28.994 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.025 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.027 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.030 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.032 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.034 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.034 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.060 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.069 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.069 * [taylor]: Taking taylor expansion of x in z 0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.069 * [taylor]: Taking taylor expansion of y in z 0.069 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.069 * [taylor]: Taking taylor expansion of z in z 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.071 * [taylor]: Taking taylor expansion of z in y 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.072 * [taylor]: Taking taylor expansion of z in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.074 * [taylor]: Taking taylor expansion of z in x 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.075 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.075 * [taylor]: Taking taylor expansion of z in y 0.076 * [taylor]: Taking taylor expansion of z in z 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in z 0.076 * [taylor]: Taking taylor expansion of 0 in z 0.078 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.078 * [taylor]: Taking taylor expansion of 1/2 in y 0.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.078 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.078 * [taylor]: Taking taylor expansion of z in y 0.079 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.079 * [taylor]: Taking taylor expansion of 1/2 in z 0.079 * [taylor]: Taking taylor expansion of z in z 0.080 * [taylor]: Taking taylor expansion of 0 in z 0.082 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.082 * [taylor]: Taking taylor expansion of 1/2 in z 0.082 * [taylor]: Taking taylor expansion of z in z 0.083 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.083 * [taylor]: Taking taylor expansion of x in z 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.084 * [taylor]: Taking taylor expansion of z in z 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.084 * [taylor]: Taking taylor expansion of y in z 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.087 * [taylor]: Taking taylor expansion of z in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.091 * [taylor]: Taking taylor expansion of z in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.095 * [taylor]: Taking taylor expansion of z in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 1 in z 0.100 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.100 * [taylor]: Taking taylor expansion of 1/2 in y 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.100 * [taylor]: Taking taylor expansion of z in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 0 in z 0.103 * [taylor]: Taking taylor expansion of 0 in z 0.103 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.108 * [taylor]: Taking taylor expansion of 1/2 in z 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.108 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.108 * [taylor]: Taking taylor expansion of z in z 0.109 * [taylor]: Taking taylor expansion of 0 in z 0.110 * [taylor]: Taking taylor expansion of 0 in z 0.114 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.114 * [taylor]: Taking taylor expansion of -1/2 in y 0.114 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.114 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.114 * [taylor]: Taking taylor expansion of 1/4 in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.114 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.114 * [taylor]: Taking taylor expansion of z in y 0.114 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.114 * [taylor]: Taking taylor expansion of 1/2 in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.114 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.114 * [taylor]: Taking taylor expansion of z in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.115 * [taylor]: Taking taylor expansion of 1/4 in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.115 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of 0 in z 0.126 * [taylor]: Taking taylor expansion of 0 in z 0.129 * [taylor]: Taking taylor expansion of 0 in z 0.129 * [taylor]: Taking taylor expansion of 0 in z 0.129 * [taylor]: Taking taylor expansion of 0 in z 0.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.131 * [taylor]: Taking taylor expansion of x in z 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.132 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.132 * [taylor]: Taking taylor expansion of z in z 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.132 * [taylor]: Taking taylor expansion of y in z 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.136 * [taylor]: Taking taylor expansion of z in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.140 * [taylor]: Taking taylor expansion of z in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.143 * [taylor]: Taking taylor expansion of z in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of 1 in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of 1 in z 0.148 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.148 * [taylor]: Taking taylor expansion of 1/2 in y 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.148 * [taylor]: Taking taylor expansion of z in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [taylor]: Taking taylor expansion of 0 in z 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.156 * [taylor]: Taking taylor expansion of 1/2 in z 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.156 * [taylor]: Taking taylor expansion of z in z 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.162 * [taylor]: Taking taylor expansion of 0 in z 0.166 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.166 * [taylor]: Taking taylor expansion of -1/2 in y 0.166 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.166 * [taylor]: Taking taylor expansion of 1/4 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.166 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.166 * [taylor]: Taking taylor expansion of z in y 0.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.166 * [taylor]: Taking taylor expansion of 1/2 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.166 * [taylor]: Taking taylor expansion of z in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.167 * [taylor]: Taking taylor expansion of 1/4 in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.167 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.183 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.183 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 1 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of 1 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.214 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.214 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.214 * [taylor]: Taking taylor expansion of x in z 0.214 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.214 * [taylor]: Taking taylor expansion of y in z 0.214 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.214 * [taylor]: Taking taylor expansion of z in z 0.214 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.214 * [taylor]: Taking taylor expansion of z in y 0.214 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.214 * [taylor]: Taking taylor expansion of z in x 0.214 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.214 * [taylor]: Taking taylor expansion of z in x 0.215 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.215 * [taylor]: Taking taylor expansion of z in y 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.215 * [taylor]: Taking taylor expansion of z in z 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [taylor]: Taking taylor expansion of 1 in y 0.218 * [taylor]: Taking taylor expansion of 1 in z 0.218 * [taylor]: Taking taylor expansion of 0 in z 0.219 * [taylor]: Taking taylor expansion of 1 in z 0.220 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.220 * [taylor]: Taking taylor expansion of x in z 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.220 * [taylor]: Taking taylor expansion of z in z 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.221 * [taylor]: Taking taylor expansion of y in z 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.221 * [taylor]: Taking taylor expansion of z in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.222 * [taylor]: Taking taylor expansion of z in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.223 * [taylor]: Taking taylor expansion of z in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.227 * [taylor]: Taking taylor expansion of z in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of 1 in z 0.228 * [taylor]: Taking taylor expansion of 1 in z 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.235 * [taylor]: Taking taylor expansion of 0 in y 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 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.238 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.238 * [taylor]: Taking taylor expansion of x in z 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.238 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.238 * [taylor]: Taking taylor expansion of z in z 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.239 * [taylor]: Taking taylor expansion of y in z 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.239 * [taylor]: Taking taylor expansion of z in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.241 * [taylor]: Taking taylor expansion of z in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.241 * [taylor]: Taking taylor expansion of z in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of 1 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.245 * [taylor]: Taking taylor expansion of z in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 1 in z 0.246 * [taylor]: Taking taylor expansion of 1 in z 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in z 0.250 * [taylor]: Taking taylor expansion of 0 in z 0.250 * [taylor]: Taking taylor expansion of 0 in z 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.254 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.254 * [taylor]: Taking taylor expansion of z in z 0.255 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [taylor]: Taking taylor expansion of 0 in z 0.256 * * * [progress]: simplifying candidates 0.257 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (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)) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.265 * * [simplify]: iteration 0 : 225 enodes (cost 355 ) 0.273 * * [simplify]: iteration 1 : 1043 enodes (cost 323 ) 0.294 * * [simplify]: iteration 2 : 3749 enodes (cost 312 ) 0.368 * * [simplify]: iteration 3 : 5001 enodes (cost 311 ) 0.371 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (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))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (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)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* 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))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (exp (fma x x (fma y y (* z z)))) (exp (fma x x (fma y y (* z z)))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (fma x x (fma 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))) (pow (fma x x (fma y y (* z z))) 3) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma (* (pow z 4) z) z (pow (fma x x (* y y)) 3)) (fma (fma x x (* y y)) (fma x x (- (pow y 2) (pow z 2))) (pow z 4)) (* (fma x x (- (pow y 2) (pow z 2))) (fma x x (fma y y (* z z)))) (fma x x (- (pow y 2) (pow z 2))) (fma y y (* z z)) z x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) 0.371 * * * [progress]: adding candidates to table 0.526 * * [progress]: iteration 2 / 4 0.526 * * * [progress]: picking best candidate 0.534 * * * * [pick]: Picked # 0.534 * * * [progress]: localizing error 0.543 * * * [progress]: generating rewritten candidates 0.543 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.547 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.552 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.553 * * * [progress]: generating series expansions 0.553 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.553 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.553 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.555 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.555 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.558 * [taylor]: Taking taylor expansion of 1/2 in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of 1 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.573 * [taylor]: Taking taylor expansion of 1/2 in y 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.585 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of 1 in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.590 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.590 * [taylor]: Taking taylor expansion of 1/2 in y 0.