8.789 * [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))) 0.021 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.024 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.027 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.029 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.032 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.032 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.063 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.068 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.068 * [taylor]: Taking taylor expansion of x in z 0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.068 * [taylor]: Taking taylor expansion of y in z 0.068 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.068 * [taylor]: Taking taylor expansion of z in z 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.070 * [taylor]: Taking taylor expansion of z in y 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.072 * [taylor]: Taking taylor expansion of z in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.073 * [taylor]: Taking taylor expansion of z in x 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.075 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.075 * [taylor]: Taking taylor expansion of z in y 0.076 * [taylor]: Taking taylor expansion of z in z 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in z 0.076 * [taylor]: Taking taylor expansion of 0 in z 0.078 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.079 * [taylor]: Taking taylor expansion of 1/2 in y 0.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.079 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.079 * [taylor]: Taking taylor expansion of z in y 0.080 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.080 * [taylor]: Taking taylor expansion of 1/2 in z 0.080 * [taylor]: Taking taylor expansion of z in z 0.081 * [taylor]: Taking taylor expansion of 0 in z 0.082 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.082 * [taylor]: Taking taylor expansion of 1/2 in z 0.082 * [taylor]: Taking taylor expansion of z in z 0.084 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.084 * [taylor]: Taking taylor expansion of x in z 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.084 * [taylor]: Taking taylor expansion of z in z 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.085 * [taylor]: Taking taylor expansion of y in z 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.088 * [taylor]: Taking taylor expansion of z in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.093 * [taylor]: Taking taylor expansion of z in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.096 * [taylor]: Taking taylor expansion of z in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 1 in z 0.102 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.102 * [taylor]: Taking taylor expansion of 1/2 in y 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.102 * [taylor]: Taking taylor expansion of z in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.110 * [taylor]: Taking taylor expansion of 1/2 in z 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.110 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.110 * [taylor]: Taking taylor expansion of z in z 0.112 * [taylor]: Taking taylor expansion of 0 in z 0.112 * [taylor]: Taking taylor expansion of 0 in z 0.117 * [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 0.117 * [taylor]: Taking taylor expansion of -1/2 in y 0.117 * [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 0.117 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.117 * [taylor]: Taking taylor expansion of 1/4 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.117 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.117 * [taylor]: Taking taylor expansion of z in y 0.118 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.118 * [taylor]: Taking taylor expansion of 1/2 in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.118 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.118 * [taylor]: Taking taylor expansion of z in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.118 * [taylor]: Taking taylor expansion of 1/4 in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of 0 in z 0.131 * [taylor]: Taking taylor expansion of 0 in z 0.134 * [taylor]: Taking taylor expansion of 0 in z 0.134 * [taylor]: Taking taylor expansion of 0 in z 0.134 * [taylor]: Taking taylor expansion of 0 in z 0.136 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.136 * [taylor]: Taking taylor expansion of x in z 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.136 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.136 * [taylor]: Taking taylor expansion of z in z 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.137 * [taylor]: Taking taylor expansion of y in z 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.141 * [taylor]: Taking taylor expansion of z in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [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 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.152 * [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 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.155 * [taylor]: Taking taylor expansion of z in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of 1 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of 1 in z 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.161 * [taylor]: Taking taylor expansion of 1/2 in y 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.161 * [taylor]: Taking taylor expansion of z in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.169 * [taylor]: Taking taylor expansion of 1/2 in z 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.169 * [taylor]: Taking taylor expansion of z in z 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.176 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.177 * [taylor]: Taking taylor expansion of -1/2 in y 0.177 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.177 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.177 * [taylor]: Taking taylor expansion of 1/4 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.177 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.177 * [taylor]: Taking taylor expansion of z in y 0.177 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.177 * [taylor]: Taking taylor expansion of 1/2 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.177 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.177 * [taylor]: Taking taylor expansion of z in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.178 * [taylor]: Taking taylor expansion of 1/4 in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.193 * [taylor]: Taking taylor expansion of 0 in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.195 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.196 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of 1 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of 1 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.230 * * * [progress]: simplifying candidates 0.230 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.235 * * [simplify]: iteration 0 : 186 enodes (cost 224 ) 0.241 * * [simplify]: iteration 1 : 767 enodes (cost 212 ) 0.257 * * [simplify]: iteration 2 : 2319 enodes (cost 209 ) 0.311 * * [simplify]: iteration 3 : 5001 enodes (cost 207 ) 0.313 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.314 * * * [progress]: adding candidates to table 0.434 * * [progress]: iteration 2 / 4 0.434 * * * [progress]: picking best candidate 0.443 * * * * [pick]: Picked # 0.443 * * * [progress]: localizing error 0.451 * * * [progress]: generating rewritten candidates 0.451 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.456 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.456 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.464 * * * [progress]: generating series expansions 0.464 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.464 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.465 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.466 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.469 * [taylor]: Taking taylor expansion of 1/2 in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of 1 in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of 1/2 in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of 1 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.503 * [taylor]: Taking taylor expansion of 1/2 in y 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.508 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.508 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 0.508 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 0.509 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.509 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 0.509 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 0.509 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.509 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.509 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.509 * [taylor]: Taking taylor expansion of x in z 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.509 * [taylor]: Taking taylor expansion of y in z 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.510 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.510 * [taylor]: Taking taylor expansion of x in z 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.510 * [taylor]: Taking taylor expansion of y in z 0.511 * [taylor]: Taking taylor expansion of (* z z) in z 0.511 * [taylor]: Taking taylor expansion of z in z 0.511 * [taylor]: Taking taylor expansion of z in z 0.513 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 0.514 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.514 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 0.514 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.515 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (* z