44.138 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.038 * * [simplify]: iteration 0 : 13 enodes (cost 6 ) 0.040 * * [simplify]: iteration 1 : 20 enodes (cost 6 ) 0.042 * * [simplify]: iteration 2 : 22 enodes (cost 6 ) 0.043 * * [simplify]: iteration 3 : 22 enodes (cost 6 ) 0.044 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.070 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.077 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.078 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.078 * [taylor]: Taking taylor expansion of x in z 0.078 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.078 * [taylor]: Taking taylor expansion of y in z 0.078 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.078 * [taylor]: Taking taylor expansion of z in z 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.080 * [taylor]: Taking taylor expansion of z in y 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.082 * [taylor]: Taking taylor expansion of z in x 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.084 * [taylor]: Taking taylor expansion of z in x 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.085 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.085 * [taylor]: Taking taylor expansion of z in y 0.086 * [taylor]: Taking taylor expansion of z in z 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in z 0.086 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.088 * [taylor]: Taking taylor expansion of 1/2 in y 0.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.088 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.088 * [taylor]: Taking taylor expansion of z in y 0.089 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.089 * [taylor]: Taking taylor expansion of 1/2 in z 0.089 * [taylor]: Taking taylor expansion of z in z 0.089 * [taylor]: Taking taylor expansion of 0 in z 0.091 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.091 * [taylor]: Taking taylor expansion of 1/2 in z 0.091 * [taylor]: Taking taylor expansion of z in z 0.092 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.092 * [taylor]: Taking taylor expansion of x in z 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.092 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.092 * [taylor]: Taking taylor expansion of z in z 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.093 * [taylor]: Taking taylor expansion of y in z 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.096 * [taylor]: Taking taylor expansion of z in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.099 * [taylor]: Taking taylor expansion of z in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.102 * [taylor]: Taking taylor expansion of z in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 1 in z 0.107 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.107 * [taylor]: Taking taylor expansion of 1/2 in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.107 * [taylor]: Taking taylor expansion of z in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of 0 in z 0.109 * [taylor]: Taking taylor expansion of 0 in z 0.109 * [taylor]: Taking taylor expansion of 0 in z 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.113 * [taylor]: Taking taylor expansion of 1/2 in z 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.113 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.114 * [taylor]: Taking taylor expansion of z in z 0.118 * [taylor]: Taking taylor expansion of 0 in z 0.118 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [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 0.122 * [taylor]: Taking taylor expansion of -1/2 in y 0.122 * [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 0.122 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.122 * [taylor]: Taking taylor expansion of 1/4 in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.122 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.122 * [taylor]: Taking taylor expansion of z in y 0.122 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.122 * [taylor]: Taking taylor expansion of 1/2 in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.122 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.122 * [taylor]: Taking taylor expansion of z in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.123 * [taylor]: Taking taylor expansion of 1/4 in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.123 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of 0 in z 0.134 * [taylor]: Taking taylor expansion of 0 in z 0.136 * [taylor]: Taking taylor expansion of 0 in z 0.136 * [taylor]: Taking taylor expansion of 0 in z 0.136 * [taylor]: Taking taylor expansion of 0 in z 0.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.138 * [taylor]: Taking taylor expansion of x in z 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.138 * [taylor]: Taking taylor expansion of z in z 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.139 * [taylor]: Taking taylor expansion of y in z 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.142 * [taylor]: Taking taylor expansion of z in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.146 * [taylor]: Taking taylor expansion of z in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.148 * [taylor]: Taking taylor expansion of z in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of 1 in y 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [taylor]: Taking taylor expansion of 1 in z 0.153 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.153 * [taylor]: Taking taylor expansion of 1/2 in y 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.153 * [taylor]: Taking taylor expansion of z in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of 0 in z 0.156 * [taylor]: Taking taylor expansion of 0 in z 0.156 * [taylor]: Taking taylor expansion of 0 in z 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.160 * [taylor]: Taking taylor expansion of 1/2 in z 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.160 * [taylor]: Taking taylor expansion of z in z 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.162 * [taylor]: Taking taylor expansion of 0 in z 0.165 * [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 0.165 * [taylor]: Taking taylor expansion of -1/2 in y 0.165 * [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 0.165 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.165 * [taylor]: Taking taylor expansion of 1/4 in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.165 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.165 * [taylor]: Taking taylor expansion of z in y 0.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.166 * [taylor]: Taking taylor expansion of 1/2 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.166 * [taylor]: Taking taylor expansion of z in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.166 * [taylor]: Taking taylor expansion of 1/4 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.181 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.181 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.186 * [taylor]: Taking taylor expansion of x 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 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.198 * [taylor]: Taking taylor expansion of x 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 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of 1 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.211 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying using # : (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.215 * * [simplify]: iteration 0 : 173 enodes (cost 212 ) 0.219 * * [simplify]: iteration 1 : 707 enodes (cost 203 ) 0.228 * * [simplify]: iteration 2 : 1993 enodes (cost 203 ) 0.268 * * [simplify]: iteration 3 : 5001 enodes (cost 202 ) 0.269 * [simplify]: Simplified to: (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))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (+ (* x x) (* 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 (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* 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)) 0.269 * * * [progress]: adding candidates to table 0.333 * * [progress]: iteration 2 / 4 0.333 * * * [progress]: picking best candidate 0.336 * * * * [pick]: Picked # 0.336 * * * [progress]: localizing error 0.337 * * * [progress]: generating rewritten candidates 0.337 * * * [progress]: generating series expansions 0.337 * * * [progress]: simplifying candidates 0.337 * [simplify]: Simplifying using # : 0.339 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.339 * [simplify]: Simplified to: 0.339 * * * [progress]: adding candidates to table 0.340 * * [progress]: iteration 3 / 4 0.340 * * * [progress]: picking best candidate 0.341 * * * * [pick]: Picked # 0.341 * * * [progress]: localizing error 0.343 * * * [progress]: generating rewritten candidates 0.343 * * * [progress]: generating series expansions 0.343 * * * [progress]: simplifying candidates 0.344 * [simplify]: Simplifying using # : 0.346 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.346 * [simplify]: Simplified to: 0.346 * * * [progress]: adding candidates to table 0.346 * * [progress]: iteration 4 / 4 0.346 * * * [progress]: picking best candidate 0.347 * * * * [pick]: Picked # 0.347 * * * [progress]: localizing error 0.347 * * * [progress]: generating rewritten candidates 0.347 * * * [progress]: generating series expansions 0.347 * * * [progress]: simplifying candidates 0.348 * [simplify]: Simplifying using # : 0.350 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.350 * [simplify]: Simplified to: 0.350 * * * [progress]: adding candidates to table 0.350 * [progress]: [Phase 3 of 3] Extracting. 0.350 * * [regime]: Finding splitpoints for: (# # # #) 0.350 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x) 0.350 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 0.369 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.384 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 0.403 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.426 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.447 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 0.466 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.481 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # #) 0.500 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # #) 0.520 * * * * [regimes]: Trying to branch on z from (# # # #) 0.541 * * * * [regimes]: Trying to branch on y from (# # # #) 0.555 * * * * [regimes]: Trying to branch on x from (# # # #) 0.581 * * * [regime]: Found split indices: #