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.595 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.595 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.595 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of 1 in y 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of 1 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.617 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of 1 in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.630 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.630 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 0.630 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 0.630 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.630 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 0.630 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.630 * [taylor]: Taking taylor expansion of x in z 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.630 * [taylor]: Taking taylor expansion of y in z 0.631 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.631 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.631 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.631 * [taylor]: Taking taylor expansion of x in z 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.632 * [taylor]: Taking taylor expansion of y in z 0.632 * [taylor]: Taking taylor expansion of (* z z) in z 0.632 * [taylor]: Taking taylor expansion of z in z 0.632 * [taylor]: Taking taylor expansion of z in z 0.634 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 0.634 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.634 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 0.635 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.635 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.635 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of (* z z) in y 0.636 * [taylor]: Taking taylor expansion of z in y 0.636 * [taylor]: Taking taylor expansion of z in y 0.637 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.637 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.637 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.637 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.637 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.638 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (* z z) in x 0.638 * [taylor]: Taking taylor expansion of z in x 0.638 * [taylor]: Taking taylor expansion of z in x 0.639 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.639 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.639 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.640 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.640 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.640 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (* z z) in x 0.641 * [taylor]: Taking taylor expansion of z in x 0.641 * [taylor]: Taking taylor expansion of z in x 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.642 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.642 * [taylor]: Taking taylor expansion of z in y 0.643 * [taylor]: Taking taylor expansion of z in z 0.643 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [taylor]: Taking taylor expansion of 0 in z 0.643 * [taylor]: Taking taylor expansion of 0 in z 0.647 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.647 * [taylor]: Taking taylor expansion of 1/2 in y 0.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.647 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.647 * [taylor]: Taking taylor expansion of z in y 0.648 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.648 * [taylor]: Taking taylor expansion of 1/2 in z 0.648 * [taylor]: Taking taylor expansion of z in z 0.649 * [taylor]: Taking taylor expansion of 0 in z 0.651 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.651 * [taylor]: Taking taylor expansion of 1/2 in z 0.651 * [taylor]: Taking taylor expansion of z in z 0.652 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 0.652 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 0.652 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.652 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 0.652 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.652 * [taylor]: Taking taylor expansion of x in z 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.653 * [taylor]: Taking taylor expansion of y in z 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.654 * [taylor]: Taking taylor expansion of x in z 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.654 * [taylor]: Taking taylor expansion of y in z 0.655 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.655 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.655 * [taylor]: Taking taylor expansion of z in z 0.656 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.656 * [taylor]: Taking taylor expansion of z in z 0.659 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 0.659 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.659 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y 0.659 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.665 * [taylor]: Taking taylor expansion of z in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.665 * [taylor]: Taking taylor expansion of z in y 0.667 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.667 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.667 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 0.667 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.673 * [taylor]: Taking taylor expansion of z in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.673 * [taylor]: Taking taylor expansion of z in x 0.675 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.675 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.675 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 0.675 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.681 * [taylor]: Taking taylor expansion of z in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.682 * [taylor]: Taking taylor expansion of z in x 0.683 * [taylor]: Taking taylor expansion of 1 in y 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.684 * [taylor]: Taking taylor expansion of 1 in z 0.690 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.690 * [taylor]: Taking taylor expansion of 1/2 in y 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.690 * [taylor]: Taking taylor expansion of z in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of 0 in z 0.693 * [taylor]: Taking taylor expansion of 0 in z 0.693 * [taylor]: Taking taylor expansion of 0 in z 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.700 * [taylor]: Taking taylor expansion of 1/2 in z 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.700 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.701 * [taylor]: Taking taylor expansion of z in z 0.702 * [taylor]: Taking taylor expansion of 0 in z 0.702 * [taylor]: Taking taylor expansion of 0 in z 0.711 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.711 * [taylor]: Taking taylor expansion of -1/2 in y 0.711 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.711 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.711 * [taylor]: Taking taylor expansion of 1/4 in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.711 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.711 * [taylor]: Taking taylor expansion of z in y 0.712 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.712 * [taylor]: Taking taylor expansion of 1/2 in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.712 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.712 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.712 * [taylor]: Taking taylor expansion of z in y 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.712 * [taylor]: Taking taylor expansion of 1/4 in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.712 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of 0 in z 0.728 * [taylor]: Taking taylor expansion of 0 in z 0.730 * [taylor]: Taking taylor expansion of 0 in z 0.730 * [taylor]: Taking taylor expansion of 0 in z 0.730 * [taylor]: Taking taylor expansion of 0 in z 0.732 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 0.733 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 0.733 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.733 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z 0.733 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.733 * [taylor]: Taking taylor expansion of x in z 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.733 * [taylor]: Taking taylor expansion of y in z 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.735 * [taylor]: Taking taylor expansion of x in z 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.735 * [taylor]: Taking taylor expansion of y in z 0.736 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.736 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.736 * [taylor]: Taking taylor expansion of -1 in z 0.736 * [taylor]: Taking taylor expansion of z in z 0.736 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.736 * [taylor]: Taking taylor expansion of -1 in z 0.736 * [taylor]: Taking taylor expansion of z in z 0.740 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 0.740 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.740 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y 0.740 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.743 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.746 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.746 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.746 * [taylor]: Taking taylor expansion of -1 in y 0.746 * [taylor]: Taking taylor expansion of z in y 0.746 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.747 * [taylor]: Taking taylor expansion of -1 in y 0.747 * [taylor]: Taking taylor expansion of z in y 0.748 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.749 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.749 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 0.749 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.749 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.752 * [taylor]: Taking taylor expansion of y in x 0.754 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.755 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.755 * [taylor]: Taking taylor expansion of -1 in x 0.755 * [taylor]: Taking taylor expansion of z in x 0.755 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.755 * [taylor]: Taking taylor expansion of -1 in x 0.755 * [taylor]: Taking taylor expansion of z in x 0.757 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.757 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.757 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 0.757 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.761 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.763 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.763 * [taylor]: Taking taylor expansion of -1 in x 0.763 * [taylor]: Taking taylor expansion of z in x 0.763 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.763 * [taylor]: Taking taylor expansion of -1 in x 0.763 * [taylor]: Taking taylor expansion of z in x 0.765 * [taylor]: Taking taylor expansion of 1 in y 0.765 * [taylor]: Taking taylor expansion of 0 in y 0.765 * [taylor]: Taking taylor expansion of 1 in z 0.771 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.771 * [taylor]: Taking taylor expansion of 1/2 in y 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.771 * [taylor]: Taking taylor expansion of z in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.774 * [taylor]: Taking taylor expansion of 0 in z 0.774 * [taylor]: Taking taylor expansion of 0 in z 0.774 * [taylor]: Taking taylor expansion of 0 in z 0.780 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.782 * [taylor]: Taking taylor expansion of 1/2 in z 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.782 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.782 * [taylor]: Taking taylor expansion of z in z 0.784 * [taylor]: Taking taylor expansion of 0 in z 0.784 * [taylor]: Taking taylor expansion of 0 in z 0.793 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.793 * [taylor]: Taking taylor expansion of -1/2 in y 0.793 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.793 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.793 * [taylor]: Taking taylor expansion of 1/4 in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.793 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.793 * [taylor]: Taking taylor expansion of z in y 0.793 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.793 * [taylor]: Taking taylor expansion of 1/2 in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.794 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.794 * [taylor]: Taking taylor expansion of z in y 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.794 * [taylor]: Taking taylor expansion of 1/4 in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.794 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of 0 in z 0.806 * [taylor]: Taking taylor expansion of 0 in z 0.808 * [taylor]: Taking taylor expansion of 0 in z 0.808 * [taylor]: Taking taylor expansion of 0 in z 0.808 * [taylor]: Taking taylor expansion of 0 in z 0.810 * * * [progress]: simplifying candidates 0.811 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (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)) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) z x (* -1 x) 0.819 * * [simplify]: iteration 0 : 152 enodes (cost 254 ) 0.824 * * [simplify]: iteration 1 : 617 enodes (cost 227 ) 0.836 * * [simplify]: iteration 2 : 1802 enodes (cost 223 ) 0.881 * * [simplify]: iteration 3 : 5002 enodes (cost 221 ) 0.883 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* 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))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (fma z z (fma x x (* y y))) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (pow (hypot (sqrt (+ (* x x) (* y y))) z) 3) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) z x (* -1 x) 0.884 * * * [progress]: adding candidates to table 1.009 * * [progress]: iteration 3 / 4 1.009 * * * [progress]: picking best candidate 1.014 * * * * [pick]: Picked # 1.014 * * * [progress]: localizing error 1.019 * * * [progress]: generating rewritten candidates 1.019 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.020 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.021 * * * [progress]: generating series expansions 1.021 