21.915 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.019 * * [simplify]: iteration 0 : 9 enodes (cost 12 ) 0.021 * * [simplify]: iteration 1 : 14 enodes (cost 11 ) 0.023 * * [simplify]: iteration 2 : 24 enodes (cost 10 ) 0.026 * * [simplify]: iteration 3 : 30 enodes (cost 10 ) 0.029 * * [simplify]: iteration done : 30 enodes (cost 10 ) 0.029 * [simplify]: Simplified to: (sqrt (fma z z (fma x x (* y y)))) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.060 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.075 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.082 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.082 * [taylor]: Taking taylor expansion of x in z 0.082 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.082 * [taylor]: Taking taylor expansion of y in z 0.082 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.082 * [taylor]: Taking taylor expansion of z in z 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [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 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.086 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.086 * [taylor]: Taking taylor expansion of z in x 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.087 * [taylor]: Taking taylor expansion of z in x 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.089 * [taylor]: Taking taylor expansion of z in y 0.089 * [taylor]: Taking taylor expansion of z in z 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in z 0.089 * [taylor]: Taking taylor expansion of 0 in z 0.092 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.092 * [taylor]: Taking taylor expansion of 1/2 in y 0.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.092 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 0.092 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.092 * [taylor]: Taking taylor expansion of z in y 0.093 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.093 * [taylor]: Taking taylor expansion of 1/2 in z 0.093 * [taylor]: Taking taylor expansion of z in z 0.094 * [taylor]: Taking taylor expansion of 0 in z 0.095 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.095 * [taylor]: Taking taylor expansion of 1/2 in z 0.095 * [taylor]: Taking taylor expansion of z in z 0.097 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.097 * [taylor]: Taking taylor expansion of x in z 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.097 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.097 * [taylor]: Taking taylor expansion of z in z 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.097 * [taylor]: Taking taylor expansion of y in z 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.100 * [taylor]: Taking taylor expansion of z in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.104 * [taylor]: Taking taylor expansion of z in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.107 * [taylor]: Taking taylor expansion of z in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of 1 in z 0.112 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.112 * [taylor]: Taking taylor expansion of 1/2 in y 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.112 * [taylor]: Taking taylor expansion of z in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in z 0.115 * [taylor]: Taking taylor expansion of 0 in z 0.115 * [taylor]: Taking taylor expansion of 0 in z 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.120 * [taylor]: Taking taylor expansion of 1/2 in z 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.120 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.120 * [taylor]: Taking taylor expansion of z in z 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.126 * [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 0.126 * [taylor]: Taking taylor expansion of -1/2 in y 0.126 * [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 0.126 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.126 * [taylor]: Taking taylor expansion of 1/4 in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.126 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.126 * [taylor]: Taking taylor expansion of z in y 0.127 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.127 * [taylor]: Taking taylor expansion of 1/2 in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.127 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.127 * [taylor]: Taking taylor expansion of z in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.127 * [taylor]: Taking taylor expansion of 1/4 in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of 0 in z 0.139 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.143 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.143 * [taylor]: Taking taylor expansion of x in z 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.144 * [taylor]: Taking taylor expansion of z in z 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.144 * [taylor]: Taking taylor expansion of y in z 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.147 * [taylor]: Taking taylor expansion of z in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.151 * [taylor]: Taking taylor expansion of z in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.154 * [taylor]: Taking taylor expansion of z in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of 1 in y 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of 1 in z 0.159 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.159 * [taylor]: Taking taylor expansion of 1/2 in y 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.159 * [taylor]: Taking taylor expansion of z in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.162 * [taylor]: Taking taylor expansion of 0 in z 0.162 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.166 * [taylor]: Taking taylor expansion of 1/2 in z 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.166 * [taylor]: Taking taylor expansion of z in z 0.168 * [taylor]: Taking taylor expansion of 0 in z 0.168 * [taylor]: Taking taylor expansion of 0 in z 0.172 * [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 0.173 * [taylor]: Taking taylor expansion of -1/2 in y 0.173 * [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 0.173 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.173 * [taylor]: Taking taylor expansion of 1/4 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.173 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.173 * [taylor]: Taking taylor expansion of z in y 0.173 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.173 * [taylor]: Taking taylor expansion of 1/2 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.173 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.173 * [taylor]: Taking taylor expansion of z in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.174 * [taylor]: Taking taylor expansion of 1/4 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.174 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 0 in z 0.189 * [taylor]: Taking taylor expansion of 0 in z 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.193 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.194 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.194 * [taylor]: Taking taylor expansion of x in z 0.194 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.194 * [taylor]: Taking taylor expansion of y in z 0.194 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.194 * [taylor]: Taking taylor expansion of z in z 0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 (pow z 2) in y 0.194 * [taylor]: Taking taylor expansion of z in y 0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 0.194 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.194 * [taylor]: Taking taylor expansion of z in x 0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 0.194 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.194 * [taylor]: Taking taylor expansion of z in x 0.195 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.195 * [taylor]: Taking taylor expansion of z in y 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.195 * [taylor]: Taking taylor expansion of z in z 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [taylor]: Taking taylor expansion of 1 in y 0.198 * [taylor]: Taking taylor expansion of 1 in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [taylor]: Taking taylor expansion of 1 in z 0.200 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.200 * [taylor]: Taking taylor expansion of x in z 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.200 * [taylor]: Taking taylor expansion of z in z 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.201 * [taylor]: Taking taylor expansion of y in z 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.201 * [taylor]: Taking taylor expansion of z in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.203 * [taylor]: Taking taylor expansion of z in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.204 * [taylor]: Taking taylor expansion of z in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.207 * [taylor]: Taking taylor expansion of z in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of 1 in z 0.208 * [taylor]: Taking taylor expansion of 1 in z 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in z 0.211 * [taylor]: Taking taylor expansion of 0 in z 0.211 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.215 * [taylor]: Taking taylor expansion of z in z 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.217 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.217 * [taylor]: Taking taylor expansion of x in z 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.217 * [taylor]: Taking taylor expansion of z in z 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.218 * [taylor]: Taking taylor expansion of y in z 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.218 * [taylor]: Taking taylor expansion of z in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.220 * [taylor]: Taking taylor expansion of z in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.220 * [taylor]: Taking taylor expansion of z in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of 1 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.224 * [taylor]: Taking taylor expansion of z in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 1 in z 0.225 * [taylor]: Taking taylor expansion of 1 in z 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.232 * [taylor]: Taking taylor expansion of z in z 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.234 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.234 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 1 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of 1 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of 1 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.263 * * * [progress]: simplifying candidates 0.264 * [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)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) (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 z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.267 * * [simplify]: iteration 0 : 80 enodes (cost 808 ) 0.289 * * [simplify]: iteration 1 : 224 enodes (cost 673 ) 0.347 * * [simplify]: iteration 2 : 840 enodes (cost 586 ) 0.807 * * [simplify]: iteration 3 : 3535 enodes (cost 574 ) 1.847 * * [simplify]: iteration done : 5000 enodes (cost 574 ) 1.847 * [simplify]: Simplified to: (expm1 (sqrt (fma z z (fma x x (* y y))))) (log1p (sqrt (fma z z (fma x x (* y y))))) (log (sqrt (fma z z (fma x x (* y y))))) (exp (sqrt (fma z z (fma x x (* y y))))) (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y)))))) (cbrt (sqrt (fma z z (fma x x (* y y))))) (pow (sqrt (fma z z (fma x x (* y y)))) 3) (fabs (cbrt (fma z z (fma x x (* y y))))) (sqrt (cbrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) 1 (sqrt (fma z z (fma x x (* y y)))) (hypot (pow (fma x x (* y y)) 3/2) (pow z 3)) (sqrt (- (pow z 4) (* (fma x x (* y y)) (- (* z z) (fma x x (* y y)))))) (sqrt (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4))) (sqrt (- (fma x x (* y y)) (* z z))) 1/2 (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))) (expm1 (fma z z (fma x x (* y y)))) (log1p (fma z z (fma x x (* y y)))) (exp (fma z z (fma x x (* y y)))) (exp (fma z z (fma x x (* y y)))) (log (fma z z (fma x x (* y y)))) (exp (fma z z (fma x x (* y y)))) (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y))))) (cbrt (fma z z (fma x x (* y y)))) (pow (fma z z (fma x x (* y y))) 3) (sqrt (fma z z (fma x x (* y y)))) (sqrt (fma z z (fma x x (* y y)))) (+ (pow (fma x x (* y y)) 3) (pow z 6)) (- (pow z 4) (* (fma x x (* y y)) (- (* z z) (fma x x (* y y))))) (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4)) (- (fma x x (* y y)) (* z z)) (fma y y (pow z 2)) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (exp (fma x x (* y y))) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (+ (pow x 6) (pow y 6)) (fma (* y y) (- (* y y) (* x x)) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) z x (- x) (fma z z (fma x x (* y y))) (fma z z (fma x x (* y y))) (fma z z (fma x x (* y y))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 1.848 * * * [progress]: adding candidates to table 2.029 * * [progress]: iteration 2 / 4 2.029 * * * [progress]: picking best candidate 2.035 * * * * [pick]: Picked # 2.035 * * * [progress]: localizing error 2.043 * * * [progress]: generating rewritten candidates 2.043 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 2.047 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 2.047 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 2.051 * * * [progress]: generating series expansions 2.052 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 2.052 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.053 * [taylor]: Taking taylor expansion of x in y 2.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.053 * [taylor]: Taking taylor expansion of y in y 2.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.054 * [taylor]: Taking taylor expansion of y in x 2.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.054 * [taylor]: Taking taylor expansion of y in x 2.055 * [taylor]: Taking taylor expansion of y in y 2.055 * [taylor]: Taking taylor expansion of 0 in y 2.056 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.056 * [taylor]: Taking taylor expansion of 1/2 in y 2.056 * [taylor]: Taking taylor expansion of y in y 2.058 * [taylor]: Taking taylor expansion of 0 in y 2.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.059 * [taylor]: Taking taylor expansion of x in y 2.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.060 * [taylor]: Taking taylor expansion of y in y 2.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.063 * [taylor]: Taking taylor expansion of y in x 2.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.066 * [taylor]: Taking taylor expansion of y in x 2.068 * [taylor]: Taking taylor expansion of 1 in y 2.068 * [taylor]: Taking taylor expansion of 0 in y 2.070 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.070 * [taylor]: Taking taylor expansion of 1/2 in y 2.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.070 * [taylor]: Taking taylor expansion of y in y 2.074 * [taylor]: Taking taylor expansion of 0 in y 2.075 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.075 * [taylor]: Taking taylor expansion of x in y 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.075 * [taylor]: Taking taylor expansion of y in y 2.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.079 * [taylor]: Taking taylor expansion of y in x 2.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.082 * [taylor]: Taking taylor expansion of y in x 2.088 * [taylor]: Taking taylor expansion of 1 in y 2.088 * [taylor]: Taking taylor expansion of 0 in y 2.091 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.091 * [taylor]: Taking taylor expansion of 1/2 in y 2.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.091 * [taylor]: Taking taylor expansion of y in y 2.094 * [taylor]: Taking taylor expansion of 0 in y 2.096 * * * * [progress]: [ 2 / 3 ] generating series at (2) 2.096 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 2.096 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 2.096 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.096 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 2.096 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 2.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 2.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 2.096 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.096 * [taylor]: Taking taylor expansion of x in z 2.096 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.096 * [taylor]: Taking taylor expansion of y in z 2.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 2.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 2.097 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.097 * [taylor]: Taking taylor expansion of x in z 2.097 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.097 * [taylor]: Taking taylor expansion of y in z 2.098 * [taylor]: Taking taylor expansion of (* z z) in z 2.098 * [taylor]: Taking taylor expansion of z in z 2.098 * [taylor]: Taking taylor expansion of z in z 2.100 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 2.101 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.101 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 2.101 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 2.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.101 * [taylor]: Taking taylor expansion of x in y 2.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.101 * [taylor]: Taking taylor expansion of y in y 2.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.102 * [taylor]: Taking taylor expansion of x in y 2.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.102 * [taylor]: Taking taylor expansion of y in y 2.102 * [taylor]: Taking taylor expansion of (* z z) in y 2.103 * [taylor]: Taking taylor expansion of z in y 2.103 * [taylor]: Taking taylor expansion of z in y 2.103 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 2.104 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.104 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 2.104 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 2.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.104 * [taylor]: Taking taylor expansion of y in x 2.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.104 * [taylor]: Taking taylor expansion of y in x 2.105 * [taylor]: Taking taylor expansion of (* z z) in x 2.105 * [taylor]: Taking taylor expansion of z in x 2.105 * [taylor]: Taking taylor expansion of z in x 2.106 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 2.106 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.106 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 2.106 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 2.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.106 * [taylor]: Taking taylor expansion of x in x 2.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.106 * [taylor]: Taking taylor expansion of y in x 2.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.107 * [taylor]: Taking taylor expansion of y in x 2.107 * [taylor]: Taking taylor expansion of (* z z) in x 2.107 * [taylor]: Taking taylor expansion of z in x 2.107 * [taylor]: Taking taylor expansion of z in x 2.