81.079 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [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))) 0.034 * [simplify]: Sending expressions to egg_math: (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.114 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.152 * * * [progress]: generating series expansions 0.152 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.153 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.153 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.153 * [taylor]: Taking taylor expansion of x in z 0.153 * [backup-simplify]: Simplify x into x 0.153 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.153 * [taylor]: Taking taylor expansion of y in z 0.153 * [backup-simplify]: Simplify y into y 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.153 * [taylor]: Taking taylor expansion of z in z 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.153 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.153 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.153 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.153 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.153 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.154 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.155 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.155 * [taylor]: Taking taylor expansion of z in y 0.155 * [backup-simplify]: Simplify z into z 0.155 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.155 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.155 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.155 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.155 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.155 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.155 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.156 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [backup-simplify]: Simplify y into y 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.156 * [taylor]: Taking taylor expansion of z in x 0.156 * [backup-simplify]: Simplify z into z 0.156 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.156 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.156 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.157 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.157 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.157 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.157 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [backup-simplify]: Simplify y into y 0.158 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.158 * [taylor]: Taking taylor expansion of z in x 0.158 * [backup-simplify]: Simplify z into z 0.158 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.158 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.158 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.158 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.158 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.159 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.159 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.160 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.160 * [taylor]: Taking taylor expansion of z in y 0.160 * [backup-simplify]: Simplify z into z 0.160 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.160 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.160 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.160 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.161 * [taylor]: Taking taylor expansion of z in z 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.162 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [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))))) 0.164 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.164 * [taylor]: Taking taylor expansion of 1/2 in y 0.164 * [backup-simplify]: Simplify 1/2 into 1/2 0.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.164 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.164 * [taylor]: Taking taylor expansion of z in y 0.164 * [backup-simplify]: Simplify z into z 0.164 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.164 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.165 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.165 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.165 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.166 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.166 * [taylor]: Taking taylor expansion of 1/2 in z 0.166 * [backup-simplify]: Simplify 1/2 into 1/2 0.166 * [taylor]: Taking taylor expansion of z in z 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [taylor]: Taking taylor expansion of 0 in z 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.168 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.169 * [taylor]: Taking taylor expansion of 1/2 in z 0.169 * [backup-simplify]: Simplify 1/2 into 1/2 0.169 * [taylor]: Taking taylor expansion of z in z 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.171 * [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))))) 0.171 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.171 * [taylor]: Taking taylor expansion of x in z 0.171 * [backup-simplify]: Simplify x into x 0.171 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.171 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.171 * [taylor]: Taking taylor expansion of z in z 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.172 * [taylor]: Taking taylor expansion of y in z 0.172 * [backup-simplify]: Simplify y into y 0.172 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.172 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.173 * [backup-simplify]: Simplify (+ 0 1) into 1 0.173 * [backup-simplify]: Simplify (sqrt 1) into 1 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [backup-simplify]: Simplify x into x 0.176 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.176 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.176 * [taylor]: Taking taylor expansion of z in y 0.176 * [backup-simplify]: Simplify z into z 0.176 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.176 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.178 * [backup-simplify]: Simplify (sqrt 1) into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.181 * [taylor]: Taking taylor expansion of z in x 0.181 * [backup-simplify]: Simplify z into z 0.181 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.181 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.181 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.181 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.182 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (sqrt 1) into 1 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.185 * [taylor]: Taking taylor expansion of z in x 0.185 * [backup-simplify]: Simplify z into z 0.185 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.185 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [backup-simplify]: Simplify y into y 0.185 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.186 * [backup-simplify]: Simplify (sqrt 1) into 1 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.188 * [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 1 in y 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [taylor]: Taking taylor expansion of 1 in z 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.190 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.192 * [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)))) 0.192 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.192 * [taylor]: Taking taylor expansion of 1/2 in y 0.192 * [backup-simplify]: Simplify 1/2 into 1/2 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.192 * [taylor]: Taking taylor expansion of z in y 0.192 * [backup-simplify]: Simplify z into z 0.192 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.192 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 1) into 1 0.