z) in y 0.516 * [taylor]: Taking taylor expansion of z in y 0.516 * [taylor]: Taking taylor expansion of z in y 0.517 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.517 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.517 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.517 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.517 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.518 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (* z z) in x 0.518 * [taylor]: Taking taylor expansion of z in x 0.518 * [taylor]: Taking taylor expansion of z in x 0.519 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.519 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.519 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.519 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.519 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.520 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.521 * [taylor]: Taking taylor expansion of (* z z) in x 0.521 * [taylor]: Taking taylor expansion of z in x 0.521 * [taylor]: Taking taylor expansion of z in x 0.522 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.522 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.523 * [taylor]: Taking taylor expansion of z in y 0.523 * [taylor]: Taking taylor expansion of z in z 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [taylor]: Taking taylor expansion of 0 in z 0.524 * [taylor]: Taking taylor expansion of 0 in z 0.528 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.528 * [taylor]: Taking taylor expansion of 1/2 in y 0.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.528 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.528 * [taylor]: Taking taylor expansion of z in y 0.529 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.530 * [taylor]: Taking taylor expansion of 1/2 in z 0.530 * [taylor]: Taking taylor expansion of z in z 0.531 * [taylor]: Taking taylor expansion of 0 in z 0.532 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.532 * [taylor]: Taking taylor expansion of 1/2 in z 0.532 * [taylor]: Taking taylor expansion of z in z 0.534 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 0.534 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 0.534 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.534 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 0.534 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.534 * [taylor]: Taking taylor expansion of x in z 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.534 * [taylor]: Taking taylor expansion of y in z 0.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.536 * [taylor]: Taking taylor expansion of x in z 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.536 * [taylor]: Taking taylor expansion of y in z 0.538 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.538 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.538 * [taylor]: Taking taylor expansion of z in z 0.538 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.538 * [taylor]: Taking taylor expansion of z in z 0.541 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 0.541 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.541 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y 0.541 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.542 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.548 * [taylor]: Taking taylor expansion of z in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.548 * [taylor]: Taking taylor expansion of z in y 0.550 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.550 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.550 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 0.550 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.557 * [taylor]: Taking taylor expansion of z in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.557 * [taylor]: Taking taylor expansion of z in x 0.559 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.559 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.559 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 0.559 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.565 * [taylor]: Taking taylor expansion of z in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.565 * [taylor]: Taking taylor expansion of z in x 0.567 * [taylor]: Taking taylor expansion of 1 in y 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.568 * [taylor]: Taking taylor expansion of 1 in z 0.581 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.582 * [taylor]: Taking taylor expansion of 1/2 in y 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.582 * [taylor]: Taking taylor expansion of z in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 0 in z 0.585 * [taylor]: Taking taylor expansion of 0 in z 0.585 * [taylor]: Taking taylor expansion of 0 in z 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.593 * [taylor]: Taking taylor expansion of 1/2 in z 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.593 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.593 * [taylor]: Taking taylor expansion of z in z 0.595 * [taylor]: Taking taylor expansion of 0 in z 0.595 * [taylor]: Taking taylor expansion of 0 in z 0.605 * [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 0.605 * [taylor]: Taking taylor expansion of -1/2 in y 0.605 * [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 0.605 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.605 * [taylor]: Taking taylor expansion of 1/4 in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.606 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.606 * [taylor]: Taking taylor expansion of z in y 0.606 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.606 * [taylor]: Taking taylor expansion of 1/2 in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.606 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.606 * [taylor]: Taking taylor expansion of z in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.607 * [taylor]: Taking taylor expansion of 1/4 in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.607 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of 0 in z 0.619 * [taylor]: Taking taylor expansion of 0 in z 0.622 * [taylor]: Taking taylor expansion of 0 in z 0.622 * [taylor]: Taking taylor expansion of 0 in z 0.622 * [taylor]: Taking taylor expansion of 0 in z 0.624 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 0.624 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 0.625 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.625 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z 0.625 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.625 * [taylor]: Taking taylor expansion of x in z 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.625 * [taylor]: Taking taylor expansion of y in z 0.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.627 * [taylor]: Taking taylor expansion of x in z 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.627 * [taylor]: Taking taylor expansion of y in z 0.628 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.628 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.628 * [taylor]: Taking taylor expansion of -1 in z 0.628 * [taylor]: Taking taylor expansion of z in z 0.629 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.629 * [taylor]: Taking taylor expansion of -1 in z 0.629 * [taylor]: Taking taylor expansion of z in z 0.632 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 0.632 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.632 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y 0.632 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.632 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.632 * [taylor]: Taking taylor expansion of x in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.636 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.639 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.639 * [taylor]: Taking taylor expansion of -1 in y 0.639 * [taylor]: Taking taylor expansion of z in y 0.639 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.639 * [taylor]: Taking taylor expansion of -1 in y 0.639 * [taylor]: Taking taylor expansion of z in y 0.641 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.641 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.641 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 0.641 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.647 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of z in x 0.647 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.648 * [taylor]: Taking taylor expansion of z in x 0.649 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.650 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.650 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 0.650 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.656 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.656 * [taylor]: Taking taylor expansion of -1 in x 0.656 * [taylor]: Taking taylor expansion of z in x 0.656 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.656 * [taylor]: Taking taylor expansion of -1 in x 0.656 * [taylor]: Taking taylor expansion of z in x 0.658 * [taylor]: Taking taylor expansion of 1 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 1 in z 0.665 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.665 * [taylor]: Taking taylor expansion of 1/2 in y 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.665 * [taylor]: Taking taylor expansion of z in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of 0 in z 0.668 * [taylor]: Taking taylor expansion of 0 in z 0.668 * [taylor]: Taking taylor expansion of 0 in z 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.676 * [taylor]: Taking taylor expansion of 1/2 in z 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.676 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.676 * [taylor]: Taking taylor expansion of z in z 0.678 * [taylor]: Taking taylor