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.021 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 1.021 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.021 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.021 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.021 * [taylor]: Taking taylor expansion of (* x x) in y 1.021 * [taylor]: Taking taylor expansion of x in y 1.021 * [taylor]: Taking taylor expansion of x in y 1.021 * [taylor]: Taking taylor expansion of (* y y) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.023 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.023 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.023 * [taylor]: Taking taylor expansion of (* x x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (* y y) in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.025 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.025 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.025 * [taylor]: Taking taylor expansion of (* x x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (* y y) in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [taylor]: Taking taylor expansion of 0 in y 1.028 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.028 * [taylor]: Taking taylor expansion of 1/2 in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 1.035 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.035 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.035 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.035 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.035 * [taylor]: Taking taylor expansion of x in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.035 * [taylor]: Taking taylor expansion of x in y 1.035 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.039 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.039 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.039 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.043 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.043 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.043 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.043 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.044 * [taylor]: Taking taylor expansion of y in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.044 * [taylor]: Taking taylor expansion of y in x 1.047 * [taylor]: Taking taylor expansion of 1 in y 1.047 * [taylor]: Taking taylor expansion of 0 in y 1.050 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.050 * [taylor]: Taking taylor expansion of 1/2 in y 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.056 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 1.056 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.056 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.056 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.056 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.056 * [taylor]: Taking taylor expansion of -1 in y 1.056 * [taylor]: Taking taylor expansion of x in y 1.056 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.057 * [taylor]: Taking taylor expansion of -1 in y 1.057 * [taylor]: Taking taylor expansion of x in y 1.057 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.057 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.057 * [taylor]: Taking taylor expansion of -1 in y 1.057 * [taylor]: Taking taylor expansion of y in y 1.057 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.057 * [taylor]: Taking taylor expansion of -1 in y 1.057 * [taylor]: Taking taylor expansion of y in y 1.060 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.061 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.061 * [taylor]: Taking taylor expansion of -1 in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.061 * [taylor]: Taking taylor expansion of -1 in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.062 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.062 * [taylor]: Taking taylor expansion of -1 in x 1.062 * [taylor]: Taking taylor expansion of y in x 1.062 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.062 * [taylor]: Taking taylor expansion of -1 in x 1.062 * [taylor]: Taking taylor expansion of y in x 1.065 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.065 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.065 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.065 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.065 * [taylor]: Taking taylor expansion of -1 in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.065 * [taylor]: Taking taylor expansion of -1 in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.066 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.066 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.066 * [taylor]: Taking taylor expansion of -1 in x 1.066 * [taylor]: Taking taylor expansion of y in x 1.066 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.066 * [taylor]: Taking taylor expansion of -1 in x 1.066 * [taylor]: Taking taylor expansion of y in x 1.069 * [taylor]: Taking taylor expansion of 1 in y 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.072 * [taylor]: Taking taylor expansion of 1/2 in y 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.076 * [taylor]: Taking taylor expansion of 0 in y 1.077 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.077 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 1.077 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 1.078 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.078 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 1.078 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 1.078 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.078 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.078 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.078 * [taylor]: Taking taylor expansion of (* x x) in z 1.078 * [taylor]: Taking taylor expansion of x in z 1.078 * [taylor]: Taking taylor expansion of x in z 1.078 * [taylor]: Taking taylor expansion of (* y y) in z 1.078 * [taylor]: Taking taylor expansion of y in z 1.078 * [taylor]: Taking taylor expansion of y in z 1.079 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.079 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.079 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.079 * [taylor]: Taking taylor expansion of (* x x) in z 1.079 * [taylor]: Taking taylor expansion of x in z 1.079 * [taylor]: Taking taylor expansion of x in z 1.079 * [taylor]: Taking taylor expansion of (* y y) in z 1.079 * [taylor]: Taking taylor expansion of y in z 1.079 * [taylor]: Taking taylor expansion of y in z 1.080 * [taylor]: Taking taylor expansion of (* z z) in z 1.080 * [taylor]: Taking taylor expansion of z in z 1.080 * [taylor]: Taking taylor expansion of z in z 1.082 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.082 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.082 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.082 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.082 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.082 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.082 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.082 * [taylor]: Taking taylor expansion of (* x x) in y 1.082 * [taylor]: Taking taylor expansion of x in y 1.082 * [taylor]: Taking taylor expansion of x in y 1.082 * [taylor]: Taking taylor expansion of (* y y) in y 1.082 * [taylor]: Taking taylor expansion of y in y 1.082 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.084 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.084 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.084 * [taylor]: Taking taylor expansion of (* x x) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [taylor]: Taking taylor expansion of (* y y) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of (* z z) in y 1.085 * [taylor]: Taking taylor expansion of z in y 1.085 * [taylor]: Taking taylor expansion of z in y 1.086 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.086 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.086 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.086 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.086 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.086 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.086 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.086 * [taylor]: Taking taylor expansion of (* x x) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (* y y) in x 1.086 * [taylor]: Taking taylor expansion of y in x 1.087 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.088 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.088 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.088 * [taylor]: Taking taylor expansion of (* x x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (* y y) in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.089 * [taylor]: Taking taylor expansion of (* z z) in x 1.089 * [taylor]: Taking taylor expansion of z in x 1.089 * [taylor]: Taking taylor expansion of z in x 1.090 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.090 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.090 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.090 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.090 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.090 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.090 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.090 * [taylor]: Taking taylor expansion of (* x x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (* y y) in x 1.090 * [taylor]: Taking taylor expansion of y in x 1.091 * [taylor]: Taking taylor expansion of y in x 1.092 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.092 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.092 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.092 * [taylor]: Taking taylor expansion of (* x x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (* y y) in x 1.092 * [taylor]: Taking taylor expansion of y in x 1.092 * [taylor]: Taking taylor expansion of y in x 1.093 * [taylor]: Taking taylor expansion of (* z z) in x 1.093 * [taylor]: Taking taylor expansion of z in x 1.093 * [taylor]: Taking taylor expansion of z in x 1.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.094 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.094 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.094 * [taylor]: Taking taylor expansion of z in y 1.095 * [taylor]: Taking taylor expansion of z in z 1.095 * [taylor]: Taking taylor expansion of 0 in y 1.095 * [taylor]: Taking taylor expansion of 0 in z 1.095 * [taylor]: Taking taylor expansion of 0 in z 1.100 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.100 * [taylor]: Taking taylor expansion of 1/2 in y 1.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.100 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.100 * [taylor]: Taking taylor expansion of z in y 1.101 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.101 * [taylor]: Taking taylor expansion of 1/2 in z 1.101 * [taylor]: Taking taylor expansion of z in z 1.102 * [taylor]: Taking taylor expansion of 0 in z 1.103 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.104 * [taylor]: Taking taylor expansion of 1/2 in z 1.104 * [taylor]: Taking taylor expansion of z in z 1.105 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.105 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.105 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.105 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.105 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.105 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.105 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.105 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.105 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.105 * [taylor]: Taking taylor expansion of x in z 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.105 * [taylor]: Taking taylor expansion of x in z 1.105 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.105 * [taylor]: Taking taylor expansion of y in z 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.105 * [taylor]: Taking taylor expansion of y in z 1.107 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.107 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.107 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.107 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.107 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.107 * [taylor]: Taking taylor expansion of x in z 1.107 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.107 * [taylor]: Taking taylor expansion of x in z 1.107 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.107 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.107 * [taylor]: Taking taylor expansion of y in z 1.107 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.107 * [taylor]: Taking taylor expansion of y in z 1.109 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.109 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.109 * [taylor]: Taking taylor expansion of z in z 1.109 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.109 * [taylor]: Taking taylor expansion of z in z 1.112 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.112 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.112 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.112 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.112 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.113 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.113 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.113 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.113 * [taylor]: Taking taylor expansion of x in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.113 * [taylor]: Taking taylor expansion of x in y 1.113 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.116 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.116 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.116 