22.927 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.020 * * [simplify]: iteration 0 : 9 enodes (cost 12 ) 0.021 * * [simplify]: iteration 1 : 14 enodes (cost 11 ) 0.023 * * [simplify]: iteration 2 : 24 enodes (cost 10 ) 0.026 * * [simplify]: iteration 3 : 30 enodes (cost 10 ) 0.029 * * [simplify]: iteration done : 30 enodes (cost 10 ) 0.029 * [simplify]: Simplified to: (sqrt (fma z z (fma x x (* y y)))) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.079 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.079 * [taylor]: Taking taylor expansion of x in z 0.079 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.079 * [taylor]: Taking taylor expansion of y in z 0.079 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.079 * [taylor]: Taking taylor expansion of z in z 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.081 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.081 * [taylor]: Taking taylor expansion of z in y 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.083 * [taylor]: Taking taylor expansion of z in x 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.084 * [taylor]: Taking taylor expansion of z in x 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.086 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.086 * [taylor]: Taking taylor expansion of z in y 0.086 * [taylor]: Taking taylor expansion of z in z 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in z 0.086 * [taylor]: Taking taylor expansion of 0 in z 0.089 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.089 * [taylor]: Taking taylor expansion of 1/2 in y 0.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.089 * [taylor]: Taking taylor expansion of z in y 0.090 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.090 * [taylor]: Taking taylor expansion of 1/2 in z 0.090 * [taylor]: Taking taylor expansion of z in z 0.091 * [taylor]: Taking taylor expansion of 0 in z 0.092 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.092 * [taylor]: Taking taylor expansion of 1/2 in z 0.092 * [taylor]: Taking taylor expansion of z in z 0.093 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.094 * [taylor]: Taking taylor expansion of x in z 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.094 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.094 * [taylor]: Taking taylor expansion of z in z 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.095 * [taylor]: Taking taylor expansion of y in z 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.098 * [taylor]: Taking taylor expansion of z in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.102 * [taylor]: Taking taylor expansion of z in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.105 * [taylor]: Taking taylor expansion of z in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 1 in z 0.110 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.110 * [taylor]: Taking taylor expansion of 1/2 in y 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.110 * [taylor]: Taking taylor expansion of z in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 0 in z 0.113 * [taylor]: Taking taylor expansion of 0 in z 0.113 * [taylor]: Taking taylor expansion of 0 in z 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.117 * [taylor]: Taking taylor expansion of 1/2 in z 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.117 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.117 * [taylor]: Taking taylor expansion of z in z 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.123 * [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 0.124 * [taylor]: Taking taylor expansion of -1/2 in y 0.124 * [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 0.124 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.124 * [taylor]: Taking taylor expansion of 1/4 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.124 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.124 * [taylor]: Taking taylor expansion of z in y 0.124 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.124 * [taylor]: Taking taylor expansion of 1/2 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.124 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.124 * [taylor]: Taking taylor expansion of z in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.125 * [taylor]: Taking taylor expansion of 1/4 in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.125 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of 0 in z 0.136 * [taylor]: Taking taylor expansion of 0 in z 0.138 * [taylor]: Taking taylor expansion of 0 in z 0.138 * [taylor]: Taking taylor expansion of 0 in z 0.138 * [taylor]: Taking taylor expansion of 0 in z 0.140 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.140 * [taylor]: Taking taylor expansion of x in z 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.141 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.141 * [taylor]: Taking taylor expansion of z in z 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.141 * [taylor]: Taking taylor expansion of y in z 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.144 * [taylor]: Taking taylor expansion of z in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.148 * [taylor]: Taking taylor expansion of z in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.151 * [taylor]: Taking taylor expansion of z in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of 1 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of 1 in z 0.162 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.162 * [taylor]: Taking taylor expansion of 1/2 in y 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.162 * [taylor]: Taking taylor expansion of z in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.169 * [taylor]: Taking taylor expansion of 1/2 in z 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.169 * [taylor]: Taking taylor expansion of z in z 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.175 * [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 0.176 * [taylor]: Taking taylor expansion of -1/2 in y 0.176 * [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 0.176 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.176 * [taylor]: Taking taylor expansion of 1/4 in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.176 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.176 * [taylor]: Taking taylor expansion of z in y 0.176 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.176 * [taylor]: Taking taylor expansion of 1/2 in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.176 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.176 * [taylor]: Taking taylor expansion of z in y 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.177 * [taylor]: Taking taylor expansion of 1/4 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 0 in z 0.188 * [taylor]: Taking taylor expansion of 0 in z 0.190 * [taylor]: Taking taylor expansion of 0 in z 0.190 * [taylor]: Taking taylor expansion of 0 in z 0.190 * [taylor]: Taking taylor expansion of 0 in z 0.192 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.192 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.193 * [taylor]: Taking taylor expansion of x in z 0.193 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.193 * [taylor]: Taking taylor expansion of y in z 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.193 * [taylor]: Taking taylor expansion of z in z 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.193 * [taylor]: Taking taylor expansion of z in y 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 0.193 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.193 * [taylor]: Taking taylor expansion of z in x 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 0.193 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.193 * [taylor]: Taking taylor expansion of z in x 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 z 2) in z 0.194 * [taylor]: Taking taylor expansion of z in z 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in z 0.195 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [taylor]: Taking taylor expansion of 1 in y 0.196 * [taylor]: Taking taylor expansion of 1 in z 0.197 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [taylor]: Taking taylor expansion of 1 in z 0.199 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.199 * [taylor]: Taking taylor expansion of x in z 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.199 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.199 * [taylor]: Taking taylor expansion of z in z 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.200 * [taylor]: Taking taylor expansion of y in z 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.200 * [taylor]: Taking taylor expansion of z in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [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 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.203 * [taylor]: Taking taylor expansion of z in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of 1 in y 0.204 * [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 0.207 * [taylor]: Taking taylor expansion of 1 in z 0.207 * [taylor]: Taking taylor expansion of 1 in z 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in