expansion of 0 in z 0.678 * [taylor]: Taking taylor expansion of 0 in z 0.695 * [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 0.695 * [taylor]: Taking taylor expansion of -1/2 in y 0.695 * [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 0.695 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.695 * [taylor]: Taking taylor expansion of 1/4 in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.695 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.695 * [taylor]: Taking taylor expansion of z in y 0.695 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.695 * [taylor]: Taking taylor expansion of 1/2 in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.695 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.695 * [taylor]: Taking taylor expansion of z in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.696 * [taylor]: Taking taylor expansion of 1/4 in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.696 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of 0 in z 0.709 * [taylor]: Taking taylor expansion of 0 in z 0.712 * [taylor]: Taking taylor expansion of 0 in z 0.712 * [taylor]: Taking taylor expansion of 0 in z 0.712 * [taylor]: Taking taylor expansion of 0 in z 0.714 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.714 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.714 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [taylor]: Taking taylor expansion of 1 in y 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.720 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of 1 in y 0.725 * [taylor]: Taking taylor expansion of 0 in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of 1 in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.748 * * * [progress]: simplifying candidates 0.749 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.754 * * [simplify]: iteration 0 : 152 enodes (cost 254 ) 0.759 * * [simplify]: iteration 1 : 617 enodes (cost 227 ) 0.771 * * [simplify]: iteration 2 : 1802 enodes (cost 223 ) 0.819 * * [simplify]: iteration 3 : 5002 enodes (cost 221 ) 0.821 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (fma z z (fma x x (* y y))) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (pow (hypot (sqrt (+ (* x x) (* y y))) z) 3) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) z x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.821 * * * [progress]: adding candidates to table 0.979 * * [progress]: iteration 3 / 4 0.979 * * * [progress]: picking best candidate 0.989 * * * * [pick]: Picked # 0.989 * * * [progress]: localizing error 0.994 * * * [progress]: generating rewritten candidates 0.994 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.995 * * * [progress]: generating series expansions 0.995 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.995 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 0.995 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 0.996 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.996 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 0.996 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 0.996 * [taylor]: Taking taylor expansion of (hypot x y) in z 0.996 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.996 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 0.996 * [taylor]: Taking taylor expansion of (* x x) in z 0.996 * [taylor]: Taking taylor expansion of x in z 0.996 * [taylor]: Taking taylor expansion of x in z 0.996 * [taylor]: Taking taylor expansion of (* y y) in z 0.996 * [taylor]: Taking taylor expansion of y in z 0.996 * [taylor]: Taking taylor expansion of y in z 0.997 * [taylor]: Taking taylor expansion of (hypot x y) in z 0.997 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.997 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 0.997 * [taylor]: Taking taylor expansion of (* x x) in z 0.997 * [taylor]: Taking taylor expansion of x in z 0.997 * [taylor]: Taking taylor expansion of x in z 0.998 * [taylor]: Taking taylor expansion of (* y y) in z 0.998 * [taylor]: Taking taylor expansion of y in z 0.998 * [taylor]: Taking taylor expansion of y in z 0.999 * [taylor]: Taking taylor expansion of (* z z) in z 0.999 * [taylor]: Taking taylor expansion of z in z 0.999 * [taylor]: Taking taylor expansion of z in z 1.001 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.002 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.002 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.002 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.002 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.002 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.002 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.002 * [taylor]: Taking taylor expansion of (* x x) in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.002 * [taylor]: Taking taylor expansion of (* y y) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.004 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.004 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.004 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.004 * [taylor]: Taking taylor expansion of (* x x) in y 1.004 * [taylor]: Taking taylor expansion of x in y 1.004 * [taylor]: Taking taylor expansion of x in y 1.004 * [taylor]: Taking taylor expansion of (* y y) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (* z z) in y 1.006 * [taylor]: Taking taylor expansion of z in y 1.006 * [taylor]: Taking taylor expansion of z in y 1.007 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.007 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.007 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.007 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.007 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.007 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.007 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.007 * [taylor]: Taking taylor expansion of (* x x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (* y y) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.009 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.009 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.009 * [taylor]: Taking taylor expansion of (* x x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (* y y) in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.011 * [taylor]: Taking taylor expansion of (* z z) in x 1.011 * [taylor]: Taking taylor expansion of z in x 1.011 * [taylor]: Taking taylor expansion of z in x 1.012 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.012 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.012 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.012 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.012 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.013 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.013 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.013 * [taylor]: Taking taylor expansion of (* x x) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (* y y) in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.014 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.015 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.015 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.015 * [taylor]: Taking taylor expansion of (* x x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (* y y) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of (* z z) in x 1.016 * [taylor]: Taking taylor expansion of z in x 1.016 * [taylor]: Taking taylor expansion of z in x 1.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.018 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.018 * [taylor]: Taking taylor expansion of z in y 1.019 * [taylor]: Taking taylor expansion of z in z 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.019 * [taylor]: Taking taylor expansion of 0 in z 1.019 * [taylor]: Taking taylor expansion of 0 in z 1.024 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.024 * [taylor]: Taking taylor expansion of 1/2 in y 1.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.024 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.024 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.024 * [taylor]: Taking taylor expansion of z in y 1.025 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.025 * [taylor]: Taking taylor expansion of 1/2 in z 1.026 * [taylor]: Taking taylor expansion of z in z 1.027 * [taylor]: Taking taylor expansion of 0 in z 1.028 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.028 * [taylor]: Taking taylor expansion of 1/2 in z 1.028 * [taylor]: Taking taylor expansion of z in z 1.030 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.030 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.030 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.030 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.030 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.030 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.030 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.030 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.031 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.031 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.031 * [taylor]: Taking taylor expansion of x in z 1.031 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.031 * [taylor]: Taking taylor expansion of x in z 1.031 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.031 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.031 * [taylor]: Taking taylor expansion of y in z 1.031 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.031 * [taylor]: Taking taylor expansion of y in z 1.032 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.032 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.032 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.032 * [taylor]: Taking taylor expansion of x in z 1.033 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.033 * [taylor]: Taking taylor expansion of x in z 1.033 