19.897 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.035 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.037 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.039 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.040 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.042 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.042 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.075 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.075 * [taylor]: Taking taylor expansion of x in z 0.075 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.075 * [taylor]: Taking taylor expansion of y in z 0.075 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.075 * [taylor]: Taking taylor expansion of z in z 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.077 * [taylor]: Taking taylor expansion of z in y 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.078 * [taylor]: Taking taylor expansion of z in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.079 * [taylor]: Taking taylor expansion of z in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.081 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.081 * [taylor]: Taking taylor expansion of z in y 0.081 * [taylor]: Taking taylor expansion of z in z 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in z 0.081 * [taylor]: Taking taylor expansion of 0 in z 0.083 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.083 * [taylor]: Taking taylor expansion of 1/2 in y 0.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.083 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.084 * [taylor]: Taking taylor expansion of z in y 0.084 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.084 * [taylor]: Taking taylor expansion of 1/2 in z 0.084 * [taylor]: Taking taylor expansion of z in z 0.085 * [taylor]: Taking taylor expansion of 0 in z 0.086 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.086 * [taylor]: Taking taylor expansion of 1/2 in z 0.086 * [taylor]: Taking taylor expansion of z in z 0.088 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.088 * [taylor]: Taking taylor expansion of x in z 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.088 * [taylor]: Taking taylor expansion of z in z 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.089 * [taylor]: Taking taylor expansion of y in z 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.092 * [taylor]: Taking taylor expansion of z in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [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 (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.098 * [taylor]: Taking taylor expansion of z in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of 1 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 1 in z 0.103 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.103 * [taylor]: Taking taylor expansion of 1/2 in y 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.103 * [taylor]: Taking taylor expansion of z in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.109 * [taylor]: Taking taylor expansion of 1/2 in z 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.109 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.109 * [taylor]: Taking taylor expansion of z in z 0.111 * [taylor]: Taking taylor expansion of 0 in z 0.111 * [taylor]: Taking taylor expansion of 0 in z 0.115 * [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 0.115 * [taylor]: Taking taylor expansion of -1/2 in y 0.115 * [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 0.115 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.115 * [taylor]: Taking taylor expansion of 1/4 in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.115 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.115 * [taylor]: Taking taylor expansion of z in y 0.115 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.115 * [taylor]: Taking taylor expansion of 1/2 in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.115 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.115 * [taylor]: Taking taylor expansion of z in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.116 * [taylor]: Taking taylor expansion of 1/4 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of 0 in z 0.127 * [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 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.131 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.131 * [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 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.135 * [taylor]: Taking taylor expansion of z in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.138 * [taylor]: Taking taylor expansion of z in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.141 * [taylor]: Taking taylor expansion of z in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [taylor]: Taking taylor expansion of 1 in z 0.146 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.146 * [taylor]: Taking taylor expansion of 1/2 in y 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.146 * [taylor]: Taking taylor expansion of z in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of 0 in z 0.148 * [taylor]: Taking taylor expansion of 0 in z 0.148 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.152 * [taylor]: Taking taylor expansion of 1/2 in z 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.152 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.152 * [taylor]: Taking taylor expansion of z in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [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 0.161 * [taylor]: Taking taylor expansion of -1/2 in y 0.161 * [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 0.161 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.161 * [taylor]: Taking taylor expansion of 1/4 in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.161 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.161 * [taylor]: Taking taylor expansion of z in y 0.161 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.161 * [taylor]: Taking taylor expansion of 1/2 in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.161 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.161 * [taylor]: Taking taylor expansion of z in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.162 * [taylor]: Taking taylor expansion of 1/4 in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.162 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.175 * [taylor]: Taking taylor expansion of 0 in z 0.175 * [taylor]: Taking taylor expansion of 0 in z 0.175 * [taylor]: Taking taylor expansion of 0 in z 0.177 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.177 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of 1 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of 1 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * * * [progress]: simplifying candidates 0.205 * [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)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.209 * * [simplify]: iteration 0 : 186 enodes (cost 224 ) 0.214 * * [simplify]: iteration 1 : 767 enodes (cost 212 ) 0.228 * * [simplify]: iteration 2 : 2319 enodes (cost 209 ) 0.275 * * [simplify]: iteration 3 : 5001 enodes (cost 207 ) 0.277 * [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)))) 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 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)) z x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.277 * * * [progress]: adding candidates to table 0.382 * * [progress]: iteration 2 / 4 0.382 * * * [progress]: picking best candidate 0.389 * * * * [pick]: Picked # 0.389 * * * [progress]: localizing error 0.397 * * * [progress]: generating rewritten candidates 0.397 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.401 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.401 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.404 * * * [progress]: generating series expansions 0.404 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.405 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.408 * [taylor]: Taking taylor expansion of 1/2 in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of 1 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of 1/2 in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of 1 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of 1/2 in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.446 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.446 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 0.446 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 0.447 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.447 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 0.447 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.447 * [taylor]: Taking taylor expansion of x in z 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.447 * [taylor]: Taking taylor expansion of y in z 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.448 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.448 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.448 * [taylor]: Taking taylor expansion of x in z 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.448 * [taylor]: Taking taylor expansion of y in z 0.449 * [taylor]: Taking taylor expansion of (* z z) in z 0.449 * [taylor]: Taking taylor expansion of z in z 0.449 * [taylor]: Taking taylor expansion of z in z 0.451 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 0.451 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.451 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 0.451 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 0.