z 0.210 * [taylor]: Taking taylor expansion of 0 in z 0.210 * [taylor]: Taking taylor expansion of 0 in z 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.215 * [taylor]: Taking taylor expansion of z in z 0.215 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [taylor]: Taking taylor expansion of 0 in z 0.216 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.217 * [taylor]: Taking taylor expansion of x in z 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.217 * [taylor]: Taking taylor expansion of z in z 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.217 * [taylor]: Taking taylor expansion of y in z 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.218 * [taylor]: Taking taylor expansion of z in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.219 * [taylor]: Taking taylor expansion of z in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.220 * [taylor]: Taking taylor expansion of z in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of 1 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.224 * [taylor]: Taking taylor expansion of z in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 1 in z 0.225 * [taylor]: Taking taylor expansion of 1 in z 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.232 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.233 * [taylor]: Taking taylor expansion of z in z 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.234 * * * [progress]: simplifying candidates 0.235 * [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)) 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))) 0.237 * * [simplify]: iteration 0 : 62 enodes (cost 626 ) 0.254 * * [simplify]: iteration 1 : 153 enodes (cost 534 ) 0.289 * * [simplify]: iteration 2 : 631 enodes (cost 462 ) 0.519 * * [simplify]: iteration 3 : 2597 enodes (cost 450 ) 1.578 * * [simplify]: iteration done : 5001 enodes (cost 450 ) 1.578 * [simplify]: Simplified to: (expm1 (sqrt (fma x x (fma y y (pow z 2))))) (log1p (sqrt (fma x x (fma y y (pow z 2))))) (log (sqrt (fma x x (fma y y (pow z 2))))) (exp (sqrt (fma x x (fma y y (pow z 2))))) (* (cbrt (sqrt (fma x x (fma y y (pow z 2))))) (cbrt (sqrt (fma x x (fma y y (pow z 2)))))) (cbrt (sqrt (fma x x (fma y y (pow z 2))))) (pow (sqrt (fma x x (fma y y (pow z 2)))) 3) (fabs (cbrt (fma x x (fma y y (pow z 2))))) (sqrt (cbrt (fma x x (fma y y (pow z 2))))) (sqrt (sqrt (fma x x (fma y y (pow z 2))))) (sqrt (sqrt (fma x x (fma y y (pow z 2))))) 1 (sqrt (fma x x (fma y y (pow z 2)))) (hypot (pow (fma x x (* y y)) 3/2) (pow z 3)) (sqrt (+ (* (fma x x (* y y)) (- (fma x x (* y y)) (* z z))) (pow z 4))) (sqrt (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4))) (sqrt (- (fma x x (* y y)) (* z z))) 1/2 (sqrt (sqrt (fma x x (fma y y (pow z 2))))) (sqrt (sqrt (fma x x (fma y y (pow z 2))))) (expm1 (fma x x (fma y y (pow z 2)))) (log1p (fma x x (fma y y (pow z 2)))) (exp (fma x x (fma y y (pow z 2)))) (exp (fma x x (fma y y (pow z 2)))) (log (fma x x (fma y y (pow z 2)))) (exp (fma x x (fma y y (pow z 2)))) (* (cbrt (fma x x (fma y y (pow z 2)))) (cbrt (fma x x (fma y y (pow z 2))))) (cbrt (fma x x (fma y y (pow z 2)))) (pow (fma x x (fma y y (pow z 2))) 3) (sqrt (fma x x (fma y y (pow z 2)))) (sqrt (fma x x (fma y y (pow z 2)))) (+ (pow (fma x x (* y y)) 3) (pow z 6)) (+ (* (fma x x (* y y)) (- (fma x x (* y y)) (* z z))) (pow z 4)) (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4)) (- (fma x x (* y y)) (* z z)) (fma y y (pow z 2)) z x (- x) (fma x x (fma y y (pow z 2))) (fma x x (fma y y (pow z 2))) (fma x x (fma y y (pow z 2))) 1.578 * * * [progress]: adding candidates to table 1.718 * * [progress]: iteration 2 / 4 1.718 * * * [progress]: picking best candidate 1.727 * * * * [pick]: Picked # 1.727 * * * [progress]: localizing error 1.735 * * * [progress]: generating rewritten candidates 1.735 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.740 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.741 * * * [progress]: generating series expansions 1.741 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.741 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.741 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.741 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.741 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.741 * [taylor]: Taking taylor expansion of x in y 1.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.741 * [taylor]: Taking taylor expansion of y in y 1.742 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.742 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.742 * [taylor]: Taking taylor expansion of x in x 1.742 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.742 * [taylor]: Taking taylor expansion of y in x 1.743 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.743 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.743 * [taylor]: Taking taylor expansion of y in x 1.744 * [taylor]: Taking taylor expansion of y in y 1.744 * [taylor]: Taking taylor expansion of 0 in y 1.746 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.746 * [taylor]: Taking taylor expansion of 1/2 in y 1.746 * [taylor]: Taking taylor expansion of y in y 1.754 * [taylor]: Taking taylor expansion of 0 in y 1.755 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.755 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.755 * [taylor]: Taking taylor expansion of x in y 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.755 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.755 * [taylor]: Taking taylor expansion of y in y 1.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.759 * [taylor]: Taking taylor expansion of y in x 1.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.762 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.762 * [taylor]: Taking taylor expansion of y in x 1.764 * [taylor]: Taking taylor expansion of 1 in y 1.764 * [taylor]: Taking taylor expansion of 0 in y 1.767 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.767 * [taylor]: Taking taylor expansion of 1/2 in y 1.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.767 * [taylor]: Taking taylor expansion of y in y 1.770 * [taylor]: Taking taylor expansion of 0 in y 1.772 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.772 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.772 * [taylor]: Taking taylor expansion of x in y 1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.772 * [taylor]: Taking taylor expansion of y in y 1.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.775 * [taylor]: Taking taylor expansion of x in x 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.775 * [taylor]: Taking taylor expansion of y in x 1.777 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.778 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.778 * [taylor]: Taking taylor expansion of y in x 1.780 * [taylor]: Taking taylor expansion of 1 in y 1.780 * [taylor]: Taking taylor expansion of 0 in y 1.783 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.783 * [taylor]: Taking taylor expansion of 1/2 in y 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.786 * [taylor]: Taking taylor expansion of 0 in y 1.787 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.788 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 1.788 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 1.788 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.788 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 1.788 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 1.788 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.788 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.788 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.788 * [taylor]: Taking taylor expansion of x in z 1.788 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.788 * [taylor]: Taking taylor expansion of y in z 1.789 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.789 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.789 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.789 * [taylor]: Taking taylor expansion of x in z 1.789 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.789 * [taylor]: Taking taylor expansion of y in z 1.790 * [taylor]: Taking taylor expansion of (* z z) in z 1.790 * [taylor]: Taking taylor expansion of z in z 1.790 * [taylor]: Taking taylor expansion of z in z 1.793 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 1.793 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.793 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 1.793 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 1.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.793 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.793 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.793 * [taylor]: Taking taylor expansion of x in y 1.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.793 * [taylor]: Taking taylor expansion of y in y 1.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.794 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.794 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.794 * [taylor]: Taking taylor expansion of x in y 1.