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.108 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.108 * [taylor]: Taking taylor expansion of y in y 2.108 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.108 * [taylor]: Taking taylor expansion of z in y 2.109 * [taylor]: Taking taylor expansion of z in z 2.109 * [taylor]: Taking taylor expansion of 0 in y 2.109 * [taylor]: Taking taylor expansion of 0 in z 2.109 * [taylor]: Taking taylor expansion of 0 in z 2.113 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 2.114 * [taylor]: Taking taylor expansion of 1/2 in y 2.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.114 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.114 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.114 * [taylor]: Taking taylor expansion of y in y 2.114 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.114 * [taylor]: Taking taylor expansion of z in y 2.115 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.115 * [taylor]: Taking taylor expansion of 1/2 in z 2.115 * [taylor]: Taking taylor expansion of z in z 2.116 * [taylor]: Taking taylor expansion of 0 in z 2.117 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.117 * [taylor]: Taking taylor expansion of 1/2 in z 2.117 * [taylor]: Taking taylor expansion of z in z 2.118 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 2.119 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 2.119 * [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)))) 2.119 * [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 2.119 * [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 2.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.119 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.119 * [taylor]: Taking taylor expansion of x in z 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.119 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.119 * [taylor]: Taking taylor expansion of y in z 2.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.120 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.120 * [taylor]: Taking taylor expansion of x in z 2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.121 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.121 * [taylor]: Taking taylor expansion of y in z 2.122 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 2.122 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.122 * [taylor]: Taking taylor expansion of z in z 2.122 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.122 * [taylor]: Taking taylor expansion of z in z 2.125 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 2.126 * [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)))) 2.126 * [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 2.126 * [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 2.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.126 * [taylor]: Taking taylor expansion of x in y 2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.126 * [taylor]: Taking taylor expansion of y in y 2.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.129 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.129 * [taylor]: Taking taylor expansion of x in y 2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.129 * [taylor]: Taking taylor expansion of y in y 2.132 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 2.132 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.132 * [taylor]: Taking taylor expansion of z in y 2.132 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.132 * [taylor]: Taking taylor expansion of z in y 2.134 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 2.134 * [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)))) 2.134 * [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 2.134 * [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 2.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.135 * [taylor]: Taking taylor expansion of y in x 2.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.137 * [taylor]: Taking taylor expansion of y in x 2.140 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.140 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.140 * [taylor]: Taking taylor expansion of z in x 2.140 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.140 * [taylor]: Taking taylor expansion of z in x 2.142 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 2.142 * [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)))) 2.142 * [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 2.142 * [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 2.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.142 * [taylor]: Taking taylor expansion of x in x 2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.143 * [taylor]: Taking taylor expansion of y in x 2.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.146 * [taylor]: Taking taylor expansion of y in x 2.148 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.148 * [taylor]: Taking taylor expansion of z in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.148 * [taylor]: Taking taylor expansion of z in x 2.151 * [taylor]: Taking taylor expansion of 1 in y 2.151 * [taylor]: Taking taylor expansion of 0 in y 2.151 * [taylor]: Taking taylor expansion of 1 in z 2.157 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.157 * [taylor]: Taking taylor expansion of 1/2 in y 2.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.157 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.157 * [taylor]: Taking taylor expansion of z in y 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.157 * [taylor]: Taking taylor expansion of y in y 2.160 * [taylor]: Taking taylor expansion of 0 in z 2.160 * [taylor]: Taking taylor expansion of 0 in z 2.160 * [taylor]: Taking taylor expansion of 0 in z 2.166 * [taylor]: Taking taylor expansion of 0 in y 2.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.168 * [taylor]: Taking taylor expansion of 1/2 in z 2.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.168 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.168 * [taylor]: Taking taylor expansion of z in z 2.169 * [taylor]: Taking taylor expansion of 0 in z 2.170 * [taylor]: Taking taylor expansion of 0 in z 2.178 * [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 2.178 * [taylor]: Taking taylor expansion of -1/2 in y 2.178 * [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 2.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.178 * [taylor]: Taking taylor expansion of 1/4 in y 2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.178 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.179 * [taylor]: Taking taylor expansion of z in y 2.179 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.179 * [taylor]: Taking taylor expansion of 1/2 in y 2.179 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.179 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.179 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.179 * [taylor]: Taking taylor expansion of z in y 2.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.179 * [taylor]: Taking taylor expansion of y in y 2.179 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.179 * [taylor]: Taking taylor expansion of 1/4 in y 2.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.179 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.179 * [taylor]: Taking taylor expansion of y in y 2.195 * [taylor]: Taking taylor expansion of 0 in z 2.195 * [taylor]: Taking taylor expansion of 0 in z 2.198 * [taylor]: Taking taylor expansion of 0 in z 2.198 * [taylor]: Taking taylor expansion of 0 in z 2.198 * [taylor]: Taking taylor expansion of 0 in z 2.200 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 2.200 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 2.200 * [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)))) 2.200 * [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 2.201 * [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 2.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.201 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.201 * [taylor]: Taking taylor expansion of x in z 2.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.201 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.201 * [taylor]: Taking taylor expansion of y in z 2.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.202 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.202 * [taylor]: Taking taylor expansion of x in z 2.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.202 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.202 * [taylor]: Taking taylor expansion of y in z 2.204 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.204 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.204 * [taylor]: Taking taylor expansion of -1 in z 2.204 * [taylor]: Taking taylor expansion of z in z 2.204 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.204 * [taylor]: Taking taylor expansion of -1 in z 2.204 * [taylor]: Taking taylor expansion of z in z 2.208 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 2.208 * [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)))) 2.208 * [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 2.208 * [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 2.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.208 * [taylor]: Taking taylor expansion of x in y 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.208 * [taylor]: Taking taylor expansion of y in y 2.