking taylor expansion of 0 in z 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 1.947 * [taylor]: Taking taylor expansion of 0 in z 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [taylor]: Taking taylor expansion of 0 in z 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [taylor]: Taking taylor expansion of 0 in z 1.947 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 1.950 * [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))))) 1.950 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.950 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.950 * [taylor]: Taking taylor expansion of x in z 1.950 * [backup-simplify]: Simplify x into x 1.950 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.951 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.951 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.951 * [taylor]: Taking taylor expansion of z in z 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (* 1 1) into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.951 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.951 * [taylor]: Taking taylor expansion of y in z 1.951 * [backup-simplify]: Simplify y into y 1.951 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.952 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.952 * [backup-simplify]: Simplify (+ 1 0) into 1 1.952 * [backup-simplify]: Simplify (+ 0 1) into 1 1.953 * [backup-simplify]: Simplify (sqrt 1) into 1 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.955 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.955 * [taylor]: Taking taylor expansion of x in y 1.955 * [backup-simplify]: Simplify x into x 1.955 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.955 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.955 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.955 * [taylor]: Taking taylor expansion of z in y 1.955 * [backup-simplify]: Simplify z into z 1.956 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.956 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.956 * [taylor]: Taking taylor expansion of y in y 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [backup-simplify]: Simplify (+ 0 1) into 1 1.957 * [backup-simplify]: Simplify (+ 0 1) into 1 1.957 * [backup-simplify]: Simplify (sqrt 1) into 1 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.960 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.961 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.961 * [taylor]: Taking taylor expansion of z in x 1.961 * [backup-simplify]: Simplify z into z 1.961 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.961 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.961 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.961 * [taylor]: Taking taylor expansion of y in x 1.961 * [backup-simplify]: Simplify y into y 1.961 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.961 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.962 * [backup-simplify]: Simplify (+ 1 0) into 1 1.962 * [backup-simplify]: Simplify (sqrt 1) into 1 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (* 1 1) into 1 1.965 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.965 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.965 * [taylor]: Taking taylor expansion of z in x 1.965 * [backup-simplify]: Simplify z into z 1.965 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.965 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.965 * [taylor]: Taking taylor expansion of y in x 1.965 * [backup-simplify]: Simplify y into y 1.965 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.965 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.966 * [backup-simplify]: Simplify (+ 1 0) into 1 1.966 * [backup-simplify]: Simplify (sqrt 1) into 1 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.968 * [taylor]: Taking taylor expansion of 1 in y 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of 0 in y 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [taylor]: Taking taylor expansion of 1 in z 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.971 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.972 * [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)))) 1.972 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.972 * [taylor]: Taking taylor expansion of 1/2 in y 1.972 * [backup-simplify]: Simplify 1/2 into 1/2 1.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.972 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.972 * [taylor]: Taking taylor expansion of z in y 1.972 * [backup-simplify]: Simplify z into z 1.972 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.972 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.972 * [taylor]: Taking taylor expansion of y in y 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (+ 0 1) into 1 1.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.975 * [taylor]: Taking taylor expansion of 0 in z 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [taylor]: Taking taylor expansion of 0 in z 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [taylor]: Taking taylor expansion of 0 in z 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.977 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.979 * [taylor]: Taking taylor expansion of 0 in y 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.981 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.981 * [taylor]: Taking taylor expansion of 1/2 in z 1.981 * [backup-simplify]: Simplify 1/2 into 1/2 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.981 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.981 * [taylor]: Taking taylor expansion of z in z 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (* 1 1) into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [taylor]: Taking taylor expansion of 0 in z 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [taylor]: Taking taylor expansion of 0 in z 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.987 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [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)))))) 1.989 * [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 1.989 * [taylor]: Taking taylor expansion of -1/2 in y 1.989 * [backup-simplify]: Simplify -1/2 into -1/2 1.989 * [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 1.990 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.990 * [taylor]: Taking taylor expansion of 1/4 in y 1.990 * [backup-simplify]: Simplify 1/4 into 1/4 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.990 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.990 * [taylor]: Taking taylor expansion of z in y 1.990 * [backup-simplify]: Simplify z into z 1.990 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.990 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.990 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.990 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.990 * [taylor]: Taking taylor expansion of 1/2 in y 1.990 * [backup-simplify]: Simplify 1/2 into 1/2 1.990 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.990 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.990 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.990 * [taylor]: Taking taylor expansion of z in y 1.990 * [backup-simplify]: Simplify z into z 1.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.990 * [taylor]: Taking taylor expansion of y in y 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.991 * [backup-simplify]: Simplify (* 1 1) into 1 1.991 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.991 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.991 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.991 * [taylor]: Taking taylor expansion of 1/4 in y 1.991 * [backup-simplify]: Simplify 1/4 into 1/4 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.991 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.993 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.993 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 2.003 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 2.003 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 2.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 2.005 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.006 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.006 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 2.007 * [taylor]: Taking taylor expansion of 0 in z 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [taylor]: Taking taylor expansion of 0 in z 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 2.010 * [taylor]: Taking taylor expansion of 0 in z 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [taylor]: Taking taylor expansion of 0 in z 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [taylor]: Taking taylor expansion of 0 in z 2.010 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 2.013 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.013 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 2.013 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 2.013 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 2.013 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 2.013 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.013 * [taylor]: Taking taylor expansion of x in z 2.013 * [backup-simplify]: Simplify x into x 2.013 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 2.013 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.013 * [taylor]: Taking taylor expansion of y in z 2.013 * [backup-simplify]: Simplify y into y 2.013 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.013 * [taylor]: Taking taylor expansion of z in z 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.013 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.014 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.014 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 2.014 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 2.014 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.014 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 2.015 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 2.015 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 2.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.015 * [taylor]: Taking taylor expansion of x in y 2.015 * [backup-simplify]: Simplify x into x 2.015 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.015 * [taylor]: Taking taylor expansion of z in y 2.015 * [backup-simplify]: Simplify z into z 2.015 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.015 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.016 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 2.016 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 2.016 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 2.016 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.016 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 2.017 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 2.017 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 2.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 1 into 1 2.017 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 2.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.017 * [taylor]: Taking taylor expansion of y in x 2.017 * [backup-simplify]: Simplify y into y 2.017 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.017 * [taylor]: Taking taylor expansion of z in x 2.017 * [backup-simplify]: Simplify z into z 2.017 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.017 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.017 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 2.017 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 2.017 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 2.017 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.017 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 2.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 2.018 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 2.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.018 * [taylor]: Taking taylor expansion of x in x 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 2.018 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.018 * [taylor]: Taking taylor expansion of y in x 2.018 * [backup-simplify]: Simplify y into y 2.018 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.018 * [taylor]: Taking taylor expansion of z in x 2.018 * [backup-simplify]: Simplify z into z 2.018 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.019 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.019 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 2.019 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 2.019 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 2.019 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.019 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 2.