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.794 * [taylor]: Taking taylor expansion of y in y 1.795 * [taylor]: Taking taylor expansion of (* z z) in y 1.795 * [taylor]: Taking taylor expansion of z in y 1.795 * [taylor]: Taking taylor expansion of z in y 1.795 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.796 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.796 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.796 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.796 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.796 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.796 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.797 * [taylor]: Taking taylor expansion of y in x 1.797 * [taylor]: Taking taylor expansion of (* z z) in x 1.797 * [taylor]: Taking taylor expansion of z in x 1.797 * [taylor]: Taking taylor expansion of z in x 1.798 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.798 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.798 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.798 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.798 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.798 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.798 * [taylor]: Taking taylor expansion of x in x 1.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.798 * [taylor]: Taking taylor expansion of y in x 1.799 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.799 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.799 * [taylor]: Taking taylor expansion of x in x 1.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.799 * [taylor]: Taking taylor expansion of y in x 1.800 * [taylor]: Taking taylor expansion of (* z z) in x 1.800 * [taylor]: Taking taylor expansion of z in x 1.800 * [taylor]: Taking taylor expansion of z in x 1.801 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.801 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.801 * [taylor]: Taking taylor expansion of y in y 1.801 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.801 * [taylor]: Taking taylor expansion of z in y 1.801 * [taylor]: Taking taylor expansion of z in z 1.801 * [taylor]: Taking taylor expansion of 0 in y 1.801 * [taylor]: Taking taylor expansion of 0 in z 1.801 * [taylor]: Taking taylor expansion of 0 in z 1.806 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.806 * [taylor]: Taking taylor expansion of 1/2 in y 1.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.806 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.806 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.806 * [taylor]: Taking taylor expansion of y in y 1.806 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.806 * [taylor]: Taking taylor expansion of z in y 1.807 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.807 * [taylor]: Taking taylor expansion of 1/2 in z 1.807 * [taylor]: Taking taylor expansion of z in z 1.808 * [taylor]: Taking taylor expansion of 0 in z 1.810 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.810 * [taylor]: Taking taylor expansion of 1/2 in z 1.810 * [taylor]: Taking taylor expansion of z in z 1.811 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 1.811 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 1.811 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.811 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 1.811 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.811 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.812 * [taylor]: Taking taylor expansion of x in z 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.812 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.812 * [taylor]: Taking taylor expansion of y in z 1.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.813 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.813 * [taylor]: Taking taylor expansion of x in z 1.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.813 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.813 * [taylor]: Taking taylor expansion of y in z 1.815 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.815 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.815 * [taylor]: Taking taylor expansion of z in z 1.815 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.815 * [taylor]: Taking taylor expansion of z in z 1.818 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 1.818 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.818 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y 1.818 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.818 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.818 * [taylor]: Taking taylor expansion of x in y 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.818 * [taylor]: Taking taylor expansion of y in y 1.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.821 * [taylor]: Taking taylor expansion of x in y 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.821 * [taylor]: Taking taylor expansion of y in y 1.824 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.824 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.824 * [taylor]: Taking taylor expansion of z in y 1.824 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.824 * [taylor]: Taking taylor expansion of z in y 1.826 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.826 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.826 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 1.826 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.827 * [taylor]: Taking taylor expansion of y in x 1.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.829 * [taylor]: Taking taylor expansion of x in x 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.830 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.830 * [taylor]: Taking taylor expansion of y in x 1.832 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.832 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.832 * [taylor]: Taking taylor expansion of z in x 1.832 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.832 * [taylor]: Taking taylor expansion of z in x 1.834 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.834 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.834 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 1.834 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.835 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.835 * [taylor]: Taking taylor expansion of y in x 1.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.838 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.838 * [taylor]: Taking taylor expansion of y in x 1.840 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.840 * [taylor]: Taking taylor expansion of z in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.840 * [taylor]: Taking taylor expansion of z in x 1.842 * [taylor]: Taking taylor expansion of 1 in y 1.842 * [taylor]: Taking taylor expansion of 0 in y 1.842 * [taylor]: Taking taylor expansion of 1 in z 1.848 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.849 * [taylor]: Taking taylor expansion of 1/2 in y 1.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.849 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.849 * [taylor]: Taking taylor expansion of z in y 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.849 * [taylor]: Taking taylor expansion of y in y 1.851 * [taylor]: Taking taylor expansion of 0 in z 1.851 * [taylor]: Taking taylor expansion of 0 in z 1.851 * [taylor]: Taking taylor expansion of 0 in z 1.864 * [taylor]: Taking taylor expansion of 0 in y 1.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.866 * [taylor]: Taking taylor expansion of 1/2 in z 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.866 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.866 * [taylor]: Taking taylor expansion of z in z 1.868 * [taylor]: Taking taylor expansion of 0 in z 1.868 * [taylor]: Taking taylor expansion of 0 in z 1.877 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.877 * [taylor]: Taking taylor expansion of -1/2 in y 1.877 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.877 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.877 * [taylor]: Taking taylor expansion of 1/4 in y 1.877 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.877 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.877 * [taylor]: Taking taylor expansion of z in y 1.878 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.878 * [taylor]: Taking taylor expansion of 1/2 in y 1.878 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.878 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.878 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.878 * [taylor]: Taking taylor expansion of z in y 1.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.878 * [taylor]: Taking taylor expansion of y in y 1.878 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.878 * [taylor]: Taking taylor expansion of 1/4 in y 1.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.878 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.878 * [taylor]: Taking taylor expansion of y in y 1.890 * [taylor]: Taking taylor expansion of 0 in z 1.890 * [taylor]: Taking taylor expansion of 0 in z 1.893 * [taylor]: Taking taylor expansion of 0 in z 1.893 * [taylor]: Taking taylor expansion of 0 in z 1.893 * [taylor]: Taking taylor expansion of 0 in z 1.895 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 1.895 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 1.895 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.895 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z 1.895 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 1.