14.190 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.025 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.028 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.030 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.033 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.035 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.036 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.053 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.060 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.069 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.069 * [taylor]: Taking taylor expansion of x in z 0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.069 * [taylor]: Taking taylor expansion of y in z 0.069 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.069 * [taylor]: Taking taylor expansion of z in z 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.071 * [taylor]: Taking taylor expansion of z in y 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.072 * [taylor]: Taking taylor expansion of z in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.073 * [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 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.074 * [taylor]: Taking taylor expansion of z in x 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.075 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.075 * [taylor]: Taking taylor expansion of z in y 0.076 * [taylor]: Taking taylor expansion of z in z 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in z 0.076 * [taylor]: Taking taylor expansion of 0 in z 0.079 * [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 0.083 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.083 * [taylor]: Taking taylor expansion of 1/2 in z 0.083 * [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 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.085 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.085 * [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 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.089 * [taylor]: Taking taylor expansion of z in y 0.089 * [taylor]: Taking taylor expansion of (/ 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 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.092 * [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 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [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 0.100 * [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 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [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 0.116 * [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 0.116 * [taylor]: Taking taylor expansion of -1/2 in y 0.116 * [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 0.116 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.116 * [taylor]: Taking taylor expansion of 1/4 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.116 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.116 * [taylor]: Taking taylor expansion of z in y 0.116 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.116 * [taylor]: Taking taylor expansion of 1/2 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.116 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.116 * [taylor]: Taking taylor expansion of z in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.117 * [taylor]: Taking taylor expansion of 1/4 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of 0 in z 0.128 * [taylor]: Taking taylor expansion of 0 in z 0.131 * [taylor]: Taking taylor expansion of 0 in z 0.131 * [taylor]: Taking taylor expansion of 0 in z 0.131 * [taylor]: Taking taylor expansion of 0 in z 0.133 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.134 * [taylor]: Taking taylor expansion of x in z 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.134 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.134 * [taylor]: Taking taylor expansion of z in z 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.134 * [taylor]: Taking taylor expansion of y in z 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.138 * [taylor]: Taking taylor expansion of z in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.142 * [taylor]: Taking taylor expansion of z in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.146 * [taylor]: Taking taylor expansion of z in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 1 in z 0.151 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.151 * [taylor]: Taking taylor expansion of 1/2 in y 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.151 * [taylor]: Taking taylor expansion of z in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of 0 in z 0.153 * [taylor]: Taking taylor expansion of 0 in z 0.153 * [taylor]: Taking taylor expansion of 0 in z 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.158 * [taylor]: Taking taylor expansion of 1/2 in z 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.158 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.158 * [taylor]: Taking taylor expansion of z in z 0.160 * [taylor]: Taking taylor expansion of 0 in z 0.160 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [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 0.164 * [taylor]: Taking taylor expansion of -1/2 in y 0.165 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.165 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.165 * [taylor]: Taking taylor expansion of 1/4 in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.165 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.165 * [taylor]: Taking taylor expansion of z in y 0.165 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.165 * [taylor]: Taking taylor expansion of 1/2 in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.165 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.165 * [taylor]: Taking taylor expansion of z in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.166 * [taylor]: Taking taylor expansion of 1/4 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.186 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.186 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.186 * [taylor]: Taking taylor expansion of x in z 0.186 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.186 * [taylor]: Taking taylor expansion of y in z 0.186 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.186 * [taylor]: Taking taylor expansion of z in z 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.186 * [taylor]: Taking taylor expansion of z in y 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.186 * [taylor]: Taking taylor expansion of z in x 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.186 * [taylor]: Taking taylor expansion of z in x 0.187 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.187 * [taylor]: Taking taylor expansion of z in y 0.187 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.187 * [taylor]: Taking taylor expansion of z in z 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of 0 in z 0.189 * [taylor]: Taking taylor expansion of 0 in z 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of 1 in z 0.190 * [taylor]: Taking taylor expansion of 0 in z 0.191 * [taylor]: Taking taylor expansion of 1 in z 0.192 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.192 * [taylor]: Taking taylor expansion of x in z 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.193 * [taylor]: Taking taylor expansion of z in z 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.193 * [taylor]: Taking taylor expansion of y in z 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.194 * [taylor]: Taking taylor expansion of z in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.195 * [taylor]: Taking taylor expansion of z in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.196 * [taylor]: Taking taylor expansion of z in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of 1 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.200 * [taylor]: Taking taylor expansion of z in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 1 in z 0.201 * [taylor]: Taking taylor expansion of 1 in z 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in z 0.204 * [taylor]: Taking taylor expansion of 0 in z 0.204 * [taylor]: Taking taylor expansion of 0 in z 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.208 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.208 * [taylor]: Taking taylor expansion of z in z 0.209 * [taylor]: Taking taylor expansion of 0 in z 0.209 * [taylor]: Taking taylor expansion of 0 in z 0.210 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.210 * [taylor]: Taking taylor expansion of x in z 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.210 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.210 * [taylor]: Taking taylor expansion of z in z 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.211 * [taylor]: Taking taylor expansion of y in z 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.211 * [taylor]: Taking taylor expansion of z in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.213 * [taylor]: Taking taylor expansion of z in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.214 * [taylor]: Taking taylor expansion of z in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.217 * [taylor]: Taking taylor expansion of z in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of 1 in z 0.218 * [taylor]: Taking taylor expansion of 1 in z 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in z 0.222 * [taylor]: Taking taylor expansion of 0 in z 0.222 * [taylor]: Taking taylor expansion of 0 in z 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.226 * [taylor]: Taking taylor expansion of z in z 0.226 * [taylor]: Taking taylor expansion of 0 in z 0.226 * [taylor]: Taking taylor expansion of 0 in z 0.227 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.227 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of 1 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of 1 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.257 * * * [progress]: simplifying candidates 0.258 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.263 * * [simplify]: iteration 0 : 225 enodes (cost 355 ) 0.270 * * [simplify]: iteration 1 : 1043 enodes (cost 323 ) 0.290 * * [simplify]: iteration 2 : 3749 enodes (cost 312 ) 0.360 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 0.363 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (exp (fma x x (fma y y (* z z)))) (exp (fma x x (fma y y (* z z)))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (fma x x (fma y y (* z z)))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (pow (fma x x (fma y y (* z z))) 3) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma z (pow z 5) (pow (fma x x (* y y)) 3)) (fma (fma x x (* y y)) (fma x x (- (pow y 2) (pow z 2))) (pow z 4)) (* (fma x x (- (pow y 2) (pow z 2))) (fma x x (fma y y (* z z)))) (fma x x (- (pow y 2) (pow z 2))) (fma y y (* z z)) (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 (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.363 * * * [progress]: adding candidates to table 0.514 * * [progress]: iteration 2 / 4 0.514 * * * [progress]: picking best candidate 0.528 * * * * [pick]: Picked # 0.528 * * * [progress]: localizing error 0.535 * * * [progress]: generating rewritten candidates 0.535 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.539 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.544 * * * [progress]: generating series expansions 0.544 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.544 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.544 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.544 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.545 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.546 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.548 * [taylor]: Taking taylor expansion of 1/2 in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.554 * [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 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of 1 in y 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.562 * [taylor]: Taking taylor expansion of 1/2 in y 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.567 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of 1 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of 1/2 in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.583 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.583 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.583 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [taylor]: Taking taylor expansion of 1 in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.589 * [taylor]: Taking taylor expansion of x in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of 1 in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of 1 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.616 * * * [progress]: simplifying candidates 0.617 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.621 * * [simplify]: iteration 0 : 136 enodes (cost 177 ) 0.627 * * [simplify]: iteration 1 : 589 enodes (cost 162 ) 0.637 * * [simplify]: iteration 2 : 1761 enodes (cost 158 ) 0.679 * * [simplify]: iteration 3 : 5002 enodes (cost 156 ) 0.681 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.681 * * * [progress]: adding candidates to table 0.780 * * [progress]: iteration 3 / 4 0.780 * * * [progress]: picking best candidate 0.784 * * * * [pick]: Picked # 0.784 * * * [progress]: localizing error 0.789 * * * [progress]: generating rewritten candidates 0.789 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.790 * * * [progress]: generating series expansions 0.790 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.790 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.790 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.791 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.791 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.791 * [taylor]: Taking taylor expansion of (* x x) in y 0.791 * [taylor]: Taking taylor expansion of x in y 0.791 * [taylor]: Taking taylor expansion of x in y 0.791 * [taylor]: Taking taylor expansion of (* y y) in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.792 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.792 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.792 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.792 * [taylor]: Taking taylor expansion of (* x x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (* y y) in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of y in x 0.794 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.794 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.794 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.794 * [taylor]: Taking taylor expansion of (* x x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (* y y) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.797 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.797 * [taylor]: Taking taylor expansion of 1/2 in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.801 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.801 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.801 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.801 