41.034 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.037 * * [simplify]: iteration 0: 9 enodes 0.038 * * [simplify]: iteration 1: 13 enodes 0.040 * * [simplify]: iteration 2: 19 enodes 0.043 * * [simplify]: iteration 3: 20 enodes 0.045 * * [simplify]: iteration complete: 20 enodes 0.045 * * [simplify]: Extracting #0: cost 1 inf + 0 0.045 * * [simplify]: Extracting #1: cost 2 inf + 0 0.045 * * [simplify]: Extracting #2: cost 8 inf + 0 0.046 * * [simplify]: Extracting #3: cost 11 inf + 0 0.046 * * [simplify]: Extracting #4: cost 8 inf + 3 0.046 * * [simplify]: Extracting #5: cost 1 inf + 816 0.046 * * [simplify]: Extracting #6: cost 0 inf + 938 0.046 * [simplify]: Simplified to: (sqrt (+ (* z z) (+ (* x x) (* y y)))) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.074 * * * [progress]: generating rewritten candidates 0.074 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.109 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.123 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.155 * * * [progress]: generating series expansions 0.155 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.155 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) 0.155 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z 0.155 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.155 * [taylor]: Taking taylor expansion of y in z 0.155 * [backup-simplify]: Simplify y into y 0.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.155 * [taylor]: Taking taylor expansion of x in z 0.155 * [backup-simplify]: Simplify x into x 0.155 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.155 * [taylor]: Taking taylor expansion of z in z 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.156 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.156 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.156 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2)) 0.156 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2))) 0.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.156 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) 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 x 2))))) into 0 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y 0.157 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [backup-simplify]: Simplify x into x 0.157 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.157 * [taylor]: Taking taylor expansion of z in y 0.157 * [backup-simplify]: Simplify z into z 0.157 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.157 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.157 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.158 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2)) 0.158 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.158 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.158 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x 0.159 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.159 * [taylor]: Taking taylor expansion of z in x 0.159 * [backup-simplify]: Simplify z into z 0.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.159 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.159 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.159 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.159 * [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 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [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 x 2) (pow z 2)))) in x 0.160 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [backup-simplify]: Simplify y into y 0.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 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 x 0.160 * [taylor]: Taking taylor expansion of z in x 0.160 * [backup-simplify]: Simplify z into z 0.160 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.160 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.160 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.161 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.161 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.161 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.161 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.162 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.162 * [taylor]: Taking taylor expansion of z in y 0.162 * [backup-simplify]: Simplify z into z 0.162 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.162 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.162 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.162 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.162 * [taylor]: Taking taylor expansion of z in z 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [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))))) 0.165 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.165 * [taylor]: Taking taylor expansion of 1/2 in y 0.165 * [backup-simplify]: Simplify 1/2 into 1/2 0.165 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.165 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.165 * [taylor]: Taking taylor expansion of z in y 0.165 * [backup-simplify]: Simplify z into z 0.165 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.165 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.165 * [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 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.166 * [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 0.167 * [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 0.168 * [taylor]: Taking taylor expansion of 1/2 in z 0.168 * [backup-simplify]: Simplify 1/2 into 1/2 0.168 * [taylor]: Taking taylor expansion of z in z 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.170 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) 0.170 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.170 * [taylor]: Taking taylor expansion of y in z 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.170 * [taylor]: Taking taylor expansion of x in z 0.170 * [backup-simplify]: Simplify x into x 0.170 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.170 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.170 * [taylor]: Taking taylor expansion of z in z 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.172 * [backup-simplify]: Simplify (sqrt 1) into 1 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 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 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [backup-simplify]: Simplify x into x 0.175 * [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)) 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [backup-simplify]: Simplify (sqrt 1) into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [backup-simplify]: Simplify y into y 0.180 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.180 