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.895 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.895 * [taylor]: Taking taylor expansion of x in z 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.895 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.895 * [taylor]: Taking taylor expansion of y in z 1.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.897 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.897 * [taylor]: Taking taylor expansion of x in z 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.897 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.897 * [taylor]: Taking taylor expansion of y in z 1.898 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.898 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.898 * [taylor]: Taking taylor expansion of -1 in z 1.898 * [taylor]: Taking taylor expansion of z in z 1.899 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.899 * [taylor]: Taking taylor expansion of -1 in z 1.899 * [taylor]: Taking taylor expansion of z in z 1.902 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 1.902 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.902 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y 1.902 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.903 * [taylor]: Taking taylor expansion of x in y 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.903 * [taylor]: Taking taylor expansion of y in y 1.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.905 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.906 * [taylor]: Taking taylor expansion of x in y 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.906 * [taylor]: Taking taylor expansion of y in y 1.908 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.908 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.908 * [taylor]: Taking taylor expansion of -1 in y 1.908 * [taylor]: Taking taylor expansion of z in y 1.908 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.909 * [taylor]: Taking taylor expansion of -1 in y 1.909 * [taylor]: Taking taylor expansion of z in y 1.910 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.911 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.911 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 1.911 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.911 * [taylor]: Taking taylor expansion of y in x 1.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.914 * [taylor]: Taking taylor expansion of x in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.914 * [taylor]: Taking taylor expansion of y in x 1.917 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.917 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.917 * [taylor]: Taking taylor expansion of -1 in x 1.917 * [taylor]: Taking taylor expansion of z in x 1.917 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.917 * [taylor]: Taking taylor expansion of -1 in x 1.917 * [taylor]: Taking taylor expansion of z in x 1.919 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.919 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.919 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 1.919 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.920 * [taylor]: Taking taylor expansion of y in x 1.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.923 * [taylor]: Taking taylor expansion of y in x 1.925 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.925 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.925 * [taylor]: Taking taylor expansion of -1 in x 1.925 * [taylor]: Taking taylor expansion of z in x 1.926 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.926 * [taylor]: Taking taylor expansion of -1 in x 1.926 * [taylor]: Taking taylor expansion of z in x 1.927 * [taylor]: Taking taylor expansion of 1 in y 1.928 * [taylor]: Taking taylor expansion of 0 in y 1.928 * [taylor]: Taking taylor expansion of 1 in z 1.934 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.934 * [taylor]: Taking taylor expansion of 1/2 in y 1.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.934 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.934 * [taylor]: Taking taylor expansion of z in y 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.934 * [taylor]: Taking taylor expansion of y in y 1.936 * [taylor]: Taking taylor expansion of 0 in z 1.936 * [taylor]: Taking taylor expansion of 0 in z 1.936 * [taylor]: Taking taylor expansion of 0 in z 1.942 * [taylor]: Taking taylor expansion of 0 in y 1.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.944 * [taylor]: Taking taylor expansion of 1/2 in z 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.944 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.944 * [taylor]: Taking taylor expansion of z in z 1.946 * [taylor]: Taking taylor expansion of 0 in z 1.946 * [taylor]: Taking taylor expansion of 0 in z 1.962 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.962 * [taylor]: Taking taylor expansion of -1/2 in y 1.962 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.962 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.962 * [taylor]: Taking taylor expansion of 1/4 in y 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.962 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.962 * [taylor]: Taking taylor expansion of z in y 1.962 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.962 * [taylor]: Taking taylor expansion of 1/2 in y 1.962 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.962 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.963 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.963 * [taylor]: Taking taylor expansion of z in y 1.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.963 * [taylor]: Taking taylor expansion of y in y 1.964 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.964 * [taylor]: Taking taylor expansion of 1/4 in y 1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.964 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.964 * [taylor]: Taking taylor expansion of y in y 1.977 * [taylor]: Taking taylor expansion of 0 in z 1.977 * [taylor]: Taking taylor expansion of 0 in z 1.980 * [taylor]: Taking taylor expansion of 0 in z 1.980 * [taylor]: Taking taylor expansion of 0 in z 1.980 * [taylor]: Taking taylor expansion of 0 in z 1.983 * * * [progress]: simplifying candidates 1.983 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) z x (* -1 x) 1.986 * * [simplify]: iteration 0 : 53 enodes (cost 389 ) 1.995 * * [simplify]: iteration 1 : 115 enodes (cost 220 ) 2.015 * * [simplify]: iteration 2 : 274 enodes (cost 194 ) 2.073 * * [simplify]: iteration 3 : 638 enodes (cost 188 ) 2.232 * * [simplify]: iteration 4 : 1416 enodes (cost 188 ) 2.727 * * [simplify]: iteration 5 : 4118 enodes (cost 188 ) 4.304 * * [simplify]: iteration done : 5001 enodes (cost 188 ) 4.304 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (fabs (cbrt (fma x x (* y y)))) (sqrt (cbrt (fma x x (* y y)))) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (fma (* y (+ x y)) (* y (- y x)) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma z z (fma x x (* y y))) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) y x (- x) z x (- x) 4.304 * * * [progress]: adding candidates to table 4.406 * * [progress]: iteration 3 / 4 4.407 * * * [progress]: picking best candidate 4.411 * * * * [pick]: Picked # 4.411 * * * [progress]: localizing error 4.418 * * * [progress]: generating rewritten candidates 4.418 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.418 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 4.421 * * * [progress]: generating series expansions 4.422 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.422 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 4.422 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 4.422 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 4.422 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 4.422 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 4.422 * [taylor]: Taking taylor expansion of (hypot x y) in z 4.422 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.422 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 4.422 * [taylor]: Taking taylor expansion of (* x x) in z 4.422 * [taylor]: Taking taylor expansion of x in z 4.422 * [taylor]: Taking taylor expansion of x in z 4.422 * [taylor]: Taking taylor expansion of (* y y) in z 4.422 * [taylor]: Taking taylor expansion of y in z 4.422 * [taylor]: Taking taylor expansion of y in z 4.423 * [taylor]: Taking taylor expansion of (hypot x y) in z 4.423 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.423 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 4.423 * [taylor]: Taking taylor expansion of (* x x) in z 4.423 * [taylor]: Taking taylor expansion of x in z 4.423 * [taylor]: Taking taylor expansion of x in z 4.423 * [taylor]: Taking taylor expansion of (* y y) in z 4.424 * [taylor]: Taking taylor expansion of y in z 4.424 * [taylor]: Taking taylor expansion of y in z 4.425 * [taylor]: Taking taylor expansion of (* z z) in z 4.425 * [taylor]: Taking taylor expansion of z in z 4.425 * [taylor]: Taking taylor expansion of z in z 4.427 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 4.427 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 4.427 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 4.427 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 4.427 * [taylor]: Taking taylor expansion of (hypot x y) in y 4.427 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.427 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 4.427 * [taylor]: Taking taylor expansion of (* x x) in y 4.427 * [taylor]: Taking taylor expansion of x in y 4.427 * [taylor]: Taking taylor expansion of x in y 4.427 * [taylor]: Taking taylor expansion of (* y y) in y 4.427 * [taylor]: Taking taylor expansion of y in y 4.427 * [taylor]: Taking taylor expansion of y in y 4.429 * [taylor]: Taking taylor expansion of (hypot x y) in y 4.429 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.429 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 4.429 * [taylor]: Taking taylor expansion of (* x x) in y 4.429 * [taylor]: Taking taylor expansion of x in y 4.429 * [taylor]: Taking taylor expansion of x in y 4.429 * [taylor]: Taking taylor expansion of (* y y) in y 4.429 * [taylor]: Taking taylor expansion of y in y 4.429 * [taylor]: Taking taylor expansion of y in y 4.430 * [taylor]: Taking taylor expansion of (* z z) in y 4.430 * [taylor]: Taking taylor expansion of z in y 4.430 * [taylor]: Taking taylor expansion of z in y 4.431 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 4.431 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 4.431 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 4.431 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 4.432 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.432 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.432 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.432 * [taylor]: Taking taylor expansion of (* x x) in x 4.432 * [taylor]: Taking taylor expansion of x in x 4.432 * [taylor]: Taking taylor expansion of x in x 4.432 * [taylor]: Taking taylor expansion of (* y y) in x 4.432 * [taylor]: Taking taylor expansion of y in x 4.432 * [taylor]: Taking taylor expansion of y in x 4.433 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.433 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.433 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.433 * [taylor]: Taking taylor expansion of (* x x) in x 4.433 * [taylor]: Taking taylor expansion of x in x 4.433 * [taylor]: Taking taylor expansion of x in x 4.433 * [taylor]: Taking taylor expansion of (* y y) in x 4.433 * [taylor]: Taking taylor expansion of y in x 4.433 * [taylor]: Taking taylor expansion of y in x 4.435 * [taylor]: Taking taylor expansion of (* z z) in x 4.435 * [taylor]: Taking taylor expansion of z in x 4.435 * [taylor]: Taking taylor expansion of z in x 4.436 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 4.436 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 4.436 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 4.436 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 4.436 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.436 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.436 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.436 * [taylor]: Taking taylor expansion of (* x x) in x 4.436 * [taylor]: Taking taylor expansion of x in x 4.436 * [taylor]: Taking taylor expansion of x in x 4.436 * [taylor]: Taking taylor expansion of (* y y) in x 4.436 * [taylor]: Taking taylor expansion of y in x 4.436 * [taylor]: Taking taylor expansion of y in x 4.438 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.438 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.438 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.438 * [taylor]: Taking taylor expansion of (* x x) in x 4.438 * [taylor]: Taking taylor expansion of x in x 4.438 * [taylor]: Taking taylor expansion of x in x 4.438 * [taylor]: Taking taylor expansion of (* y y) in x 4.438 * [taylor]: Taking taylor expansion of y in x 4.438 * [taylor]: Taking taylor expansion of y in x 4.439 * [taylor]: Taking taylor expansion of (* z z) in x 4.439 * [taylor]: Taking taylor expansion of z in x 4.439 * [taylor]: Taking taylor expansion of z in x 4.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 4.440 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 4.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.440 * [taylor]: Taking taylor expansion of y in y 4.440 * [taylor]: Taking taylor expansion of (pow z 2) in y 4.440 * [taylor]: Taking taylor expansion of z in y 4.441 * [taylor]: Taking taylor expansion of z in z 4.441 * [taylor]: Taking taylor expansion of 0 in y 4.441 * [taylor]: Taking taylor expansion of 0 in z 4.441 * [taylor]: Taking taylor expansion of 0 in z 4.446 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 4.446 * [taylor]: Taking taylor expansion of 1/2 in y 4.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 4.446 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 4.446 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 4.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.446 * [taylor]: Taking taylor expansion of y in y 4.446 * [taylor]: Taking taylor expansion of (pow z 2) in y 4.446 * [taylor]: Taking taylor expansion of z in y 4.447 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 4.447 * [taylor]: Taking taylor expansion of 1/2 in z 4.447 * [taylor]: Taking taylor expansion of z in z 4.448 * [taylor]: Taking taylor expansion of 0 in z 4.449 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 4.449 * [taylor]: Taking taylor expansion of 1/2 in z 4.449 * [taylor]: Taking taylor expansion of z in z 4.450 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 4.451 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 4.451 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 4.451 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 4.451 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 4.451 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 4.451 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.451 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 4.451 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 4.451 * [taylor]: Taking taylor expansion of (/ 1 x) in z 4.451 * [taylor]: Taking taylor expansion of x in z 4.451 * [taylor]: Taking taylor expansion of (/ 1 x) in z 4.451 * [taylor]: Taking taylor expansion of x in z 4.451 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 4.451 * [taylor]: Taking taylor expansion of (/ 1 y) in z 4.451 * [taylor]: Taking taylor expansion of y in z 4.451 * [taylor]: Taking taylor expansion of (/ 1 y) in z 4.451 * [taylor]: Taking taylor expansion of y in z 4.452 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 4.453 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.453 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 4.453 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 4.453 * [taylor]: Taking taylor expansion of (/ 1 x) in z 4.453 * [taylor]: Taking taylor expansion of x in z 4.453 * [taylor]: Taking taylor expansion of (/ 1 x) in z 4.453 * [taylor]: Taking taylor expansion of x in z 4.453 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 4.453 * [taylor]: Taking taylor expansion of (/ 1 y) in z 4.453 * [taylor]: Taking taylor expansion of y in z 4.453 * [taylor]: Taking taylor expansion of (/ 1 y) in z 4.453 * [taylor]: Taking taylor expansion of y in z 4.454 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 4.454 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.454 * [taylor]: Taking taylor expansion of z in z 4.455 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.455 * [taylor]: Taking taylor expansion of z in z 4.458 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 4.458 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 4.458 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 4.458 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 4.458 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 4.458 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.458 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 4.458 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 4.458 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.458 * [taylor]: Taking taylor expansion of x in y 4.458 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.458 * [taylor]: Taking taylor expansion of x in y 4.458 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 4.458 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.458 * [taylor]: Taking taylor expansion of y in y 4.458 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.458 * [taylor]: Taking taylor expansion of y in y 4.462 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 4.462 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.462 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 4.462 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 4.462 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.462 * [taylor]: Taking taylor expansion of x in y 4.462 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.462 * [taylor]: Taking taylor expansion of x in y 4.462 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 4.