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (* z z) in y 0.452 * [taylor]: Taking taylor expansion of z in y 0.452 * [taylor]: Taking taylor expansion of z in y 0.453 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.453 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.453 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.453 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.453 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.454 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (* z z) in x 0.455 * [taylor]: Taking taylor expansion of z in x 0.455 * [taylor]: Taking taylor expansion of z in x 0.455 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.455 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.455 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.456 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.456 * [taylor]: Taking taylor expansion of y in x 0.457 * [taylor]: Taking taylor expansion of (* z z) in x 0.457 * [taylor]: Taking taylor expansion of z in x 0.457 * [taylor]: Taking taylor expansion of z in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.458 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.458 * [taylor]: Taking taylor expansion of z in y 0.458 * [taylor]: Taking taylor expansion of z in z 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.458 * [taylor]: Taking taylor expansion of 0 in z 0.458 * [taylor]: Taking taylor expansion of 0 in z 0.462 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.462 * [taylor]: Taking taylor expansion of 1/2 in y 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.462 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.462 * [taylor]: Taking taylor expansion of z in y 0.463 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.463 * [taylor]: Taking taylor expansion of 1/2 in z 0.463 * [taylor]: Taking taylor expansion of z in z 0.464 * [taylor]: Taking taylor expansion of 0 in z 0.465 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.465 * [taylor]: Taking taylor expansion of 1/2 in z 0.465 * [taylor]: Taking taylor expansion of z in z 0.467 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 0.467 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 0.467 * [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)))) 0.467 * [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 0.467 * [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 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.467 * [taylor]: Taking taylor expansion of x in z 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.467 * [taylor]: Taking taylor expansion of y in z 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.468 * [taylor]: Taking taylor expansion of x in z 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.469 * [taylor]: Taking taylor expansion of y in z 0.470 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.470 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.470 * [taylor]: Taking taylor expansion of z in z 0.470 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.470 * [taylor]: Taking taylor expansion of z in z 0.473 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 0.473 * [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)))) 0.473 * [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 0.473 * [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 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.478 * [taylor]: Taking taylor expansion of z in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.478 * [taylor]: Taking taylor expansion of z in y 0.480 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.480 * [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)))) 0.480 * [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 0.480 * [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 0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.487 * [taylor]: Taking taylor expansion of z in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.487 * [taylor]: Taking taylor expansion of z in x 0.488 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.489 * [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)))) 0.489 * [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 0.489 * [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 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.494 * [taylor]: Taking taylor expansion of z in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.494 * [taylor]: Taking taylor expansion of z in x 0.496 * [taylor]: Taking taylor expansion of 1 in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of 1 in z 0.502 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.502 * [taylor]: Taking taylor expansion of 1/2 in y 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.502 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.502 * [taylor]: Taking taylor expansion of z in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of 0 in z 0.504 * [taylor]: Taking taylor expansion of 0 in z 0.504 * [taylor]: Taking taylor expansion of 0 in z 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.511 * [taylor]: Taking taylor expansion of 1/2 in z 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.511 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.511 * [taylor]: Taking taylor expansion of z in z 0.513 * [taylor]: Taking taylor expansion of 0 in z 0.513 * [taylor]: Taking taylor expansion of 0 in z 0.526 * [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 0.527 * [taylor]: Taking taylor expansion of -1/2 in y 0.527 * [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 0.527 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.527 * [taylor]: Taking taylor expansion of 1/4 in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.527 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.527 * [taylor]: Taking taylor expansion of z in y 0.527 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.527 * [taylor]: Taking taylor expansion of 1/2 in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.527 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.527 * [taylor]: Taking taylor expansion of z in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.528 * [taylor]: Taking taylor expansion of 1/4 in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.528 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of 0 in z 0.538 * [taylor]: Taking taylor expansion of 0 in z 0.540 * [taylor]: Taking taylor expansion of 0 in z 0.540 * [taylor]: Taking taylor expansion of 0 in z 0.540 * [taylor]: Taking taylor expansion of 0 in z 0.542 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 0.542 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 0.543 * [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)))) 0.543 * [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 0.543 * [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 0.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.543 * [taylor]: Taking taylor expansion of x in z 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.543 * [taylor]: Taking taylor expansion of y in z 0.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.544 * [taylor]: Taking taylor expansion of x in z 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.544 * [taylor]: Taking taylor expansion of y in z 0.545 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.545 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.545 * [taylor]: Taking taylor expansion of -1 in z 0.545 * [taylor]: Taking taylor expansion of z in z 0.546 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.546 * [taylor]: Taking taylor expansion of -1 in z 0.546 * [taylor]: Taking taylor expansion of z in z 0.549 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 0.549 * [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)))) 0.549 * [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 0.549 * [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 0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.555 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.555 * [taylor]: Taking taylor expansion of -1 in y 0.555 * [taylor]: Taking taylor expansion of z in y 0.555 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.555 * [taylor]: Taking taylor expansion of -1 in y 0.555 * [taylor]: Taking taylor expansion of z in y 0.557 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.557 * [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)))) 0.557 * [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 0.557 * [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 0.