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.116 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.117 * [taylor]: Taking taylor expansion of x in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.117 * [taylor]: Taking taylor expansion of x in y 1.117 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.117 * [taylor]: Taking taylor expansion of y in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.117 * [taylor]: Taking taylor expansion of y in y 1.120 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.120 * [taylor]: Taking taylor expansion of z in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.120 * [taylor]: Taking taylor expansion of z in y 1.122 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.122 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.122 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.122 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.122 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.122 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.122 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.123 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.126 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.126 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.126 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.130 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.130 * [taylor]: Taking taylor expansion of z in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.130 * [taylor]: Taking taylor expansion of z in x 1.132 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.132 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.132 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.133 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.133 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.133 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.133 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.133 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.140 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.140 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.140 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.140 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.141 * [taylor]: Taking taylor expansion of y in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.141 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.144 * [taylor]: Taking taylor expansion of z in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.144 * [taylor]: Taking taylor expansion of z in x 1.146 * [taylor]: Taking taylor expansion of 1 in y 1.146 * [taylor]: Taking taylor expansion of 0 in y 1.146 * [taylor]: Taking taylor expansion of 1 in z 1.153 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.153 * [taylor]: Taking taylor expansion of 1/2 in y 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.154 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.154 * [taylor]: Taking taylor expansion of z in y 1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.154 * [taylor]: Taking taylor expansion of y in y 1.156 * [taylor]: Taking taylor expansion of 0 in z 1.156 * [taylor]: Taking taylor expansion of 0 in z 1.156 * [taylor]: Taking taylor expansion of 0 in z 1.163 * [taylor]: Taking taylor expansion of 0 in y 1.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.165 * [taylor]: Taking taylor expansion of 1/2 in z 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.165 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.165 * [taylor]: Taking taylor expansion of z in z 1.167 * [taylor]: Taking taylor expansion of 0 in z 1.167 * [taylor]: Taking taylor expansion of 0 in z 1.176 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.177 * [taylor]: Taking taylor expansion of -1/2 in y 1.177 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.177 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.177 * [taylor]: Taking taylor expansion of 1/4 in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.177 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.177 * [taylor]: Taking taylor expansion of z in y 1.177 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.177 * [taylor]: Taking taylor expansion of 1/2 in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.177 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.177 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.177 * [taylor]: Taking taylor expansion of z in y 1.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.178 * [taylor]: Taking taylor expansion of 1/4 in y 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.178 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of 0 in z 1.189 * [taylor]: Taking taylor expansion of 0 in z 1.192 * [taylor]: Taking taylor expansion of 0 in z 1.192 * [taylor]: Taking taylor expansion of 0 in z 1.192 * [taylor]: Taking taylor expansion of 0 in z 1.194 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 1.194 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 1.194 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.194 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 1.194 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 1.194 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.194 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.194 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.194 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.194 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.194 * [taylor]: Taking taylor expansion of -1 in z 1.194 * [taylor]: Taking taylor expansion of x in z 1.194 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.194 * [taylor]: Taking taylor expansion of -1 in z 1.194 * [taylor]: Taking taylor expansion of x in z 1.194 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.194 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.194 * [taylor]: Taking taylor expansion of -1 in z 1.194 * [taylor]: Taking taylor expansion of y in z 1.194 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.194 * [taylor]: Taking taylor expansion of -1 in z 1.194 * [taylor]: Taking taylor expansion of y in z 1.196 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.196 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.196 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.196 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.196 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.196 * [taylor]: Taking taylor expansion of -1 in z 1.196 * [taylor]: Taking taylor expansion of x in z 1.196 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.196 * [taylor]: Taking taylor expansion of -1 in z 1.196 * [taylor]: Taking taylor expansion of x in z 1.196 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.196 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.196 * [taylor]: Taking taylor expansion of -1 in z 1.196 * [taylor]: Taking taylor expansion of y in z 1.196 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.196 * [taylor]: Taking taylor expansion of -1 in z 1.196 * [taylor]: Taking taylor expansion of y in z 1.198 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.198 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.198 * [taylor]: Taking taylor expansion of -1 in z 1.198 * [taylor]: Taking taylor expansion of z in z 1.198 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.198 * [taylor]: Taking taylor expansion of -1 in z 1.198 * [taylor]: Taking taylor expansion of z in z 1.201 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.201 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.201 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.202 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.202 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.202 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.202 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.202 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.202 * [taylor]: Taking taylor expansion of -1 in y 1.202 * [taylor]: Taking taylor expansion of x in y 1.202 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.202 * [taylor]: Taking taylor expansion of -1 in y 1.202 * [taylor]: Taking taylor expansion of x in y 1.202 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.202 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.202 * [taylor]: Taking taylor expansion of -1 in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.202 * [taylor]: Taking taylor expansion of -1 in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.206 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.206 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.206 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.206 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.206 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.206 * [taylor]: Taking taylor expansion of -1 in y 1.206 * [taylor]: Taking taylor expansion of x in y 1.206 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.206 * [taylor]: Taking taylor expansion of -1 in y 1.206 * [taylor]: Taking taylor expansion of x in y 1.206 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.206 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.206 * [taylor]: Taking taylor expansion of -1 in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.207 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.207 * [taylor]: Taking taylor expansion of -1 in y 1.207 * [taylor]: Taking taylor expansion of y in y 1.210 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.210 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.210 * [taylor]: Taking taylor expansion of -1 in y 1.210 * [taylor]: Taking taylor expansion of z in y 1.210 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.210 * [taylor]: Taking taylor expansion of -1 in y 1.210 * [taylor]: Taking taylor expansion of z in y 1.212 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.212 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.212 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.212 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.212 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.212 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.213 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.213 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.213 * [taylor]: Taking taylor expansion of -1 in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.213 * [taylor]: Taking taylor expansion of -1 in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.213 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.213 * [taylor]: Taking taylor expansion of -1 in x 1.213 * [taylor]: Taking taylor expansion of y in x 1.213 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.213 * [taylor]: Taking taylor expansion of -1 in x 1.213 * [taylor]: Taking taylor expansion of y in x 1.216 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.217 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.217 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.217 * [taylor]: Taking taylor expansion of -1 in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.217 * [taylor]: Taking taylor expansion of -1 in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.218 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.218 * [taylor]: Taking taylor expansion of -1 in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.218 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.218 * [taylor]: Taking taylor expansion of -1 in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.221 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.221 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.221 * [taylor]: Taking taylor expansion of z in x 1.221 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.221 * [taylor]: Taking taylor expansion of z in x 1.223 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.223 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.223 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.223 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.223 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.223 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.223 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.223 * [taylor]: Taking taylor expansion of -1 in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.224 * [taylor]: Taking taylor expansion of -1 in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.224 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.224 * [taylor]: Taking taylor expansion of -1 in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.224 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.224 * [taylor]: Taking taylor expansion of -1 in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.227 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.227 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.227 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.227 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.227 * [taylor]: Taking taylor expansion of -1 in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.228 * [taylor]: Taking taylor expansion of -1 in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.228 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.228 * [taylor]: Taking taylor expansion of -1 in x 1.228 * [taylor]: Taking taylor expansion of y in x 1.228 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.228 * [taylor]: Taking taylor expansion of -1 in x 1.228 * [taylor]: Taking taylor expansion of y in x 1.235 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.235 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.235 * [taylor]: Taking taylor expansion of -1 in x 1.235 * [taylor]: Taking taylor expansion of z in x 1.236 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.236 * [taylor]: Taking taylor expansion of -1 in x 1.236 * [taylor]: Taking taylor expansion of z in x 1.238 * [taylor]: Taking taylor expansion of 1 in y 1.238 * [taylor]: Taking taylor expansion of 0 in y 1.238 * [taylor]: Taking taylor expansion of 1 in z 1.246 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.246 * [taylor]: Taking taylor expansion of 1/2 in y 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.246 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.246 * [taylor]: Taking taylor expansion of z in y 1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.247 * [taylor]: Taking taylor expansion of y in y 1.249 * [taylor]: Taking taylor expansion of 0 in z 1.249 * [taylor]: Taking taylor expansion of 0 in z 1.249 * [taylor]: Taking taylor expansion of 0 in z 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.259 * [taylor]: Taking taylor expansion of 1/2 in z 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.259 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.259 * [taylor]: Taking taylor expansion of z in z 1.261 * [taylor]: Taking taylor expansion of 0 in z 1.261 * [taylor]: Taking taylor expansion of 0 in z 1.271 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.271 * [taylor]: Taking taylor expansion of -1/2 in y 1.271 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.271 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.271 * [taylor]: Taking taylor expansion of 1/4 in y 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.271 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.271 * [taylor]: Taking taylor expansion of z in y 1.271 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.271 * [taylor]: Taking taylor expansion of 1/2 in y 1.271 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.272 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.272 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.272 * [taylor]: Taking taylor expansion of z in y 1.