13.152 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.033 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.035 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.038 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.040 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.042 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.042 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.073 * [taylor]: Taking taylor expansion of x in z 0.073 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.073 * [taylor]: Taking taylor expansion of y in z 0.073 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.073 * [taylor]: Taking taylor expansion of z in z 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.074 * [taylor]: Taking taylor expansion of z in y 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.076 * [taylor]: Taking taylor expansion of z in x 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.077 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.077 * [taylor]: Taking taylor expansion of z in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (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 0.079 * [taylor]: Taking taylor expansion of z in z 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in z 0.080 * [taylor]: Taking taylor expansion of 0 in z 0.082 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.082 * [taylor]: Taking taylor expansion of 1/2 in y 0.082 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.082 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.082 * [taylor]: Taking taylor expansion of z in y 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 * [taylor]: Taking taylor expansion of 0 in z 0.085 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.085 * [taylor]: Taking taylor expansion of 1/2 in z 0.085 * [taylor]: Taking taylor expansion of z in z 0.087 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.087 * [taylor]: Taking taylor expansion of x in z 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.087 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.087 * [taylor]: Taking taylor expansion of z in z 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.088 * [taylor]: Taking taylor expansion of y in z 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.091 * [taylor]: Taking taylor expansion of z in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.095 * [taylor]: Taking taylor expansion of z in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.098 * [taylor]: Taking taylor expansion of z in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 1 in z 0.103 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.104 * [taylor]: Taking taylor expansion of 1/2 in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.104 * [taylor]: Taking taylor expansion of z in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.111 * [taylor]: Taking taylor expansion of 1/2 in z 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.111 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.111 * [taylor]: Taking taylor expansion of z in z 0.113 * [taylor]: Taking taylor expansion of 0 in z 0.113 * [taylor]: Taking taylor expansion of 0 in z 0.121 * [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 0.121 * [taylor]: Taking taylor expansion of -1/2 in y 0.121 * [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 0.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.121 * [taylor]: Taking taylor expansion of 1/4 in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.121 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.121 * [taylor]: Taking taylor expansion of z in y 0.122 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.122 * [taylor]: Taking taylor expansion of 1/2 in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.122 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.122 * [taylor]: Taking taylor expansion of z in y 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.122 * [taylor]: Taking taylor expansion of 1/4 in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.122 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of 0 in z 0.134 * [taylor]: Taking taylor expansion of 0 in z 0.136 * [taylor]: Taking taylor expansion of 0 in z 0.137 * [taylor]: Taking taylor expansion of 0 in z 0.137 * [taylor]: Taking taylor expansion of 0 in z 0.139 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.139 * [taylor]: Taking taylor expansion of x in z 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.139 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.139 * [taylor]: Taking taylor expansion of z in z 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.140 * [taylor]: Taking taylor expansion of y in z 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.143 * [taylor]: Taking taylor expansion of z in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.147 * [taylor]: Taking taylor expansion of z in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.150 * [taylor]: Taking taylor expansion of z in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of 1 in y 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [taylor]: Taking taylor expansion of 1 in z 0.155 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.155 * [taylor]: Taking taylor expansion of 1/2 in y 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.155 * [taylor]: Taking taylor expansion of z in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 0 in z 0.158 * [taylor]: Taking taylor expansion of 0 in z 0.158 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.163 * [taylor]: Taking taylor expansion of 1/2 in z 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.163 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.163 * [taylor]: Taking taylor expansion of z in z 0.165 * [taylor]: Taking taylor expansion of 0 in z 0.165 * [taylor]: Taking taylor expansion of 0 in z 0.169 * [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 0.169 * [taylor]: Taking taylor expansion of -1/2 in y 0.169 * [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 0.169 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.169 * [taylor]: Taking taylor expansion of 1/4 in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.169 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.169 * [taylor]: Taking taylor expansion of z in y 0.169 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.169 * [taylor]: Taking taylor expansion of 1/2 in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.169 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.169 * [taylor]: Taking taylor expansion of z in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.170 * [taylor]: Taking taylor expansion of 1/4 in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.170 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.170 * [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 / 2 ] generating series at (2 1 1) 0.186 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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) in x 0.186 * [taylor]: Taking taylor expansion of y in x 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 0 in y 0.188 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of 1 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.220 * * * [progress]: simplifying candidates 0.221 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.226 * * [simplify]: iteration 0 : 186 enodes (cost 224 ) 0.232 * * [simplify]: iteration 1 : 767 enodes (cost 212 ) 0.247 * * [simplify]: iteration 2 : 2319 enodes (cost 209 ) 0.297 * * [simplify]: iteration 3 : 5001 enodes (cost 207 ) 0.299 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.300 * * * [progress]: adding candidates to table 0.409 * * [progress]: iteration 2 / 4 0.410 * * * [progress]: picking best candidate 0.415 * * * * [pick]: Picked # 0.416 * * * [progress]: localizing error 0.424 * * * [progress]: generating rewritten candidates 0.424 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.428 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.432 * * * [progress]: generating series expansions 0.432 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.432 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.432 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.433 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.434 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.436 * [taylor]: Taking taylor expansion of 1/2 in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of 1 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of 1/2 in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.456 * [taylor]: Taking taylor expansion of x in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of 1 in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.467 * [taylor]: Taking taylor expansion of 1/2 in y 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.472 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.472 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.472 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [taylor]: Taking taylor expansion of 1 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of 1 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.506 * * * [progress]: simplifying candidates 0.506 * [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)) 0.511 * * [simplify]: iteration 0 : 136 enodes (cost 177 ) 0.516 * * [simplify]: iteration 1 : 589 enodes (cost 162 ) 0.528 * * [simplify]: iteration 2 : 1761 enodes (cost 158 ) 0.569 * * [simplify]: iteration 3 : 5002 enodes (cost 156 ) 0.570 * [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)) 0.570 * * * [progress]: adding candidates to table 0.680 * * [progress]: iteration 3 / 4 0.680 * * * [progress]: picking best candidate 0.682 * * * * [pick]: Picked # 0.682 * * * [progress]: localizing error 0.688 * * * [progress]: generating rewritten candidates 0.688 * * * [progress]: generating series expansions 0.688 * * * [progress]: simplifying candidates 0.689 * [simplify]: Simplifying using # : 0.694 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.694 * [simplify]: Simplified to: 0.694 * * * [progress]: adding candidates to table 0.695 * [progress]: [Phase 3 of 3] Extracting. 0.697 * [simplify]: Simplifying using # : (hypot (* 1 (hypot x y)) z) 0.698 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.699 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.699 * * [simplify]: iteration 2 : 12 enodes (cost 3 ) 0.699 * [simplify]: Simplified to: (hypot (* 1 (hypot x y)) z) 1.487 * [regime-testing]: End program error score: 0.005750718839854982 1.528 * [regime-testing]: Target error score: 25.686071474555238