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.033 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.033 * [taylor]: Taking taylor expansion of y in z 1.033 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.033 * [taylor]: Taking taylor expansion of y in z 1.034 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.034 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.034 * [taylor]: Taking taylor expansion of z in z 1.035 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.035 * [taylor]: Taking taylor expansion of z in z 1.038 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.038 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.038 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.038 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.038 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.039 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.039 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.039 * [taylor]: Taking taylor expansion of x in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.039 * [taylor]: Taking taylor expansion of x in y 1.039 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.043 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.043 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.043 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.043 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.046 * [taylor]: Taking taylor expansion of z in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.047 * [taylor]: Taking taylor expansion of z in y 1.049 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.049 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.049 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.049 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.049 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.049 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.049 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.049 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.050 * [taylor]: Taking taylor expansion of y in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.050 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.053 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.053 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.057 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.057 * [taylor]: Taking taylor expansion of z in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.057 * [taylor]: Taking taylor expansion of z in x 1.059 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.059 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.059 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.059 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.059 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.059 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.059 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.063 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.063 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.063 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.063 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.067 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.067 * [taylor]: Taking taylor expansion of z in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.067 * [taylor]: Taking taylor expansion of z in x 1.069 * [taylor]: Taking taylor expansion of 1 in y 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.069 * [taylor]: Taking taylor expansion of 1 in z 1.077 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.077 * [taylor]: Taking taylor expansion of 1/2 in y 1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.077 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.077 * [taylor]: Taking taylor expansion of z in y 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.079 * [taylor]: Taking taylor expansion of 0 in z 1.079 * [taylor]: Taking taylor expansion of 0 in z 1.080 * [taylor]: Taking taylor expansion of 0 in z 1.087 * [taylor]: Taking taylor expansion of 0 in y 1.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.089 * [taylor]: Taking taylor expansion of 1/2 in z 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.089 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.089 * [taylor]: Taking taylor expansion of z in z 1.091 * [taylor]: Taking taylor expansion of 0 in z 1.091 * [taylor]: Taking taylor expansion of 0 in z 1.108 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.108 * [taylor]: Taking taylor expansion of -1/2 in y 1.108 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.108 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.108 * [taylor]: Taking taylor expansion of 1/4 in y 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.109 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.109 * [taylor]: Taking taylor expansion of z in y 1.109 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.109 * [taylor]: Taking taylor expansion of 1/2 in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.109 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.109 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.109 * [taylor]: Taking taylor expansion of z in y 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.110 * [taylor]: Taking taylor expansion of 1/4 in y 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.110 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of 0 in z 1.122 * [taylor]: Taking taylor expansion of 0 in z 1.125 * [taylor]: Taking taylor expansion of 0 in z 1.125 * [taylor]: Taking taylor expansion of 0 in z 1.125 * [taylor]: Taking taylor expansion of 0 in z 1.127 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 1.127 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 1.127 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.127 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 1.127 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 1.127 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.128 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.128 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.128 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.128 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.128 * [taylor]: Taking taylor expansion of -1 in z 1.128 * [taylor]: Taking taylor expansion of x in z 1.128 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.128 * [taylor]: Taking taylor expansion of -1 in z 1.128 * [taylor]: Taking taylor expansion of x in z 1.128 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.128 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.128 * [taylor]: Taking taylor expansion of -1 in z 1.128 * [taylor]: Taking taylor expansion of y in z 1.128 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.128 * [taylor]: Taking taylor expansion of -1 in z 1.128 * [taylor]: Taking taylor expansion of y in z 1.129 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.130 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.130 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.130 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.130 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.130 * [taylor]: Taking taylor expansion of -1 in z 1.130 * [taylor]: Taking taylor expansion of x in z 1.130 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.130 * [taylor]: Taking taylor expansion of -1 in z 1.130 * [taylor]: Taking taylor expansion of x in z 1.130 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.130 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.130 * [taylor]: Taking taylor expansion of -1 in z 1.130 * [taylor]: Taking taylor expansion of y in z 1.130 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.130 * [taylor]: Taking taylor expansion of -1 in z 1.130 * [taylor]: Taking taylor expansion of y in z 1.132 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.132 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.132 * [taylor]: Taking taylor expansion of -1 in z 1.132 * [taylor]: Taking taylor expansion of z in z 1.132 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.132 * [taylor]: Taking taylor expansion of -1 in z 1.132 * [taylor]: Taking taylor expansion of z in z 1.136 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.136 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.136 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.136 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.136 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.136 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.136 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.136 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.136 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.136 * [taylor]: Taking taylor expansion of -1 in y 1.136 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.136 * [taylor]: Taking taylor expansion of -1 in y 1.136 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.136 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.136 * [taylor]: Taking taylor expansion of -1 in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.137 * [taylor]: Taking taylor expansion of -1 in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.140 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.141 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.141 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.141 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.141 * [taylor]: Taking taylor expansion of -1 in y 1.141 * [taylor]: Taking taylor expansion of x in y 1.141 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.141 * [taylor]: Taking taylor expansion of -1 in y 1.141 * [taylor]: Taking taylor expansion of x in y 1.141 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.141 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.141 * [taylor]: Taking taylor expansion of -1 in y 1.141 * [taylor]: Taking taylor expansion of y in y 1.141 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.141 * [taylor]: Taking taylor expansion of -1 in y 1.141 * [taylor]: Taking taylor expansion of y in y 1.144 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.145 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.145 * [taylor]: Taking taylor expansion of -1 in y 1.145 * [taylor]: Taking taylor expansion of z in y 1.145 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.145 * [taylor]: Taking taylor expansion of -1 in y 1.145 * [taylor]: Taking taylor expansion of z in y 1.147 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.147 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.147 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.147 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.147 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.147 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.147 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.147 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.147 * [taylor]: Taking taylor expansion of -1 in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.148 * [taylor]: Taking taylor expansion of -1 in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.148 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.148 * [taylor]: Taking taylor expansion of -1 in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.148 * [taylor]: Taking taylor expansion of -1 in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.151 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.151 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.151 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.152 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.152 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of y in x 1.152 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.153 * [taylor]: Taking taylor expansion of -1 in x 1.153 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.156 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.156 * [taylor]: Taking taylor expansion of -1 in x 1.156 * [taylor]: Taking taylor expansion of z in x 1.156 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.156 * [taylor]: Taking taylor expansion of -1 in x 1.156 * [taylor]: Taking taylor expansion of z in x 1.158 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.158 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.158 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.158 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.158 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.158 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.158 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.158 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.158 * [taylor]: Taking taylor expansion of -1 in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.159 * [taylor]: Taking taylor expansion of -1 in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.159 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.159 * [taylor]: Taking taylor expansion of -1 in x 1.159 * [taylor]: Taking taylor expansion of y in x 1.159 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.159 * [taylor]: Taking taylor expansion of -1 in x 1.159 * [taylor]: Taking taylor expansion of y in x 1.162 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.163 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.163 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.163 * [taylor]: Taking taylor expansion of -1 in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.163 * [taylor]: Taking taylor expansion of -1 in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.164 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.164 * [taylor]: Taking taylor expansion of -1 in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.164 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.164 * [taylor]: Taking taylor expansion of -1 in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.167 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.167 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.167 * [taylor]: Taking taylor expansion of -1 in x 1.167 * [taylor]: Taking taylor expansion of z in x 1.167 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.167 * [taylor]: Taking taylor expansion of -1 in x 1.167 * [taylor]: Taking taylor expansion of z in x 1.169 * [taylor]: Taking taylor expansion of 1 in y 1.169 * [taylor]: Taking taylor expansion of 0 in y 1.169 * [taylor]: Taking taylor expansion of 1 in z 1.177 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.177 * [taylor]: Taking taylor expansion of 1/2 in y 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.177 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.177 * [taylor]: Taking taylor expansion of z in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.180 * [taylor]: Taking taylor expansion of 0 in z 1.180 * [taylor]: Taking taylor expansion of 0 in z 1.180 * [taylor]: Taking taylor expansion of 0 in z 1.188 * [taylor]: Taking taylor expansion of 0 in y 1.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.191 * [taylor]: Taking taylor expansion of 1/2 in z 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.191 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.191 * [taylor]: Taking taylor expansion of z in z 1.193 * [taylor]: Taking taylor expansion of 0 in z 1.193 * [taylor]: Taking taylor expansion of 0 in z 1.211 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.211 * [taylor]: Taking taylor expansion of -1/2 in y 1.211 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.212 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.212 * [taylor]: Taking taylor expansion of 1/4 in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.212 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.212 * [taylor]: Taking taylor expansion of z in y 1.212 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.212 * [taylor]: Taking taylor expansion of 1/2 in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.212 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.212 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.212 * [taylor]: Taking taylor expansion of z in y 1.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.213 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.213 * [taylor]: Taking taylor expansion of 1/4 in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.213 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.213 * [taylor]: Taking taylor expansion of y in y 1.225 * [taylor]: Taking taylor expansion of 0 in z 1.225 * [taylor]: Taking taylor expansion of 0 in z 1.228 * [taylor]: Taking taylor expansion of 0 in z 1.228 * [taylor]: Taking taylor expansion of 0 in z 1.228 * [taylor]: Taking taylor expansion of 0 in z 1.230 * * * [progress]: simplifying candidates 1.230 * [simplify]: Simplifying using # : (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (+ (* (hypot x y) (hypot x y)) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) z x (* -1 x) 1.234 * * [simplify]: iteration 0 : 24 enodes (cost 41 ) 1.237 * * [simplify]: iteration 1 : 27 enodes (cost 36 ) 1.239 * * [simplify]: iteration 2 : 31 enodes (cost 36 ) 1.243 * * [simplify]: iteration 3 : 36 enodes (cost 36 ) 1.245 * * [simplify]: iteration 4 : 55 enodes (cost 36 ) 1.249 * * [simplify]: iteration 5 : 109 enodes (cost 36 ) 1.256 * * [simplify]: iteration 6 : 515 enodes (cost 36 ) 1.275 * * [simplify]: iteration 7 : 1689 enodes (cost 36 ) 1.351 * * [simplify]: iteration 8 : 5001 enodes (cost 36 ) 1.352 * [simplify]: Simplified to: (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma (hypot x y) (hypot x y) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) z x (* -1 x) 1.352 * * * [progress]: adding candidates to table 1.390 * * [progress]: iteration 4 / 4 1.390 * * * [progress]: picking best candidate 1.393 * * * * [pick]: Picked # 1.393 * * * [progress]: localizing error 1.413 * * * [progress]: generating rewritten candidates 1.413 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.472 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.475 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.477 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.480 * * * [progress]: generating series expansions 1.481 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.481 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 1.481 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.481 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.481 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.481 * [taylor]: Taking taylor expansion of x in z 1.481 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.481 * [taylor]: Taking taylor expansion of y in z 1.481 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.481 * [taylor]: Taking taylor expansion of z in z 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.483 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.483 * [taylor]: Taking taylor expansion of x in y 1.483 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.483 * [taylor]: Taking taylor expansion of y in y 1.483 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.483 * [taylor]: Taking taylor expansion of z in y 1.485 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.485 * [taylor]: Taking taylor expansion of y in x 1.485 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.485 * [taylor]: Taking taylor expansion of z in x 1.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.487 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.487 * [taylor]: Taking taylor expansion of y in x 1.487 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.487 * [taylor]: Taking taylor expansion of z in x 1.