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.562 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of z in x 0.562 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of z in x 0.564 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.564 * [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)))) 0.564 * [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 0.564 * [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 0.564 * [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 z) (/ -1 z)) in x 0.570 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of z in x 0.570 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of z in x 0.572 * [taylor]: Taking taylor expansion of 1 in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [taylor]: Taking taylor expansion of 1 in z 0.577 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.577 * [taylor]: Taking taylor expansion of 1/2 in y 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.577 * [taylor]: Taking taylor expansion of z in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of 0 in z 0.580 * [taylor]: Taking taylor expansion of 0 in z 0.580 * [taylor]: Taking taylor expansion of 0 in z 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.587 * [taylor]: Taking taylor expansion of 1/2 in z 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.587 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.587 * [taylor]: Taking taylor expansion of z in z 0.589 * [taylor]: Taking taylor expansion of 0 in z 0.589 * [taylor]: Taking taylor expansion of 0 in z 0.597 * [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 0.597 * [taylor]: Taking taylor expansion of -1/2 in y 0.597 * [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 0.597 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.597 * [taylor]: Taking taylor expansion of 1/4 in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.597 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.597 * [taylor]: Taking taylor expansion of z in y 0.597 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.597 * [taylor]: Taking taylor expansion of 1/2 in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.597 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.597 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.597 * [taylor]: Taking taylor expansion of z in y 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.598 * [taylor]: Taking taylor expansion of 1/4 in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.598 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of 0 in z 0.608 * [taylor]: Taking taylor expansion of 0 in z 0.616 * [taylor]: Taking taylor expansion of 0 in z 0.616 * [taylor]: Taking taylor expansion of 0 in z 0.616 * [taylor]: Taking taylor expansion of 0 in z 0.618 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.618 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.618 * [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 (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of 0 in y 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 0 in y 0.623 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.623 * [taylor]: Taking taylor expansion of x in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of 1 in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of 1 in y 0.638 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.645 * * * [progress]: simplifying candidates 0.646 * [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 (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)) (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)) y x (* -1 x) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.650 * * [simplify]: iteration 0 : 152 enodes (cost 254 ) 0.655 * * [simplify]: iteration 1 : 617 enodes (cost 227 ) 0.665 * * [simplify]: iteration 2 : 1802 enodes (cost 223 ) 0.704 * * [simplify]: iteration 3 : 5002 enodes (cost 221 ) 0.706 * [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 (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)) (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)) y x (* -1 x) z x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.706 * * * [progress]: adding candidates to table 0.843 * * [progress]: iteration 3 / 4 0.843 * * * [progress]: picking best candidate 0.847 * * * * [pick]: Picked # 0.847 * * * [progress]: localizing error 0.852 * * * [progress]: generating rewritten candidates 0.852 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.853 * * * [progress]: generating series expansions 0.853 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.853 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 0.853 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 0.853 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.853 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 0.853 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 0.853 * [taylor]: Taking taylor expansion of (hypot x y) in z 0.853 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.853 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 0.853 * [taylor]: Taking taylor expansion of (* x x) in z 0.853 * [taylor]: Taking taylor expansion of x in z 0.853 * [taylor]: Taking taylor expansion of x in z 0.854 * [taylor]: Taking taylor expansion of (* y y) in z 0.854 * [taylor]: Taking taylor expansion of y in z 0.854 * [taylor]: Taking taylor expansion of y in z 0.855 * [taylor]: Taking taylor expansion of (hypot x y) in z 0.855 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.855 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 0.855 * [taylor]: Taking taylor expansion of (* x x) in z 0.855 * [taylor]: Taking taylor expansion of x in z 0.855 * [taylor]: Taking taylor expansion of x in z 0.855 * [taylor]: Taking taylor expansion of (* y y) in z 0.855 * [taylor]: Taking taylor expansion of y in z 0.855 * [taylor]: Taking taylor expansion of y in z 0.856 * [taylor]: Taking taylor expansion of (* z z) in z 0.856 * [taylor]: Taking taylor expansion of z in z 0.856 * [taylor]: Taking taylor expansion of z in z 0.858 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 0.858 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.858 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 0.858 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 0.858 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.858 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.858 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.858 * [taylor]: Taking taylor expansion of (* x x) in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of x in y 0.859 * [taylor]: Taking taylor expansion of (* y y) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.860 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.860 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.860 * [taylor]: Taking taylor expansion of (* x x) in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of (* y y) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (* z z) in y 0.861 * [taylor]: Taking taylor expansion of z in y 0.861 * [taylor]: Taking taylor expansion of z in y 0.862 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 0.862 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.862 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 0.862 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 0.862 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.862 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.862 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.862 * [taylor]: Taking taylor expansion of (* x x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (* y y) in x 0.862 * [taylor]: Taking taylor expansion of y in x 0.862 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.864 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.864 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.864 * [taylor]: Taking taylor expansion of (* x x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (* y y) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.865 * [taylor]: Taking taylor expansion of (* z z) in x 0.865 * [taylor]: Taking taylor expansion of z in x 0.865 * [taylor]: Taking taylor expansion of z in x 0.870 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 0.870 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.870 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 0.870 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 0.870 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.870 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.870 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.870 * [taylor]: Taking taylor expansion of (* x x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (* y y) in x 0.870 * [taylor]: Taking taylor expansion of y in x 0.870 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.871 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.871 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.871 * [taylor]: Taking taylor expansion of (* x x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (* y y) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of (* z z) in x 0.873 * [taylor]: Taking taylor expansion of z in x 0.873 * [taylor]: Taking taylor expansion of z in x 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.874 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.874 * [taylor]: Taking taylor expansion of z in y 0.874 * [taylor]: Taking taylor expansion of z in z 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [taylor]: Taking taylor expansion of 0 in z 0.874 * [taylor]: Taking taylor expansion of 0 in z 0.879 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.879 * [taylor]: Taking taylor expansion of 1/2 in y 0.