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.211 * [taylor]: Taking taylor expansion of x in y 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.211 * [taylor]: Taking taylor expansion of y in y 2.214 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.214 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.214 * [taylor]: Taking taylor expansion of -1 in y 2.214 * [taylor]: Taking taylor expansion of z in y 2.214 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.214 * [taylor]: Taking taylor expansion of -1 in y 2.214 * [taylor]: Taking taylor expansion of z in y 2.216 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 2.216 * [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)))) 2.216 * [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 2.216 * [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 2.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.216 * [taylor]: Taking taylor expansion of x in x 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.217 * [taylor]: Taking taylor expansion of y in x 2.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.220 * [taylor]: Taking taylor expansion of y in x 2.222 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.222 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.222 * [taylor]: Taking taylor expansion of -1 in x 2.222 * [taylor]: Taking taylor expansion of z in x 2.222 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.222 * [taylor]: Taking taylor expansion of -1 in x 2.222 * [taylor]: Taking taylor expansion of z in x 2.224 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 2.224 * [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)))) 2.224 * [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 2.224 * [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 2.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.225 * [taylor]: Taking taylor expansion of y in x 2.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.227 * [taylor]: Taking taylor expansion of x in x 2.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.228 * [taylor]: Taking taylor expansion of y in x 2.230 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.230 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.230 * [taylor]: Taking taylor expansion of -1 in x 2.230 * [taylor]: Taking taylor expansion of z in x 2.230 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.230 * [taylor]: Taking taylor expansion of -1 in x 2.230 * [taylor]: Taking taylor expansion of z in x 2.232 * [taylor]: Taking taylor expansion of 1 in y 2.232 * [taylor]: Taking taylor expansion of 0 in y 2.232 * [taylor]: Taking taylor expansion of 1 in z 2.238 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.238 * [taylor]: Taking taylor expansion of 1/2 in y 2.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.239 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.239 * [taylor]: Taking taylor expansion of z in y 2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.239 * [taylor]: Taking taylor expansion of y in y 2.241 * [taylor]: Taking taylor expansion of 0 in z 2.241 * [taylor]: Taking taylor expansion of 0 in z 2.241 * [taylor]: Taking taylor expansion of 0 in z 2.248 * [taylor]: Taking taylor expansion of 0 in y 2.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.250 * [taylor]: Taking taylor expansion of 1/2 in z 2.250 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.250 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.250 * [taylor]: Taking taylor expansion of z in z 2.252 * [taylor]: Taking taylor expansion of 0 in z 2.252 * [taylor]: Taking taylor expansion of 0 in z 2.261 * [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 2.261 * [taylor]: Taking taylor expansion of -1/2 in y 2.261 * [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 2.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.261 * [taylor]: Taking taylor expansion of 1/4 in y 2.261 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.261 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.261 * [taylor]: Taking taylor expansion of z in y 2.261 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.261 * [taylor]: Taking taylor expansion of 1/2 in y 2.261 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.261 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.261 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.261 * [taylor]: Taking taylor expansion of z in y 2.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.261 * [taylor]: Taking taylor expansion of y in y 2.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.262 * [taylor]: Taking taylor expansion of 1/4 in y 2.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.262 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.262 * [taylor]: Taking taylor expansion of y in y 2.273 * [taylor]: Taking taylor expansion of 0 in z 2.274 * [taylor]: Taking taylor expansion of 0 in z 2.276 * [taylor]: Taking taylor expansion of 0 in z 2.276 * [taylor]: Taking taylor expansion of 0 in z 2.276 * [taylor]: Taking taylor expansion of 0 in z 2.278 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 2.278 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 2.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.278 * [taylor]: Taking taylor expansion of x in y 2.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.278 * [taylor]: Taking taylor expansion of y in y 2.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.278 * [taylor]: Taking taylor expansion of y in x 2.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.278 * [taylor]: Taking taylor expansion of y in x 2.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.279 * [taylor]: Taking taylor expansion of y in y 2.279 * [taylor]: Taking taylor expansion of 0 in y 2.280 * [taylor]: Taking taylor expansion of 1 in y 2.282 * [taylor]: Taking taylor expansion of 0 in y 2.284 * [taylor]: Taking taylor expansion of 0 in y 2.284 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.284 * [taylor]: Taking taylor expansion of x in y 2.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.284 * [taylor]: Taking taylor expansion of y in y 2.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.289 * [taylor]: Taking taylor expansion of x in x 2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.290 * [taylor]: Taking taylor expansion of y in x 2.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.290 * [taylor]: Taking taylor expansion of x in x 2.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.291 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.291 * [taylor]: Taking taylor expansion of y in x 2.291 * [taylor]: Taking taylor expansion of 1 in y 2.293 * [taylor]: Taking taylor expansion of 0 in y 2.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.294 * [taylor]: Taking taylor expansion of y in y 2.296 * [taylor]: Taking taylor expansion of 0 in y 2.299 * [taylor]: Taking taylor expansion of 0 in y 2.301 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.301 * [taylor]: Taking taylor expansion of x in y 2.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.302 * [taylor]: Taking taylor expansion of y in y 2.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.302 * [taylor]: Taking taylor expansion of x in x 2.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.303 * [taylor]: Taking taylor expansion of y in x 2.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.303 * [taylor]: Taking taylor expansion of x in x 2.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.304 * [taylor]: Taking taylor expansion of y in x 2.304 * [taylor]: Taking taylor expansion of 1 in y 2.305 * [taylor]: Taking taylor expansion of 0 in y 2.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.307 * [taylor]: Taking taylor expansion of y in y 2.309 * [taylor]: Taking taylor expansion of 0 in y 2.312 * [taylor]: Taking taylor expansion of 0 in y 2.313 * * * [progress]: simplifying candidates 2.314 * [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)) 2.317 * * [simplify]: iteration 0 : 65 enodes (cost 571 ) 2.329 * * [simplify]: iteration 1 : 151 enodes (cost 371 ) 2.368 * * [simplify]: iteration 2 : 513 enodes (cost 312 ) 2.632 * * [simplify]: iteration 3 : 1868 enodes (cost 308 ) 3.484 * * [simplify]: iteration done : 5001 enodes (cost 308 ) 3.485 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (fabs (cbrt (fma x x (* y y)))) (sqrt (cbrt (fma x x (* y y)))) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 (hypot x y) (hypot (pow x 3) (pow y 3)) (sqrt (fma (* y y) (- (* y y) (* x x)) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma z z (fma x x (* y y))) (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)) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (exp (fma x x (* y y))) (* 2 (log (hypot x y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (+ (pow x 6) (pow y 6)) (fma (* y y) (- (* y y) (* x x)) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) y x (- x) z x (- x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 3.485 * * * [progress]: adding candidates to table 3.631 * * [progress]: iteration 3 / 4 3.631 * * * [progress]: picking best candidate 3.633 * * * * [pick]: Picked # 3.633 * * * [progress]: localizing error 3.638 * * * [progress]: generating rewritten candidates 3.638 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.639 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.640 * * * [progress]: generating series expansions 3.640 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.640 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 3.640 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 3.640 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 3.640 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 3.640 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 3.640 * [taylor]: Taking taylor expansion of (hypot x y) in z 3.640 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.640 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 3.640 * [taylor]: Taking taylor