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 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 0.180 * [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)) 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (+ 0 1) into 1 0.182 * [backup-simplify]: Simplify (sqrt 1) into 1 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.187 * [taylor]: Taking taylor expansion of z in x 0.187 * [backup-simplify]: Simplify z into z 0.187 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.187 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (+ 0 1) into 1 0.188 * [backup-simplify]: Simplify (sqrt 1) into 1 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [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 1 in y 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [taylor]: Taking taylor expansion of 1 in z 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2)) 0.196 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.197 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.197 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.197 * [taylor]: Taking taylor expansion of 1/2 in y 0.197 * [backup-simplify]: Simplify 1/2 into 1/2 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [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)) in y 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.198 * [taylor]: Taking taylor expansion of z in y 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 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.201 * [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 (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2)) 0.204 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.204 * [taylor]: Taking taylor expansion of 1/2 in z 0.204 * [backup-simplify]: Simplify 1/2 into 1/2 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.204 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.204 * [taylor]: Taking taylor expansion of z in z 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 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 * [taylor]: Taking taylor expansion of 0 in z 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) 0.210 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y 0.210 * [taylor]: Taking taylor expansion of -1/2 in y 0.210 * [backup-simplify]: Simplify -1/2 into -1/2 0.210 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y 0.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.210 * [taylor]: Taking taylor expansion of 1/2 in y 0.210 * [backup-simplify]: Simplify 1/2 into 1/2 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.210 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.210 * [taylor]: Taking taylor expansion of z in y 0.210 * [backup-simplify]: Simplify z into z 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.211 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y 0.211 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.211 * [taylor]: Taking taylor expansion of 1/4 in y 0.211 * [backup-simplify]: Simplify 1/4 into 1/4 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.212 * [taylor]: Taking taylor expansion of 1/4 in y 0.212 * [backup-simplify]: Simplify 1/4 into 1/4 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.212 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.212 * [taylor]: Taking taylor expansion of z in y 0.212 * [backup-simplify]: Simplify z into z 0.212 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.212 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.212 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.213 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.226 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.226 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.227 * [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 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.236 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) 0.236 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.236 * [taylor]: Taking taylor expansion of y in z 0.236 * [backup-simplify]: Simplify y into y 0.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.236 * [taylor]: Taking taylor expansion of x in z 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)) in z 0.236 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.236 * [taylor]: Taking taylor expansion of z in z 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [backup-simplify]: Simplify (+ 0 1) into 1 0.239 * [backup-simplify]: Simplify (sqrt 1) into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y 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 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [backup-simplify]: Simplify x into x 0.243 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.243 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.243 * [taylor]: Taking taylor expansion of z in y 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)) 0.244 * [backup-simplify]: Simplify (+ 1 0) 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 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [backup-simplify]: Simplify y into y 0.247 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.247 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x 0.247 * [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 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.248 * [taylor]: Taking taylor expansion of z in x 0.248 * [backup-simplify]: Simplify z into z 0.248 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.249 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.249 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (+ 0 1) into 1 0.250 * [backup-simplify]: Simplify (sqrt 1) into 1 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [backup-simplify]: Simplify y into y 0.253 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.253 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.255 * [taylor]: Taking taylor expansion of z in x 0.255 * [backup-simplify]: Simplify z into z 0.255 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.255 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.255 * [backup-simplify]: Simplify (+ 1 0) into 1 0.256 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (sqrt 1) into 1 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.259 * [taylor]: Taking taylor expansion of 1 in y 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [taylor]: Taking taylor expansion of 1 in z 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2)) 0.262 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.263 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.263 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.263 * [taylor]: Taking taylor expansion of 1/2 in