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.462 * [taylor]: Taking taylor expansion of y in y 4.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.462 * [taylor]: Taking taylor expansion of y in y 4.465 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 4.465 * [taylor]: Taking taylor expansion of (/ 1 z) in y 4.465 * [taylor]: Taking taylor expansion of z in y 4.465 * [taylor]: Taking taylor expansion of (/ 1 z) in y 4.465 * [taylor]: Taking taylor expansion of z in y 4.467 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 4.467 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 4.467 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 4.467 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 4.467 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.467 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.467 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.467 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.467 * [taylor]: Taking taylor expansion of x in x 4.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.468 * [taylor]: Taking taylor expansion of x in x 4.468 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.468 * [taylor]: Taking taylor expansion of y in x 4.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.468 * [taylor]: Taking taylor expansion of y in x 4.471 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.471 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.471 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.471 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.471 * [taylor]: Taking taylor expansion of x in x 4.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.471 * [taylor]: Taking taylor expansion of x in x 4.472 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.472 * [taylor]: Taking taylor expansion of y in x 4.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.472 * [taylor]: Taking taylor expansion of y in x 4.474 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 4.474 * [taylor]: Taking taylor expansion of (/ 1 z) in x 4.474 * [taylor]: Taking taylor expansion of z in x 4.474 * [taylor]: Taking taylor expansion of (/ 1 z) in x 4.474 * [taylor]: Taking taylor expansion of z in x 4.476 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 4.476 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 4.476 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 4.477 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 4.477 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.477 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.477 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.477 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.477 * [taylor]: Taking taylor expansion of x in x 4.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.477 * [taylor]: Taking taylor expansion of x in x 4.477 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.477 * [taylor]: Taking taylor expansion of y in x 4.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.477 * [taylor]: Taking taylor expansion of y in x 4.480 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.480 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.480 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.480 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.480 * [taylor]: Taking taylor expansion of x in x 4.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.481 * [taylor]: Taking taylor expansion of x in x 4.481 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.481 * [taylor]: Taking taylor expansion of y in x 4.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.481 * [taylor]: Taking taylor expansion of y in x 4.484 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 4.484 * [taylor]: Taking taylor expansion of (/ 1 z) in x 4.484 * [taylor]: Taking taylor expansion of z in x 4.484 * [taylor]: Taking taylor expansion of (/ 1 z) in x 4.484 * [taylor]: Taking taylor expansion of z in x 4.486 * [taylor]: Taking taylor expansion of 1 in y 4.486 * [taylor]: Taking taylor expansion of 0 in y 4.486 * [taylor]: Taking taylor expansion of 1 in z 4.493 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 4.493 * [taylor]: Taking taylor expansion of 1/2 in y 4.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 4.493 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 4.493 * [taylor]: Taking taylor expansion of (pow z 2) in y 4.493 * [taylor]: Taking taylor expansion of z in y 4.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.494 * [taylor]: Taking taylor expansion of y in y 4.496 * [taylor]: Taking taylor expansion of 0 in z 4.496 * [taylor]: Taking taylor expansion of 0 in z 4.496 * [taylor]: Taking taylor expansion of 0 in z 4.503 * [taylor]: Taking taylor expansion of 0 in y 4.505 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 4.505 * [taylor]: Taking taylor expansion of 1/2 in z 4.505 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 4.505 * [taylor]: Taking taylor expansion of (pow z 2) in z 4.505 * [taylor]: Taking taylor expansion of z in z 4.507 * [taylor]: Taking taylor expansion of 0 in z 4.507 * [taylor]: Taking taylor expansion of 0 in z 4.517 * [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 4.517 * [taylor]: Taking taylor expansion of -1/2 in y 4.517 * [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 4.518 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 4.518 * [taylor]: Taking taylor expansion of 1/4 in y 4.518 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 4.518 * [taylor]: Taking taylor expansion of (pow z 4) in y 4.518 * [taylor]: Taking taylor expansion of z in y 4.518 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 4.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 4.518 * [taylor]: Taking taylor expansion of 1/2 in y 4.518 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 4.518 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 4.518 * [taylor]: Taking taylor expansion of (pow z 2) in y 4.518 * [taylor]: Taking taylor expansion of z in y 4.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.518 * [taylor]: Taking taylor expansion of y in y 4.519 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 4.519 * [taylor]: Taking taylor expansion of 1/4 in y 4.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.519 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.519 * [taylor]: Taking taylor expansion of y in y 4.536 * [taylor]: Taking taylor expansion of 0 in z 4.536 * [taylor]: Taking taylor expansion of 0 in z 4.539 * [taylor]: Taking taylor expansion of 0 in z 4.539 * [taylor]: Taking taylor expansion of 0 in z 4.539 * [taylor]: Taking taylor expansion of 0 in z 4.541 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 4.541 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 4.541 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 4.541 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 4.541 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 4.541 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 4.541 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.541 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 4.541 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 4.541 * [taylor]: Taking taylor expansion of (/ -1 x) in z 4.541 * [taylor]: Taking taylor expansion of -1 in z 4.541 * [taylor]: Taking taylor expansion of x in z 4.541 * [taylor]: Taking taylor expansion of (/ -1 x) in z 4.541 * [taylor]: Taking taylor expansion of -1 in z 4.542 * [taylor]: Taking taylor expansion of x in z 4.542 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 4.542 * [taylor]: Taking taylor expansion of (/ -1 y) in z 4.542 * [taylor]: Taking taylor expansion of -1 in z 4.542 * [taylor]: Taking taylor expansion of y in z 4.542 * [taylor]: Taking taylor expansion of (/ -1 y) in z 4.542 * [taylor]: Taking taylor expansion of -1 in z 4.542 * [taylor]: Taking taylor expansion of y in z 4.543 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 4.543 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.543 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 4.543 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 4.543 * [taylor]: Taking taylor expansion of (/ -1 x) in z 4.543 * [taylor]: Taking taylor expansion of -1 in z 4.543 * [taylor]: Taking taylor expansion of x in z 4.543 * [taylor]: Taking taylor expansion of (/ -1 x) in z 4.543 * [taylor]: Taking taylor expansion of -1 in z 4.543 * [taylor]: Taking taylor expansion of x in z 4.543 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 4.543 * [taylor]: Taking taylor expansion of (/ -1 y) in z 4.543 * [taylor]: Taking taylor expansion of -1 in z 4.544 * [taylor]: Taking taylor expansion of y in z 4.544 * [taylor]: Taking taylor expansion of (/ -1 y) in z 4.544 * [taylor]: Taking taylor expansion of -1 in z 4.544 * [taylor]: Taking taylor expansion of y in z 4.545 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 4.545 * [taylor]: Taking taylor expansion of (/ -1 z) in z 4.545 * [taylor]: Taking taylor expansion of -1 in z 4.545 * [taylor]: Taking taylor expansion of z in z 4.545 * [taylor]: Taking taylor expansion of (/ -1 z) in z 4.545 * [taylor]: Taking taylor expansion of -1 in z 4.546 * [taylor]: Taking taylor expansion of z in z 4.549 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 4.549 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 4.549 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 4.549 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 4.549 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 4.