expansion of (* x x) in z 3.640 * [taylor]: Taking taylor expansion of x in z 3.640 * [taylor]: Taking taylor expansion of x in z 3.640 * [taylor]: Taking taylor expansion of (* y y) in z 3.640 * [taylor]: Taking taylor expansion of y in z 3.640 * [taylor]: Taking taylor expansion of y in z 3.641 * [taylor]: Taking taylor expansion of (hypot x y) in z 3.641 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.641 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 3.642 * [taylor]: Taking taylor expansion of (* x x) in z 3.642 * [taylor]: Taking taylor expansion of x in z 3.642 * [taylor]: Taking taylor expansion of x in z 3.642 * [taylor]: Taking taylor expansion of (* y y) in z 3.642 * [taylor]: Taking taylor expansion of y in z 3.642 * [taylor]: Taking taylor expansion of y in z 3.642 * [taylor]: Taking taylor expansion of (* z z) in z 3.643 * [taylor]: Taking taylor expansion of z in z 3.643 * [taylor]: Taking taylor expansion of z in z 3.645 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 3.645 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 3.645 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 3.645 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 3.645 * [taylor]: Taking taylor expansion of (hypot x y) in y 3.645 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.645 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 3.645 * [taylor]: Taking taylor expansion of (* x x) in y 3.645 * [taylor]: Taking taylor expansion of x in y 3.645 * [taylor]: Taking taylor expansion of x in y 3.645 * [taylor]: Taking taylor expansion of (* y y) in y 3.645 * [taylor]: Taking taylor expansion of y in y 3.645 * [taylor]: Taking taylor expansion of y in y 3.646 * [taylor]: Taking taylor expansion of (hypot x y) in y 3.646 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.646 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 3.646 * [taylor]: Taking taylor expansion of (* x x) in y 3.646 * [taylor]: Taking taylor expansion of x in y 3.646 * [taylor]: Taking taylor expansion of x in y 3.646 * [taylor]: Taking taylor expansion of (* y y) in y 3.646 * [taylor]: Taking taylor expansion of y in y 3.646 * [taylor]: Taking taylor expansion of y in y 3.648 * [taylor]: Taking taylor expansion of (* z z) in y 3.648 * [taylor]: Taking taylor expansion of z in y 3.648 * [taylor]: Taking taylor expansion of z in y 3.649 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 3.649 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 3.649 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 3.649 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 3.649 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.649 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.649 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.649 * [taylor]: Taking taylor expansion of (* x x) in x 3.649 * [taylor]: Taking taylor expansion of x in x 3.649 * [taylor]: Taking taylor expansion of x in x 3.649 * [taylor]: Taking taylor expansion of (* y y) in x 3.649 * [taylor]: Taking taylor expansion of y in x 3.649 * [taylor]: Taking taylor expansion of y in x 3.654 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.654 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.654 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.654 * [taylor]: Taking taylor expansion of (* x x) in x 3.654 * [taylor]: Taking taylor expansion of x in x 3.654 * [taylor]: Taking taylor expansion of x in x 3.654 * [taylor]: Taking taylor expansion of (* y y) in x 3.654 * [taylor]: Taking taylor expansion of y in x 3.654 * [taylor]: Taking taylor expansion of y in x 3.656 * [taylor]: Taking taylor expansion of (* z z) in x 3.656 * [taylor]: Taking taylor expansion of z in x 3.656 * [taylor]: Taking taylor expansion of z in x 3.657 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 3.657 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 3.657 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 3.657 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 3.657 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.657 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.657 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.657 * [taylor]: Taking taylor expansion of (* x x) in x 3.657 * [taylor]: Taking taylor expansion of x in x 3.657 * [taylor]: Taking taylor expansion of x in x 3.657 * [taylor]: Taking taylor expansion of (* y y) in x 3.657 * [taylor]: Taking taylor expansion of y in x 3.657 * [taylor]: Taking taylor expansion of y in x 3.658 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.658 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.658 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.658 * [taylor]: Taking taylor expansion of (* x x) in x 3.658 * [taylor]: Taking taylor expansion of x in x 3.658 * [taylor]: Taking taylor expansion of x in x 3.658 * [taylor]: Taking taylor expansion of (* y y) in x 3.658 * [taylor]: Taking taylor expansion of y in x 3.658 * [taylor]: Taking taylor expansion of y in x 3.659 * [taylor]: Taking taylor expansion of (* z z) in x 3.660 * [taylor]: Taking taylor expansion of z in x 3.660 * [taylor]: Taking taylor expansion of z in x 3.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 3.660 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 3.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.660 * [taylor]: Taking taylor expansion of y in y 3.660 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.661 * [taylor]: Taking taylor expansion of z in y 3.661 * [taylor]: Taking taylor expansion of z in z 3.661 * [taylor]: Taking taylor expansion of 0 in y 3.661 * [taylor]: Taking taylor expansion of 0 in z 3.661 * [taylor]: Taking taylor expansion of 0 in z 3.666 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 3.666 * [taylor]: Taking taylor expansion of 1/2 in y 3.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 3.666 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 3.666 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 3.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.666 * [taylor]: Taking taylor expansion of y in y 3.666 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.666 * [taylor]: Taking taylor expansion of z in y 3.667 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 3.667 * [taylor]: Taking taylor expansion of 1/2 in z 3.667 * [taylor]: Taking taylor expansion of z in z 3.668 * [taylor]: Taking taylor expansion of 0 in z 3.669 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 3.669 * [taylor]: Taking taylor expansion of 1/2 in z 3.669 * [taylor]: Taking taylor expansion of z in z 3.671 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 3.671 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 3.671 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 3.671 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 3.671 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 3.671 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 3.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.671 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 3.671 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 3.671 * [taylor]: Taking taylor expansion of (/ 1 x) in z 3.671 * [taylor]: Taking taylor expansion of x in z 3.671 * [taylor]: Taking taylor expansion of (/ 1 x) in z 3.671 * [taylor]: Taking taylor expansion of x in z 3.671 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 3.671 * [taylor]: Taking taylor expansion of (/ 1 y) in z 3.671 * [taylor]: Taking taylor expansion of y in z 3.671 * [taylor]: Taking taylor expansion of (/ 1 y) in z 3.671 * [taylor]: Taking taylor expansion of y in z 3.673 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 3.673 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.673 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 3.673 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 3.673 * [taylor]: Taking taylor expansion of (/ 1 x) in z 3.673 * [taylor]: Taking taylor expansion of x in z 3.673 * [taylor]: Taking taylor expansion of (/ 1 x) in z 3.673 * [taylor]: Taking taylor expansion of x in z 3.673 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 3.673 * [taylor]: Taking taylor expansion of (/ 1 y) in z 3.673 * [taylor]: Taking taylor expansion of y in z 3.673 * [taylor]: Taking taylor expansion of (/ 1 y) in z 3.673 * [taylor]: Taking taylor expansion of y in z 3.675 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 3.675 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.675 * [taylor]: Taking taylor expansion of z in z 3.675 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.675 * [taylor]: Taking taylor expansion of z in z 3.678 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 3.679 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 3.679 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 3.679 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 3.679 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 3.679 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.679 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 3.679 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.679 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.679 * [taylor]: Taking taylor expansion of x in y 3.679 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.679 * [taylor]: Taking taylor expansion of x in y 3.679 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.679 * [taylor]: Taking taylor expansion of y in y 3.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.679 * [taylor]: Taking taylor expansion of y in y 3.683 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 3.