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.020 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.020 * [taylor]: Taking taylor expansion of y in y 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.020 * [taylor]: Taking taylor expansion of z in y 2.020 * [backup-simplify]: Simplify z into z 2.020 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.020 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 2.020 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 2.020 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 2.021 * [taylor]: Taking taylor expansion of z in z 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [taylor]: Taking taylor expansion of 0 in y 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [taylor]: Taking taylor expansion of 0 in z 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [taylor]: Taking taylor expansion of 0 in z 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.022 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (+ 1 0) into 1 2.023 * [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))))) 2.023 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 2.023 * [taylor]: Taking taylor expansion of 1/2 in y 2.023 * [backup-simplify]: Simplify 1/2 into 1/2 2.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.023 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.023 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.023 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.023 * [taylor]: Taking taylor expansion of y in y 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.023 * [taylor]: Taking taylor expansion of z in y 2.023 * [backup-simplify]: Simplify z into z 2.023 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.023 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 2.023 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.023 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 2.023 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 2.024 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 2.024 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.024 * [taylor]: Taking taylor expansion of 1/2 in z 2.024 * [backup-simplify]: Simplify 1/2 into 1/2 2.024 * [taylor]: Taking taylor expansion of z in z 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [taylor]: Taking taylor expansion of 0 in z 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 2.026 * [backup-simplify]: Simplify (+ 1 0) into 1 2.026 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 2.027 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.027 * [taylor]: Taking taylor expansion of 1/2 in z 2.027 * [backup-simplify]: Simplify 1/2 into 1/2 2.027 * [taylor]: Taking taylor expansion of z in z 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 2.028 * [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))))) 2.028 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 2.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 2.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.028 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.028 * [taylor]: Taking taylor expansion of x in z 2.028 * [backup-simplify]: Simplify x into x 2.028 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.028 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 2.028 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.028 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.028 * [taylor]: Taking taylor expansion of z in z 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.029 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.029 * [taylor]: Taking taylor expansion of y in z 2.029 * [backup-simplify]: Simplify y into y 2.029 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.029 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.029 * [backup-simplify]: Simplify (+ 1 0) into 1 2.030 * [backup-simplify]: Simplify (+ 0 1) into 1 2.030 * [backup-simplify]: Simplify (sqrt 1) into 1 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.032 * [taylor]: Taking taylor expansion of x in y 2.032 * [backup-simplify]: Simplify x into x 2.032 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.032 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.032 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.032 * [taylor]: Taking taylor expansion of z in y 2.032 * [backup-simplify]: Simplify z into z 2.032 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.032 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.032 * [taylor]: Taking taylor expansion of y in y 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [backup-simplify]: Simplify (+ 0 1) into 1 2.033 * [backup-simplify]: Simplify (+ 0 1) into 1 2.034 * [backup-simplify]: Simplify (sqrt 1) into 1 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (* 1 1) into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.036 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.036 * [taylor]: Taking taylor expansion of z in x 2.036 * [backup-simplify]: Simplify z into z 2.036 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.036 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.036 * [taylor]: Taking taylor expansion of y in x 2.037 * [backup-simplify]: Simplify y into y 2.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.037 * [backup-simplify]: Simplify (+ 1 0) into 1 2.037 * [backup-simplify]: Simplify (sqrt 1) into 1 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (* 1 1) into 1 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.039 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.039 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.039 * [taylor]: Taking taylor expansion of z in x 2.039 * [backup-simplify]: Simplify z into z 2.039 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.039 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.039 * [taylor]: Taking taylor expansion of y in x 2.039 * [backup-simplify]: Simplify y into y 2.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.040 * [backup-simplify]: Simplify (+ 1 0) into 1 2.040 * [backup-simplify]: Simplify (sqrt 1) into 1 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.042 * [taylor]: Taking taylor expansion of 1 in y 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [taylor]: Taking taylor expansion of 0 in y 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [taylor]: Taking taylor expansion of 1 in z 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.043 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.044 * [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)))) 2.044 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.044 * [taylor]: Taking taylor expansion of 1/2 in y 2.044 * [backup-simplify]: Simplify 1/2 into 1/2 2.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.044 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.044 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.044 * [taylor]: Taking taylor expansion of z in y 2.044 * [backup-simplify]: Simplify z into z 2.044 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.045 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.045 * [taylor]: Taking taylor expansion of y in y 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (* 1 1) into 1 2.045 * [backup-simplify]: Simplify (/ 1 1) into 1 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (+ 0 1) into 1 2.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.047 * [taylor]: Taking taylor expansion of 0 in z 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [taylor]: Taking taylor expansion of 0 in z 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [taylor]: Taking taylor expansion of 0 in z 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.048 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 2.050 * [taylor]: Taking taylor expansion of 0 in y 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 2.051 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 2.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.051 * [taylor]: Taking taylor expansion of 1/2 in z 2.051 * [backup-simplify]: Simplify 1/2 into 1/2 2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.051 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.051 * [taylor]: Taking taylor expansion of z in z 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify (/ 1 1) into 1 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [taylor]: Taking taylor expansion of 0 in z 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [taylor]: Taking taylor expansion of 0 in z 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 2.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [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)))))) 2.060 * [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 2.060 * [taylor]: Taking taylor expansion of -1/2 in y 2.060 * [backup-simplify]: Simplify -1/2 into -1/2 2.060 * [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 2.060 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.060 * [taylor]: Taking taylor expansion of 1/4 in y 2.060 * [backup-simplify]: Simplify 1/4 into 1/4 2.060 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.060 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.060 * [taylor]: Taking taylor expansion of z in y 2.060 * [backup-simplify]: Simplify z into z 2.060 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.060 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 2.060 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 2.060 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.060 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.060 * [taylor]: Taking taylor expansion of 1/2 in y 2.060 * [backup-simplify]: Simplify 1/2 into 1/2 2.060 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.060 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.060 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.060 * [taylor]: Taking taylor expansion of z in y 2.060 * [backup-simplify]: Simplify z into z 2.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.060 * [taylor]: Taking taylor expansion of y in y 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.061 * [backup-simplify]: Simplify (* 1 1) into 1 2.061 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 2.061 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.061 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.061 * [taylor]: Taking taylor expansion of 1/4 in y 2.061 * [backup-simplify]: Simplify 1/4 into 1/4 2.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.061 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.061 * [taylor]: Taking taylor expansion of y in y 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (* 1 1) into 1 2.061 * [backup-simplify]: Simplify (* 1 1) into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.062 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.063 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 2.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 2.069 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 2.069 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 2.070 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 2.071 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.072 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.073 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 2.073 * [taylor]: Taking taylor expansion of 0 in z 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [taylor]: Taking taylor expansion of 0 in z 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 2.076 * [taylor]: Taking taylor expansion of 0 in z 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [taylor]: Taking taylor expansion of 0 in z 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [taylor]: Taking taylor expansion of 0 in z 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 2.078 * [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))))) 2.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 2.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.078 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.078 * [taylor]: Taking taylor expansion of x in z 2.078 * [backup-simplify]: Simplify x into x 2.078 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.078 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.078 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.078 * [taylor]: Taking taylor expansion of z in z 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.079 * [backup-simplify]: Simplify (* 1 1) into 1 2.079 * [backup-simplify]: Simplify (/ 1 1) into 1 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.079 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.079 * [taylor]: Taking taylor expansion of y in z 2.079 * [backup-simplify]: Simplify y into y 2.