y 0.263 * [backup-simplify]: Simplify 1/2 into 1/2 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.264 * [taylor]: Taking taylor expansion of z in y 0.264 * [backup-simplify]: Simplify z into z 0.264 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.265 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.267 * [taylor]: Taking taylor expansion of 0 in z 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [taylor]: Taking taylor expansion of 0 in z 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [taylor]: Taking taylor expansion of 0 in z 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2)) 0.276 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.276 * [taylor]: Taking taylor expansion of 1/2 in z 0.276 * [backup-simplify]: Simplify 1/2 into 1/2 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.276 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.276 * [taylor]: Taking taylor expansion of z in z 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [taylor]: Taking taylor expansion of 0 in z 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [taylor]: Taking taylor expansion of 0 in z 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) 0.285 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y 0.285 * [taylor]: Taking taylor expansion of -1/2 in y 0.285 * [backup-simplify]: Simplify -1/2 into -1/2 0.285 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y 0.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.285 * [taylor]: Taking taylor expansion of 1/2 in y 0.285 * [backup-simplify]: Simplify 1/2 into 1/2 0.285 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.285 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.285 * [taylor]: Taking taylor expansion of z in y 0.285 * [backup-simplify]: Simplify z into z 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.286 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.286 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y 0.286 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.286 * [taylor]: Taking taylor expansion of 1/4 in y 0.286 * [backup-simplify]: Simplify 1/4 into 1/4 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.287 * [taylor]: Taking taylor expansion of 1/4 in y 0.287 * [backup-simplify]: Simplify 1/4 into 1/4 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.287 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.287 * [taylor]: Taking taylor expansion of z in y 0.287 * [backup-simplify]: Simplify z into z 0.287 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.287 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.287 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.288 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.295 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.296 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.297 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.297 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.298 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.298 * [taylor]: Taking taylor expansion of 0 in z 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [taylor]: Taking taylor expansion of 0 in z 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.300 * [taylor]: Taking taylor expansion of 0 in z 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [taylor]: Taking taylor expansion of 0 in z 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [taylor]: Taking taylor expansion of 0 in z 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.302 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.302 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.302 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.302 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [backup-simplify]: Simplify x into x 0.303 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [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 (* y y) into (pow y 2) 0.303 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) 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 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (+ 0 1) 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 into 1 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.308 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.308 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [backup-simplify]: Simplify x into x 0.309 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.309 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [backup-simplify]: Simplify y into y 0.310 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.310 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (+ 0 1) into 1 0.312 * [taylor]: Taking taylor expansion of 1 in y 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 1)) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.322 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.322 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 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 0.323 * [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 x 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [backup-simplify]: Simplify x into x 0.323 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.323 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 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)) 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 y 2)) (/ 1 (pow x 2))) in x 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)) 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify (+ 0 1) 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 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 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 1 into 1 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 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 0.330 * [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 0.330 * [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 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0) (* 0 1))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.334 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.334 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow y 2) (+ (pow x 2) (pow z 2))) 0.335 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (x y z) around 0 0.335 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.335 * [taylor]: Taking taylor expansion of y in z 0.335 * [backup-simplify]: Simplify y into y 0.