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.272 * [taylor]: Taking taylor expansion of y in y 1.272 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.272 * [taylor]: Taking taylor expansion of 1/4 in y 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.272 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.272 * [taylor]: Taking taylor expansion of y in y 1.284 * [taylor]: Taking taylor expansion of 0 in z 1.284 * [taylor]: Taking taylor expansion of 0 in z 1.286 * [taylor]: Taking taylor expansion of 0 in z 1.286 * [taylor]: Taking taylor expansion of 0 in z 1.286 * [taylor]: Taking taylor expansion of 0 in z 1.288 * * * [progress]: simplifying candidates 1.289 * [simplify]: Simplifying using # : (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (+ (* (hypot x y) (hypot x y)) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) y x (* -1 x) z x (* -1 x) 1.292 * * [simplify]: iteration 0 : 38 enodes (cost 68 ) 1.295 * * [simplify]: iteration 1 : 43 enodes (cost 60 ) 1.298 * * [simplify]: iteration 2 : 49 enodes (cost 60 ) 1.300 * * [simplify]: iteration 3 : 57 enodes (cost 60 ) 1.303 * * [simplify]: iteration 4 : 85 enodes (cost 60 ) 1.307 * * [simplify]: iteration 5 : 159 enodes (cost 60 ) 1.314 * * [simplify]: iteration 6 : 660 enodes (cost 60 ) 1.338 * * [simplify]: iteration 7 : 2200 enodes (cost 60 ) 1.418 * * [simplify]: iteration 8 : 5001 enodes (cost 60 ) 1.419 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma (hypot x y) (hypot x y) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) y x (* -1 x) z x (* -1 x) 1.419 * * * [progress]: adding candidates to table 1.483 * * [progress]: iteration 4 / 4 1.483 * * * [progress]: picking best candidate 1.488 * * * * [pick]: Picked # 1.488 * * * [progress]: localizing error 1.497 * * * [progress]: generating rewritten candidates 1.497 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.499 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.500 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.502 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.510 * * * [progress]: generating series expansions 1.510 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.510 * [approximate]: Taking taylor expansion of (pow (hypot x y) 1/3) in (x y) around 0 1.510 * [taylor]: Taking taylor expansion of (pow (hypot x y) 1/3) in y 1.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot x y)))) in y 1.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot x y))) in y 1.510 * [taylor]: Taking taylor expansion of 1/3 in y 1.510 * [taylor]: Taking taylor expansion of (log (hypot x y)) in y 1.510 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.510 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.510 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.510 * [taylor]: Taking taylor expansion of (* x x) in y 1.510 * [taylor]: Taking taylor expansion of x in y 1.510 * [taylor]: Taking taylor expansion of x in y 1.510 * [taylor]: Taking taylor expansion of (* y y) in y 1.510 * [taylor]: Taking taylor expansion of y in y 1.510 * [taylor]: Taking taylor expansion of y in y 1.512 * [taylor]: Taking taylor expansion of (pow (hypot x y) 1/3) in x 1.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot x y)))) in x 1.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot x y))) in x 1.512 * [taylor]: Taking taylor expansion of 1/3 in x 1.512 * [taylor]: Taking taylor expansion of (log (hypot x y)) in x 1.512 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.512 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.512 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.512 * [taylor]: Taking taylor expansion of (* x x) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of (* y y) in x 1.512 * [taylor]: Taking taylor expansion of y in x 1.512 * [taylor]: Taking taylor expansion of y in x 1.514 * [taylor]: Taking taylor expansion of (pow (hypot x y) 1/3) in x 1.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot x y)))) in x 1.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot x y))) in x 1.514 * [taylor]: Taking taylor expansion of 1/3 in x 1.514 * [taylor]: Taking taylor expansion of (log (hypot x y)) in x 1.514 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.514 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.514 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.514 * [taylor]: Taking taylor expansion of (* x x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (* y y) in x 1.514 * [taylor]: Taking taylor expansion of y in x 1.514 * [taylor]: Taking taylor expansion of y in x 1.516 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.516 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.516 * [taylor]: Taking taylor expansion of 1/3 in y 1.516 * [taylor]: Taking taylor expansion of (log y) in y 1.516 * [taylor]: Taking taylor expansion of y in y 1.518 * [taylor]: Taking taylor expansion of 0 in y 1.524 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y 1.524 * [taylor]: Taking taylor expansion of 1/6 in y 1.524 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 1.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 1.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 1.524 * [taylor]: Taking taylor expansion of 1/3 in y 1.524 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.524 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.524 * [taylor]: Taking taylor expansion of y in y 1.539 * [taylor]: Taking taylor expansion of 0 in y 1.548 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in (x y) around 0 1.548 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in y 1.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 x) (/ 1 y))))) in y 1.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 x) (/ 1 y)))) in y 1.548 * [taylor]: Taking taylor expansion of 1/3 in y 1.548 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 x) (/ 1 y))) in y 1.549 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.549 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.549 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.549 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.549 * [taylor]: Taking taylor expansion of x in y 1.549 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.549 * [taylor]: Taking taylor expansion of x in y 1.549 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.549 * [taylor]: Taking taylor expansion of y in y 1.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.549 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in x 1.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 x) (/ 1 y))))) in x 1.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 x) (/ 1 y)))) in x 1.553 * [taylor]: Taking taylor expansion of 1/3 in x 1.553 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 x) (/ 1 y))) in x 1.553 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.553 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.553 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.553 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.554 * [taylor]: Taking taylor expansion of y in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.554 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in x 1.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 x) (/ 1 y))))) in x 1.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 x) (/ 1 y)))) in x 1.558 * [taylor]: Taking taylor expansion of 1/3 in x 1.558 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 x) (/ 1 y))) in x 1.558 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.558 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.558 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.558 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.559 * [taylor]: Taking taylor expansion of y in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.559 * [taylor]: Taking taylor expansion of y in x 1.562 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.562 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.562 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.562 * [taylor]: Taking taylor expansion of -1/3 in y 1.562 * [taylor]: Taking taylor expansion of (log x) in y 1.562 * [taylor]: Taking taylor expansion of x in y 1.564 * [taylor]: Taking taylor expansion of 0 in y 1.571 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.571 * [taylor]: Taking taylor expansion of 1/6 in y 1.571 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.571 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.571 * [taylor]: Taking taylor expansion of 1/3 in y 1.571 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.571 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.571 * [taylor]: Taking taylor expansion of x in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.590 * [taylor]: Taking taylor expansion of 0 in y 1.590 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in (x y) around 0 1.590 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in y 1.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 x) (/ -1 y))))) in y 1.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 x) (/ -1 y)))) in y 1.590 * [taylor]: Taking taylor expansion of 1/3 in y 1.590 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 x) (/ -1 y))) in y 1.590 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.590 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.591 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.591 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.591 * [taylor]: Taking taylor expansion of -1 in y 1.591 * [taylor]: Taking taylor expansion of x in y 1.591 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.591 * [taylor]: Taking taylor expansion of -1 in y 1.591 * [taylor]: Taking taylor expansion of x in y 1.591 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.591 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.591 * [taylor]: Taking taylor expansion of -1 in y 1.591 * [taylor]: Taking taylor expansion of y in y 1.591 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.591 * [taylor]: Taking taylor expansion of -1 in y 1.591 * [taylor]: Taking taylor expansion of y in y 1.595 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in x 1.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 x) (/ -1 y))))) in x 1.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 x) (/ -1 y)))) in x 1.595 * [taylor]: Taking taylor expansion of 1/3 in x 1.595 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 x) (/ -1 y))) in x 1.595 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.595 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.595 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.595 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.595 * [taylor]: Taking taylor expansion of -1 in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.596 * [taylor]: Taking taylor expansion of -1 in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.596 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.596 * [taylor]: Taking taylor expansion of -1 in x 1.596 * [taylor]: Taking taylor expansion of y in x 1.596 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.596 * [taylor]: Taking taylor expansion of -1 in x 1.596 * [taylor]: Taking taylor expansion of y in x 1.600 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in x 1.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 x) (/ -1 y))))) in x 1.