19.501 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.035 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.037 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.039 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.041 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.043 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.043 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.068 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.081 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.085 * [taylor]: Taking taylor expansion of x in z 0.085 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 0.085 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.085 * [taylor]: Taking taylor expansion of z in z 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.087 * [taylor]: Taking taylor expansion of z in y 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.089 * [taylor]: Taking taylor expansion of z in x 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.090 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.090 * [taylor]: Taking taylor expansion of z in x 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.092 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.092 * [taylor]: Taking taylor expansion of z in y 0.093 * [taylor]: Taking taylor expansion of z in z 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.095 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.095 * [taylor]: Taking taylor expansion of 1/2 in y 0.095 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.095 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.095 * [taylor]: Taking taylor expansion of z in y 0.096 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.096 * [taylor]: Taking taylor expansion of 1/2 in z 0.096 * [taylor]: Taking taylor expansion of z in z 0.097 * [taylor]: Taking taylor expansion of 0 in z 0.099 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.099 * [taylor]: Taking taylor expansion of 1/2 in z 0.099 * [taylor]: Taking taylor expansion of z in z 0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.100 * [taylor]: Taking taylor expansion of x in z 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.101 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.101 * [taylor]: Taking taylor expansion of z in z 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.101 * [taylor]: Taking taylor expansion of y in z 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.105 * [taylor]: Taking taylor expansion of z in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.109 * [taylor]: Taking taylor expansion of z in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.112 * [taylor]: Taking taylor expansion of z in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 1 in z 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.118 * [taylor]: Taking taylor expansion of 1/2 in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.118 * [taylor]: Taking taylor expansion of z in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of 0 in z 0.120 * [taylor]: Taking taylor expansion of 0 in z 0.120 * [taylor]: Taking taylor expansion of 0 in z 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.129 * [taylor]: Taking taylor expansion of 1/2 in z 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.129 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.129 * [taylor]: Taking taylor expansion of z in z 0.131 * [taylor]: Taking taylor expansion of 0 in z 0.131 * [taylor]: Taking taylor expansion of 0 in z 0.135 * [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 0.135 * [taylor]: Taking taylor expansion of -1/2 in y 0.135 * [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 0.135 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.135 * [taylor]: Taking taylor expansion of 1/4 in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.135 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.135 * [taylor]: Taking taylor expansion of z in y 0.135 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.135 * [taylor]: Taking taylor expansion of 1/2 in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.135 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.135 * [taylor]: Taking taylor expansion of z in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.136 * [taylor]: Taking taylor expansion of 1/4 in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.136 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 0 in z 0.146 * [taylor]: Taking taylor expansion of 0 in z 0.149 * [taylor]: Taking taylor expansion of 0 in z 0.149 * [taylor]: Taking taylor expansion of 0 in z 0.149 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.151 * [taylor]: Taking taylor expansion of x in z 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.151 * [taylor]: Taking taylor expansion of z in z 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.152 * [taylor]: Taking taylor expansion of y in z 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.154 * [taylor]: Taking taylor expansion of z in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.158 * [taylor]: Taking taylor expansion of z in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.161 * [taylor]: Taking taylor expansion of z in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of 1 in z 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.166 * [taylor]: Taking taylor expansion of 1/2 in y 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.166 * [taylor]: Taking taylor expansion of z in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of 0 in z 0.168 * [taylor]: Taking taylor expansion of 0 in z 0.168 * [taylor]: Taking taylor expansion of 0 in z 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.172 * [taylor]: Taking taylor expansion of 1/2 in z 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.172 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.172 * [taylor]: Taking taylor expansion of z in z 0.174 * [taylor]: Taking taylor expansion of 0 in z 0.174 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.178 * [taylor]: Taking taylor expansion of -1/2 in y 0.178 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.178 * [taylor]: Taking taylor expansion of 1/4 in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.178 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.178 * [taylor]: Taking taylor expansion of z in y 0.179 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.179 * [taylor]: Taking taylor expansion of 1/2 in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.179 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.179 * [taylor]: Taking taylor expansion of z in y 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.179 * [taylor]: Taking taylor expansion of 1/4 in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.179 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of 0 in z 0.190 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.194 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.194 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.194 * [taylor]: Taking taylor expansion of x in z 0.194 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.194 * [taylor]: Taking taylor expansion of y in z 0.194 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.194 * [taylor]: Taking taylor expansion of z in z 0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.194 * [taylor]: Taking taylor expansion of z in y 0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.194 * [taylor]: Taking taylor expansion of z in x 0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 (pow z 2) in x 0.195 * [taylor]: Taking taylor expansion of z in x 0.195 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.195 * [taylor]: Taking taylor expansion of z in y 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.195 * [taylor]: Taking taylor expansion of z in z 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [taylor]: Taking taylor expansion of 1 in y 0.198 * [taylor]: Taking taylor expansion of 1 in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [taylor]: Taking taylor expansion of 1 in z 0.200 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.200 * [taylor]: Taking taylor expansion of x in z 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.200 * [taylor]: Taking taylor expansion of z in z 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.201 * [taylor]: Taking taylor expansion of y in z 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.201 * [taylor]: Taking taylor expansion of z in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.202 * [taylor]: Taking taylor expansion of z in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.203 * [taylor]: Taking taylor expansion of z in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.206 * [taylor]: Taking taylor expansion of z in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 1 in z 0.212 * [taylor]: Taking taylor expansion of 1 in z 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.220 * [taylor]: Taking taylor expansion of z in z 0.220 * [taylor]: Taking taylor expansion of 0 in z 0.221 * [taylor]: Taking taylor expansion of 0 in z 0.222 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.222 * [taylor]: Taking taylor expansion of x in z 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.222 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.222 * [taylor]: Taking taylor expansion of z in z 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.222 * [taylor]: Taking taylor expansion of y in z 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.223 * [taylor]: Taking taylor expansion of z in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.224 * [taylor]: Taking taylor expansion of z in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.225 * [taylor]: Taking taylor expansion of z in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of 1 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.228 * [taylor]: Taking taylor expansion of z in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of 1 in z 0.229 * [taylor]: Taking taylor expansion of 1 in z 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.236 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.237 * [taylor]: Taking taylor expansion of z in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.238 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.238 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of 1 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.244 * [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 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.246 * [taylor]: Taking taylor expansion of y in x 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 in y 0.248 * [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 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of 1 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.269 * * * [progress]: simplifying candidates 0.270 * [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)) 0.275 * * [simplify]: iteration 0 : 225 enodes (cost 355 ) 0.283 * * [simplify]: iteration 1 : 1043 enodes (cost 323 ) 0.303 * * [simplify]: iteration 2 : 3749 enodes (cost 312 ) 0.376 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 0.378 * [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)) 0.379 * * * [progress]: adding candidates to table 0.553 * * [progress]: iteration 2 / 4 0.553 * * * [progress]: picking best candidate 0.559 * * * * [pick]: Picked # 0.559 * * * [progress]: localizing error 0.567 * * * [progress]: generating rewritten candidates 0.567 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.571 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.577 * * * [progress]: generating series expansions 0.577 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.577 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.577 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.577 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.578 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.579 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.581 * [taylor]: Taking taylor expansion of 1/2 in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.584 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 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 0.592 * [taylor]: Taking taylor expansion of 1 in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.595 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.595 * [taylor]: Taking taylor expansion of 1/2 in y 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.600 * [taylor]: Taking taylor expansion of x in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [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 0.605 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of 1 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.610 * [taylor]: Taking taylor expansion of 1/2 in y 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.615 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.615 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.615 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.615 * [taylor]: Taking taylor expansion of x in y 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.615 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.615 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [taylor]: Taking taylor expansion of 1 in y 0.618 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of 1 in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.633 * [taylor]: Taking taylor expansion of x in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of 1 in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.645 * * * [progress]: simplifying candidates 0.646 * [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)) 0.650 * * [simplify]: iteration 0 : 136 enodes (cost 177 ) 0.655 * * [simplify]: iteration 1 : 589 enodes (cost 162 ) 0.666 * * [simplify]: iteration 2 : 1761 enodes (cost 158 ) 0.710 * * [simplify]: iteration 3 : 5002 enodes (cost 156 ) 0.712 * [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)) 0.712 * * * [progress]: adding candidates to table 0.829 * * [progress]: iteration 3 / 4 0.829 * * * [progress]: picking best candidate 0.831 * * * * [pick]: Picked # 0.831 * * * [progress]: localizing error 0.837 * * * [progress]: generating rewritten candidates 0.837 * * * [progress]: generating series expansions 0.837 * * * [progress]: simplifying candidates 0.837 * [simplify]: Simplifying using # : 0.840 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.840 * [simplify]: Simplified to: 0.840 * * * [progress]: adding candidates to table 0.840 * [progress]: [Phase 3 of 3] Extracting. 0.843 * [simplify]: Simplifying using # : (hypot (* 1 (hypot x y)) z) 0.844 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.844 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.845 * * [simplify]: iteration 2 : 12 enodes (cost 3 ) 0.845 * [simplify]: Simplified to: (hypot (* 1 (hypot x y)) z) 1.692 * [regime-testing]: End program error score: 0.005375671958994874 1.728 * [regime-testing]: Target error score: 26.09311267673744