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.079 * [backup-simplify]: Simplify (+ 1 0) into 1 2.080 * [backup-simplify]: Simplify (+ 0 1) into 1 2.080 * [backup-simplify]: Simplify (sqrt 1) into 1 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 2.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.082 * [taylor]: Taking taylor expansion of x in y 2.082 * [backup-simplify]: Simplify x into x 2.082 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.082 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.082 * [taylor]: Taking taylor expansion of z in y 2.082 * [backup-simplify]: Simplify z into z 2.082 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.082 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.082 * [taylor]: Taking taylor expansion of y in y 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (* 1 1) into 1 2.083 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [backup-simplify]: Simplify (+ 0 1) into 1 2.083 * [backup-simplify]: Simplify (+ 0 1) into 1 2.083 * [backup-simplify]: Simplify (sqrt 1) into 1 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (* 1 1) into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.086 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.086 * [taylor]: Taking taylor expansion of z in x 2.086 * [backup-simplify]: Simplify z into z 2.086 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.086 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.086 * [taylor]: Taking taylor expansion of y in x 2.086 * [backup-simplify]: Simplify y into y 2.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.086 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.087 * [backup-simplify]: Simplify (+ 1 0) into 1 2.087 * [backup-simplify]: Simplify (sqrt 1) into 1 2.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (* 1 1) into 1 2.089 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.089 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.089 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.089 * [taylor]: Taking taylor expansion of z in x 2.089 * [backup-simplify]: Simplify z into z 2.089 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.089 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.089 * [taylor]: Taking taylor expansion of y in x 2.089 * [backup-simplify]: Simplify y into y 2.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.089 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.090 * [backup-simplify]: Simplify (+ 1 0) into 1 2.090 * [backup-simplify]: Simplify (sqrt 1) into 1 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.091 * [taylor]: Taking taylor expansion of 1 in y 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [taylor]: Taking taylor expansion of 0 in y 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [taylor]: Taking taylor expansion of 1 in z 2.091 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.093 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.094 * [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)))) 2.094 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.094 * [taylor]: Taking taylor expansion of 1/2 in y 2.094 * [backup-simplify]: Simplify 1/2 into 1/2 2.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.094 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.094 * [taylor]: Taking taylor expansion of z in y 2.094 * [backup-simplify]: Simplify z into z 2.094 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.094 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.094 * [taylor]: Taking taylor expansion of y in y 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (* 1 1) into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.096 * [backup-simplify]: Simplify (+ 0 1) into 1 2.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.096 * [taylor]: Taking taylor expansion of 0 in z 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [taylor]: Taking taylor expansion of 0 in z 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [taylor]: Taking taylor expansion of 0 in z 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 2.099 * [taylor]: Taking taylor expansion of 0 in y 2.099 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 2.101 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 2.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.101 * [taylor]: Taking taylor expansion of 1/2 in z 2.101 * [backup-simplify]: Simplify 1/2 into 1/2 2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.101 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.101 * [taylor]: Taking taylor expansion of z in z 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.101 * [backup-simplify]: Simplify (/ 1 1) into 1 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [taylor]: Taking taylor expansion of 0 in z 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [taylor]: Taking taylor expansion of 0 in z 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 2.105 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (+ 0 0) into 0 2.107 * [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)))))) 2.107 * [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 2.107 * [taylor]: Taking taylor expansion of -1/2 in y 2.107 * [backup-simplify]: Simplify -1/2 into -1/2 2.107 * [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 2.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.107 * [taylor]: Taking taylor expansion of 1/4 in y 2.107 * [backup-simplify]: Simplify 1/4 into 1/4 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.107 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.107 * [taylor]: Taking taylor expansion of z in y 2.107 * [backup-simplify]: Simplify z into z 2.107 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.107 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 2.107 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 2.107 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.107 * [taylor]: Taking taylor expansion of 1/2 in y 2.107 * [backup-simplify]: Simplify 1/2 into 1/2 2.107 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.107 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.107 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.107 * [taylor]: Taking taylor expansion of z in y 2.107 * [backup-simplify]: Simplify z into z 2.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.107 * [taylor]: Taking taylor expansion of y in y 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.108 * [backup-simplify]: Simplify (* 1 1) into 1 2.108 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 2.108 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.108 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.108 * [taylor]: Taking taylor expansion of 1/4 in y 2.108 * [backup-simplify]: Simplify 1/4 into 1/4 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.108 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.108 * [taylor]: Taking taylor expansion of y in y 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (* 1 1) into 1 2.108 * [backup-simplify]: Simplify (* 1 1) into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.109 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.109 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 2.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 2.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 2.116 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 2.116 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 2.117 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 2.118 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.118 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.119 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 2.119 * [taylor]: Taking taylor expansion of 0 in z 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [taylor]: Taking taylor expansion of 0 in z 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 2.121 * [taylor]: Taking taylor expansion of 0 in z 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [taylor]: Taking taylor expansion of 0 in z 2.121 * [backup-simplify]: Simplify 0 into 0 2.122 * [taylor]: Taking taylor expansion of 0 in z 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 2.123 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.124 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 2.124 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 2.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 2.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 2.124 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.124 * [taylor]: Taking taylor expansion of x in z 2.124 * [backup-simplify]: Simplify x into x 2.124 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 2.124 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.124 * [taylor]: Taking taylor expansion of y in z 2.124 * [backup-simplify]: Simplify y into y 2.124 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.124 * [taylor]: Taking taylor expansion of z in z 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.124 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.124 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.124 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 2.124 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 2.125 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.125 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 2.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 2.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 2.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.125 * [taylor]: Taking taylor expansion of x in y 2.125 * [backup-simplify]: Simplify x into x 2.125 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.125 * [taylor]: Taking taylor expansion of y in y 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.125 * [taylor]: Taking taylor expansion of z in y 2.125 * [backup-simplify]: Simplify z into z 2.126 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.126 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.126 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 2.126 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 2.126 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 2.126 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.126 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 2.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 2.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 2.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 2.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.127 * [taylor]: Taking taylor expansion of y in x 2.127 * [backup-simplify]: Simplify y into y 2.127 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.127 * [taylor]: Taking taylor expansion of z in x 2.127 * [backup-simplify]: Simplify z into z 2.127 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.127 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.127 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 2.127 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 2.128 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 2.128 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.128 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 2.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 2.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 2.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.128 * [taylor]: Taking taylor expansion of x in x 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 2.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.128 * [taylor]: Taking taylor expansion of y in x 2.128 * [backup-simplify]: Simplify y into y 2.128 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.129 * [taylor]: Taking taylor expansion of z in x 2.129 * [backup-simplify]: Simplify z into z 2.129 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.129 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.129 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 2.129 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 2.129 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 2.