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.488 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.488 * [taylor]: Taking taylor expansion of y in y 1.488 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.489 * [taylor]: Taking taylor expansion of z in y 1.489 * [taylor]: Taking taylor expansion of z in z 1.489 * [taylor]: Taking taylor expansion of 0 in y 1.489 * [taylor]: Taking taylor expansion of 0 in z 1.489 * [taylor]: Taking taylor expansion of 0 in z 1.496 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.496 * [taylor]: Taking taylor expansion of 1/2 in y 1.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.496 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.497 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.497 * [taylor]: Taking taylor expansion of y in y 1.497 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.497 * [taylor]: Taking taylor expansion of z in y 1.498 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.498 * [taylor]: Taking taylor expansion of 1/2 in z 1.498 * [taylor]: Taking taylor expansion of z in z 1.499 * [taylor]: Taking taylor expansion of 0 in z 1.501 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.501 * [taylor]: Taking taylor expansion of 1/2 in z 1.501 * [taylor]: Taking taylor expansion of z in z 1.503 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.503 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.503 * [taylor]: Taking taylor expansion of x in z 1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.503 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.503 * [taylor]: Taking taylor expansion of z in z 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.504 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.504 * [taylor]: Taking taylor expansion of y in z 1.507 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.507 * [taylor]: Taking taylor expansion of x in y 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.507 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.507 * [taylor]: Taking taylor expansion of z in y 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.507 * [taylor]: Taking taylor expansion of y in y 1.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.512 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.512 * [taylor]: Taking taylor expansion of z in x 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.512 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.512 * [taylor]: Taking taylor expansion of y in x 1.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.516 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.516 * [taylor]: Taking taylor expansion of z in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.518 * [taylor]: Taking taylor expansion of 1 in y 1.518 * [taylor]: Taking taylor expansion of 0 in y 1.518 * [taylor]: Taking taylor expansion of 1 in z 1.521 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.521 * [taylor]: Taking taylor expansion of 1/2 in y 1.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.521 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.522 * [taylor]: Taking taylor expansion of z in y 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.522 * [taylor]: Taking taylor expansion of y in y 1.524 * [taylor]: Taking taylor expansion of 0 in z 1.524 * [taylor]: Taking taylor expansion of 0 in z 1.524 * [taylor]: Taking taylor expansion of 0 in z 1.527 * [taylor]: Taking taylor expansion of 0 in y 1.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.530 * [taylor]: Taking taylor expansion of 1/2 in z 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.530 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.530 * [taylor]: Taking taylor expansion of z in z 1.532 * [taylor]: Taking taylor expansion of 0 in z 1.532 * [taylor]: Taking taylor expansion of 0 in z 1.536 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.536 * [taylor]: Taking taylor expansion of -1/2 in y 1.536 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.536 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.536 * [taylor]: Taking taylor expansion of 1/4 in y 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.536 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.536 * [taylor]: Taking taylor expansion of z in y 1.537 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.537 * [taylor]: Taking taylor expansion of 1/2 in y 1.537 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.537 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.537 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.537 * [taylor]: Taking taylor expansion of z in y 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.537 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.537 * [taylor]: Taking taylor expansion of 1/4 in y 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.537 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.538 * [taylor]: Taking taylor expansion of y in y 1.550 * [taylor]: Taking taylor expansion of 0 in z 1.550 * [taylor]: Taking taylor expansion of 0 in z 1.553 * [taylor]: Taking taylor expansion of 0 in z 1.553 * [taylor]: Taking taylor expansion of 0 in z 1.553 * [taylor]: Taking taylor expansion of 0 in z 1.556 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.556 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.556 * [taylor]: Taking taylor expansion of x in z 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.556 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.556 * [taylor]: Taking taylor expansion of z in z 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.557 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.557 * [taylor]: Taking taylor expansion of y in z 1.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.560 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.560 * [taylor]: Taking taylor expansion of x in y 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.560 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.560 * [taylor]: Taking taylor expansion of z in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.565 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.565 * [taylor]: Taking taylor expansion of z in x 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.566 * [taylor]: Taking taylor expansion of y in x 1.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.569 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.569 * [taylor]: Taking taylor expansion of z in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.569 * [taylor]: Taking taylor expansion of y in x 1.572 * [taylor]: Taking taylor expansion of 1 in y 1.572 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [taylor]: Taking taylor expansion of 1 in z 1.575 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.575 * [taylor]: Taking taylor expansion of 1/2 in y 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.575 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.575 * [taylor]: Taking taylor expansion of z in y 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.575 * [taylor]: Taking taylor expansion of y in y 1.578 * [taylor]: Taking taylor expansion of 0 in z 1.578 * [taylor]: Taking taylor expansion of 0 in z 1.578 * [taylor]: Taking taylor expansion of 0 in z 1.581 * [taylor]: Taking taylor expansion of 0 in y 1.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.583 * [taylor]: Taking taylor expansion of 1/2 in z 1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.583 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.583 * [taylor]: Taking taylor expansion of z in z 1.585 * [taylor]: Taking taylor expansion of 0 in z 1.585 * [taylor]: Taking taylor expansion of 0 in z 1.590 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.590 * [taylor]: Taking taylor expansion of -1/2 in y 1.590 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.590 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.590 * [taylor]: Taking taylor expansion of 1/4 in y 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.590 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.590 * [taylor]: Taking taylor expansion of z in y 1.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.591 * [taylor]: Taking taylor expansion of 1/2 in y 1.591 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.591 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.591 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.591 * [taylor]: Taking taylor expansion of z in y 1.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.591 * [taylor]: Taking taylor expansion of y in y 1.591 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.591 * [taylor]: Taking taylor expansion of 1/4 in y 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.591 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.591 * [taylor]: Taking taylor expansion of y in y 1.611 * [taylor]: Taking taylor expansion of 0 in z 1.611 * [taylor]: Taking taylor expansion of 0 in z 1.614 * [taylor]: Taking taylor expansion of 0 in z 1.614 * [taylor]: Taking taylor expansion of 0 in z 1.614 * [taylor]: Taking taylor expansion of 0 in z 1.616 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.616 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.616 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.616 * [taylor]: Taking taylor expansion of 1/3 in y 1.616 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.616 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.616 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.616 * [taylor]: Taking taylor expansion of x in y 1.