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.202 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.206 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.206 * [taylor]: Taking taylor expansion of 1/2 in z 0.206 * [backup-simplify]: Simplify 1/2 into 1/2 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.206 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.206 * [taylor]: Taking taylor expansion of z in z 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [taylor]: Taking taylor expansion of 0 in z 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [taylor]: Taking taylor expansion of 0 in z 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.211 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [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)))))) 0.214 * [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 0.214 * [taylor]: Taking taylor expansion of -1/2 in y 0.214 * [backup-simplify]: Simplify -1/2 into -1/2 0.214 * [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 0.214 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.214 * [taylor]: Taking taylor expansion of 1/4 in y 0.214 * [backup-simplify]: Simplify 1/4 into 1/4 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.214 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.214 * [taylor]: Taking taylor expansion of z in y 0.214 * [backup-simplify]: Simplify z into z 0.214 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.214 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.214 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.214 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.215 * [taylor]: Taking taylor expansion of 1/2 in y 0.215 * [backup-simplify]: Simplify 1/2 into 1/2 0.215 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.215 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.215 * [taylor]: Taking taylor expansion of z in y 0.215 * [backup-simplify]: Simplify z into z 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.215 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.215 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.215 * [taylor]: Taking taylor expansion of 1/4 in y 0.215 * [backup-simplify]: Simplify 1/4 into 1/4 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.216 * [taylor]: Taking taylor expansion of (pow y 4) 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 (* 1 1) into 1 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.218 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.219 * [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 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.227 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.227 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.227 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.229 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.229 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.230 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.237 * [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))))) 0.237 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.237 * [taylor]: Taking taylor expansion of x in z 0.237 * [backup-simplify]: Simplify x into x 0.237 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.237 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.237 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.237 * [taylor]: Taking taylor expansion of z in z 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.238 * [taylor]: Taking taylor expansion of y in z 0.238 * [backup-simplify]: Simplify y into y 0.238 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.238 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.239 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [backup-simplify]: Simplify (+ 0 1) into 1 0.239 * [backup-simplify]: Simplify (sqrt 1) into 1 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [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 y 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [backup-simplify]: Simplify x into x 0.242 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.242 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.242 * [taylor]: Taking taylor expansion of z in y 0.242 * [backup-simplify]: Simplify z into z 0.242 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.242 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.244 * [backup-simplify]: Simplify (+ 0 1) into 1 0.244 * [backup-simplify]: Simplify (sqrt 1) into 1 0.245 * [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 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.247 * [taylor]: Taking taylor expansion of z in x 0.247 * [backup-simplify]: Simplify z into z 0.247 * [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 x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [backup-simplify]: Simplify y into y 0.248 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.248 * [backup-simplify]: Simplify (+ 1 0) into 1 0.249 * [backup-simplify]: Simplify (sqrt 1) into 1 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.251 * [taylor]: Taking taylor expansion of z in x 0.251 * [backup-simplify]: Simplify z into z 0.252 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.252 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [backup-simplify]: Simplify y into y 0.252 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.252 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [backup-simplify]: Simplify (sqrt 1) into 1 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.255 * [taylor]: Taking taylor expansion of 1 in y 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [taylor]: Taking taylor expansion of 1 in z 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.257 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.258 * [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)))) 0.258 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.258 * [taylor]: Taking taylor expansion of 1/2 in y 0.258 * [backup-simplify]: Simplify 1/2 into 1/2 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.258 * [taylor]: Taking taylor expansion of z in y 0.258 * [backup-simplify]: Simplify z into z 0.258 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.259 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 1) into 1 0.