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 x) (/ -1 y)))) in x 1.600 * [taylor]: Taking taylor expansion of 1/3 in x 1.600 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 x) (/ -1 y))) in x 1.600 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.600 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.600 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.600 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.600 * [taylor]: Taking taylor expansion of -1 in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.600 * [taylor]: Taking taylor expansion of -1 in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.601 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.601 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.601 * [taylor]: Taking taylor expansion of -1 in x 1.601 * [taylor]: Taking taylor expansion of y in x 1.601 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.601 * [taylor]: Taking taylor expansion of -1 in x 1.601 * [taylor]: Taking taylor expansion of y in x 1.604 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.604 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.604 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.605 * [taylor]: Taking taylor expansion of -1/3 in y 1.605 * [taylor]: Taking taylor expansion of (log x) in y 1.605 * [taylor]: Taking taylor expansion of x in y 1.607 * [taylor]: Taking taylor expansion of 0 in y 1.614 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.614 * [taylor]: Taking taylor expansion of 1/6 in y 1.614 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.614 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.614 * [taylor]: Taking taylor expansion of 1/3 in y 1.614 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.614 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.614 * [taylor]: Taking taylor expansion of x in y 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.614 * [taylor]: Taking taylor expansion of y in y 1.636 * [taylor]: Taking taylor expansion of 0 in y 1.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.637 * [approximate]: Taking taylor expansion of (pow (hypot x y) 1/3) in (x y) around 0 1.637 * [taylor]: Taking taylor expansion of (pow (hypot x y) 1/3) in y 1.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot x y)))) in y 1.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot x y))) in y 1.637 * [taylor]: Taking taylor expansion of 1/3 in y 1.637 * [taylor]: Taking taylor expansion of (log (hypot x y)) in y 1.637 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.637 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.637 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.637 * [taylor]: Taking taylor expansion of (* x x) in y 1.637 * [taylor]: Taking taylor expansion of x in y 1.637 * [taylor]: Taking taylor expansion of x in y 1.637 * [taylor]: Taking taylor expansion of (* y y) in y 1.637 * [taylor]: Taking taylor expansion of y in y 1.637 * [taylor]: Taking taylor expansion of y in y 1.639 * [taylor]: Taking taylor expansion of (pow (hypot x y) 1/3) in x 1.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot x y)))) in x 1.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot x y))) in x 1.639 * [taylor]: Taking taylor expansion of 1/3 in x 1.639 * [taylor]: Taking taylor expansion of (log (hypot x y)) in x 1.639 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.639 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.639 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.639 * [taylor]: Taking taylor expansion of (* x x) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of (* y y) in x 1.639 * [taylor]: Taking taylor expansion of y in x 1.639 * [taylor]: Taking taylor expansion of y in x 1.641 * [taylor]: Taking taylor expansion of (pow (hypot x y) 1/3) in x 1.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot x y)))) in x 1.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot x y))) in x 1.641 * [taylor]: Taking taylor expansion of 1/3 in x 1.641 * [taylor]: Taking taylor expansion of (log (hypot x y)) in x 1.641 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.641 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.641 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.641 * [taylor]: Taking taylor expansion of (* x x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of (* y y) in x 1.641 * [taylor]: Taking taylor expansion of y in x 1.641 * [taylor]: Taking taylor expansion of y in x 1.642 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.642 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.642 * [taylor]: Taking taylor expansion of 1/3 in y 1.642 * [taylor]: Taking taylor expansion of (log y) in y 1.642 * [taylor]: Taking taylor expansion of y in y 1.645 * [taylor]: Taking taylor expansion of 0 in y 1.650 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y 1.650 * [taylor]: Taking taylor expansion of 1/6 in y 1.650 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 1.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 1.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 1.650 * [taylor]: Taking taylor expansion of 1/3 in y 1.650 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.650 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.661 * [taylor]: Taking taylor expansion of 0 in y 1.670 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in (x y) around 0 1.670 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in y 1.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 x) (/ 1 y))))) in y 1.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 x) (/ 1 y)))) in y 1.670 * [taylor]: Taking taylor expansion of 1/3 in y 1.670 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 x) (/ 1 y))) in y 1.670 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.671 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.671 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.671 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.671 * [taylor]: Taking taylor expansion of x in y 1.671 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.671 * [taylor]: Taking taylor expansion of x in y 1.671 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.671 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.671 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.675 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in x 1.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 x) (/ 1 y))))) in x 1.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 x) (/ 1 y)))) in x 1.675 * [taylor]: Taking taylor expansion of 1/3 in x 1.675 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 x) (/ 1 y))) in x 1.675 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.675 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.675 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.675 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.679 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in x 1.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 x) (/ 1 y))))) in x 1.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 x) (/ 1 y)))) in x 1.680 * [taylor]: Taking taylor expansion of 1/3 in x 1.680 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 x) (/ 1 y))) in x 1.680 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.680 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.680 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.680 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.680 * [taylor]: Taking taylor expansion of y in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.684 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.684 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.684 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.684 * [taylor]: Taking taylor expansion of -1/3 in y 1.684 * [taylor]: Taking taylor expansion of (log x) in y 1.684 * [taylor]: Taking taylor expansion of x in y 1.686 * [taylor]: Taking taylor expansion of 0 in y 1.693 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.693 * [taylor]: Taking taylor expansion of 1/6 in y 1.694 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.694 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.694 * [taylor]: Taking taylor expansion of 1/3 in y 1.694 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.694 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.694 * [taylor]: Taking taylor expansion of x in y 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.694 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of 0 in y 1.712 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in (x y) around 0 1.712 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in y 1.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 x) (/ -1 y))))) in y 1.712 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 x) (/ -1 y)))) in y 1.712 * [taylor]: Taking taylor expansion of 1/3 in y 1.712 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 x) (/ -1 y))) in y 1.712 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.712 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.712 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.712 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.713 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.713 * [taylor]: Taking taylor expansion of -1 in y 1.713 * [taylor]: Taking taylor expansion of x in y 1.713 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.713 * [taylor]: Taking taylor expansion of -1 in y 1.713 * [taylor]: Taking taylor expansion of x in y 1.713 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.713 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.713 * [taylor]: Taking taylor expansion of -1 in y 1.713 * [taylor]: Taking taylor expansion of y in y 1.713 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.713 * [taylor]: Taking taylor expansion of -1 in y 1.713 * [taylor]: Taking taylor expansion of y in y 1.717 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in x 1.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 x) (/ -1 y))))) in x 1.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 x) (/ -1 y)))) in x 1.717 * [taylor]: Taking taylor expansion of 1/3 in x 1.717 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 x) (/ -1 y))) in x 1.717 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.717 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.717 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.717 * [taylor]: Taking taylor expansion of -1 in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.718 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.718 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.718 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [taylor]: Taking taylor expansion of y in x 1.718 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.718 * [taylor]: Taking taylor expansion of -1 in x 1.718 * [taylor]: Taking taylor expansion of y in x 1.722 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in x 1.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 x) (/ -1 y))))) in x 1.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 x) (/ -1 y)))) in x 1.722 * [taylor]: Taking taylor expansion of 1/3 in x 1.722 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 x) (/ -1 y))) in x 1.722 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.722 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.722 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.722 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.722 * [taylor]: Taking taylor expansion of -1 in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.722 * [taylor]: Taking taylor expansion of -1 in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.723 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.723 * [taylor]: Taking taylor expansion of -1 in x 1.723 * [taylor]: Taking taylor expansion of y in x 1.723 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.723 * [taylor]: Taking taylor expansion of -1 in x 1.723 * [taylor]: Taking taylor expansion of y in x 1.732 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.732 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.732 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.732 * [taylor]: Taking taylor expansion of -1/3 in y 1.732 * [taylor]: Taking taylor expansion of (log x) in y 1.732 * [taylor]: Taking taylor expansion of x in y 1.734 * [taylor]: Taking taylor expansion of 0 in y 1.742 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.742 * [taylor]: Taking taylor expansion of 1/6 in y 1.742 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.742 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.742 * [taylor]: Taking taylor expansion of 1/3 in y 1.742 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.742 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.742 * [taylor]: Taking taylor expansion of x in y 1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.742 * [taylor]: Taking taylor expansion of y in y 1.761 * [taylor]: Taking taylor expansion of 0 in y 1.761 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.761 * [approximate]: Taking taylor expansion of (pow (hypot x y) 1/3) in (x y) around 0 1.761 * [taylor]: Taking taylor expansion of (pow (hypot x y) 1/3) in y 1.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot x y)))) in y 1.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot x y))) in y 1.761 * [taylor]: Taking taylor expansion of 1/3 in y 1.761 * [taylor]: Taking taylor expansion of (log (hypot x y)) in y 1.761 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.761 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.761 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.761 * [taylor]: Taking taylor expansion of (* x x) in y 1.761 * [taylor]: Taking taylor expansion of x in y 1.761 * [taylor]: Taking taylor expansion of x in y 1.761 * [taylor]: Taking taylor expansion of (* y y) in y 1.761 * [taylor]: Taking taylor expansion of y in y 1.761 * [taylor]: Taking taylor expansion of y in y 1.763 * [taylor]: Taking taylor expansion of (pow (hypot x y) 1/3) in x 1.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot x y)))) in x 1.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot x y))) in x 1.763 * [taylor]: Taking taylor expansion of 1/3 in x 1.763 * [taylor]: Taking taylor expansion of (log (hypot x y)) in x 1.763 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.763 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.763 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.763 * [taylor]: Taking taylor expansion of (* x x) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of (* y y) in x 1.763 * [taylor]: Taking taylor expansion of y in x 1.763 * [taylor]: Taking taylor expansion of y in x 1.764 * [taylor]: Taking taylor expansion of (pow (hypot x y) 1/3) in x 1.