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.879 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.879 * [taylor]: Taking taylor expansion of z in y 0.880 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.880 * [taylor]: Taking taylor expansion of 1/2 in z 0.880 * [taylor]: Taking taylor expansion of z in z 0.880 * [taylor]: Taking taylor expansion of 0 in z 0.882 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.882 * [taylor]: Taking taylor expansion of 1/2 in z 0.882 * [taylor]: Taking taylor expansion of z in z 0.883 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 0.883 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 0.883 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.883 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 0.883 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 0.883 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 0.883 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.883 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 0.883 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.883 * [taylor]: Taking taylor expansion of x in z 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.883 * [taylor]: Taking taylor expansion of x in z 0.883 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.883 * [taylor]: Taking taylor expansion of y in z 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.883 * [taylor]: Taking taylor expansion of y in z 0.885 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 0.885 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.885 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 0.885 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.885 * [taylor]: Taking taylor expansion of x in z 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.885 * [taylor]: Taking taylor expansion of x in z 0.885 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.885 * [taylor]: Taking taylor expansion of y in z 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.885 * [taylor]: Taking taylor expansion of y in z 0.886 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.886 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.886 * [taylor]: Taking taylor expansion of z in z 0.886 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.887 * [taylor]: Taking taylor expansion of z in z 0.889 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 0.889 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.889 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 0.890 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 0.890 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.890 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.890 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.890 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.890 * [taylor]: Taking taylor expansion of x in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.890 * [taylor]: Taking taylor expansion of x in y 0.890 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.893 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.893 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.893 * [taylor]: Taking taylor expansion of x in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.893 * [taylor]: Taking taylor expansion of x in y 0.893 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.896 * [taylor]: Taking taylor expansion of z in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.897 * [taylor]: Taking taylor expansion of z in y 0.898 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 0.899 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.899 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 0.899 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 0.899 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.899 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.899 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.902 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.902 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.902 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.902 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.906 * [taylor]: Taking taylor expansion of z in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.906 * [taylor]: Taking taylor expansion of z in x 0.908 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 0.908 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 0.908 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 0.908 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 0.908 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.908 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.908 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.908 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.912 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.912 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.912 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.915 * [taylor]: Taking taylor expansion of z in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.915 * [taylor]: Taking taylor expansion of z in x 0.917 * [taylor]: Taking taylor expansion of 1 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of 1 in z 0.923 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.924 * [taylor]: Taking taylor expansion of 1/2 in y 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.924 * [taylor]: Taking taylor expansion of z in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of 0 in z 0.926 * [taylor]: Taking taylor expansion of 0 in z 0.926 * [taylor]: Taking taylor expansion of 0 in z 0.932 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.934 * [taylor]: Taking taylor expansion of 1/2 in z 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.934 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.934 * [taylor]: Taking taylor expansion of z in z 0.936 * [taylor]: Taking taylor expansion of 0 in z 0.936 * [taylor]: Taking taylor expansion of 0 in z 0.945 * [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 0.945 * [taylor]: Taking taylor expansion of -1/2 in y 0.945 * [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 0.945 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.945 * [taylor]: Taking taylor expansion of 1/4 in y 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.945 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.945 * [taylor]: Taking taylor expansion of z in y 0.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.945 * [taylor]: Taking taylor expansion of 1/2 in y 0.945 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.945 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.945 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.945 * [taylor]: Taking taylor expansion of z in y 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.946 * [taylor]: Taking taylor expansion of 1/4 in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.946 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of 0 in z 0.962 * [taylor]: Taking taylor expansion of 0 in z 0.964 * [taylor]: Taking taylor expansion of 0 in z 0.964 * [taylor]: Taking taylor expansion of 0 in z 0.964 * [taylor]: Taking taylor expansion of 0 in z 0.966 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 0.966 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 0.966 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.966 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 0.966 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 0.966 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 0.966 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.966 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 0.966 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.966 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.966 * [taylor]: Taking taylor expansion of -1 in z 0.966 * [taylor]: Taking taylor expansion of x in z 0.966 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.966 * [taylor]: Taking taylor expansion of -1 in z 0.966 * [taylor]: Taking taylor expansion of x in z 0.966 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 0.966 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.966 * [taylor]: Taking taylor expansion of -1 in z 0.966 * [taylor]: Taking taylor expansion of y in z 0.966 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.966 * [taylor]: Taking taylor expansion of -1 in z 0.966 * [taylor]: Taking taylor expansion of y in z 0.968 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 0.968 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.968 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 0.968 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.968 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.968 * [taylor]: Taking taylor expansion of -1 in z 0.968 * [taylor]: Taking taylor expansion of x in z 0.968 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.968 * [taylor]: Taking taylor expansion of -1 in z 0.968 * [taylor]: Taking taylor expansion of x in z 0.968 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 0.968 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.968 * [taylor]: Taking taylor expansion of -1 in z 0.968 * [taylor]: Taking taylor expansion of y in z 0.968 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.968 * [taylor]: Taking taylor expansion of -1 in z 0.968 * [taylor]: Taking taylor expansion of y in z 0.969 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.969 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.969 * [taylor]: Taking taylor expansion of -1 in z 0.969 * [taylor]: Taking taylor expansion of z in z 0.970 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.970 * [taylor]: Taking taylor expansion of -1 in z 0.970 * [taylor]: Taking taylor expansion of z in z 0.973 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 0.973 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.973 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 0.973 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 0.973 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.973 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.973 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.973 