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.262 * [taylor]: Taking taylor expansion of 0 in z 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [taylor]: Taking taylor expansion of 0 in z 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [taylor]: Taking taylor expansion of 0 in z 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.264 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.268 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.268 * [taylor]: Taking taylor expansion of 1/2 in z 0.268 * [backup-simplify]: Simplify 1/2 into 1/2 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.268 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.268 * [taylor]: Taking taylor expansion of z in z 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [taylor]: Taking taylor expansion of 0 in z 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [taylor]: Taking taylor expansion of 0 in z 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.274 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [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)))))) 0.276 * [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 0.276 * [taylor]: Taking taylor expansion of -1/2 in y 0.276 * [backup-simplify]: Simplify -1/2 into -1/2 0.276 * [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 0.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.276 * [taylor]: Taking taylor expansion of 1/4 in y 0.276 * [backup-simplify]: Simplify 1/4 into 1/4 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.276 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.276 * [taylor]: Taking taylor expansion of z in y 0.276 * [backup-simplify]: Simplify z into z 0.276 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.277 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.277 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.277 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.277 * [taylor]: Taking taylor expansion of 1/2 in y 0.277 * [backup-simplify]: Simplify 1/2 into 1/2 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.277 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.277 * [taylor]: Taking taylor expansion of z in y 0.277 * [backup-simplify]: Simplify z into z 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.278 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.278 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.278 * [taylor]: Taking taylor expansion of 1/4 in y 0.278 * [backup-simplify]: Simplify 1/4 into 1/4 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.279 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.286 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.287 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.288 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.288 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.289 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.289 * [taylor]: Taking taylor expansion of 0 in z 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [taylor]: Taking taylor expansion of 0 in z 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.291 * [taylor]: Taking taylor expansion of 0 in z 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [taylor]: Taking taylor expansion of 0 in z 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [taylor]: Taking taylor expansion of 0 in z 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.293 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.293 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.293 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.293 * [taylor]: Taking taylor expansion of x in z 0.293 * [backup-simplify]: Simplify x into x 0.293 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.293 * [taylor]: Taking taylor expansion of y in z 0.293 * [backup-simplify]: Simplify y into y 0.293 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.293 * [taylor]: Taking taylor expansion of z in z 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [backup-simplify]: Simplify x into x 0.293 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.294 * [taylor]: Taking taylor expansion of z in y 0.294 * [backup-simplify]: Simplify z into z 0.294 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [backup-simplify]: Simplify y into y 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.294 * [taylor]: Taking taylor expansion of z in x 0.294 * [backup-simplify]: Simplify z into z 0.294 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [backup-simplify]: Simplify y into y 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.294 * [taylor]: Taking taylor expansion of z in x 0.294 * [backup-simplify]: Simplify z into z 0.294 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.294 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.294 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.294 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.294 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.295 * [taylor]: Taking taylor expansion of z in y 0.295 * [backup-simplify]: Simplify z into z 0.295 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.295 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.295 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.295 * [taylor]: Taking taylor expansion of z in z 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.295 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [taylor]: Taking taylor expansion of 0 in z 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [taylor]: Taking taylor expansion of 0 in z 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.297 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ 1 0) into 1 0.297 * [taylor]: Taking taylor expansion of 1 in y 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of 1 in z 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of 0 in z 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.298 * [backup-simplify]: Simplify (+ 1 0) into 1 0.298 * [taylor]: Taking taylor expansion of 1 in z 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [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))) 0.299 * [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)))) 0.299 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.300 * [taylor]: Taking taylor expansion of x in z 0.300 * [backup-simplify]: Simplify x into x 0.300 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.300 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.300 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.300 * [taylor]: Taking taylor expansion of z in z 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.300 * [taylor]: Taking taylor expansion of y in z 0.300 * [backup-simplify]: Simplify y into y 0.300 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.300 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [backup-simplify]: Simplify x into x 0.301 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.301 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.301 * [taylor]: Taking taylor expansion of z in y 0.301 * [backup-simplify]: Simplify z into z 0.301 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.301 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.302 * [taylor]: Taking taylor expansion of z in x 0.302 * [backup-simplify]: Simplify z into z 0.302 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.302 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.303 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.303 * [taylor]: Taking taylor expansion of z in x 0.303 * [backup-simplify]: Simplify z into z 0.303 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.303 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [backup-simplify]: Simplify y into y 0.303 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [taylor]: Taking taylor expansion of 1 in y 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.307 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.307 * [taylor]: Taking taylor expansion of z in y 