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.335 * [taylor]: Taking taylor expansion of x in z 0.335 * [backup-simplify]: Simplify x into x 0.335 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.335 * [taylor]: Taking taylor expansion of z in z 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [backup-simplify]: Simplify x into x 0.335 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.335 * [taylor]: Taking taylor expansion of z in y 0.335 * [backup-simplify]: Simplify z into z 0.335 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.335 * [taylor]: Taking taylor expansion of z in x 0.335 * [backup-simplify]: Simplify z into z 0.335 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.335 * [taylor]: Taking taylor expansion of z in x 0.335 * [backup-simplify]: Simplify z into z 0.335 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.335 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.336 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.336 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.336 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.336 * [taylor]: Taking taylor expansion of z in y 0.336 * [backup-simplify]: Simplify z into z 0.336 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.336 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 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 (+ (* y 0) (* 0 y)) into 0 0.336 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [taylor]: Taking taylor expansion of 0 in z 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [taylor]: Taking taylor expansion of 0 in z 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.339 * [backup-simplify]: Simplify (+ 1 0) into 1 0.340 * [backup-simplify]: Simplify (+ 0 1) into 1 0.340 * [taylor]: Taking taylor expansion of 1 in y 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of 1 in z 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of 0 in z 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.341 * [backup-simplify]: Simplify (+ 1 0) into 1 0.341 * [taylor]: Taking taylor expansion of 1 in z 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2))) 0.343 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0.344 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.344 * [taylor]: Taking taylor expansion of y in z 0.344 * [backup-simplify]: Simplify y into y 0.344 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.344 * [taylor]: Taking taylor expansion of x in z 0.344 * [backup-simplify]: Simplify x into x 0.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.344 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.344 * [taylor]: Taking taylor expansion of z in z 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [backup-simplify]: Simplify x into x 0.346 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.347 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.347 * [taylor]: Taking taylor expansion of z in y 0.347 * [backup-simplify]: Simplify z into z 0.347 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.347 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [backup-simplify]: Simplify y into y 0.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.347 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.348 * [taylor]: Taking taylor expansion of z in x 0.348 * [backup-simplify]: Simplify z into z 0.348 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.349 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [backup-simplify]: Simplify y into y 0.349 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.350 * [taylor]: Taking taylor expansion of z in x 0.350 * [backup-simplify]: Simplify z into z 0.350 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.350 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [backup-simplify]: Simplify (+ 0 1) into 1 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2)) 0.356 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.357 * [taylor]: Taking taylor expansion of z in y 0.357 * [backup-simplify]: Simplify z into z 0.357 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.357 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.358 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [taylor]: Taking taylor expansion of 1 in z 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of 1 in z 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [taylor]: Taking taylor expansion of 0 in z 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in z 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in z 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2)) 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.367 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.367 * [taylor]: Taking taylor expansion of z in z 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of 0 in z 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [taylor]: Taking taylor expansion of 0 in z 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify 1 into 1 0.369 * [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 y 2) (+ (pow x 2) (pow z 2))) 0.369 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 0.369 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.369 * [taylor]: Taking taylor expansion of y in z 0.369 * [backup-simplify]: Simplify y into y 0.369 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.369 * [taylor]: Taking taylor expansion of x in z 0.369 * [backup-simplify]: Simplify x into x 0.369 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.369 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.369 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.369 * [taylor]: Taking taylor expansion of z in z 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [backup-simplify]: Simplify x into x 0.371 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.371 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.371 * [taylor]: Taking taylor expansion of z in y 0.371 * [backup-simplify]: Simplify z into z 0.371 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.371 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [backup-simplify]: Simplify y into y 0.371 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.371 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.372 * [taylor]: Taking taylor expansion of z in x 0.372 * [backup-simplify]: Simplify z into z 0.372 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.372 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [backup-simplify]: Simplify y into y 0.372 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.372 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.373 * [taylor]: Taking taylor expansion of z in x 0.373 * [backup-simplify]: Simplify z into z 0.373 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.373 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.374 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (+ 0 1) into 1 0.374 * [taylor]: Taking taylor expansion of 1 in y 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2)) 0.377 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.377 * [taylor]: Taking taylor expansion of z in y 0.377 * [backup-simplify]: Simplify z into z 0.377 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.378 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.378 * [backup-simplify]: Simplify (+ 1 0) into 1 0.378 * [taylor]: Taking taylor expansion of 1 in z 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [taylor]: Taking taylor expansion of 1 in z 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in z 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [taylor]: Taking taylor expansion of 0 in z 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [taylor]: Taking taylor expansion of 0 in z 0.381 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2)) 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.386 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.386 * [taylor]: Taking taylor expansion of z in z 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of 0 in z 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [taylor]: Taking taylor expansion of 0 in z 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [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 y 2) (+ (pow x 2) (pow z 2))) 0.387 * * * [progress]: simplifying candidates 0.388 * [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))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* (* (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 y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (+ (pow x 2) (pow z 2))) (+ (pow y 2) (+ (pow x 2) (pow z 2))) (+ (pow y 2) (+ (pow x 2) (pow z 2))) 0.388 * * [simplify]: iteration 0: 74 enodes 0.404 * * [simplify]: iteration 1: 211 enodes 0.505 * * [simplify]: iteration 2: 733 enodes 1.080 * * [simplify]: iteration 3: 4099 enodes 2.508 * * [simplify]: iteration complete: 5000 enodes 2.509 * * [simplify]: Extracting #0: cost 40 inf + 0 2.509 * * [simplify]: Extracting #1: cost 319 inf + 4 2.513 * * [simplify]: Extracting #2: cost 1366 inf + 1781 2.523 * * [simplify]: Extracting #3: cost 1369 inf + 43399 2.566 * * [simplify]: Extracting #4: cost 413 inf + 230039 2.656 * * [simplify]: Extracting #5: cost 4 inf + 351842 2.756 * * [simplify]: Extracting #6: cost 0 inf + 353613 2.876 * [simplify]: Simplified to: (log (sqrt (+ (* z z) (+ (* x x) (* y y))))) (exp (sqrt (+ (* z z) (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))) (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (* (+ (* z z) (+ (* x x) (* y y))) (sqrt (+ (* z z) (+ (* x x) (* y y))))) (fabs (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) 1 (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) (sqrt (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (- (* z z) (+ (* x x) (* y y)))))) (sqrt (* (+ (+ (* x x) (* y y)) (* z z)) (- (+ (* x x) (* y y)) (* z z)))) (sqrt (- (* y y) (- (* z z) (* x x)))) 1/2 (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* z z) (+ (* x x) (* y y))))) (exp (+ (* y y) (* x x))) (log (+ (* x x) (* y y))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (* (* (* x x) (* x x)) (* x x)) (* (* y y) (* (* y y) (* y y)))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (+ x y) (- x y)) (exp (+ (* z z) (+ (* x x) (* y y)))) (exp (+ (* z z) (+ (* x x) (* y y)))) (log (+ (* z z) (+ (* x x) (* y y)))) (exp (+ (* z z) (+ (* x x) (* y y)))) (* (cbrt (+ (* z z) (+ (* x x) (* y y)))) (cbrt (+ (* z z) (+ (* x x) (* y y))))) (cbrt (+ (* z z) (+ (* x x) (* y y)))) (* (+ (* z z) (+ (* x x) (* y y))) (* (+ (* z z) (+ (* x x) (* y y))) (+ (* z z) (+ (* x x) (* y y))))) (sqrt (+ (* z z) (+ (* x x) (* y y)))) (sqrt (+ (* z z) (+ (* x x) (* y y)))) (+ (* (* (* z z) (* z z)) (* z z)) (* (* (+ (* x x) (* y y)) (+ (* 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)) (- (+ (* x x) (* y y)) (* z z))) (- (* y y) (- (* z z) (* x x))) (+ (* y y) (* z z)) z x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* z z) (+ (* x x) (* y y))) (+ (* z z) (+ (* x x) (* y y))) (+ (* z z) (+ (* x x) (* y y))) 2.881 * * * [progress]: adding candidates to table 3.147 * * [progress]: iteration 2 / 4 3.147 * * * [progress]: picking best candidate 3.156 * * * * [pick]: Picked # 3.156 * * * [progress]: localizing error 3.159 * * * [progress]: generating rewritten candidates 3.159 * * * [progress]: generating series expansions 3.159 * * * [progress]: simplifying candidates 3.159 * [simplify]: Simplifying: 3.159 * * [simplify]: iteration 0: 0 enodes 3.159 * * [simplify]: iteration complete: 0 enodes 3.159 * * [simplify]: Extracting #0: cost 0 inf + 0 3.159 * [simplify]: Simplified to: 3.159 * * * [progress]: adding candidates to table 3.159 * * [progress]: iteration 3 / 4 3.159 * * * [progress]: picking best candidate 3.167 * * * * [pick]: Picked # 3.167 * * * [progress]: localizing error 3.169 * * * [progress]: generating rewritten candidates 3.169 * * * [progress]: generating series expansions 3.169 * * * [progress]: simplifying candidates 3.169 * [simplify]: Simplifying: 3.169 * * [simplify]: iteration 0: 0 enodes 3.169 * * [simplify]: iteration complete: 0 enodes 3.169 * * [simplify]: Extracting #0: cost 0 inf + 0 3.169 * [simplify]: Simplified to: 3.169 * * * [progress]: adding candidates to table 3.170 * * [progress]: iteration 4 / 4 3.170 * * * [progress]: picking best candidate 3.176 * * * * [pick]: Picked # 3.177 * * * [progress]: localizing error 3.179 * * * [progress]: generating rewritten candidates 3.179 * * * [progress]: generating series expansions 3.179 * * * [progress]: simplifying candidates 3.179 * [simplify]: Simplifying: 3.179 * * [simplify]: iteration 0: 0 enodes 3.179 * * [simplify]: iteration complete: 0 enodes 3.179 * * [simplify]: Extracting #0: cost 0 inf + 0 3.179 * [simplify]: Simplified to: 3.179 * * * [progress]: adding candidates to table 3.180 * [progress]: [Phase 3 of 3] Extracting. 3.180 * * [regime]: Finding splitpoints for: (# # # #) 3.181 * * * [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) 3.181 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 3.236 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 3.299 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 3.364 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 3.448 * * * * [regimes]: Trying to branch on (* x x) from (# #) 3.500 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 3.569 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 3.605 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # #) 3.655 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # #) 3.721 * * * * [regimes]: Trying to branch on z from (# # # #) 3.803 * * * * [regimes]: Trying to branch on y from (# # # #) 3.880 * * * * [regimes]: Trying to branch on x from (# # # #) 3.980 * * * [regime]: Found split indices: #