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.549 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 4.549 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 4.549 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.549 * [taylor]: Taking taylor expansion of -1 in y 4.549 * [taylor]: Taking taylor expansion of x in y 4.549 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.549 * [taylor]: Taking taylor expansion of -1 in y 4.549 * [taylor]: Taking taylor expansion of x in y 4.549 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 4.549 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.549 * [taylor]: Taking taylor expansion of -1 in y 4.549 * [taylor]: Taking taylor expansion of y in y 4.550 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.550 * [taylor]: Taking taylor expansion of -1 in y 4.550 * [taylor]: Taking taylor expansion of y in y 4.553 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 4.553 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.553 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 4.553 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 4.553 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.553 * [taylor]: Taking taylor expansion of -1 in y 4.553 * [taylor]: Taking taylor expansion of x in y 4.553 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.553 * [taylor]: Taking taylor expansion of -1 in y 4.553 * [taylor]: Taking taylor expansion of x in y 4.553 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 4.553 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.553 * [taylor]: Taking taylor expansion of -1 in y 4.553 * [taylor]: Taking taylor expansion of y in y 4.554 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.554 * [taylor]: Taking taylor expansion of -1 in y 4.554 * [taylor]: Taking taylor expansion of y in y 4.557 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 4.557 * [taylor]: Taking taylor expansion of (/ -1 z) in y 4.557 * [taylor]: Taking taylor expansion of -1 in y 4.557 * [taylor]: Taking taylor expansion of z in y 4.557 * [taylor]: Taking taylor expansion of (/ -1 z) in y 4.557 * [taylor]: Taking taylor expansion of -1 in y 4.557 * [taylor]: Taking taylor expansion of z in y 4.559 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 4.559 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 4.559 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 4.559 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 4.559 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.559 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.559 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.559 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.560 * [taylor]: Taking taylor expansion of -1 in x 4.560 * [taylor]: Taking taylor expansion of x in x 4.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.560 * [taylor]: Taking taylor expansion of -1 in x 4.560 * [taylor]: Taking taylor expansion of x in x 4.560 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.561 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.561 * [taylor]: Taking taylor expansion of -1 in x 4.561 * [taylor]: Taking taylor expansion of y in x 4.561 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.561 * [taylor]: Taking taylor expansion of -1 in x 4.561 * [taylor]: Taking taylor expansion of y in x 4.564 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.564 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.564 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.564 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.564 * [taylor]: Taking taylor expansion of -1 in x 4.564 * [taylor]: Taking taylor expansion of x in x 4.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.564 * [taylor]: Taking taylor expansion of -1 in x 4.564 * [taylor]: Taking taylor expansion of x in x 4.565 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.565 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.565 * [taylor]: Taking taylor expansion of -1 in x 4.565 * [taylor]: Taking taylor expansion of y in x 4.565 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.565 * [taylor]: Taking taylor expansion of -1 in x 4.565 * [taylor]: Taking taylor expansion of y in x 4.568 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 4.568 * [taylor]: Taking taylor expansion of (/ -1 z) in x 4.568 * [taylor]: Taking taylor expansion of -1 in x 4.568 * [taylor]: Taking taylor expansion of z in x 4.568 * [taylor]: Taking taylor expansion of (/ -1 z) in x 4.568 * [taylor]: Taking taylor expansion of -1 in x 4.568 * [taylor]: Taking taylor expansion of z in x 4.570 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 4.570 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 4.570 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 4.570 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 4.570 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.570 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.570 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.570 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.570 * [taylor]: Taking taylor expansion of -1 in x 4.570 * [taylor]: Taking taylor expansion of x in x 4.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.570 * [taylor]: Taking taylor expansion of -1 in x 4.570 * [taylor]: Taking taylor expansion of x in x 4.571 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.571 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.571 * [taylor]: Taking taylor expansion of -1 in x 4.571 * [taylor]: Taking taylor expansion of y in x 4.571 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.571 * [taylor]: Taking taylor expansion of -1 in x 4.571 * [taylor]: Taking taylor expansion of y in x 4.574 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.574 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.574 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.574 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.574 * [taylor]: Taking taylor expansion of -1 in x 4.574 * [taylor]: Taking taylor expansion of x in x 4.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.575 * [taylor]: Taking taylor expansion of -1 in x 4.575 * [taylor]: Taking taylor expansion of x in x 4.575 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.575 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.575 * [taylor]: Taking taylor expansion of -1 in x 4.575 * [taylor]: Taking taylor expansion of y in x 4.575 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.575 * [taylor]: Taking taylor expansion of -1 in x 4.575 * [taylor]: Taking taylor expansion of y in x 4.578 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 4.578 * [taylor]: Taking taylor expansion of (/ -1 z) in x 4.578 * [taylor]: Taking taylor expansion of -1 in x 4.578 * [taylor]: Taking taylor expansion of z in x 4.578 * [taylor]: Taking taylor expansion of (/ -1 z) in x 4.578 * [taylor]: Taking taylor expansion of -1 in x 4.578 * [taylor]: Taking taylor expansion of z in x 4.580 * [taylor]: Taking taylor expansion of 1 in y 4.580 * [taylor]: Taking taylor expansion of 0 in y 4.580 * [taylor]: Taking taylor expansion of 1 in z 4.587 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 4.587 * [taylor]: Taking taylor expansion of 1/2 in y 4.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 4.587 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 4.587 * [taylor]: Taking taylor expansion of (pow z 2) in y 4.587 * [taylor]: Taking taylor expansion of z in y 4.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.587 * [taylor]: Taking taylor expansion of y in y 4.589 * [taylor]: Taking taylor expansion of 0 in z 4.589 * [taylor]: Taking taylor expansion of 0 in z 4.589 * [taylor]: Taking taylor expansion of 0 in z 4.596 * [taylor]: Taking taylor expansion of 0 in y 4.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 4.598 * [taylor]: Taking taylor expansion of 1/2 in z 4.598 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 4.598 * [taylor]: Taking taylor expansion of (pow z 2) in z 4.598 * [taylor]: Taking taylor expansion of z in z 4.600 * [taylor]: Taking taylor expansion of 0 in z 4.600 * [taylor]: Taking taylor expansion of 0 in z 4.610 * [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 4.610 * [taylor]: Taking taylor expansion of -1/2 in y 4.610 * [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 4.610 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 4.610 * [taylor]: Taking taylor expansion of 1/4 in y 4.610 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 4.610 * [taylor]: Taking taylor expansion of (pow z 4) in y 4.610 * [taylor]: Taking taylor expansion of z in y 4.611 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 4.