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.129 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 2.130 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.130 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.130 * [taylor]: Taking taylor expansion of y in y 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.130 * [taylor]: Taking taylor expansion of z in y 2.130 * [backup-simplify]: Simplify z into z 2.130 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.130 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 2.130 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 2.130 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 2.131 * [taylor]: Taking taylor expansion of z in z 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [taylor]: Taking taylor expansion of 0 in y 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [taylor]: Taking taylor expansion of 0 in z 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [taylor]: Taking taylor expansion of 0 in z 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (* 1 1) into 1 2.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.132 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 2.132 * [backup-simplify]: Simplify (+ 0 0) into 0 2.132 * [backup-simplify]: Simplify (+ 1 0) into 1 2.133 * [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))))) 2.133 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 2.133 * [taylor]: Taking taylor expansion of 1/2 in y 2.133 * [backup-simplify]: Simplify 1/2 into 1/2 2.133 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.133 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.133 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.133 * [taylor]: Taking taylor expansion of y in y 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.133 * [taylor]: Taking taylor expansion of z in y 2.133 * [backup-simplify]: Simplify z into z 2.133 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.133 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 2.133 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.133 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 2.133 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.134 * [backup-simplify]: Simplify (+ 0 0) into 0 2.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 2.134 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 2.134 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.134 * [taylor]: Taking taylor expansion of 1/2 in z 2.134 * [backup-simplify]: Simplify 1/2 into 1/2 2.134 * [taylor]: Taking taylor expansion of z in z 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [taylor]: Taking taylor expansion of 0 in z 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 2.136 * [backup-simplify]: Simplify (+ 1 0) into 1 2.136 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 2.136 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.136 * [taylor]: Taking taylor expansion of 1/2 in z 2.136 * [backup-simplify]: Simplify 1/2 into 1/2 2.136 * [taylor]: Taking taylor expansion of z in z 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 2.138 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))))) (sqrt (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))))) 2.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 2.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 2.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 2.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.138 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.138 * [taylor]: Taking taylor expansion of x in z 2.138 * [backup-simplify]: Simplify x into x 2.138 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.138 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 2.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.139 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.139 * [taylor]: Taking taylor expansion of z in z 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (* 1 1) into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.139 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.139 * [taylor]: Taking taylor expansion of y in z 2.139 * [backup-simplify]: Simplify y into y 2.139 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.140 * [backup-simplify]: Simplify (+ 1 0) into 1 2.140 * [backup-simplify]: Simplify (+ 0 1) into 1 2.140 * [backup-simplify]: Simplify (sqrt 1) into 1 2.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.142 * [taylor]: Taking taylor expansion of x in y 2.142 * [backup-simplify]: Simplify x into x 2.142 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.142 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.142 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.142 * [taylor]: Taking taylor expansion of z in y 2.142 * [backup-simplify]: Simplify z into z 2.142 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.142 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.142 * [taylor]: Taking taylor expansion of y in y 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (* 1 1) into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [backup-simplify]: Simplify (+ 0 1) into 1 2.143 * [backup-simplify]: Simplify (+ 0 1) into 1 2.144 * [backup-simplify]: Simplify (sqrt 1) into 1 2.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ 0 0) into 0 2.145 * [backup-simplify]: Simplify (+ 0 0) into 0 2.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (* 1 1) into 1 2.146 * [backup-simplify]: Simplify (/ 1 1) into 1 2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.146 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.146 * [taylor]: Taking taylor expansion of z in x 2.146 * [backup-simplify]: Simplify z into z 2.146 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.146 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.146 * [taylor]: Taking taylor expansion of y in x 2.146 * [backup-simplify]: Simplify y into y 2.146 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.147 * [backup-simplify]: Simplify (+ 1 0) into 1 2.147 * [backup-simplify]: Simplify (sqrt 1) into 1 2.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ 0 0) into 0 2.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.149 * [taylor]: Taking taylor expansion of x in x 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [backup-simplify]: Simplify (* 1 1) into 1 2.149 * [backup-simplify]: Simplify (/ 1 1) into 1 2.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.149 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.149 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.149 * [taylor]: Taking taylor expansion of z in x 2.149 * [backup-simplify]: Simplify z into z 2.149 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.149 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.149 * [taylor]: Taking taylor expansion of y in x 2.149 * [backup-simplify]: Simplify y into y 2.149 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.149 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.150 * [backup-simplify]: Simplify (+ 1 0) into 1 2.150 * [backup-simplify]: Simplify (sqrt 1) into 1 2.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.151 * [taylor]: Taking taylor expansion of 1 in y 2.151 * [backup-simplify]: Simplify 1 into 1 2.152 * [taylor]: Taking taylor expansion of 0 in y 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [taylor]: Taking taylor expansion of 1 in z 2.152 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.156 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.157 * [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)))) 2.157 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.157 * [taylor]: Taking taylor expansion of 1/2 in y 2.157 * [backup-simplify]: Simplify 1/2 into 1/2 2.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.157 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.157 * [taylor]: Taking taylor expansion of z in y 2.157 * [backup-simplify]: Simplify z into z 2.157 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.157 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.157 * [taylor]: Taking taylor expansion of y in y 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (* 1 1) into 1 2.158 * [backup-simplify]: Simplify (/ 1 1) into 1 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (+ 0 0) into 0 2.159 * [backup-simplify]: Simplify (+ 0 1) into 1 2.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.159 * [taylor]: Taking taylor expansion of 0 in z 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [taylor]: Taking taylor expansion of 0 in z 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [taylor]: Taking taylor expansion of 0 in z 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.161 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.161 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 2.162 * [taylor]: Taking taylor expansion of 0 in y 2.162 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 2.164 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 2.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.164 * [taylor]: Taking taylor expansion of 1/2 in z 2.164 * [backup-simplify]: Simplify 1/2 into 1/2 2.164 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.164 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.164 * [taylor]: Taking taylor expansion of z in z 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [backup-simplify]: Simplify (* 1 1) into 1 2.164 * [backup-simplify]: Simplify (/ 1 1) into 1 2.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [taylor]: Taking taylor expansion of 0 in z 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [taylor]: Taking taylor expansion of 0 in z 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 2.169 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.170 * [backup-simplify]: Simplify (+ 0 0) into 0 2.170 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [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)))))) 2.172 * [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 2.172 * [taylor]: Taking taylor expansion of -1/2 in y 2.172 * [backup-simplify]: Simplify -1/2 into -1/2 2.172 * [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 2.172 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.172 * [taylor]: Taking taylor expansion of 1/4 in y 2.172 * [backup-simplify]: Simplify 1/4 into 1/4 2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.172 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.172 * [taylor]: Taking taylor expansion of z in y 2.172 * [backup-simplify]: Simplify z into z 2.172 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.172 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 2.172 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 2.172 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.173 * [taylor]: Taking taylor expansion of 1/2 in y 2.173 * [backup-simplify]: Simplify 1/2 into 1/2 2.173 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.173 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.173 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.173 * [taylor]: Taking taylor expansion of z in y 2.173 * [backup-simplify]: Simplify z into z 2.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.173 * [taylor]: Taking taylor expansion of y in y 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.173 * [backup-simplify]: Simplify (* 1 1) into 1 2.173 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 2.173 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.174 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.174 * [taylor]: Taking taylor expansion of 1/4 in y 2.174 * [backup-simplify]: Simplify 1/4 into 1/4 2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.174 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.174 * [taylor]: Taking taylor expansion of y in y 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (* 1 1) into 1 2.174 * [backup-simplify]: Simplify (* 1 1) into 1 2.174 * [backup-simplify]: Simplify (/ 1 1) into 1 2.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.175 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.175 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 2.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 2.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 2.182 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 2.182 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 2.183 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 2.184 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.184 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.185 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 2.185 * [taylor]: Taking taylor expansion of 0 in z 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [taylor]: Taking taylor expansion of 0 in z 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ 0 0) into 0 2.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 2.188 * [taylor]: Taking taylor expansion of 0 in z 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [taylor]: Taking taylor expansion of 0 in z 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [taylor]: Taking taylor expansion of 0 in z 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 2.190 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))))) (sqrt (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))))) 2.190 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 2.