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.683 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 3.683 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.683 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.683 * [taylor]: Taking taylor expansion of x in y 3.683 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.683 * [taylor]: Taking taylor expansion of x in y 3.683 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.683 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.683 * [taylor]: Taking taylor expansion of y in y 3.683 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.683 * [taylor]: Taking taylor expansion of y in y 3.686 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 3.686 * [taylor]: Taking taylor expansion of (/ 1 z) in y 3.687 * [taylor]: Taking taylor expansion of z in y 3.687 * [taylor]: Taking taylor expansion of (/ 1 z) in y 3.687 * [taylor]: Taking taylor expansion of z in y 3.688 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 3.689 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 3.689 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 3.689 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 3.689 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.689 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.689 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.689 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.689 * [taylor]: Taking taylor expansion of x in x 3.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.689 * [taylor]: Taking taylor expansion of x in x 3.690 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.690 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.690 * [taylor]: Taking taylor expansion of y in x 3.690 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.690 * [taylor]: Taking taylor expansion of y in x 3.692 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.693 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.693 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.693 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.693 * [taylor]: Taking taylor expansion of x in x 3.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.693 * [taylor]: Taking taylor expansion of x in x 3.693 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.693 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.693 * [taylor]: Taking taylor expansion of y in x 3.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.694 * [taylor]: Taking taylor expansion of y in x 3.696 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 3.696 * [taylor]: Taking taylor expansion of (/ 1 z) in x 3.696 * [taylor]: Taking taylor expansion of z in x 3.696 * [taylor]: Taking taylor expansion of (/ 1 z) in x 3.696 * [taylor]: Taking taylor expansion of z in x 3.698 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 3.699 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 3.699 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 3.699 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 3.699 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.699 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.699 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.699 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.699 * [taylor]: Taking taylor expansion of x in x 3.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.699 * [taylor]: Taking taylor expansion of x in x 3.699 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.699 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.699 * [taylor]: Taking taylor expansion of y in x 3.700 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.700 * [taylor]: Taking taylor expansion of y in x 3.702 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.703 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.703 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.703 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.703 * [taylor]: Taking taylor expansion of x in x 3.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.703 * [taylor]: Taking taylor expansion of x in x 3.703 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.703 * [taylor]: Taking taylor expansion of y in x 3.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.703 * [taylor]: Taking taylor expansion of y in x 3.706 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 3.706 * [taylor]: Taking taylor expansion of (/ 1 z) in x 3.706 * [taylor]: Taking taylor expansion of z in x 3.706 * [taylor]: Taking taylor expansion of (/ 1 z) in x 3.706 * [taylor]: Taking taylor expansion of z in x 3.708 * [taylor]: Taking taylor expansion of 1 in y 3.709 * [taylor]: Taking taylor expansion of 0 in y 3.709 * [taylor]: Taking taylor expansion of 1 in z 3.716 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 3.716 * [taylor]: Taking taylor expansion of 1/2 in y 3.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 3.716 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 3.716 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.716 * [taylor]: Taking taylor expansion of z in y 3.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.716 * [taylor]: Taking taylor expansion of y in y 3.718 * [taylor]: Taking taylor expansion of 0 in z 3.718 * [taylor]: Taking taylor expansion of 0 in z 3.719 * [taylor]: Taking taylor expansion of 0 in z 3.726 * [taylor]: Taking taylor expansion of 0 in y 3.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 3.728 * [taylor]: Taking taylor expansion of 1/2 in z 3.728 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 3.728 * [taylor]: Taking taylor expansion of (pow z 2) in z 3.728 * [taylor]: Taking taylor expansion of z in z 3.730 * [taylor]: Taking taylor expansion of 0 in z 3.730 * [taylor]: Taking taylor expansion of 0 in z 3.740 * [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 3.740 * [taylor]: Taking taylor expansion of -1/2 in y 3.740 * [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 3.740 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 3.740 * [taylor]: Taking taylor expansion of 1/4 in y 3.740 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 3.740 * [taylor]: Taking taylor expansion of (pow z 4) in y 3.740 * [taylor]: Taking taylor expansion of z in y 3.740 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 3.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 3.740 * [taylor]: Taking taylor expansion of 1/2 in y 3.740 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 3.740 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 3.740 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.740 * [taylor]: Taking taylor expansion of z in y 3.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.740 * [taylor]: Taking taylor expansion of y in y 3.741 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 3.741 * [taylor]: Taking taylor expansion of 1/4 in y 3.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.741 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.741 * [taylor]: Taking taylor expansion of y in y 3.756 * [taylor]: Taking taylor expansion of 0 in z 3.756 * [taylor]: Taking taylor expansion of 0 in z 3.759 * [taylor]: Taking taylor expansion of 0 in z 3.759 * [taylor]: Taking taylor expansion of 0 in z 3.759 * [taylor]: Taking taylor expansion of 0 in z 3.761 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 3.761 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 3.761 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 3.761 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 3.761 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 3.761 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 3.761 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.761 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 3.761 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 3.761 * [taylor]: Taking taylor expansion of (/ -1 x) in z 3.761 * [taylor]: Taking taylor expansion of -1 in z 3.761 * [taylor]: Taking taylor expansion of x in z 3.761 * [taylor]: Taking taylor expansion of (/ -1 x) in z 3.761 * [taylor]: Taking taylor expansion of -1 in z 3.761 * [taylor]: Taking taylor expansion of x in z 3.762 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 3.762 * [taylor]: Taking taylor expansion of (/ -1 y) in z 3.762 * [taylor]: Taking taylor expansion of -1 in z 3.762 * [taylor]: Taking taylor expansion of y in z 3.762 * [taylor]: Taking taylor expansion of (/ -1 y) in z 3.762 * [taylor]: Taking taylor expansion of -1 in z 3.762 * [taylor]: Taking taylor expansion of y in z 3.763 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 3.