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.973 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.973 * [taylor]: Taking taylor expansion of -1 in y 0.973 * [taylor]: Taking taylor expansion of x in y 0.973 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.973 * [taylor]: Taking taylor expansion of -1 in y 0.973 * [taylor]: Taking taylor expansion of x in y 0.973 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.973 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.973 * [taylor]: Taking taylor expansion of -1 in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.974 * [taylor]: Taking taylor expansion of -1 in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.976 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.977 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.977 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.977 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.977 * [taylor]: Taking taylor expansion of -1 in y 0.977 * [taylor]: Taking taylor expansion of x in y 0.977 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.977 * [taylor]: Taking taylor expansion of -1 in y 0.977 * [taylor]: Taking taylor expansion of x in y 0.977 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.977 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.977 * [taylor]: Taking taylor expansion of -1 in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.977 * [taylor]: Taking taylor expansion of -1 in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.980 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.980 * [taylor]: Taking taylor expansion of -1 in y 0.980 * [taylor]: Taking taylor expansion of z in y 0.980 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.980 * [taylor]: Taking taylor expansion of -1 in y 0.980 * [taylor]: Taking taylor expansion of z in y 0.982 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 0.982 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.982 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 0.982 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 0.982 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.982 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.982 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.982 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.982 * [taylor]: Taking taylor expansion of -1 in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.983 * [taylor]: Taking taylor expansion of -1 in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.983 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.983 * [taylor]: Taking taylor expansion of -1 in x 0.983 * [taylor]: Taking taylor expansion of y in x 0.983 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.983 * [taylor]: Taking taylor expansion of -1 in x 0.983 * [taylor]: Taking taylor expansion of y in x 0.986 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.986 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.986 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.986 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.986 * [taylor]: Taking taylor expansion of -1 in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.986 * [taylor]: Taking taylor expansion of -1 in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.987 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.987 * [taylor]: Taking taylor expansion of -1 in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.987 * [taylor]: Taking taylor expansion of -1 in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.989 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.989 * [taylor]: Taking taylor expansion of -1 in x 0.989 * [taylor]: Taking taylor expansion of z in x 0.990 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.990 * [taylor]: Taking taylor expansion of -1 in x 0.990 * [taylor]: Taking taylor expansion of z in x 0.991 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 0.991 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 0.992 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 0.992 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 0.992 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.992 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.992 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.992 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.992 * [taylor]: Taking taylor expansion of -1 in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.992 * [taylor]: Taking taylor expansion of -1 in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.992 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.992 * [taylor]: Taking taylor expansion of -1 in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.993 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.993 * [taylor]: Taking taylor expansion of -1 in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.995 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.996 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.996 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.996 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.996 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.999 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.999 * [taylor]: Taking taylor expansion of -1 in x 0.999 * [taylor]: Taking taylor expansion of z in x 0.999 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.999 * [taylor]: Taking taylor expansion of -1 in x 0.999 * [taylor]: Taking taylor expansion of z in x 1.001 * [taylor]: Taking taylor expansion of 1 in y 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [taylor]: Taking taylor expansion of 1 in z 1.008 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.008 * [taylor]: Taking taylor expansion of 1/2 in y 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.008 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.008 * [taylor]: Taking taylor expansion of z in y 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of 0 in z 1.010 * [taylor]: Taking taylor expansion of 0 in z 1.010 * [taylor]: Taking taylor expansion of 0 in z 1.017 * [taylor]: Taking taylor expansion of 0 in y 1.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.019 * [taylor]: Taking taylor expansion of 1/2 in z 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.019 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.019 * [taylor]: Taking taylor expansion of z in z 1.021 * [taylor]: Taking taylor expansion of 0 in z 1.021 * [taylor]: Taking taylor expansion of 0 in z 1.030 * [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 1.030 * [taylor]: Taking taylor expansion of -1/2 in y 1.030 * [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 1.030 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.030 * [taylor]: Taking taylor expansion of 1/4 in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.030 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.030 * [taylor]: Taking taylor expansion of z in y 1.030 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.030 * [taylor]: Taking taylor expansion of 1/2 in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.030 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.030 * [taylor]: Taking taylor expansion of z in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.031 * [taylor]: Taking taylor expansion of 1/4 in y 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.031 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of 0 in z 1.041 * [taylor]: Taking taylor expansion of 0 in z 1.044 * [taylor]: Taking taylor expansion of 0 in z 1.044 * [taylor]: Taking taylor expansion of 0 in z 1.044 * [taylor]: Taking taylor expansion of 0 in z 1.045 * * * [progress]: simplifying candidates 1.051 * [simplify]: Simplifying using # : (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)) z x (* -1 x) 1.054 * * [simplify]: iteration 0 : 24 enodes (cost 41 ) 1.055 * * [simplify]: iteration 1 : 27 enodes (cost 36 ) 1.057 * * [simplify]: iteration 2 : 31 enodes (cost 36 ) 1.059 * * [simplify]: iteration 3 : 36 enodes (cost 36 ) 1.061 * * [simplify]: iteration 4 : 55 enodes (cost 36 ) 1.063 * * [simplify]: iteration 5 : 109 enodes (cost 36 ) 1.069 * * [simplify]: iteration 6 : 515 enodes (cost 36 ) 1.086 * * [simplify]: iteration 7 : 1689 enodes (cost 36 ) 1.153 * * [simplify]: iteration 8 : 5001 enodes (cost 36 ) 1.154 * [simplify]: Simplified to: (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)) z x (* -1 x) 1.154 * * * [progress]: adding candidates to table 1.186 * * [progress]: iteration 4 / 4 1.186 * * * [progress]: picking best candidate 1.189 * * * * [pick]: Picked # 1.189 * * * [progress]: localizing error 1.202 * * * [progress]: generating rewritten candidates 1.202 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.260 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.262 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.265 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.268 * * * [progress]: generating series expansions 1.268 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.269 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.269 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.269 * [taylor]: Taking taylor expansion of x in z 1.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.269 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.269 * [taylor]: Taking taylor expansion of y in z 1.269 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.269 * [taylor]: Taking taylor expansion of z in z 1.