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 2.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.190 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.190 * [taylor]: Taking taylor expansion of x in z 2.190 * [backup-simplify]: Simplify x into x 2.190 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.190 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.190 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.190 * [taylor]: Taking taylor expansion of z in z 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 1 into 1 2.191 * [backup-simplify]: Simplify (* 1 1) into 1 2.191 * [backup-simplify]: Simplify (/ 1 1) into 1 2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.191 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.191 * [taylor]: Taking taylor expansion of y in z 2.191 * [backup-simplify]: Simplify y into y 2.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.191 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.191 * [backup-simplify]: Simplify (+ 1 0) into 1 2.192 * [backup-simplify]: Simplify (+ 0 1) into 1 2.192 * [backup-simplify]: Simplify (sqrt 1) into 1 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 2.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.194 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.194 * [taylor]: Taking taylor expansion of x in y 2.194 * [backup-simplify]: Simplify x into x 2.194 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.194 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.194 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.194 * [taylor]: Taking taylor expansion of z in y 2.194 * [backup-simplify]: Simplify z into z 2.194 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.194 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.194 * [taylor]: Taking taylor expansion of y in y 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (* 1 1) into 1 2.195 * [backup-simplify]: Simplify (/ 1 1) into 1 2.195 * [backup-simplify]: Simplify (+ 0 1) into 1 2.195 * [backup-simplify]: Simplify (+ 0 1) into 1 2.195 * [backup-simplify]: Simplify (sqrt 1) into 1 2.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (* 1 1) into 1 2.198 * [backup-simplify]: Simplify (/ 1 1) into 1 2.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.198 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.198 * [taylor]: Taking taylor expansion of z in x 2.198 * [backup-simplify]: Simplify z into z 2.198 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.198 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.198 * [taylor]: Taking taylor expansion of y in x 2.198 * [backup-simplify]: Simplify y into y 2.198 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.199 * [backup-simplify]: Simplify (+ 1 0) into 1 2.199 * [backup-simplify]: Simplify (sqrt 1) into 1 2.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (* 1 1) into 1 2.201 * [backup-simplify]: Simplify (/ 1 1) into 1 2.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.201 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.201 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.201 * [taylor]: Taking taylor expansion of z in x 2.201 * [backup-simplify]: Simplify z into z 2.201 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.201 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.201 * [taylor]: Taking taylor expansion of y in x 2.201 * [backup-simplify]: Simplify y into y 2.201 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.202 * [backup-simplify]: Simplify (+ 1 0) into 1 2.202 * [backup-simplify]: Simplify (sqrt 1) into 1 2.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify (+ 0 0) into 0 2.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.203 * [taylor]: Taking taylor expansion of 1 in y 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [taylor]: Taking taylor expansion of 0 in y 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [taylor]: Taking taylor expansion of 1 in z 2.203 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.205 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.206 * [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)))) 2.206 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.206 * [taylor]: Taking taylor expansion of 1/2 in y 2.206 * [backup-simplify]: Simplify 1/2 into 1/2 2.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.206 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.206 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.206 * [taylor]: Taking taylor expansion of z in y 2.206 * [backup-simplify]: Simplify z into z 2.206 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.206 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.206 * [taylor]: Taking taylor expansion of y in y 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 1 into 1 2.206 * [backup-simplify]: Simplify (* 1 1) into 1 2.207 * [backup-simplify]: Simplify (/ 1 1) into 1 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [backup-simplify]: Simplify (+ 0 1) into 1 2.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.208 * [taylor]: Taking taylor expansion of 0 in z 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [taylor]: Taking taylor expansion of 0 in z 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [taylor]: Taking taylor expansion of 0 in z 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.210 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.210 * [backup-simplify]: Simplify (+ 0 0) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 2.211 * [taylor]: Taking taylor expansion of 0 in y 2.211 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 2.213 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 2.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.213 * [taylor]: Taking taylor expansion of 1/2 in z 2.213 * [backup-simplify]: Simplify 1/2 into 1/2 2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.213 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.213 * [taylor]: Taking taylor expansion of z in z 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (* 1 1) into 1 2.213 * [backup-simplify]: Simplify (/ 1 1) into 1 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [taylor]: Taking taylor expansion of 0 in z 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [taylor]: Taking taylor expansion of 0 in z 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 2.217 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.219 * [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)))))) 2.219 * [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 2.219 * [taylor]: Taking taylor expansion of -1/2 in y 2.219 * [backup-simplify]: Simplify -1/2 into -1/2 2.219 * [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 2.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.219 * [taylor]: Taking taylor expansion of 1/4 in y 2.219 * [backup-simplify]: Simplify 1/4 into 1/4 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.219 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.219 * [taylor]: Taking taylor expansion of z in y 2.219 * [backup-simplify]: Simplify z into z 2.219 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.219 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 2.219 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 2.219 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.219 * [taylor]: Taking taylor expansion of 1/2 in y 2.219 * [backup-simplify]: Simplify 1/2 into 1/2 2.219 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.219 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.219 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.219 * [taylor]: Taking taylor expansion of z in y 2.219 * [backup-simplify]: Simplify z into z 2.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.219 * [taylor]: Taking taylor expansion of y in y 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.220 * [backup-simplify]: Simplify (* 1 1) into 1 2.220 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 2.220 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.220 * [taylor]: Taking taylor expansion of 1/4 in y 2.220 * [backup-simplify]: Simplify 1/4 into 1/4 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.220 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.220 * [taylor]: Taking taylor expansion of y in y 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (* 1 1) into 1 2.220 * [backup-simplify]: Simplify (* 1 1) into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.221 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.221 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 2.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 2.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 2.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 2.228 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 2.228 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 2.229 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 2.229 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 2.230 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.230 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.231 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 2.231 * [taylor]: Taking taylor expansion of 0 in z 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [taylor]: Taking taylor expansion of 0 in z 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 2.233 * [taylor]: Taking taylor expansion of 0 in z 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [taylor]: Taking taylor expansion of 0 in z 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [taylor]: Taking taylor expansion of 0 in z 2.233 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 2.235 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.235 * [backup-simplify]: Simplify (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) into (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) 2.235 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) in (x y z) around 0 2.235 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) in z 2.235 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in z 2.235 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in z 2.235 * [taylor]: Taking taylor expansion of 1/4 in z 2.235 * [backup-simplify]: Simplify 1/4 into 1/4 2.235 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 2.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 2.235 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.235 * [taylor]: Taking taylor expansion of x in z 2.235 * [backup-simplify]: Simplify x into x 2.235 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 2.235 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.236 * [taylor]: Taking taylor expansion of y in z 2.236 * [backup-simplify]: Simplify y into y 2.236 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.236 * [taylor]: Taking taylor expansion of z in z 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.236 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.236 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 2.236 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2))) 2.236 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow x 2) (pow y 2)))) into (* 1/4 (log (+ (pow x 2) (pow y 2)))) 2.236 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/4) 2.236 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) in y 2.236 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in y 2.236 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in y 2.237 * [taylor]: Taking taylor expansion of 1/4 in y 2.237 * [backup-simplify]: Simplify 1/4 into 1/4 2.237 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 2.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 2.237 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.237 * [taylor]: Taking taylor expansion of x in y 2.237 * [backup-simplify]: Simplify x into x 2.237 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.237 * [taylor]: Taking taylor expansion of y in y 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 1 into 1 2.237 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.237 * [taylor]: Taking taylor expansion of z in y 2.237 * [backup-simplify]: Simplify z into z 2.237 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.237 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.237 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 2.237 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 2.237 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow z 2))) into (log (+ (pow x 2) (pow z 2))) 2.237 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow x 2) (pow z 2)))) into (* 1/4 (log (+ (pow x 2) (pow z 2)))) 2.238 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/4) 2.238 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) in x 2.238 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x 2.238 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x 2.238 * [taylor]: Taking taylor expansion of 1/4 in x 2.238 * [backup-simplify]: Simplify 1/4 into 1/4 2.238 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 2.