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot x y)))) in x 1.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot x y))) in x 1.765 * [taylor]: Taking taylor expansion of 1/3 in x 1.765 * [taylor]: Taking taylor expansion of (log (hypot x y)) in x 1.765 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.765 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.765 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.765 * [taylor]: Taking taylor expansion of (* x x) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (* y y) in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.766 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.766 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.766 * [taylor]: Taking taylor expansion of 1/3 in y 1.766 * [taylor]: Taking taylor expansion of (log y) in y 1.766 * [taylor]: Taking taylor expansion of y in y 1.768 * [taylor]: Taking taylor expansion of 0 in y 1.774 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y 1.774 * [taylor]: Taking taylor expansion of 1/6 in y 1.774 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y 1.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y 1.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y 1.774 * [taylor]: Taking taylor expansion of 1/3 in y 1.774 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.774 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.774 * [taylor]: Taking taylor expansion of y in y 1.784 * [taylor]: Taking taylor expansion of 0 in y 1.794 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in (x y) around 0 1.794 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in y 1.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 x) (/ 1 y))))) in y 1.794 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 x) (/ 1 y)))) in y 1.794 * [taylor]: Taking taylor expansion of 1/3 in y 1.794 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 x) (/ 1 y))) in y 1.794 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.795 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.795 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.795 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.795 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.795 * [taylor]: Taking taylor expansion of x in y 1.795 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.795 * [taylor]: Taking taylor expansion of x in y 1.795 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.795 * [taylor]: Taking taylor expansion of y in y 1.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.795 * [taylor]: Taking taylor expansion of y in y 1.799 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in x 1.799 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 x) (/ 1 y))))) in x 1.799 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 x) (/ 1 y)))) in x 1.799 * [taylor]: Taking taylor expansion of 1/3 in x 1.799 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 x) (/ 1 y))) in x 1.799 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.799 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.799 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.799 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.799 * [taylor]: Taking taylor expansion of x in x 1.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.800 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.800 * [taylor]: Taking taylor expansion of y in x 1.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.800 * [taylor]: Taking taylor expansion of y in x 1.803 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 1/3) in x 1.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 x) (/ 1 y))))) in x 1.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 x) (/ 1 y)))) in x 1.804 * [taylor]: Taking taylor expansion of 1/3 in x 1.804 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 x) (/ 1 y))) in x 1.804 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.804 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.804 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.804 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.804 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.804 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.804 * [taylor]: Taking taylor expansion of y in x 1.805 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.805 * [taylor]: Taking taylor expansion of y in x 1.808 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.808 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.808 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.808 * [taylor]: Taking taylor expansion of -1/3 in y 1.808 * [taylor]: Taking taylor expansion of (log x) in y 1.808 * [taylor]: Taking taylor expansion of x in y 1.810 * [taylor]: Taking taylor expansion of 0 in y 1.817 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.817 * [taylor]: Taking taylor expansion of 1/6 in y 1.817 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.817 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.817 * [taylor]: Taking taylor expansion of 1/3 in y 1.817 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.817 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.817 * [taylor]: Taking taylor expansion of x in y 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.818 * [taylor]: Taking taylor expansion of y in y 1.842 * [taylor]: Taking taylor expansion of 0 in y 1.843 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in (x y) around 0 1.843 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in y 1.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 x) (/ -1 y))))) in y 1.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 x) (/ -1 y)))) in y 1.843 * [taylor]: Taking taylor expansion of 1/3 in y 1.843 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 x) (/ -1 y))) in y 1.843 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.843 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.843 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.843 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.843 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.843 * [taylor]: Taking taylor expansion of -1 in y 1.843 * [taylor]: Taking taylor expansion of x in y 1.843 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.843 * [taylor]: Taking taylor expansion of -1 in y 1.843 * [taylor]: Taking taylor expansion of x in y 1.843 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.843 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.843 * [taylor]: Taking taylor expansion of -1 in y 1.843 * [taylor]: Taking taylor expansion of y in y 1.844 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.844 * [taylor]: Taking taylor expansion of -1 in y 1.844 * [taylor]: Taking taylor expansion of y in y 1.847 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in x 1.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 x) (/ -1 y))))) in x 1.847 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 x) (/ -1 y)))) in x 1.847 * [taylor]: Taking taylor expansion of 1/3 in x 1.847 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 x) (/ -1 y))) in x 1.847 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.848 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.848 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.848 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.848 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.848 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.848 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [taylor]: Taking taylor expansion of y in x 1.849 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.849 * [taylor]: Taking taylor expansion of -1 in x 1.849 * [taylor]: Taking taylor expansion of y in x 1.852 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 1/3) in x 1.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 x) (/ -1 y))))) in x 1.852 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 x) (/ -1 y)))) in x 1.852 * [taylor]: Taking taylor expansion of 1/3 in x 1.852 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 x) (/ -1 y))) in x 1.852 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.852 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.852 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.852 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.852 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.852 * [taylor]: Taking taylor expansion of -1 in x 1.852 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.853 * [taylor]: Taking taylor expansion of -1 in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.853 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.853 * [taylor]: Taking taylor expansion of -1 in x 1.853 * [taylor]: Taking taylor expansion of y in x 1.853 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.853 * [taylor]: Taking taylor expansion of -1 in x 1.853 * [taylor]: Taking taylor expansion of y in x 1.857 * [taylor]: Taking taylor expansion of (pow x -1/3) in y 1.857 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log x))) in y 1.857 * [taylor]: Taking taylor expansion of (* -1/3 (log x)) in y 1.857 * [taylor]: Taking taylor expansion of -1/3 in y 1.857 * [taylor]: Taking taylor expansion of (log x) in y 1.857 * [taylor]: Taking taylor expansion of x in y 1.859 * [taylor]: Taking taylor expansion of 0 in y 1.866 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2)))) in y 1.866 * [taylor]: Taking taylor expansion of 1/6 in y 1.866 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/3) (/ 1 (pow y 2))) in y 1.866 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in y 1.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in y 1.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in y 1.866 * [taylor]: Taking taylor expansion of 1/3 in y 1.866 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.866 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.866 * [taylor]: Taking taylor expansion of x in y 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.866 * [taylor]: Taking taylor expansion of y in y 1.885 * [taylor]: Taking taylor expansion of 0 in y 1.885 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.885 * [approximate]: Taking taylor expansion of (pow (pow (hypot x y) 2) 1/3) in (x y) around 0 1.885 * [taylor]: Taking taylor expansion of (pow (pow (hypot x y) 2) 1/3) in y 1.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot x y) 2)))) in y 1.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot x y) 2))) in y 1.885 * [taylor]: Taking taylor expansion of 1/3 in y 1.885 * [taylor]: Taking taylor expansion of (log (pow (hypot x y) 2)) in y 1.885 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.885 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.885 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.885 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.885 * [taylor]: Taking taylor expansion of (* x x) in y 1.885 * [taylor]: Taking taylor expansion of x in y 1.885 * [taylor]: Taking taylor expansion of x in y 1.885 * [taylor]: Taking taylor expansion of (* y y) in y 1.885 * [taylor]: Taking taylor expansion of y in y 1.885 * [taylor]: Taking taylor expansion of y in y 1.887 * [taylor]: Taking taylor expansion of (pow (pow (hypot x y) 2) 1/3) in x 1.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot x y) 2)))) in x 1.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot x y) 2))) in x 1.887 * [taylor]: Taking taylor expansion of 1/3 in x 1.887 * [taylor]: Taking taylor expansion of (log (pow (hypot x y) 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.887 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.887 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.887 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.887 * [taylor]: Taking taylor expansion of (* x x) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (* y y) in x 1.887 * [taylor]: Taking taylor expansion of y in x 1.887 * [taylor]: Taking taylor expansion of y in x 1.889 * [taylor]: Taking taylor expansion of (pow (pow (hypot x y) 2) 1/3) in x 1.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot x y) 2)))) in x 1.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot x y) 2))) in x 1.889 * [taylor]: Taking taylor expansion of 1/3 in x 1.889 * [taylor]: Taking taylor expansion of (log (pow (hypot x y) 2)) in x 1.889 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.889 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.889 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.889 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.889 * [taylor]: Taking taylor expansion of (* x x) in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.889 * [taylor]: Taking taylor expansion of (* y y) in x 1.889 * [taylor]: Taking taylor expansion of y in x 1.889 * [taylor]: Taking taylor expansion of y in x 1.891 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.891 * [taylor]: Taking taylor expansion of 1/3 in y 1.891 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.891 * [taylor]: Taking taylor expansion of y in y 1.894 * [taylor]: Taking taylor expansion of 0 in y 1.900 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.901 * [taylor]: Taking taylor expansion of 1/3 in y 1.901 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.901 * [taylor]: Taking taylor expansion of 1/3 in y 1.901 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.901 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.901 * [taylor]: Taking taylor expansion of y in y 1.912 * [taylor]: Taking taylor expansion of 0 in y 1.922 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 x) (/ 1 y)) 2) 1/3) in (x y) around 0 1.922 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 x) (/ 1 y)) 2) 1/3) in y 1.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 x) (/ 1 y)) 2)))) in y 1.