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.270 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.271 * [taylor]: Taking taylor expansion of x in y 1.271 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.271 * [taylor]: Taking taylor expansion of y in y 1.271 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.271 * [taylor]: Taking taylor expansion of z in y 1.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.272 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.272 * [taylor]: Taking taylor expansion of y in x 1.272 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.272 * [taylor]: Taking taylor expansion of z in x 1.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.273 * [taylor]: Taking taylor expansion of y in x 1.273 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.273 * [taylor]: Taking taylor expansion of z in x 1.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.275 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.275 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.275 * [taylor]: Taking taylor expansion of z in y 1.275 * [taylor]: Taking taylor expansion of z in z 1.275 * [taylor]: Taking taylor expansion of 0 in y 1.275 * [taylor]: Taking taylor expansion of 0 in z 1.275 * [taylor]: Taking taylor expansion of 0 in z 1.277 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.278 * [taylor]: Taking taylor expansion of 1/2 in y 1.278 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.278 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.278 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.278 * [taylor]: Taking taylor expansion of y in y 1.278 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.278 * [taylor]: Taking taylor expansion of z in y 1.278 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.279 * [taylor]: Taking taylor expansion of 1/2 in z 1.279 * [taylor]: Taking taylor expansion of z in z 1.279 * [taylor]: Taking taylor expansion of 0 in z 1.281 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.281 * [taylor]: Taking taylor expansion of 1/2 in z 1.281 * [taylor]: Taking taylor expansion of z in z 1.282 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.282 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.282 * [taylor]: Taking taylor expansion of x in z 1.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.283 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.283 * [taylor]: Taking taylor expansion of z in z 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.283 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.283 * [taylor]: Taking taylor expansion of y in z 1.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.286 * [taylor]: Taking taylor expansion of x in y 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.286 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.286 * [taylor]: Taking taylor expansion of z in y 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.290 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.290 * [taylor]: Taking taylor expansion of z in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.290 * [taylor]: Taking taylor expansion of y in x 1.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.293 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.293 * [taylor]: Taking taylor expansion of z in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.293 * [taylor]: Taking taylor expansion of y in x 1.295 * [taylor]: Taking taylor expansion of 1 in y 1.295 * [taylor]: Taking taylor expansion of 0 in y 1.295 * [taylor]: Taking taylor expansion of 1 in z 1.297 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.297 * [taylor]: Taking taylor expansion of 1/2 in y 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.297 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.297 * [taylor]: Taking taylor expansion of z in y 1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.298 * [taylor]: Taking taylor expansion of y in y 1.300 * [taylor]: Taking taylor expansion of 0 in z 1.300 * [taylor]: Taking taylor expansion of 0 in z 1.300 * [taylor]: Taking taylor expansion of 0 in z 1.306 * [taylor]: Taking taylor expansion of 0 in y 1.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.308 * [taylor]: Taking taylor expansion of 1/2 in z 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.308 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.308 * [taylor]: Taking taylor expansion of z in z 1.310 * [taylor]: Taking taylor expansion of 0 in z 1.310 * [taylor]: Taking taylor expansion of 0 in z 1.314 * [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 1.314 * [taylor]: Taking taylor expansion of -1/2 in y 1.314 * [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 1.314 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.314 * [taylor]: Taking taylor expansion of 1/4 in y 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.314 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.314 * [taylor]: Taking taylor expansion of z in y 1.314 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.314 * [taylor]: Taking taylor expansion of 1/2 in y 1.314 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.314 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.314 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.314 * [taylor]: Taking taylor expansion of z in y 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.315 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.315 * [taylor]: Taking taylor expansion of 1/4 in y 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.315 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.315 * [taylor]: Taking taylor expansion of y in y 1.325 * [taylor]: Taking taylor expansion of 0 in z 1.325 * [taylor]: Taking taylor expansion of 0 in z 1.327 * [taylor]: Taking taylor expansion of 0 in z 1.327 * [taylor]: Taking taylor expansion of 0 in z 1.327 * [taylor]: Taking taylor expansion of 0 in z 1.330 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.330 * [taylor]: Taking taylor expansion of x in z 1.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.330 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.330 * [taylor]: Taking taylor expansion of z in z 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.331 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.331 * [taylor]: Taking taylor expansion of y in z 1.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.333 * [taylor]: Taking taylor expansion of x in y 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.334 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.334 * [taylor]: Taking taylor expansion of z in y 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.334 * [taylor]: Taking taylor expansion of y in y 1.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.337 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.337 * [taylor]: Taking taylor expansion of z in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.337 * [taylor]: Taking taylor expansion of y in x 1.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.340 * [taylor]: Taking taylor expansion of z in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.340 * [taylor]: Taking taylor expansion of y in x 1.342 * [taylor]: Taking taylor expansion of 1 in y 1.343 * [taylor]: Taking taylor expansion of 0 in y 1.343 * [taylor]: Taking taylor expansion of 1 in z 1.345 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.345 * [taylor]: Taking taylor expansion of 1/2 in y 1.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.345 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.345 * [taylor]: Taking taylor expansion of z in y 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.345 * [taylor]: Taking taylor expansion of y in y 1.348 * [taylor]: Taking taylor expansion of 0 in z 1.348 * [taylor]: Taking taylor expansion of 0 in z 1.348 * [taylor]: Taking taylor expansion of 0 in z 1.350 * [taylor]: Taking taylor expansion of 0 in y 1.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.352 * [taylor]: Taking taylor expansion of 1/2 in z 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.352 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.352 * [taylor]: Taking taylor expansion of z in z 1.354 * [taylor]: Taking taylor expansion of 0 in z 1.354 * [taylor]: Taking taylor expansion of 0 in z 1.357 * [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 1.358 * [taylor]: Taking taylor expansion of -1/2 in y 1.358 * [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 1.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.358 * [taylor]: Taking taylor expansion of 1/4 in y 1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.358 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.358 * [taylor]: Taking taylor expansion of z in y 1.358 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.358 * [taylor]: Taking taylor expansion of 1/2 in y 1.358 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.358 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.358 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.358 * [taylor]: Taking taylor expansion of z in y 1.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.358 * [taylor]: Taking taylor expansion of y in y 1.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.359 * [taylor]: Taking taylor expansion of 1/4 in y 1.