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 2.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 2.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.238 * [taylor]: Taking taylor expansion of y in x 2.238 * [backup-simplify]: Simplify y into y 2.238 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.238 * [taylor]: Taking taylor expansion of z in x 2.238 * [backup-simplify]: Simplify z into z 2.238 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.238 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.238 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 2.238 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 2.238 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2))) 2.239 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow z 2)))) into (* 1/4 (log (+ (pow y 2) (pow z 2)))) 2.239 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/4) 2.239 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) in x 2.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x 2.239 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x 2.239 * [taylor]: Taking taylor expansion of 1/4 in x 2.239 * [backup-simplify]: Simplify 1/4 into 1/4 2.239 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 2.239 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 2.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.239 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 2.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.239 * [taylor]: Taking taylor expansion of y in x 2.239 * [backup-simplify]: Simplify y into y 2.239 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.239 * [taylor]: Taking taylor expansion of z in x 2.239 * [backup-simplify]: Simplify z into z 2.239 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.239 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.239 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 2.239 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 2.240 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2))) 2.240 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow z 2)))) into (* 1/4 (log (+ (pow y 2) (pow z 2)))) 2.240 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/4) 2.240 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 1/4) in y 2.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) in y 2.240 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (pow z 2)))) in y 2.240 * [taylor]: Taking taylor expansion of 1/4 in y 2.240 * [backup-simplify]: Simplify 1/4 into 1/4 2.240 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow z 2))) in y 2.240 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.240 * [taylor]: Taking taylor expansion of y in y 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.240 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.240 * [taylor]: Taking taylor expansion of z in y 2.240 * [backup-simplify]: Simplify z into z 2.240 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.240 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 2.240 * [backup-simplify]: Simplify (log (pow z 2)) into (log (pow z 2)) 2.241 * [backup-simplify]: Simplify (* 1/4 (log (pow z 2))) into (* 1/4 (log (pow z 2))) 2.241 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow z 2)))) into (pow (pow z 2) 1/4) 2.241 * [taylor]: Taking taylor expansion of (pow (pow z 2) 1/4) in z 2.241 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow z 2)))) in z 2.241 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow z 2))) in z 2.241 * [taylor]: Taking taylor expansion of 1/4 in z 2.241 * [backup-simplify]: Simplify 1/4 into 1/4 2.241 * [taylor]: Taking taylor expansion of (log (pow z 2)) in z 2.241 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.241 * [taylor]: Taking taylor expansion of z in z 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (* 1 1) into 1 2.241 * [backup-simplify]: Simplify (log 1) into 0 2.242 * [backup-simplify]: Simplify (+ (* (- -2) (log z)) 0) into (* 2 (log z)) 2.242 * [backup-simplify]: Simplify (* 1/4 (* 2 (log z))) into (* 1/2 (log z)) 2.242 * [backup-simplify]: Simplify (exp (* 1/2 (log z))) into (pow z 1/2) 2.242 * [backup-simplify]: Simplify (pow z 1/2) into (pow z 1/2) 2.242 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.242 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 1) into 0 2.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (+ (pow y 2) (pow z 2))))) into 0 2.244 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.244 * [taylor]: Taking taylor expansion of 0 in y 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [taylor]: Taking taylor expansion of 0 in z 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 2.245 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow z 2) 1)))) 1) into 0 2.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow z 2)))) into 0 2.246 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow z 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.246 * [taylor]: Taking taylor expansion of 0 in z 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.248 * [backup-simplify]: Simplify (+ (* (- -2) (log z)) 0) into (* 2 (log z)) 2.251 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log z)))) into 0 2.251 * [backup-simplify]: Simplify (* (exp (* 1/2 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (* 1 1) into 1 2.252 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.252 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 2.253 * [backup-simplify]: Simplify (+ 0 0) into 0 2.253 * [backup-simplify]: Simplify (+ 1 0) into 1 2.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow y 2) (pow z 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 2) into (/ 1 (+ (pow y 2) (pow z 2))) 2.255 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (+ (pow y 2) (pow z 2)))) (+ (* 0 0) (* 0 (log (+ (pow y 2) (pow z 2)))))) into (* 1/4 (/ 1 (+ (pow y 2) (pow z 2)))) 2.256 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (+ (pow y 2) (pow z 2)))) 1) 1)))) into (* 1/4 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4)) 2.257 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4)) in y 2.257 * [taylor]: Taking taylor expansion of 1/4 in y 2.257 * [backup-simplify]: Simplify 1/4 into 1/4 2.257 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4) in y 2.257 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) in y 2.257 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)))) in y 2.257 * [taylor]: Taking taylor expansion of 1/4 in y 2.257 * [backup-simplify]: Simplify 1/4 into 1/4 2.257 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))) in y 2.257 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) in y 2.257 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 3) in y 2.257 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.257 * [taylor]: Taking taylor expansion of y in y 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 1 into 1 2.257 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.257 * [taylor]: Taking taylor expansion of z in y 2.257 * [backup-simplify]: Simplify z into z 2.257 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.257 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 2.257 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 2.258 * [backup-simplify]: Simplify (* (pow z 2) (pow z 4)) into (pow z 6) 2.258 * [backup-simplify]: Simplify (/ 1 (pow z 6)) into (/ 1 (pow z 6)) 2.258 * [backup-simplify]: Simplify (log (/ 1 (pow z 6))) into (log (/ 1 (pow z 6))) 2.258 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow z 6)))) into (* 1/4 (log (/ 1 (pow z 6)))) 2.258 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow z 6))))) into (pow (/ 1 (pow z 6)) 1/4) 2.258 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow z 6)) 1/4)) into (* 1/4 (sqrt (/ 1 (pow z 3)))) 2.258 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow z 3)))) in z 2.258 * [taylor]: Taking taylor expansion of 1/4 in z 2.258 * [backup-simplify]: Simplify 1/4 into 1/4 2.258 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z 2.258 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z 2.259 * [taylor]: Taking taylor expansion of (pow z 3) in z 2.259 * [taylor]: Taking taylor expansion of z in z 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.259 * [backup-simplify]: Simplify (* 1 1) into 1 2.259 * [backup-simplify]: Simplify (* 1 1) into 1 2.260 * [backup-simplify]: Simplify (/ 1 1) into 1 2.260 * [backup-simplify]: Simplify (sqrt 0) into 0 2.261 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.265 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.265 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.265 * [taylor]: Taking taylor expansion of 0 in z 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.266 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 2.266 * [backup-simplify]: Simplify (+ 1 0) into 1 2.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow z 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow z 2) 1)))) 2) into (/ 1 (pow z 2)) 2.268 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 (log (pow z 2))))) into (* 1/4 (/ 1 (pow z 2))) 2.268 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow z 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow z 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow z 3)))) 2.268 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow z 3)))) in z 2.268 * [taylor]: Taking taylor expansion of 1/4 in z 2.268 * [backup-simplify]: Simplify 1/4 into 1/4 2.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z 2.268 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z 2.268 * [taylor]: Taking taylor expansion of (pow z 3) in z 2.268 * [taylor]: Taking taylor expansion of z in z 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (* 1 1) into 1 2.269 * [backup-simplify]: Simplify (* 1 1) into 1 2.269 * [backup-simplify]: Simplify (/ 1 1) into 1 2.269 * [backup-simplify]: Simplify (sqrt 0) into 0 2.270 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.274 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.274 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.275 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (* y 1)) 2)) (+ (* (- +nan.0) (pow (* 1 (* 1 x)) 2)) (pow z 1/2))) into (- (pow z 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow y 2))))) 2.276 * [backup-simplify]: Simplify (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) 2.276 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in (x y z) around 0 2.276 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in z 2.276 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z 2.276 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z 2.276 * [taylor]: Taking taylor expansion of 1/4 in z 2.276 * [backup-simplify]: Simplify 1/4 into 1/4 2.276 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.276 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.276 * [taylor]: Taking taylor expansion of x in z 2.276 * [backup-simplify]: Simplify x into x 2.276 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.276 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.276 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.276 * [taylor]: Taking taylor expansion of z in z 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (* 1 1) into 1 2.277 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.277 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.277 * [taylor]: Taking taylor expansion of y in z 2.277 * [backup-simplify]: Simplify y into y 2.277 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.277 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.277 * [backup-simplify]: Simplify (+ 1 0) into 1 2.278 * [backup-simplify]: Simplify (+ 0 1) into 1 2.278 * [backup-simplify]: Simplify (log 1) into 0 2.278 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z))) 2.278 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log z)))) into (* -1/2 (log z)) 2.278 * [backup-simplify]: Simplify (exp (* -1/2 (log z))) into (pow z -1/2) 2.278 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in y 2.278 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y 2.279 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y 2.279 * [taylor]: Taking taylor expansion of 1/4 in y 2.279 * [backup-simplify]: Simplify 1/4 into 1/4 2.279 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 2.