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 x) (/ 1 y)) 2))) in y 1.922 * [taylor]: Taking taylor expansion of 1/3 in y 1.922 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.922 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.922 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.922 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.922 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.922 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.922 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.922 * [taylor]: Taking taylor expansion of x in y 1.922 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.922 * [taylor]: Taking taylor expansion of x in y 1.922 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.922 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.922 * [taylor]: Taking taylor expansion of y in y 1.923 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.923 * [taylor]: Taking taylor expansion of y in y 1.932 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 x) (/ 1 y)) 2) 1/3) in x 1.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 x) (/ 1 y)) 2)))) in x 1.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 x) (/ 1 y)) 2))) in x 1.933 * [taylor]: Taking taylor expansion of 1/3 in x 1.933 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.933 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.933 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.933 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.933 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.933 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.934 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.934 * [taylor]: Taking taylor expansion of y in x 1.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.934 * [taylor]: Taking taylor expansion of y in x 1.937 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 x) (/ 1 y)) 2) 1/3) in x 1.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 x) (/ 1 y)) 2)))) in x 1.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 x) (/ 1 y)) 2))) in x 1.938 * [taylor]: Taking taylor expansion of 1/3 in x 1.938 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.938 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.938 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.938 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.938 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.938 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.938 * [taylor]: Taking taylor expansion of y in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.939 * [taylor]: Taking taylor expansion of y in x 1.943 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.943 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.943 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.943 * [taylor]: Taking taylor expansion of -2/3 in y 1.943 * [taylor]: Taking taylor expansion of (log x) in y 1.943 * [taylor]: Taking taylor expansion of x in y 1.945 * [taylor]: Taking taylor expansion of 0 in y 1.953 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.953 * [taylor]: Taking taylor expansion of 1/3 in y 1.953 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.953 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.953 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.953 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.953 * [taylor]: Taking taylor expansion of 1/3 in y 1.953 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.953 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.953 * [taylor]: Taking taylor expansion of x in y 1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.953 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.953 * [taylor]: Taking taylor expansion of y in y 1.973 * [taylor]: Taking taylor expansion of 0 in y 1.974 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 x) (/ -1 y)) 2) 1/3) in (x y) around 0 1.974 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 x) (/ -1 y)) 2) 1/3) in y 1.974 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 x) (/ -1 y)) 2)))) in y 1.974 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.974 * [taylor]: Taking taylor expansion of 1/3 in y 1.974 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.974 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.974 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.974 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.974 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.974 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.974 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.974 * [taylor]: Taking taylor expansion of -1 in y 1.974 * [taylor]: Taking taylor expansion of x in y 1.974 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.974 * [taylor]: Taking taylor expansion of -1 in y 1.974 * [taylor]: Taking taylor expansion of x in y 1.974 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.974 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.974 * [taylor]: Taking taylor expansion of -1 in y 1.974 * [taylor]: Taking taylor expansion of y in y 1.975 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.975 * [taylor]: Taking taylor expansion of -1 in y 1.975 * [taylor]: Taking taylor expansion of y in y 1.979 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 x) (/ -1 y)) 2) 1/3) in x 1.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 x) (/ -1 y)) 2)))) in x 1.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.979 * [taylor]: Taking taylor expansion of 1/3 in x 1.979 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.979 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.979 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.979 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.979 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.979 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.979 * [taylor]: Taking taylor expansion of -1 in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.980 * [taylor]: Taking taylor expansion of -1 in x 1.980 * [taylor]: Taking taylor expansion of x in x 1.980 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.980 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.980 * [taylor]: Taking taylor expansion of -1 in x 1.980 * [taylor]: Taking taylor expansion of y in x 1.980 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.980 * [taylor]: Taking taylor expansion of -1 in x 1.980 * [taylor]: Taking taylor expansion of y in x 1.984 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 x) (/ -1 y)) 2) 1/3) in x 1.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 x) (/ -1 y)) 2)))) in x 1.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.984 * [taylor]: Taking taylor expansion of 1/3 in x 1.984 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.984 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.984 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.984 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.984 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.984 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.984 * [taylor]: Taking taylor expansion of -1 in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.985 * [taylor]: Taking taylor expansion of -1 in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.985 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.985 * [taylor]: Taking taylor expansion of -1 in x 1.985 * [taylor]: Taking taylor expansion of y in x 1.985 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.985 * [taylor]: Taking taylor expansion of -1 in x 1.985 * [taylor]: Taking taylor expansion of y in x 1.989 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.989 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.989 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.989 * [taylor]: Taking taylor expansion of -2/3 in y 1.989 * [taylor]: Taking taylor expansion of (log x) in y 1.989 * [taylor]: Taking taylor expansion of x in y 1.992 * [taylor]: Taking taylor expansion of 0 in y 1.999 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.999 * [taylor]: Taking taylor expansion of 1/3 in y 1.999 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.999 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.999 * [taylor]: Taking taylor expansion of 1/3 in y 1.999 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.999 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.999 * [taylor]: Taking taylor expansion of x in y 2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.000 * [taylor]: Taking taylor expansion of y in y 2.020 * [taylor]: Taking taylor expansion of 0 in y 2.020 * * * [progress]: simplifying candidates 2.021 * [simplify]: Simplifying using # : (expm1 (cbrt (hypot x y))) (log1p (cbrt (hypot x y))) (log (cbrt (hypot x y))) (exp (cbrt (hypot x y))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))) (cbrt 1) (cbrt (hypot x y)) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (expm1 (cbrt (hypot x y))) (log1p (cbrt (hypot x y))) (log (cbrt (hypot x y))) (exp (cbrt (hypot x y))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))) (cbrt 1) (cbrt (hypot x y)) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (expm1 (cbrt (hypot x y))) (log1p (cbrt (hypot x y))) (log (cbrt (hypot x y))) (exp (cbrt (hypot x y))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))) (cbrt 1) (cbrt (hypot x y)) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (expm1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (log1p (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (+ 1/3 1/3) (+ 1 1) (* (hypot x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (+ 1 1) (+ (log (cbrt (hypot x y))) (log (cbrt (hypot x y)))) (log (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (exp (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (hypot x y) (hypot x y)) (* (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y))))) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (* (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* 1 1) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* (sqrt (cbrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (sqrt (cbrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* 2 1/3) (* 2 1) (* (cbrt (hypot x y)) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (cbrt (hypot x y)) (cbrt (sqrt (hypot x y)))) (* (cbrt (hypot x y)) (cbrt 1)) (* (cbrt (hypot x y)) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y))))) (* (cbrt (hypot x y)) (sqrt (cbrt (hypot x y)))) (* (cbrt (hypot x y)) 1) (* (cbrt (cbrt (hypot x y))) (cbrt (hypot x y))) (* (cbrt (sqrt (hypot x y))) (cbrt (hypot x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (cbrt (hypot x y))) (cbrt (hypot x y))) (* (sqrt (cbrt (hypot x y))) (cbrt (hypot x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) 2.033 * * [simplify]: iteration 0 : 148 enodes (cost 476 ) 2.038 * * [simplify]: iteration 1 : 573 enodes (cost 438 ) 2.066 * * [simplify]: iteration 2 : 2836 enodes (cost 406 ) 2.158 * * [simplify]: iteration 3 : 5001 enodes (cost 402 ) 2.161 * [simplify]: Simplified to: (expm1 (cbrt (hypot x y))) (log1p (cbrt (hypot x y))) (log (cbrt (hypot x y))) (exp (cbrt (hypot x y))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))) 1 (cbrt (hypot x y)) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (hypot x y) (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (expm1 (cbrt (hypot x y))) (log1p (cbrt (hypot x y))) (log (cbrt (hypot x y))) (exp (cbrt (hypot x y))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))) 1 (cbrt (hypot x y)) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (hypot x y) (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (expm1 (cbrt (hypot x y))) (log1p (cbrt (hypot x y))) (log (cbrt (hypot x y))) (exp (cbrt (hypot x y))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))) 1 (cbrt (hypot x y)) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (cbrt (cbrt (hypot x y))) (hypot x y) (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (expm1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (log1p (* (cbrt (hypot x y)) (cbrt (hypot x y)))) 2/3 2 (pow (cbrt (hypot x y)) 6) (pow (sqrt (cbrt (hypot x y))) 4) 2 (* 2 (log (cbrt (hypot x y)))) (* 2 (log (cbrt (hypot x y)))) (exp (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (pow (cbrt (hypot x y)) 6) (* (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (pow (cbrt (hypot x y)) 6) (fabs (cbrt (hypot x y))) (fabs (cbrt (hypot x y))) (* (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) 1 (pow (sqrt (cbrt (hypot x y))) 4) (pow (cbrt (cbrt (hypot x y))) 4) (* (cbrt (cbrt (hypot x y))) (cbrt (cbrt (hypot x y)))) (cbrt (hypot x y)) (cbrt (hypot x y)) 1 (pow (sqrt (cbrt (hypot x y))) 4) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (cbrt (hypot x y)) (cbrt (hypot x y)) 2/3 2 (* (cbrt (hypot x y)) (cbrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (cbrt (hypot x y)) (cbrt (sqrt (hypot x y)))) (cbrt (hypot x y)) (pow (cbrt (cbrt (hypot x y))) 5) (pow (sqrt (cbrt (hypot x y))) 3) (cbrt (hypot x y)) (pow (cbrt (cbrt (hypot x y))) 4) (* (cbrt (hypot x y)) (cbrt (sqrt (hypot x y)))) (pow (sqrt (cbrt (hypot x y))) 4) (pow (cbrt (cbrt (hypot x y))) 4) (pow (sqrt (cbrt (hypot x y))) 3) (pow (sqrt (cbrt (hypot x y))) 4) (fma 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3)) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) (fma 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3)) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) (fma 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3)) (pow y 1/3)) (pow (/ 1 x) -1/3) (pow (/ -1 x) -1/3) (fma (* 1/3 (pow x 2)) (pow (/ 1 (pow y 4)) 1/3) (pow y 2/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) 2.162 * * * [progress]: adding candidates to table 2.416 * [progress]: [Phase 3 of 3] Extracting. 2.417 * * [regime]: Finding splitpoints for: (# # #) 2.417 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.417 * * * * [regimes]: Trying to branch on z from (# # #) 2.434 * * * * [regimes]: Trying to branch on y from (# # #) 2.455 * * * * [regimes]: Trying to branch on x from (# # #) 2.473 * * * [regime]: Found split indices: #