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.359 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.359 * [taylor]: Taking taylor expansion of y in y 1.369 * [taylor]: Taking taylor expansion of 0 in z 1.369 * [taylor]: Taking taylor expansion of 0 in z 1.371 * [taylor]: Taking taylor expansion of 0 in z 1.371 * [taylor]: Taking taylor expansion of 0 in z 1.371 * [taylor]: Taking taylor expansion of 0 in z 1.373 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.373 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.373 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.373 * [taylor]: Taking taylor expansion of 1/3 in y 1.373 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.373 * [taylor]: Taking taylor expansion of x in y 1.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.373 * [taylor]: Taking taylor expansion of y in y 1.374 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.374 * [taylor]: Taking taylor expansion of 1/3 in x 1.374 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.374 * [taylor]: Taking taylor expansion of y in x 1.374 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.374 * [taylor]: Taking taylor expansion of 1/3 in x 1.374 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.374 * [taylor]: Taking taylor expansion of y in x 1.375 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.375 * [taylor]: Taking taylor expansion of 1/3 in y 1.375 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.375 * [taylor]: Taking taylor expansion of y in y 1.378 * [taylor]: Taking taylor expansion of 0 in y 1.383 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.383 * [taylor]: Taking taylor expansion of 1/3 in y 1.383 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.383 * [taylor]: Taking taylor expansion of 1/3 in y 1.383 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.383 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.383 * [taylor]: Taking taylor expansion of y in y 1.399 * [taylor]: Taking taylor expansion of 0 in y 1.408 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.408 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.409 * [taylor]: Taking taylor expansion of 1/3 in y 1.409 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.410 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.410 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.410 * [taylor]: Taking taylor expansion of 1/3 in x 1.410 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.411 * [taylor]: Taking taylor expansion of y in x 1.412 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.412 * [taylor]: Taking taylor expansion of 1/3 in x 1.412 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.413 * [taylor]: Taking taylor expansion of y in x 1.414 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.414 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.414 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.414 * [taylor]: Taking taylor expansion of -2/3 in y 1.414 * [taylor]: Taking taylor expansion of (log x) in y 1.414 * [taylor]: Taking taylor expansion of x in y 1.417 * [taylor]: Taking taylor expansion of 0 in y 1.422 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.423 * [taylor]: Taking taylor expansion of 1/3 in y 1.423 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.423 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.423 * [taylor]: Taking taylor expansion of 1/3 in y 1.423 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.423 * [taylor]: Taking taylor expansion of x in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.440 * [taylor]: Taking taylor expansion of 0 in y 1.440 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.440 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.441 * [taylor]: Taking taylor expansion of 1/3 in y 1.441 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.441 * [taylor]: Taking taylor expansion of x in y 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.441 * [taylor]: Taking taylor expansion of y in y 1.442 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.442 * [taylor]: Taking taylor expansion of 1/3 in x 1.442 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.443 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.444 * [taylor]: Taking taylor expansion of 1/3 in x 1.444 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.445 * [taylor]: Taking taylor expansion of y in x 1.446 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.446 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.446 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.446 * [taylor]: Taking taylor expansion of -2/3 in y 1.446 * [taylor]: Taking taylor expansion of (log x) in y 1.446 * [taylor]: Taking taylor expansion of x in y 1.449 * [taylor]: Taking taylor expansion of 0 in y 1.454 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.454 * [taylor]: Taking taylor expansion of 1/3 in y 1.454 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.454 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.454 * [taylor]: Taking taylor expansion of 1/3 in y 1.454 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.454 * [taylor]: Taking taylor expansion of x in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.455 * [taylor]: Taking taylor expansion of y in y 1.472 * [taylor]: Taking taylor expansion of 0 in y 1.472 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.472 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.472 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.472 * [taylor]: Taking taylor expansion of 1/3 in y 1.472 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.472 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.472 * [taylor]: Taking taylor expansion of x in y 1.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.473 * [taylor]: Taking taylor expansion of y in y 1.473 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.473 * [taylor]: Taking taylor expansion of 1/3 in x 1.473 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.473 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.473 * [taylor]: Taking taylor expansion of y in x 1.473 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.473 * [taylor]: Taking taylor expansion of 1/3 in x 1.473 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.473 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.473 * [taylor]: Taking taylor expansion of y in x 1.474 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.474 * [taylor]: Taking taylor expansion of 1/3 in y 1.474 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.474 * [taylor]: Taking taylor expansion of y in y 1.477 * [taylor]: Taking taylor expansion of 0 in y 1.482 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.482 * [taylor]: Taking taylor expansion of 1/3 in y 1.482 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.482 * [taylor]: Taking taylor expansion of 1/3 in y 1.482 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.482 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.482 * [taylor]: Taking taylor expansion of y in y 1.498 * [taylor]: Taking taylor expansion of 0 in y 1.507 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.507 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.507 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.507 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.507 * [taylor]: Taking taylor expansion of 1/3 in y 1.507 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.507 * [taylor]: Taking taylor expansion of x in y 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.507 * [taylor]: Taking taylor expansion of y in y 1.509 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.509 * [taylor]: Taking taylor expansion of 1/3 in x 1.509 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.509 * [taylor]: Taking taylor expansion of y in x 1.510 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.511 * [taylor]: Taking taylor expansion of 1/3 in x 1.511 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.511 * [taylor]: Taking taylor expansion of y in x 1.512 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.512 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.512 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.512 * [taylor]: Taking taylor expansion of -2/3 in y 1.512 * [taylor]: Taking taylor expansion of (log x) in y 1.512 * [taylor]: Taking taylor expansion of x in y 1.515 * [taylor]: Taking taylor expansion of 0 in y 1.520 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.521 * [taylor]: Taking taylor expansion of 1/3 in y 1.521 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.521 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.521 * [taylor]: Taking taylor expansion of 1/3 in y 1.521 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.521 * [taylor]: Taking taylor expansion of x in y 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.521 * [taylor]: Taking taylor expansion of y in y 1.538 * [taylor]: Taking taylor expansion of 0 in y 1.538 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.538 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.538 * [taylor]: Taking taylor expansion of 1/3 in y 1.538 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.538 * [taylor]: Taking taylor expansion of x in y 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.540 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.540 * [taylor]: Taking taylor expansion of 1/3 in x 1.540 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.541 * [taylor]: Taking taylor expansion of y in x 1.542 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.542 * [taylor]: Taking taylor expansion of 1/3 in x 1.542 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.542 * [taylor]: Taking taylor expansion of y in x 1.543 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.543 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.543 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.543 * [taylor]: Taking taylor expansion of -2/3 in y 1.543 * [taylor]: Taking taylor expansion of (log x) in y 1.544 * [taylor]: Taking taylor expansion of x in y 1.547 * [taylor]: Taking taylor expansion of 0 in y 1.551 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.551 * [taylor]: Taking taylor expansion of 1/3 in y 1.551 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.552 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.552 * [taylor]: Taking taylor expansion of 1/3 in y 1.552 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.552 * [taylor]: Taking taylor expansion of x in y 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.569 * [taylor]: Taking taylor expansion of 0 in y 1.569 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.570 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.570 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.570 * [taylor]: Taking taylor expansion of 1/3 in y 1.570 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.570 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.570 * [taylor]: Taking taylor expansion of x in y 1.