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.279 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.279 * [taylor]: Taking taylor expansion of x in y 2.279 * [backup-simplify]: Simplify x into x 2.279 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.279 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.279 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.279 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.279 * [taylor]: Taking taylor expansion of z in y 2.279 * [backup-simplify]: Simplify z into z 2.279 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.279 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.279 * [taylor]: Taking taylor expansion of y in y 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (* 1 1) into 1 2.280 * [backup-simplify]: Simplify (/ 1 1) into 1 2.280 * [backup-simplify]: Simplify (+ 0 1) into 1 2.281 * [backup-simplify]: Simplify (+ 0 1) into 1 2.281 * [backup-simplify]: Simplify (log 1) into 0 2.281 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.281 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y)) 2.281 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2) 2.282 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in x 2.282 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x 2.282 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x 2.282 * [taylor]: Taking taylor expansion of 1/4 in x 2.282 * [backup-simplify]: Simplify 1/4 into 1/4 2.282 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.282 * [taylor]: Taking taylor expansion of x in x 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (* 1 1) into 1 2.282 * [backup-simplify]: Simplify (/ 1 1) into 1 2.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.283 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.283 * [taylor]: Taking taylor expansion of z in x 2.283 * [backup-simplify]: Simplify z into z 2.283 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.283 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.283 * [taylor]: Taking taylor expansion of y in x 2.283 * [backup-simplify]: Simplify y into y 2.283 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.283 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.283 * [backup-simplify]: Simplify (+ 1 0) into 1 2.284 * [backup-simplify]: Simplify (log 1) into 0 2.284 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.284 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 2.284 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.284 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in x 2.284 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x 2.284 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x 2.284 * [taylor]: Taking taylor expansion of 1/4 in x 2.284 * [backup-simplify]: Simplify 1/4 into 1/4 2.284 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.285 * [taylor]: Taking taylor expansion of x in x 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [backup-simplify]: Simplify (* 1 1) into 1 2.285 * [backup-simplify]: Simplify (/ 1 1) into 1 2.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.285 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.285 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.285 * [taylor]: Taking taylor expansion of z in x 2.285 * [backup-simplify]: Simplify z into z 2.285 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.286 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.286 * [taylor]: Taking taylor expansion of y in x 2.286 * [backup-simplify]: Simplify y into y 2.286 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.286 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.286 * [backup-simplify]: Simplify (+ 1 0) into 1 2.286 * [backup-simplify]: Simplify (log 1) into 0 2.287 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.287 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 2.287 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.287 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 2.287 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 2.287 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 2.287 * [taylor]: Taking taylor expansion of -1/2 in y 2.287 * [backup-simplify]: Simplify -1/2 into -1/2 2.287 * [taylor]: Taking taylor expansion of (log x) in y 2.287 * [taylor]: Taking taylor expansion of x in y 2.287 * [backup-simplify]: Simplify x into x 2.287 * [backup-simplify]: Simplify (log x) into (log x) 2.287 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 2.287 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.287 * [taylor]: Taking taylor expansion of (pow x -1/2) in z 2.288 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in z 2.288 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in z 2.288 * [taylor]: Taking taylor expansion of -1/2 in z 2.288 * [backup-simplify]: Simplify -1/2 into -1/2 2.288 * [taylor]: Taking taylor expansion of (log x) in z 2.288 * [taylor]: Taking taylor expansion of x in z 2.288 * [backup-simplify]: Simplify x into x 2.288 * [backup-simplify]: Simplify (log x) into (log x) 2.288 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 2.288 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.288 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 2.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (+ 0 0) into 0 2.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.291 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.291 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 2.292 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.292 * [taylor]: Taking taylor expansion of 0 in y 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [taylor]: Taking taylor expansion of 0 in z 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.293 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 2.294 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.294 * [taylor]: Taking taylor expansion of 0 in z 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.295 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 2.296 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.298 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2))))) 2.300 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.301 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))) 2.302 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))) 1) 1)))) into (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2))))) 2.302 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2))))) in y 2.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 2.302 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.302 * [taylor]: Taking taylor expansion of x in y 2.302 * [backup-simplify]: Simplify x into x 2.302 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.302 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 2.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 2.302 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))) in y 2.302 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 2))) in y 2.302 * [taylor]: Taking taylor expansion of 1/4 in y 2.302 * [backup-simplify]: Simplify 1/4 into 1/4 2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.302 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.302 * [taylor]: Taking taylor expansion of z in y 2.302 * [backup-simplify]: Simplify z into z 2.302 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.302 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.302 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 2))) in y 2.302 * [taylor]: Taking taylor expansion of 1/4 in y 2.302 * [backup-simplify]: Simplify 1/4 into 1/4 2.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.303 * [taylor]: Taking taylor expansion of y in y 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 1 into 1 2.303 * [backup-simplify]: Simplify (* 1 1) into 1 2.303 * [backup-simplify]: Simplify (/ 1 1) into 1 2.303 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow z 2))) into (/ 1/4 (pow z 2)) 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 2.307 * [backup-simplify]: Simplify (+ (/ 1/4 (pow z 2)) 0) into (* 1/4 (/ 1 (pow z 2))) 2.308 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0 2.309 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 2.309 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.310 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) (* 1/4 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow z 2)))) 2.310 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow z 2)))) in z 2.310 * [taylor]: Taking taylor expansion of 1/4 in z 2.310 * [backup-simplify]: Simplify 1/4 into 1/4 2.310 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow z 2))) in z 2.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z 2.310 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.310 * [taylor]: Taking taylor expansion of x in z 2.310 * [backup-simplify]: Simplify x into x 2.311 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.311 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 2.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.311 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.311 * [taylor]: Taking taylor expansion of z in z 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (* 1 1) into 1 2.312 * [backup-simplify]: Simplify (/ 1 1) into 1 2.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0 2.315 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 2.316 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 2.316 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 2.317 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 x))))) into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [taylor]: Taking taylor expansion of 0 in z 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.319 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.320 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.320 * [taylor]: Taking taylor expansion of 0 in z 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2) 2.321 * [backup-simplify]: Simplify (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) 2.321 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in (x y z) around 0 2.321 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in z 2.321 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z 2.321 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z 2.321 * [taylor]: Taking taylor expansion of 1/4 in z 2.321 * [backup-simplify]: Simplify 1/4 into 1/4 2.321 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 2.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.321 * [taylor]: Taking taylor expansion of x in z 2.321 * [backup-simplify]: Simplify x into x 2.321 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.321 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.321 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.321 * [taylor]: Taking taylor expansion of z in z 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (* 1 1) into 1 2.322 * [backup-simplify]: Simplify (/ 1 1) into 1 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.322 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.322 * [taylor]: Taking taylor expansion of y in z 2.322 * [backup-simplify]: Simplify y into y 2.322 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.322 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.323 * [backup-simplify]: Simplify (+ 1 0) into 1 2.323 * [backup-simplify]: Simplify (+ 0 1) into 1 2.323 * [backup-simplify]: Simplify (log 1) into 0 2.324 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z))) 2.324 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log z)))) into (* -1/2 (log z)) 2.324 * [backup-simplify]: Simplify (exp (* -1/2 (log z))) into (pow z -1/2) 2.324 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in y 2.324 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y 2.324 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y 2.324 * [taylor]: Taking taylor expansion of 1/4 in y 2.324 * [backup-simplify]: Simplify 1/4 into 1/4 2.324 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 2.