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.763 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 3.763 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 3.763 * [taylor]: Taking taylor expansion of (/ -1 x) in z 3.763 * [taylor]: Taking taylor expansion of -1 in z 3.763 * [taylor]: Taking taylor expansion of x in z 3.763 * [taylor]: Taking taylor expansion of (/ -1 x) in z 3.763 * [taylor]: Taking taylor expansion of -1 in z 3.763 * [taylor]: Taking taylor expansion of x in z 3.763 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 3.763 * [taylor]: Taking taylor expansion of (/ -1 y) in z 3.763 * [taylor]: Taking taylor expansion of -1 in z 3.763 * [taylor]: Taking taylor expansion of y in z 3.763 * [taylor]: Taking taylor expansion of (/ -1 y) in z 3.763 * [taylor]: Taking taylor expansion of -1 in z 3.763 * [taylor]: Taking taylor expansion of y in z 3.765 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 3.765 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.765 * [taylor]: Taking taylor expansion of -1 in z 3.765 * [taylor]: Taking taylor expansion of z in z 3.765 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.765 * [taylor]: Taking taylor expansion of -1 in z 3.765 * [taylor]: Taking taylor expansion of z in z 3.769 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 3.769 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 3.769 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 3.769 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 3.769 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 3.769 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.769 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 3.769 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.769 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.769 * [taylor]: Taking taylor expansion of -1 in y 3.769 * [taylor]: Taking taylor expansion of x in y 3.769 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.769 * [taylor]: Taking taylor expansion of -1 in y 3.769 * [taylor]: Taking taylor expansion of x in y 3.769 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.769 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.769 * [taylor]: Taking taylor expansion of -1 in y 3.769 * [taylor]: Taking taylor expansion of y in y 3.770 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.770 * [taylor]: Taking taylor expansion of -1 in y 3.770 * [taylor]: Taking taylor expansion of y in y 3.773 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 3.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.774 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 3.774 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.774 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.774 * [taylor]: Taking taylor expansion of -1 in y 3.774 * [taylor]: Taking taylor expansion of x in y 3.774 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.774 * [taylor]: Taking taylor expansion of -1 in y 3.774 * [taylor]: Taking taylor expansion of x in y 3.774 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.774 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.774 * [taylor]: Taking taylor expansion of -1 in y 3.774 * [taylor]: Taking taylor expansion of y in y 3.774 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.774 * [taylor]: Taking taylor expansion of -1 in y 3.774 * [taylor]: Taking taylor expansion of y in y 3.777 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 3.778 * [taylor]: Taking taylor expansion of (/ -1 z) in y 3.778 * [taylor]: Taking taylor expansion of -1 in y 3.778 * [taylor]: Taking taylor expansion of z in y 3.778 * [taylor]: Taking taylor expansion of (/ -1 z) in y 3.778 * [taylor]: Taking taylor expansion of -1 in y 3.778 * [taylor]: Taking taylor expansion of z in y 3.780 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 3.780 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 3.780 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 3.780 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 3.780 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.780 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.780 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.780 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.780 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.781 * [taylor]: Taking taylor expansion of -1 in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.781 * [taylor]: Taking taylor expansion of -1 in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.781 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.781 * [taylor]: Taking taylor expansion of -1 in x 3.781 * [taylor]: Taking taylor expansion of y in x 3.781 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.781 * [taylor]: Taking taylor expansion of -1 in x 3.781 * [taylor]: Taking taylor expansion of y in x 3.784 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.785 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.785 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.785 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.785 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.785 * [taylor]: Taking taylor expansion of -1 in x 3.785 * [taylor]: Taking taylor expansion of x in x 3.785 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.785 * [taylor]: Taking taylor expansion of -1 in x 3.785 * [taylor]: Taking taylor expansion of x in x 3.785 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.785 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.785 * [taylor]: Taking taylor expansion of -1 in x 3.785 * [taylor]: Taking taylor expansion of y in x 3.786 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.786 * [taylor]: Taking taylor expansion of -1 in x 3.786 * [taylor]: Taking taylor expansion of y in x 3.788 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 3.788 * [taylor]: Taking taylor expansion of (/ -1 z) in x 3.788 * [taylor]: Taking taylor expansion of -1 in x 3.789 * [taylor]: Taking taylor expansion of z in x 3.789 * [taylor]: Taking taylor expansion of (/ -1 z) in x 3.789 * [taylor]: Taking taylor expansion of -1 in x 3.789 * [taylor]: Taking taylor expansion of z in x 3.790 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 3.791 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 3.791 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 3.791 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 3.791 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.791 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.791 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.791 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.791 * [taylor]: Taking taylor expansion of -1 in x 3.791 * [taylor]: Taking taylor expansion of x in x 3.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.791 * [taylor]: Taking taylor expansion of -1 in x 3.791 * [taylor]: Taking taylor expansion of x in x 3.792 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.792 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.792 * [taylor]: Taking taylor expansion of -1 in x 3.792 * [taylor]: Taking taylor expansion of y in x 3.792 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.792 * [taylor]: Taking taylor expansion of -1 in x 3.792 * [taylor]: Taking taylor expansion of y in x 3.795 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.795 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.795 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.795 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.795 * [taylor]: Taking taylor expansion of -1 in x 3.795 * [taylor]: Taking taylor expansion of x in x 3.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.795 * [taylor]: Taking taylor expansion of -1 in x 3.795 * [taylor]: Taking taylor expansion of x in x 3.796 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.796 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.796 * [taylor]: Taking taylor expansion of -1 in x 3.796 * [taylor]: Taking taylor expansion of y in x 3.796 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.796 * [taylor]: Taking taylor expansion of -1 in x 3.796 * [taylor]: Taking taylor expansion of y in x 3.799 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 3.799 * [taylor]: Taking taylor expansion of (/ -1 z) in x 3.799 * [taylor]: Taking taylor expansion of -1 in x 3.799 * [taylor]: Taking taylor expansion of z in x 3.799 * [taylor]: Taking taylor expansion of (/ -1 z) in x 3.799 * [taylor]: Taking taylor expansion of -1 in x 3.799 * [taylor]: Taking taylor expansion of z in x 3.801 * [taylor]: Taking taylor expansion of 1 in y 3.801 * [taylor]: Taking taylor expansion of 0 in y 3.801 * [taylor]: Taking taylor expansion of 1 in z 3.809 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 3.809 * [taylor]: Taking taylor expansion of 1/2 in y 3.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 3.809 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 3.809 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.809 * [taylor]: Taking taylor expansion of z in y 3.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.809 * [taylor]: Taking taylor expansion of y in y 3.811 * [taylor]: Taking taylor expansion of 0 in z 3.812 * [taylor]: Taking taylor expansion of 0 in z 3.812 * [taylor]: Taking taylor expansion of 0 in z 3.819 * [taylor]: Taking taylor expansion of 0 in y 3.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 3.821 * [taylor]: Taking taylor expansion of 1/2 in z 3.821 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 3.821 * [taylor]: Taking taylor expansion of (pow z 2) in z 3.821 * [taylor]: Taking taylor expansion of z in z 3.823 * [taylor]: Taking taylor expansion of 0 in z 3.823 * [taylor]: Taking taylor expansion of 0 in z 3.833 * [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 3.833 * [taylor]: Taking taylor expansion of -1/2 in y 3.833 * [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 3.833 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 3.833 * [taylor]: Taking taylor expansion of 1/4 in y 3.833 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 3.833 * [taylor]: Taking taylor expansion of (pow z 4) in y 3.833 * [taylor]: Taking taylor expansion of z in y 3.834 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 3.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 3.834 * [taylor]: Taking taylor expansion of 1/2 in y 3.834 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 3.834 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 3.834 * [taylor]: Taking taylor expansion of (pow z 2) in y 3.834 * [taylor]: Taking taylor expansion of z in y 3.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.834 * [taylor]: Taking taylor expansion of y in y 3.834 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 3.834 * [taylor]: Taking taylor expansion of 1/4 in y 3.