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.570 * [taylor]: Taking taylor expansion of y in y 1.570 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.570 * [taylor]: Taking taylor expansion of 1/3 in x 1.570 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.570 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.570 * [taylor]: Taking taylor expansion of y in x 1.571 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.571 * [taylor]: Taking taylor expansion of 1/3 in x 1.571 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.571 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.571 * [taylor]: Taking taylor expansion of x in x 1.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.571 * [taylor]: Taking taylor expansion of y in x 1.571 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.571 * [taylor]: Taking taylor expansion of 1/3 in y 1.571 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.571 * [taylor]: Taking taylor expansion of y in y 1.574 * [taylor]: Taking taylor expansion of 0 in y 1.579 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.579 * [taylor]: Taking taylor expansion of 1/3 in y 1.579 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.579 * [taylor]: Taking taylor expansion of 1/3 in y 1.579 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.579 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.579 * [taylor]: Taking taylor expansion of y in y 1.595 * [taylor]: Taking taylor expansion of 0 in y 1.605 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.605 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.605 * [taylor]: Taking taylor expansion of 1/3 in y 1.605 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.605 * [taylor]: Taking taylor expansion of x in y 1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.605 * [taylor]: Taking taylor expansion of y in y 1.607 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.607 * [taylor]: Taking taylor expansion of 1/3 in x 1.607 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.607 * [taylor]: Taking taylor expansion of y in x 1.608 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.608 * [taylor]: Taking taylor expansion of 1/3 in x 1.608 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.609 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.610 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.610 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.610 * [taylor]: Taking taylor expansion of -2/3 in y 1.610 * [taylor]: Taking taylor expansion of (log x) in y 1.610 * [taylor]: Taking taylor expansion of x in y 1.613 * [taylor]: Taking taylor expansion of 0 in y 1.619 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.619 * [taylor]: Taking taylor expansion of 1/3 in y 1.619 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.619 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.619 * [taylor]: Taking taylor expansion of 1/3 in y 1.619 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.619 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.636 * [taylor]: Taking taylor expansion of 0 in y 1.637 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.637 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.637 * [taylor]: Taking taylor expansion of 1/3 in y 1.637 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.637 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.637 * [taylor]: Taking taylor expansion of x in y 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.637 * [taylor]: Taking taylor expansion of y in y 1.638 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.639 * [taylor]: Taking taylor expansion of 1/3 in x 1.639 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.639 * [taylor]: Taking taylor expansion of y in x 1.640 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.640 * [taylor]: Taking taylor expansion of 1/3 in x 1.640 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.641 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.641 * [taylor]: Taking taylor expansion of y in x 1.642 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.642 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.642 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.642 * [taylor]: Taking taylor expansion of -2/3 in y 1.642 * [taylor]: Taking taylor expansion of (log x) in y 1.642 * [taylor]: Taking taylor expansion of x in y 1.645 * [taylor]: Taking taylor expansion of 0 in y 1.650 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.650 * [taylor]: Taking taylor expansion of 1/3 in y 1.650 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.650 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.650 * [taylor]: Taking taylor expansion of 1/3 in y 1.650 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.650 * [taylor]: Taking taylor expansion of x in y 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.651 * [taylor]: Taking taylor expansion of y in y 1.668 * [taylor]: Taking taylor expansion of 0 in y 1.668 * * * [progress]: simplifying candidates 1.669 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (log1p (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (log (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (exp (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (* (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (* (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (sqrt (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt 1) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (sqrt (+ (pow (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) 3) (pow (* z z) 3))) (sqrt (+ (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (- (* (* z z) (* z z)) (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (sqrt (- (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (* (* z z) (* z z)))) (sqrt (- (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (/ 1 2) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (expm1 (cbrt (+ (* x x) (* y y)))) (log1p (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (expm1 (cbrt (+ (* x x) (* y y)))) (log1p (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (expm1 (cbrt (+ (* x x) (* y y)))) (log1p (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) z x (* -1 x) (+ (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) (+ (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) (+ (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) 1.682 * * [simplify]: iteration 0 : 217 enodes (cost 804 ) 1.687 * * [simplify]: iteration 1 : 707 enodes (cost 748 ) 1.701 * * [simplify]: iteration 2 : 2443 enodes (cost 726 ) 1.749 * * [simplify]: iteration 3 : 5002 enodes (cost 716 ) 1.752 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (log1p (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (log (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (exp (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) 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y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (fma x x (* y y)) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (expm1 (cbrt (+ (* x x) (* y y)))) (log1p (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (fma x x (* y y)) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) z x (* -1 x) (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) (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) (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) 1.753 * * * [progress]: adding candidates to table 2.020 * [progress]: [Phase 3 of 3] Extracting. 2.020 * * [regime]: Finding splitpoints for: (# #) 2.021 * * * [regime-changes]: Trying 7 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) z y x) 2.021 * * * * [regimes]: Trying to branch on (* z z) from (# #) 2.034 * * * * [regimes]: Trying to branch on (* y y) from (# #) 2.046 * * * * [regimes]: Trying to branch on (* x x) from (# #) 2.062 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 2.075 * * * * [regimes]: Trying to branch on z from (# #) 2.089 * * * * [regimes]: Trying to branch on y from (# #) 2.105 * * * * [regimes]: Trying to branch on x from (# #) 2.119 * * * [regime]: Found split indices: #