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.804 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.805 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.808 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.808 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.809 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of 1 in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.815 * [taylor]: Taking taylor expansion of 1/2 in y 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.821 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.821 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.821 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.821 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.821 * [taylor]: Taking taylor expansion of -1 in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.821 * [taylor]: Taking taylor expansion of -1 in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.821 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.821 * [taylor]: Taking taylor expansion of -1 in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.822 * [taylor]: Taking taylor expansion of -1 in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.825 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.825 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.825 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.826 * [taylor]: Taking taylor expansion of -1 in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.826 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.826 * [taylor]: Taking taylor expansion of -1 in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.826 * [taylor]: Taking taylor expansion of -1 in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.829 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.829 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.830 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.830 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.830 * [taylor]: Taking taylor expansion of -1 in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.830 * [taylor]: Taking taylor expansion of -1 in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.830 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.830 * [taylor]: Taking taylor expansion of -1 in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.830 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.831 * [taylor]: Taking taylor expansion of -1 in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of 1 in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of 1/2 in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.848 * * * [progress]: simplifying candidates 0.848 * [simplify]: Simplifying using # : (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 0.852 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.854 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.857 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.859 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.862 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.865 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.872 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.891 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.964 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.965 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 0.965 * * * [progress]: adding candidates to table 0.997 * * [progress]: iteration 4 / 4 0.997 * * * [progress]: picking best candidate 0.999 * * * * [pick]: Picked # 0.999 * * * [progress]: localizing error 1.012 * * * [progress]: generating rewritten candidates 1.012 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.016 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 1.019 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.023 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.049 * * * [progress]: generating series expansions 1.049 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.049 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.049 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.049 * [taylor]: Taking taylor expansion of 1/3 in y 1.049 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.049 * [taylor]: Taking taylor expansion of x in y 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.050 * [taylor]: Taking taylor expansion of 1/3 in x 1.050 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.050 * [taylor]: Taking taylor expansion of y in x 1.050 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.050 * [taylor]: Taking taylor expansion of 1/3 in x 1.050 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.050 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.051 * [taylor]: Taking taylor expansion of 1/3 in y 1.051 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of 0 in y 1.060 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.060 * [taylor]: Taking taylor expansion of 1/3 in y 1.060 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.060 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.060 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.060 * [taylor]: Taking taylor expansion of 1/3 in y 1.060 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.060 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.060 * [taylor]: Taking taylor expansion of y in y 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.082 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.082 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.082 * [taylor]: Taking taylor expansion of 1/3 in y 1.082 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.082 * [taylor]: Taking taylor expansion of x in y 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.082 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.084 * [taylor]: Taking taylor expansion of 1/3 in x 1.084 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.085 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.086 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.086 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.086 * [taylor]: Taking taylor expansion of 1/3 in x 1.086 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.086 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.088 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.088 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.088 * [taylor]: Taking taylor expansion of -2/3 in y 1.088 * [taylor]: Taking taylor expansion of (log x) in y 1.088 * [taylor]: Taking taylor expansion of x in y 1.091 * [taylor]: Taking taylor expansion of 0 in y 1.096 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.097 * [taylor]: Taking taylor expansion of 1/3 in y 1.097 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.097 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.097 * [taylor]: Taking taylor expansion of 1/3 in y 1.097 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.115 * [taylor]: Taking taylor expansion of 0 in y 1.116 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.116 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.116 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.116 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.116 * [taylor]: Taking taylor expansion of 1/3 in y 1.116 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.116 * [taylor]: Taking taylor expansion of x in y 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.118 * [taylor]: Taking taylor expansion of 1/3 in x 1.118 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.118 * [taylor]: Taking taylor expansion of y in x 1.120 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.120 