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.617 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.617 * [taylor]: Taking taylor expansion of 1/3 in x 1.617 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.617 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.617 * [taylor]: Taking taylor expansion of y in x 1.617 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.618 * [taylor]: Taking taylor expansion of 1/3 in x 1.618 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.618 * [taylor]: Taking taylor expansion of y in x 1.618 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.618 * [taylor]: Taking taylor expansion of 1/3 in y 1.618 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.618 * [taylor]: Taking taylor expansion of y in y 1.622 * [taylor]: Taking taylor expansion of 0 in y 1.628 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.628 * [taylor]: Taking taylor expansion of 1/3 in y 1.629 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.629 * [taylor]: Taking taylor expansion of 1/3 in y 1.629 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.629 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.629 * [taylor]: Taking taylor expansion of y in y 1.641 * [taylor]: Taking taylor expansion of 0 in y 1.652 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.652 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.652 * [taylor]: Taking taylor expansion of 1/3 in y 1.652 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.652 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.652 * [taylor]: Taking taylor expansion of x in y 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.652 * [taylor]: Taking taylor expansion of y in y 1.654 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.654 * [taylor]: Taking taylor expansion of 1/3 in x 1.654 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.655 * [taylor]: Taking taylor expansion of y in x 1.656 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.656 * [taylor]: Taking taylor expansion of 1/3 in x 1.656 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.657 * [taylor]: Taking taylor expansion of y in x 1.658 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.659 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.659 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.659 * [taylor]: Taking taylor expansion of -2/3 in y 1.659 * [taylor]: Taking taylor expansion of (log x) in y 1.659 * [taylor]: Taking taylor expansion of x in y 1.662 * [taylor]: Taking taylor expansion of 0 in y 1.669 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.669 * [taylor]: Taking taylor expansion of 1/3 in y 1.669 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.669 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.669 * [taylor]: Taking taylor expansion of 1/3 in y 1.669 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.669 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.669 * [taylor]: Taking taylor expansion of x in y 1.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.670 * [taylor]: Taking taylor expansion of y in y 1.692 * [taylor]: Taking taylor expansion of 0 in y 1.693 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.693 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.693 * [taylor]: Taking taylor expansion of 1/3 in y 1.693 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.693 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.693 * [taylor]: Taking taylor expansion of x in y 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.693 * [taylor]: Taking taylor expansion of y in y 1.695 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.695 * [taylor]: Taking taylor expansion of 1/3 in x 1.695 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.696 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.696 * [taylor]: Taking taylor expansion of y in x 1.697 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.697 * [taylor]: Taking taylor expansion of 1/3 in x 1.697 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.698 * [taylor]: Taking taylor expansion of x in x 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.698 * [taylor]: Taking taylor expansion of y in x 1.699 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.700 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.700 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.700 * [taylor]: Taking taylor expansion of -2/3 in y 1.700 * [taylor]: Taking taylor expansion of (log x) in y 1.700 * [taylor]: Taking taylor expansion of x in y 1.703 * [taylor]: Taking taylor expansion of 0 in y 1.709 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.709 * [taylor]: Taking taylor expansion of 1/3 in y 1.709 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.710 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.710 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.710 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.710 * [taylor]: Taking taylor expansion of 1/3 in y 1.710 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.710 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.710 * [taylor]: Taking taylor expansion of x in y 1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.710 * [taylor]: Taking taylor expansion of y in y 1.739 * [taylor]: Taking taylor expansion of 0 in y 1.740 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.740 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.740 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.740 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.740 * [taylor]: Taking taylor expansion of 1/3 in y 1.740 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.740 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.740 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.740 * [taylor]: Taking taylor expansion of x in y 1.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.740 * [taylor]: Taking taylor expansion of y in y 1.740 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.740 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.740 * [taylor]: Taking taylor expansion of 1/3 in x 1.740 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.740 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.741 * [taylor]: Taking taylor expansion of y in x 1.741 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.741 * [taylor]: Taking taylor expansion of 1/3 in x 1.741 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.741 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.741 * [taylor]: Taking taylor expansion of y in x 1.741 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.741 * [taylor]: Taking taylor expansion of 1/3 in y 1.741 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.741 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of 0 in y 1.752 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.752 * [taylor]: Taking taylor expansion of 1/3 in y 1.752 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.752 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.752 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.752 * [taylor]: Taking taylor expansion of 1/3 in y 1.752 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.752 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.752 * [taylor]: Taking taylor expansion of y in y 1.765 * [taylor]: Taking taylor expansion of 0 in y 1.776 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.776 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.776 * [taylor]: Taking taylor expansion of 1/3 in y 1.776 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.776 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.776 * [taylor]: Taking taylor expansion of x in y 1.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.776 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.776 * [taylor]: Taking taylor expansion of y in y 1.778 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.778 * [taylor]: Taking taylor expansion of 1/3 in x 1.778 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.779 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.779 * [taylor]: Taking taylor expansion of y in x 1.780 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.780 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.780 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.780 * [taylor]: Taking taylor expansion of 1/3 in x 1.780 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.781 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.781 * [taylor]: Taking taylor expansion of y in x 1.782 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.782 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.782 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.782 * [taylor]: Taking taylor expansion of -2/3 in y 1.782 * [taylor]: Taking taylor expansion of (log x) in y 1.782 * [taylor]: Taking taylor expansion of x in y 1.786 * [taylor]: Taking taylor expansion of 0 in y 1.792 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.792 * [taylor]: Taking taylor expansion of 1/3 in y 1.792 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.792 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.792 * [taylor]: Taking taylor expansion of 1/3 in y 1.792 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.792 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.792 * [taylor]: Taking taylor expansion of x in y 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.792 * [taylor]: Taking taylor expansion of y in y 1.813 * [taylor]: Taking taylor expansion of 0 in y 1.813 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.814 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.814 * [taylor]: Taking taylor expansion of 1/3 in y 1.814 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.814 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.814 * [taylor]: Taking taylor expansion of x in y 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.814 * [taylor]: Taking taylor expansion of y in y 1.816 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.816 * [taylor]: Taking taylor expansion of 1/3 in x 1.816 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.817 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.817 * [taylor]: Taking taylor expansion of y in x 1.818 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.818 * [taylor]: Taking taylor expansion of 1/3 in x 1.818 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.819 * [taylor]: Taking taylor expansion of y in x 1.820 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.820 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.820 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.820 * [taylor]: Taking taylor expansion of -2/3 in y 1.820 * [taylor]: Taking taylor expansion of (log x) in y 1.821 * [taylor]: Taking taylor expansion of x in y 1.824 * [taylor]: Taking taylor expansion of 0 in y 1.830 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.830 * [taylor]: Taking taylor expansion of 1/3 in y 1.830 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.830 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.830 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.830 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.830 * [taylor]: Taking taylor expansion of 1/3 in y 1.830 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.830 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.831 * [taylor]: Taking taylor expansion of x in y 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.831 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of 0 in y 1.862 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.863 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.863 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.863 * [taylor]: Taking taylor expansion of 1/3 in y 1.863 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.863 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.863 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.863 * [taylor]: Taking taylor expansion of x in y 1.