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.324 * [taylor]: Taking taylor expansion of x in y 2.324 * [backup-simplify]: Simplify x into x 2.324 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.324 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.324 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.324 * [taylor]: Taking taylor expansion of z in y 2.324 * [backup-simplify]: Simplify z into z 2.325 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.325 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.325 * [taylor]: Taking taylor expansion of y in y 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (* 1 1) into 1 2.325 * [backup-simplify]: Simplify (/ 1 1) into 1 2.326 * [backup-simplify]: Simplify (+ 0 1) into 1 2.326 * [backup-simplify]: Simplify (+ 0 1) into 1 2.326 * [backup-simplify]: Simplify (log 1) into 0 2.327 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.327 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y)) 2.327 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2) 2.327 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in x 2.327 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x 2.327 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x 2.327 * [taylor]: Taking taylor expansion of 1/4 in x 2.327 * [backup-simplify]: Simplify 1/4 into 1/4 2.327 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.327 * [taylor]: Taking taylor expansion of x in x 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.328 * [backup-simplify]: Simplify (* 1 1) into 1 2.328 * [backup-simplify]: Simplify (/ 1 1) into 1 2.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.328 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.328 * [taylor]: Taking taylor expansion of z in x 2.328 * [backup-simplify]: Simplify z into z 2.328 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.328 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.328 * [taylor]: Taking taylor expansion of y in x 2.328 * [backup-simplify]: Simplify y into y 2.328 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.328 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.329 * [backup-simplify]: Simplify (+ 1 0) into 1 2.329 * [backup-simplify]: Simplify (log 1) into 0 2.329 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.330 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 2.330 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.330 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in x 2.330 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x 2.330 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x 2.330 * [taylor]: Taking taylor expansion of 1/4 in x 2.330 * [backup-simplify]: Simplify 1/4 into 1/4 2.330 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 2.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.330 * [taylor]: Taking taylor expansion of x in x 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (* 1 1) into 1 2.331 * [backup-simplify]: Simplify (/ 1 1) into 1 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 2.331 * [taylor]: Taking taylor expansion of (pow z 2) in x 2.331 * [taylor]: Taking taylor expansion of z in x 2.331 * [backup-simplify]: Simplify z into z 2.331 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.331 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.331 * [taylor]: Taking taylor expansion of y in x 2.331 * [backup-simplify]: Simplify y into y 2.331 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.331 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.331 * [backup-simplify]: Simplify (+ 1 0) into 1 2.332 * [backup-simplify]: Simplify (log 1) into 0 2.332 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.332 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 2.332 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.332 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 2.332 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 2.332 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 2.332 * [taylor]: Taking taylor expansion of -1/2 in y 2.333 * [backup-simplify]: Simplify -1/2 into -1/2 2.333 * [taylor]: Taking taylor expansion of (log x) in y 2.333 * [taylor]: Taking taylor expansion of x in y 2.333 * [backup-simplify]: Simplify x into x 2.333 * [backup-simplify]: Simplify (log x) into (log x) 2.333 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 2.333 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.333 * [taylor]: Taking taylor expansion of (pow x -1/2) in z 2.333 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in z 2.333 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in z 2.333 * [taylor]: Taking taylor expansion of -1/2 in z 2.333 * [backup-simplify]: Simplify -1/2 into -1/2 2.333 * [taylor]: Taking taylor expansion of (log x) in z 2.333 * [taylor]: Taking taylor expansion of x in z 2.333 * [backup-simplify]: Simplify x into x 2.333 * [backup-simplify]: Simplify (log x) into (log x) 2.333 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 2.333 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.333 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.336 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.336 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 2.337 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.337 * [taylor]: Taking taylor expansion of 0 in y 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [taylor]: Taking taylor expansion of 0 in z 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.338 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 2.339 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.339 * [taylor]: Taking taylor expansion of 0 in z 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.340 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 2.341 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.341 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.343 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 2.345 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2))))) 2.345 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.346 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))) 2.347 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))) 1) 1)))) into (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2))))) 2.347 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2))))) in y 2.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 2.347 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.347 * [taylor]: Taking taylor expansion of x in y 2.347 * [backup-simplify]: Simplify x into x 2.347 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.347 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 2.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 2.347 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))) in y 2.347 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 2))) in y 2.347 * [taylor]: Taking taylor expansion of 1/4 in y 2.347 * [backup-simplify]: Simplify 1/4 into 1/4 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.348 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.348 * [taylor]: Taking taylor expansion of z in y 2.348 * [backup-simplify]: Simplify z into z 2.348 * [backup-simplify]: Simplify (* z z) into (pow z 2) 2.348 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 2.348 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 2))) in y 2.348 * [taylor]: Taking taylor expansion of 1/4 in y 2.348 * [backup-simplify]: Simplify 1/4 into 1/4 2.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.348 * [taylor]: Taking taylor expansion of y in y 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (* 1 1) into 1 2.349 * [backup-simplify]: Simplify (/ 1 1) into 1 2.349 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow z 2))) into (/ 1/4 (pow z 2)) 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 2.352 * [backup-simplify]: Simplify (+ (/ 1/4 (pow z 2)) 0) into (* 1/4 (/ 1 (pow z 2))) 2.352 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 2.353 * [backup-simplify]: Simplify (+ 0 0) into 0 2.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0 2.354 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 2.354 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.354 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) (* 1/4 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow z 2)))) 2.354 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow z 2)))) in z 2.354 * [taylor]: Taking taylor expansion of 1/4 in z 2.354 * [backup-simplify]: Simplify 1/4 into 1/4 2.354 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow z 2))) in z 2.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z 2.354 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.354 * [taylor]: Taking taylor expansion of x in z 2.355 * [backup-simplify]: Simplify x into x 2.355 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.355 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 2.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.355 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.355 * [taylor]: Taking taylor expansion of z in z 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (* 1 1) into 1 2.355 * [backup-simplify]: Simplify (/ 1 1) into 1 2.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0 2.358 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 2.359 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 2.359 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 2.359 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 x))))) into 0 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [taylor]: Taking taylor expansion of 0 in z 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.361 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.362 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.362 * [taylor]: Taking taylor expansion of 0 in z 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2) 2.362 * * * [progress]: simplifying candidates 2.368 * [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)))) (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)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* 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)))) (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ 1 1) (+ (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (log (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (exp (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))))) (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))) (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))))) (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))))) (* (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))) (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))))) (* (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z))))) (* (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) (* (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))))) (* (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* 1 1) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))))) (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (exp (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) z x (* -1 x) z x (* -1 x) z x (* -1 x) (- (pow z 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow y 2))))) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 3.028 * * * [progress]: adding candidates to table 3.385 * * [progress]: iteration 3 / 4 3.385 * * * [progress]: picking best candidate 3.389 * * * * [pick]: Picked # 3.389 * * * [progress]: localizing error 3.390 * * * [progress]: generating rewritten candidates 3.390 * * * [progress]: generating series expansions 3.390 * * * [progress]: simplifying candidates 3.391 * [simplify]: Simplifying: 3.406 * * * [progress]: adding candidates to table 3.407 * * [progress]: iteration 4 / 4 3.407 * * * [progress]: picking best candidate 3.409 * * * * [pick]: Picked # 3.409 * * * [progress]: localizing error 3.410 * * * [progress]: generating rewritten candidates 3.410 * * * [progress]: generating series expansions 3.410 * * * [progress]: simplifying candidates 3.411 * [simplify]: Simplifying: 3.426 * * * [progress]: adding candidates to table 3.426 * [progress]: [Phase 3 of 3] Extracting. 3.426 * * [regime]: Finding splitpoints for: (# # # # #) 3.427 * * * [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) 3.427 * * * * [regimes]: Trying to branch on (* z z) from (# # # # #) 3.454 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 3.479 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 3.498 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 3.522 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 3.539 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 3.571 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 3.595 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # # #) 3.623 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# #) 3.643 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # # #) 3.675 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# #) 3.700 * * * * [regimes]: Trying to branch on z from (# # # # #) 3.734 * * * * [regimes]: Trying to branch on y from (# # # # #) 3.761 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.800 * * * [regime]: Found split indices: #