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.120 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.120 * [taylor]: Taking taylor expansion of 1/3 in x 1.120 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.121 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.121 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.121 * [taylor]: Taking taylor expansion of -2/3 in y 1.121 * [taylor]: Taking taylor expansion of (log x) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.125 * [taylor]: Taking taylor expansion of 0 in y 1.130 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.130 * [taylor]: Taking taylor expansion of 1/3 in y 1.130 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.130 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.130 * [taylor]: Taking taylor expansion of 1/3 in y 1.130 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.131 * [taylor]: Taking taylor expansion of x in y 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.154 * [taylor]: Taking taylor expansion of 0 in y 1.154 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 1.155 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.155 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.155 * [taylor]: Taking taylor expansion of 1/3 in y 1.155 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.155 * [taylor]: Taking taylor expansion of x in y 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.155 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.155 * [taylor]: Taking taylor expansion of 1/3 in x 1.155 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.155 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.156 * [taylor]: Taking taylor expansion of 1/3 in x 1.156 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.156 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.156 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.156 * [taylor]: Taking taylor expansion of 1/3 in y 1.156 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.156 * [taylor]: Taking taylor expansion of y in y 1.159 * [taylor]: Taking taylor expansion of 0 in y 1.165 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.165 * [taylor]: Taking taylor expansion of 1/3 in y 1.165 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.165 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.165 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.165 * [taylor]: Taking taylor expansion of 1/3 in y 1.165 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.165 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.165 * [taylor]: Taking taylor expansion of y in y 1.176 * [taylor]: Taking taylor expansion of 0 in y 1.186 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.186 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.186 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.186 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.186 * [taylor]: Taking taylor expansion of 1/3 in y 1.186 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.186 * [taylor]: Taking taylor expansion of x in y 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.186 * [taylor]: Taking taylor expansion of y in y 1.188 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.188 * [taylor]: Taking taylor expansion of 1/3 in x 1.188 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.189 * [taylor]: Taking taylor expansion of y in x 1.190 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.190 * [taylor]: Taking taylor expansion of 1/3 in x 1.190 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.192 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.192 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.192 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.192 * [taylor]: Taking taylor expansion of -2/3 in y 1.192 * [taylor]: Taking taylor expansion of (log x) in y 1.192 * [taylor]: Taking taylor expansion of x in y 1.195 * [taylor]: Taking taylor expansion of 0 in y 1.200 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.200 * [taylor]: Taking taylor expansion of 1/3 in y 1.200 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.200 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.200 * [taylor]: Taking taylor expansion of 1/3 in y 1.200 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.200 * [taylor]: Taking taylor expansion of x in y 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.201 * [taylor]: Taking taylor expansion of y in y 1.219 * [taylor]: Taking taylor expansion of 0 in y 1.219 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.219 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.219 * [taylor]: Taking taylor expansion of 1/3 in y 1.219 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.220 * [taylor]: Taking taylor expansion of x in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.220 * [taylor]: Taking taylor expansion of y in y 1.221 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.221 * [taylor]: Taking taylor expansion of 1/3 in x 1.221 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.222 * [taylor]: Taking taylor expansion of y in x 1.223 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.223 * [taylor]: Taking taylor expansion of 1/3 in x 1.223 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.225 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.225 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.225 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.225 * [taylor]: Taking taylor expansion of -2/3 in y 1.225 * [taylor]: Taking taylor expansion of (log x) in y 1.225 * [taylor]: Taking taylor expansion of x in y 1.229 * [taylor]: Taking taylor expansion of 0 in y 1.238 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.238 * [taylor]: Taking taylor expansion of 1/3 in y 1.238 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.238 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.238 * [taylor]: Taking taylor expansion of 1/3 in y 1.238 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.238 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.238 * [taylor]: Taking taylor expansion of x in y 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.238 * [taylor]: Taking taylor expansion of y in y 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.257 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.258 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.258 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.258 * [taylor]: Taking taylor expansion of 1/3 in y 1.258 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.258 * [taylor]: Taking taylor expansion of x in y 1.