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.863 * [taylor]: Taking taylor expansion of y in y 1.863 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.863 * [taylor]: Taking taylor expansion of 1/3 in x 1.863 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.863 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.863 * [taylor]: Taking taylor expansion of y in x 1.864 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.864 * [taylor]: Taking taylor expansion of 1/3 in x 1.864 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.864 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.864 * [taylor]: Taking taylor expansion of y in x 1.864 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.864 * [taylor]: Taking taylor expansion of 1/3 in y 1.864 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.865 * [taylor]: Taking taylor expansion of y in y 1.868 * [taylor]: Taking taylor expansion of 0 in y 1.875 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.875 * [taylor]: Taking taylor expansion of 1/3 in y 1.875 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.875 * [taylor]: Taking taylor expansion of 1/3 in y 1.875 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.875 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.875 * [taylor]: Taking taylor expansion of y in y 1.888 * [taylor]: Taking taylor expansion of 0 in y 1.898 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.898 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.898 * [taylor]: Taking taylor expansion of 1/3 in y 1.898 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.899 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.899 * [taylor]: Taking taylor expansion of x in y 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.899 * [taylor]: Taking taylor expansion of y in y 1.901 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.901 * [taylor]: Taking taylor expansion of 1/3 in x 1.901 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.902 * [taylor]: Taking taylor expansion of y in x 1.903 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.903 * [taylor]: Taking taylor expansion of 1/3 in x 1.903 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.904 * [taylor]: Taking taylor expansion of y in x 1.905 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.905 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.905 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.905 * [taylor]: Taking taylor expansion of -2/3 in y 1.905 * [taylor]: Taking taylor expansion of (log x) in y 1.905 * [taylor]: Taking taylor expansion of x in y 1.909 * [taylor]: Taking taylor expansion of 0 in y 1.915 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.915 * [taylor]: Taking taylor expansion of 1/3 in y 1.915 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.915 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.915 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.915 * [taylor]: Taking taylor expansion of 1/3 in y 1.915 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.915 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.916 * [taylor]: Taking taylor expansion of x in y 1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.916 * [taylor]: Taking taylor expansion of y in y 1.937 * [taylor]: Taking taylor expansion of 0 in y 1.937 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.937 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.937 * [taylor]: Taking taylor expansion of 1/3 in y 1.937 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.937 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.937 * [taylor]: Taking taylor expansion of x in y 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.937 * [taylor]: Taking taylor expansion of y in y 1.939 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.939 * [taylor]: Taking taylor expansion of 1/3 in x 1.939 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.940 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.940 * [taylor]: Taking taylor expansion of y in x 1.941 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.941 * [taylor]: Taking taylor expansion of 1/3 in x 1.941 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.942 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.942 * [taylor]: Taking taylor expansion of y in x 1.943 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.943 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.944 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.944 * [taylor]: Taking taylor expansion of -2/3 in y 1.944 * [taylor]: Taking taylor expansion of (log x) in y 1.944 * [taylor]: Taking taylor expansion of x in y 1.947 * [taylor]: Taking taylor expansion of 0 in y 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.203 * [taylor]: Taking taylor expansion of 1/3 in y 2.203 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.203 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.203 * [taylor]: Taking taylor expansion of 1/3 in y 2.203 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.203 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.203 * [taylor]: Taking taylor expansion of x in y 2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.203 * [taylor]: Taking taylor expansion of y in y 2.226 * [taylor]: Taking taylor expansion of 0 in y 2.226 * * * [progress]: simplifying candidates 2.227 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (log1p (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (log (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (exp (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (* (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (* (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (sqrt (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt 1) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (sqrt (+ (pow (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) 3) (pow (* z z) 3))) (sqrt (+ (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (- (* (* z z) (* z z)) (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (sqrt (- (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (* (* z z) (* z z)))) (sqrt (- (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (/ 1 2) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (expm1 (cbrt (+ (* x x) (* y y)))) (log1p (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (expm1 (cbrt (+ (* x x) (* y y)))) (log1p (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (expm1 (cbrt (+ (* x x) (* y y)))) (log1p (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) z x (* -1 x) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) 2.235 * * [simplify]: iteration 0 : 217 enodes (cost 804 ) 2.242 * * [simplify]: iteration 1 : 707 enodes (cost 748 ) 2.262 * * [simplify]: iteration 2 : 2443 enodes (cost 726 ) 2.319 * * [simplify]: iteration 3 : 5002 enodes (cost 716 ) 2.324 * [simplify]: Simplified to: (expm1 (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (log1p (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (log (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (exp (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) 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y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (fma x x (* y y)) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (expm1 (cbrt (+ (* x x) (* y y)))) (log1p (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (fma x x (* y y)) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) z x (* -1 x) (fma (* 1/3 (pow x 2)) (pow (/ 1 (pow y 4)) 1/3) (pow y 2/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (fma (* 1/3 (pow x 2)) (pow (/ 1 (pow y 4)) 1/3) (pow y 2/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (fma (* 1/3 (pow x 2)) (pow (/ 1 (pow y 4)) 1/3) (pow y 2/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) 2.324 * * * [progress]: adding candidates to table 2.622 * [progress]: [Phase 3 of 3] Extracting. 2.622 * * [regime]: Finding splitpoints for: (# #) 2.623 * * * [regime-changes]: Trying 7 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) z y x) 2.623 * * * * [regimes]: Trying to branch on (* z z) from (# #) 2.637 * * * * [regimes]: Trying to branch on (* y y) from (# #) 2.654 * * * * [regimes]: Trying to branch on (* x x) from (# #) 2.668 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 2.683 * * * * [regimes]: Trying to branch on z from (# #) 2.700 * * * * [regimes]: Trying to branch on y from (# #) 2.715 * * * * [regimes]: Trying to branch on x from (# #) 2.730 * * * [regime]: Found split indices: #