0.307 * [backup-simplify]: Simplify z into z 0.307 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.307 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (+ 0 1) into 1 0.308 * [taylor]: Taking taylor expansion of 1 in z 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of 1 in z 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.309 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [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 0.312 * [taylor]: Taking taylor expansion of 0 in z 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [taylor]: Taking taylor expansion of 0 in z 0.312 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.316 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.318 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.318 * [taylor]: Taking taylor expansion of z in z 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [taylor]: Taking taylor expansion of 0 in z 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [taylor]: Taking taylor expansion of 0 in z 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [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))) 0.320 * [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)))) 0.320 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.320 * [taylor]: Taking taylor expansion of x in z 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 z 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.320 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.320 * [taylor]: Taking taylor expansion of z in z 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 y 2)) in z 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.321 * [taylor]: Taking taylor expansion of y in z 0.321 * [backup-simplify]: Simplify y into y 0.321 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [backup-simplify]: Simplify x into x 0.321 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.322 * [taylor]: Taking taylor expansion of z in y 0.322 * [backup-simplify]: Simplify z into z 0.322 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.322 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [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 x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.323 * [taylor]: Taking taylor expansion of z in x 0.323 * [backup-simplify]: Simplify z into z 0.323 * [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 0.325 * [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 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.327 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.327 * [taylor]: Taking taylor expansion of z in y 0.327 * [backup-simplify]: Simplify z into z 0.327 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.327 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (* 1 1) into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (+ 0 1) into 1 0.328 * [taylor]: Taking taylor expansion of 1 in z 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of 1 in z 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.330 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [taylor]: Taking taylor expansion of 0 in z 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [taylor]: Taking taylor expansion of 0 in z 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [taylor]: Taking taylor expansion of 0 in z 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.334 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.336 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.336 * [taylor]: Taking taylor expansion of z in z 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of 0 in z 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [taylor]: Taking taylor expansion of 0 in z 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [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))) 0.337 * * * [progress]: simplifying candidates 0.338 * [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))) 0.338 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (exp (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (* (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (* (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (* (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (sqrt (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt 1) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))) (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (* (* (exp (* h2 h2)) (exp (* h1 h1))) (exp (* h0 h0))) (* (exp (+ (* h2 h2) (* h1 h1))) (exp (* h0 h0))) (log (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (exp (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (* (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (* (* (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)) (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3)) (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0))) (- (+ (* h2 h2) (* h1 h1)) (* h0 h0)) (+ (* h1 h1) (* h0 h0)) h0 h2 (* -1 h2) (+ (pow h2 2) (+ (pow h1 2) (pow h0 2))) (+ (pow h2 2) (+ (pow h1 2) (pow h0 2))) (+ (pow h2 2) (+ (pow h1 2) (pow h0 2))) 0.390 * * * [progress]: adding candidates to table 0.490 * * [progress]: iteration 2 / 4 0.490 * * * [progress]: picking best candidate 0.493 * * * * [pick]: Picked # 0.493 * * * [progress]: localizing error 0.494 * * * [progress]: generating rewritten candidates 0.494 * * * [progress]: generating series expansions 0.494 * * * [progress]: simplifying candidates 0.494 * [simplify]: Simplifying: 0.494 * [simplify]: Sending expressions to egg_math: 0.495 * * * [progress]: adding candidates to table 0.495 * * [progress]: iteration 3 / 4 0.495 * * * [progress]: picking best candidate 0.497 * * * * [pick]: Picked # 0.497 * * * [progress]: localizing error 0.503 * * * [progress]: generating rewritten candidates 0.503 * * * [progress]: generating series expansions 0.503 * * * [progress]: simplifying candidates 0.503 * [simplify]: Simplifying: 0.503 * [simplify]: Sending expressions to egg_math: 0.504 * * * [progress]: adding candidates to table 0.504 * * [progress]: iteration 4 / 4 0.504 * * * [progress]: picking best candidate 0.505 * * * * [pick]: Picked # 0.505 * * * [progress]: localizing error 0.506 * * * [progress]: generating rewritten candidates 0.506 * * * [progress]: generating series expansions 0.506 * * * [progress]: simplifying candidates 0.506 * [simplify]: Simplifying: 0.506 * [simplify]: Sending expressions to egg_math: 0.507 * * * [progress]: adding candidates to table 0.508 * [progress]: [Phase 3 of 3] Extracting. 0.508 * * [regime]: Finding splitpoints for: (# # # #) 0.508 * * * [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) 0.508 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 0.532 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.556 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 0.580 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.606 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.629 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 0.650 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.673 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # #) 0.697 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # #) 0.731 * * * * [regimes]: Trying to branch on z from (# # # #) 0.765 * * * * [regimes]: Trying to branch on y from (# # # #) 0.803 * * * * [regimes]: Trying to branch on x from (# # # #) 0.875 * * * [regime]: Found split indices: #