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.258 * [taylor]: Taking taylor expansion of y in y 1.258 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.258 * [taylor]: Taking taylor expansion of 1/3 in x 1.258 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.258 * [taylor]: Taking taylor expansion of y in x 1.259 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.259 * [taylor]: Taking taylor expansion of 1/3 in x 1.259 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.259 * [taylor]: Taking taylor expansion of y in x 1.259 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.259 * [taylor]: Taking taylor expansion of 1/3 in y 1.259 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.259 * [taylor]: Taking taylor expansion of y in y 1.263 * [taylor]: Taking taylor expansion of 0 in y 1.268 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.269 * [taylor]: Taking taylor expansion of 1/3 in y 1.269 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.269 * [taylor]: Taking taylor expansion of 1/3 in y 1.269 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.269 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.269 * [taylor]: Taking taylor expansion of y in y 1.280 * [taylor]: Taking taylor expansion of 0 in y 1.290 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.291 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.291 * [taylor]: Taking taylor expansion of 1/3 in y 1.291 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.291 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.291 * [taylor]: Taking taylor expansion of x in y 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.292 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.293 * [taylor]: Taking taylor expansion of 1/3 in x 1.293 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.293 * [taylor]: Taking taylor expansion of y in x 1.294 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.294 * [taylor]: Taking taylor expansion of 1/3 in x 1.294 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.295 * [taylor]: Taking taylor expansion of y in x 1.296 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.296 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.296 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.296 * [taylor]: Taking taylor expansion of -2/3 in y 1.296 * [taylor]: Taking taylor expansion of (log x) in y 1.296 * [taylor]: Taking taylor expansion of x in y 1.300 * [taylor]: Taking taylor expansion of 0 in y 1.305 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.305 * [taylor]: Taking taylor expansion of 1/3 in y 1.305 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.305 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.305 * [taylor]: Taking taylor expansion of 1/3 in y 1.305 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.305 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.305 * [taylor]: Taking taylor expansion of x in y 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.306 * [taylor]: Taking taylor expansion of y in y 1.324 * [taylor]: Taking taylor expansion of 0 in y 1.324 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.324 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.324 * [taylor]: Taking taylor expansion of 1/3 in y 1.324 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.325 * [taylor]: Taking taylor expansion of x in y 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.326 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.326 * [taylor]: Taking taylor expansion of 1/3 in x 1.326 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.327 * [taylor]: Taking taylor expansion of y in x 1.328 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.328 * [taylor]: Taking taylor expansion of 1/3 in x 1.328 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.329 * [taylor]: Taking taylor expansion of y in x 1.330 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.330 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.330 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.330 * [taylor]: Taking taylor expansion of -2/3 in y 1.330 * [taylor]: Taking taylor expansion of (log x) in y 1.330 * [taylor]: Taking taylor expansion of x in y 1.337 * [taylor]: Taking taylor expansion of 0 in y 1.343 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.343 * [taylor]: Taking taylor expansion of 1/3 in y 1.343 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.343 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.343 * [taylor]: Taking taylor expansion of 1/3 in y 1.343 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.343 * [taylor]: Taking taylor expansion of x in y 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.343 * [taylor]: Taking taylor expansion of y in y 1.362 * [taylor]: Taking taylor expansion of 0 in y 1.362 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.363 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.363 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.363 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.363 * [taylor]: Taking taylor expansion of x in y 1.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.363 * [taylor]: Taking taylor expansion of y in y 1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.364 * [taylor]: Taking taylor expansion of y in x 1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.364 * [taylor]: Taking taylor expansion of y in x 1.365 * [taylor]: Taking taylor expansion of y in y 1.365 * [taylor]: Taking taylor expansion of 0 in y 1.366 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.367 * [taylor]: Taking taylor expansion of 1/2 in y 1.367 * [taylor]: Taking taylor expansion of y in y 1.369 * [taylor]: Taking taylor expansion of 0 in y 1.370 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.370 * [taylor]: Taking taylor expansion of x in y 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.370 * [taylor]: Taking taylor expansion of y in y 1.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.374 * [taylor]: Taking taylor expansion of y in x 1.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.377 * [taylor]: Taking taylor expansion of y in x 1.379 * [taylor]: Taking taylor expansion of 1 in y 1.379 * [taylor]: Taking taylor expansion of 0 in y 1.381 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.381 * [taylor]: Taking taylor expansion of 1/2 in y 1.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.381 * [taylor]: Taking taylor expansion of y in y 1.385 * [taylor]: Taking taylor expansion of 0 in y 1.387 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.387 * [taylor]: Taking taylor expansion of x in y 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.387 * [taylor]: Taking taylor expansion of y in y 1.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.391 * [taylor]: Taking taylor expansion of y in x 1.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.394 * [taylor]: Taking taylor expansion of y in x 1.396 * [taylor]: Taking taylor expansion of 1 in y 1.396 * [taylor]: Taking taylor expansion of 0 in y 1.398 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.399 * [taylor]: Taking taylor expansion of 1/2 in y 1.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.399 * [taylor]: Taking taylor expansion of y in y 1.402 * [taylor]: Taking taylor expansion of 0 in y 1.403 * * * [progress]: simplifying candidates 1.405 * [simplify]: Simplifying using # : (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) (* 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(* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (* -1 x) 1.416 * * [simplify]: iteration 0 : 299 enodes (cost 1566 ) 1.423 * * [simplify]: iteration 1 : 751 enodes (cost 1522 ) 1.451 * * [simplify]: iteration 2 : 3301 enodes (cost 1502 ) 1.609 * * [simplify]: iteration 3 : 5001 enodes (cost 1470 ) 1.617 * [simplify]: Simplified to: (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) 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(pow y 2/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (* -1 x) 1.618 * * * [progress]: adding candidates to table 1.928 * [progress]: [Phase 3 of 3] Extracting. 1.928 * * [regime]: Finding splitpoints for: (# #) 1.929 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) z y x) 1.929 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.946 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.959 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.973 * * * * [regimes]: Trying to branch on z from (# #) 1.991 * * * * [regimes]: Trying to branch on y from (# #) 2.005 * * * * [regimes]: Trying to branch on x from (# #) 2.020 * * * [regime]: Found split indices: #