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.834 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.834 * [taylor]: Taking taylor expansion of y in y 3.846 * [taylor]: Taking taylor expansion of 0 in z 3.846 * [taylor]: Taking taylor expansion of 0 in z 3.852 * [taylor]: Taking taylor expansion of 0 in z 3.852 * [taylor]: Taking taylor expansion of 0 in z 3.852 * [taylor]: Taking taylor expansion of 0 in z 3.854 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.854 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 3.854 * [taylor]: Taking taylor expansion of (hypot x y) in y 3.854 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.854 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 3.854 * [taylor]: Taking taylor expansion of (* x x) in y 3.854 * [taylor]: Taking taylor expansion of x in y 3.854 * [taylor]: Taking taylor expansion of x in y 3.854 * [taylor]: Taking taylor expansion of (* y y) in y 3.854 * [taylor]: Taking taylor expansion of y in y 3.854 * [taylor]: Taking taylor expansion of y in y 3.856 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.856 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.856 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.856 * [taylor]: Taking taylor expansion of (* x x) in x 3.856 * [taylor]: Taking taylor expansion of x in x 3.856 * [taylor]: Taking taylor expansion of x in x 3.856 * [taylor]: Taking taylor expansion of (* y y) in x 3.856 * [taylor]: Taking taylor expansion of y in x 3.856 * [taylor]: Taking taylor expansion of y in x 3.857 * [taylor]: Taking taylor expansion of (hypot x y) in x 3.857 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 3.857 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 3.857 * [taylor]: Taking taylor expansion of (* x x) in x 3.857 * [taylor]: Taking taylor expansion of x in x 3.857 * [taylor]: Taking taylor expansion of x in x 3.857 * [taylor]: Taking taylor expansion of (* y y) in x 3.857 * [taylor]: Taking taylor expansion of y in x 3.857 * [taylor]: Taking taylor expansion of y in x 3.859 * [taylor]: Taking taylor expansion of y in y 3.859 * [taylor]: Taking taylor expansion of 0 in y 3.860 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.860 * [taylor]: Taking taylor expansion of 1/2 in y 3.860 * [taylor]: Taking taylor expansion of y in y 3.863 * [taylor]: Taking taylor expansion of 0 in y 3.864 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 3.864 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 3.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.864 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 3.864 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.864 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.864 * [taylor]: Taking taylor expansion of x in y 3.864 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.864 * [taylor]: Taking taylor expansion of x in y 3.864 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.864 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.864 * [taylor]: Taking taylor expansion of y in y 3.864 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.864 * [taylor]: Taking taylor expansion of y in y 3.868 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.868 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.868 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.868 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.868 * [taylor]: Taking taylor expansion of x in x 3.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.868 * [taylor]: Taking taylor expansion of x in x 3.869 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.869 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.869 * [taylor]: Taking taylor expansion of y in x 3.869 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.869 * [taylor]: Taking taylor expansion of y in x 3.872 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 3.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 3.873 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 3.873 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.873 * [taylor]: Taking taylor expansion of x in x 3.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.873 * [taylor]: Taking taylor expansion of x in x 3.873 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.873 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.873 * [taylor]: Taking taylor expansion of y in x 3.874 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.874 * [taylor]: Taking taylor expansion of y in x 3.876 * [taylor]: Taking taylor expansion of 1 in y 3.876 * [taylor]: Taking taylor expansion of 0 in y 3.879 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.879 * [taylor]: Taking taylor expansion of 1/2 in y 3.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.879 * [taylor]: Taking taylor expansion of y in y 3.883 * [taylor]: Taking taylor expansion of 0 in y 3.885 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 3.885 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 3.885 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.885 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 3.885 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.885 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.885 * [taylor]: Taking taylor expansion of -1 in y 3.885 * [taylor]: Taking taylor expansion of x in y 3.885 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.885 * [taylor]: Taking taylor expansion of -1 in y 3.885 * [taylor]: Taking taylor expansion of x in y 3.885 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.885 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.885 * [taylor]: Taking taylor expansion of -1 in y 3.885 * [taylor]: Taking taylor expansion of y in y 3.886 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.886 * [taylor]: Taking taylor expansion of -1 in y 3.886 * [taylor]: Taking taylor expansion of y in y 3.889 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.889 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.889 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.889 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.889 * [taylor]: Taking taylor expansion of -1 in x 3.889 * [taylor]: Taking taylor expansion of x in x 3.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.889 * [taylor]: Taking taylor expansion of -1 in x 3.889 * [taylor]: Taking taylor expansion of x in x 3.890 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.890 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.890 * [taylor]: Taking taylor expansion of -1 in x 3.890 * [taylor]: Taking taylor expansion of y in x 3.890 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.890 * [taylor]: Taking taylor expansion of -1 in x 3.890 * [taylor]: Taking taylor expansion of y in x 3.893 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 3.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 3.893 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 3.893 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.893 * [taylor]: Taking taylor expansion of -1 in x 3.893 * [taylor]: Taking taylor expansion of x in x 3.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.893 * [taylor]: Taking taylor expansion of -1 in x 3.893 * [taylor]: Taking taylor expansion of x in x 3.894 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.894 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.894 * [taylor]: Taking taylor expansion of -1 in x 3.894 * [taylor]: Taking taylor expansion of y in x 3.894 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.894 * [taylor]: Taking taylor expansion of -1 in x 3.894 * [taylor]: Taking taylor expansion of y in x 3.897 * [taylor]: Taking taylor expansion of 1 in y 3.897 * [taylor]: Taking taylor expansion of 0 in y 3.900 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.900 * [taylor]: Taking taylor expansion of 1/2 in y 3.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.900 * [taylor]: Taking taylor expansion of y in y 3.904 * [taylor]: Taking taylor expansion of 0 in y 3.905 * * * [progress]: simplifying candidates 3.906 * [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)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) z x (* -1 x) y x (* -1 x) 3.907 * * [simplify]: iteration 0 : 30 enodes (cost 148 ) 3.910 * * [simplify]: iteration 1 : 38 enodes (cost 144 ) 3.915 * * [simplify]: iteration 2 : 43 enodes (cost 128 ) 3.920 * * [simplify]: iteration 3 : 50 enodes (cost 128 ) 3.927 * * [simplify]: iteration 4 : 59 enodes (cost 128 ) 3.938 * * [simplify]: iteration 5 : 76 enodes (cost 128 ) 3.948 * * [simplify]: iteration 6 : 115 enodes (cost 128 ) 3.968 * * [simplify]: iteration 7 : 229 enodes (cost 128 ) 4.055 * * [simplify]: iteration 8 : 641 enodes (cost 128 ) 4.848 * * [simplify]: iteration 9 : 2487 enodes (cost 128 ) 6.850 * * [simplify]: iteration done : 5001 enodes (cost 128 ) 6.850 * [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)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) z x (- x) y x (- x) 6.907 * * * [progress]: adding candidates to table 6.996 * [progress]: [Phase 3 of 3] Extracting. 6.996 * * [regime]: Finding splitpoints for: (# #) 6.996 * * * [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) 6.996 * * * * [regimes]: Trying to branch on (* z z) from (# #) 7.010 * * * * [regimes]: Trying to branch on (* y y) from (# #) 7.025 * * * * [regimes]: Trying to branch on (* x x) from (# #) 7.039 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 7.053 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# #) 7.067 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# #) 7.085 * * * * [regimes]: Trying to branch on z from (# #) 7.100 * * * * [regimes]: Trying to branch on y from (# #) 7.117 * * * * [regimes]: Trying to branch on x from (# #) 7.131 * * * [regime]: Found split indices: #