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 4.611 * [taylor]: Taking taylor expansion of 1/2 in y 4.611 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 4.611 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 4.611 * [taylor]: Taking taylor expansion of (pow z 2) in y 4.611 * [taylor]: Taking taylor expansion of z in y 4.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.611 * [taylor]: Taking taylor expansion of y in y 4.612 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 4.612 * [taylor]: Taking taylor expansion of 1/4 in y 4.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.612 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.612 * [taylor]: Taking taylor expansion of y in y 4.629 * [taylor]: Taking taylor expansion of 0 in z 4.629 * [taylor]: Taking taylor expansion of 0 in z 4.632 * [taylor]: Taking taylor expansion of 0 in z 4.632 * [taylor]: Taking taylor expansion of 0 in z 4.632 * [taylor]: Taking taylor expansion of 0 in z 4.634 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 4.634 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 4.634 * [taylor]: Taking taylor expansion of (hypot x y) in y 4.634 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.634 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 4.634 * [taylor]: Taking taylor expansion of (* x x) in y 4.634 * [taylor]: Taking taylor expansion of x in y 4.634 * [taylor]: Taking taylor expansion of x in y 4.634 * [taylor]: Taking taylor expansion of (* y y) in y 4.634 * [taylor]: Taking taylor expansion of y in y 4.634 * [taylor]: Taking taylor expansion of y in y 4.636 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.636 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.636 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.636 * [taylor]: Taking taylor expansion of (* x x) in x 4.636 * [taylor]: Taking taylor expansion of x in x 4.636 * [taylor]: Taking taylor expansion of x in x 4.636 * [taylor]: Taking taylor expansion of (* y y) in x 4.636 * [taylor]: Taking taylor expansion of y in x 4.636 * [taylor]: Taking taylor expansion of y in x 4.637 * [taylor]: Taking taylor expansion of (hypot x y) in x 4.637 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 4.637 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 4.637 * [taylor]: Taking taylor expansion of (* x x) in x 4.637 * [taylor]: Taking taylor expansion of x in x 4.637 * [taylor]: Taking taylor expansion of x in x 4.637 * [taylor]: Taking taylor expansion of (* y y) in x 4.637 * [taylor]: Taking taylor expansion of y in x 4.637 * [taylor]: Taking taylor expansion of y in x 4.639 * [taylor]: Taking taylor expansion of y in y 4.639 * [taylor]: Taking taylor expansion of 0 in y 4.640 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.640 * [taylor]: Taking taylor expansion of 1/2 in y 4.640 * [taylor]: Taking taylor expansion of y in y 4.643 * [taylor]: Taking taylor expansion of 0 in y 4.644 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 4.644 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 4.644 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.644 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 4.644 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 4.644 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.644 * [taylor]: Taking taylor expansion of x in y 4.644 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.644 * [taylor]: Taking taylor expansion of x in y 4.644 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 4.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.644 * [taylor]: Taking taylor expansion of y in y 4.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.644 * [taylor]: Taking taylor expansion of y in y 4.647 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.647 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.647 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.647 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.648 * [taylor]: Taking taylor expansion of x in x 4.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.648 * [taylor]: Taking taylor expansion of x in x 4.648 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.648 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.648 * [taylor]: Taking taylor expansion of y in x 4.648 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.648 * [taylor]: Taking taylor expansion of y in x 4.651 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 4.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 4.651 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 4.651 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.651 * [taylor]: Taking taylor expansion of x in x 4.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.652 * [taylor]: Taking taylor expansion of x in x 4.652 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.652 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.652 * [taylor]: Taking taylor expansion of y in x 4.652 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.652 * [taylor]: Taking taylor expansion of y in x 4.655 * [taylor]: Taking taylor expansion of 1 in y 4.655 * [taylor]: Taking taylor expansion of 0 in y 4.658 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.658 * [taylor]: Taking taylor expansion of 1/2 in y 4.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.658 * [taylor]: Taking taylor expansion of y in y 4.662 * [taylor]: Taking taylor expansion of 0 in y 4.663 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 4.663 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 4.664 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.664 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 4.664 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 4.664 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.664 * [taylor]: Taking taylor expansion of -1 in y 4.664 * [taylor]: Taking taylor expansion of x in y 4.664 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.664 * [taylor]: Taking taylor expansion of -1 in y 4.664 * [taylor]: Taking taylor expansion of x in y 4.664 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 4.664 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.664 * [taylor]: Taking taylor expansion of -1 in y 4.664 * [taylor]: Taking taylor expansion of y in y 4.664 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.664 * [taylor]: Taking taylor expansion of -1 in y 4.664 * [taylor]: Taking taylor expansion of y in y 4.667 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.667 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.667 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.668 * [taylor]: Taking taylor expansion of -1 in x 4.668 * [taylor]: Taking taylor expansion of x in x 4.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.668 * [taylor]: Taking taylor expansion of -1 in x 4.668 * [taylor]: Taking taylor expansion of x in x 4.668 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.668 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.668 * [taylor]: Taking taylor expansion of -1 in x 4.668 * [taylor]: Taking taylor expansion of y in x 4.668 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.668 * [taylor]: Taking taylor expansion of -1 in x 4.668 * [taylor]: Taking taylor expansion of y in x 4.671 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 4.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 4.672 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 4.672 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.672 * [taylor]: Taking taylor expansion of -1 in x 4.672 * [taylor]: Taking taylor expansion of x in x 4.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.672 * [taylor]: Taking taylor expansion of -1 in x 4.672 * [taylor]: Taking taylor expansion of x in x 4.672 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.672 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.672 * [taylor]: Taking taylor expansion of -1 in x 4.672 * [taylor]: Taking taylor expansion of y in x 4.672 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.672 * [taylor]: Taking taylor expansion of -1 in x 4.672 * [taylor]: Taking taylor expansion of y in x 4.675 * [taylor]: Taking taylor expansion of 1 in y 4.675 * [taylor]: Taking taylor expansion of 0 in y 4.678 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.678 * [taylor]: Taking taylor expansion of 1/2 in y 4.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.678 * [taylor]: Taking taylor expansion of y in y 4.683 * [taylor]: Taking taylor expansion of 0 in y 4.684 * * * [progress]: simplifying candidates 4.684 * [simplify]: Simplifying using # : (expm1 (hypot (* 1 (hypot x y)) z)) (log1p (hypot (* 1 (hypot x y)) z)) (+ (* (* 1 (hypot x y)) (* 1 (hypot x y))) (* z z)) (log (hypot (* 1 (hypot x y)) z)) (exp (hypot (* 1 (hypot x y)) z)) (* (cbrt (hypot (* 1 (hypot x y)) z)) (cbrt (hypot (* 1 (hypot x y)) z))) (cbrt (hypot (* 1 (hypot x y)) z)) (* (* (hypot (* 1 (hypot x y)) z) (hypot (* 1 (hypot x y)) z)) (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) z x (* -1 x) y x (* -1 x) 4.686 * * [simplify]: iteration 0 : 33 enodes (cost 176 ) 4.691 * * [simplify]: iteration 1 : 50 enodes (cost 144 ) 4.701 * * [simplify]: iteration 2 : 74 enodes (cost 128 ) 4.724 * * [simplify]: iteration 3 : 105 enodes (cost 128 ) 4.755 * * [simplify]: iteration 4 : 193 enodes (cost 128 ) 4.891 * * [simplify]: iteration 5 : 808 enodes (cost 128 ) 6.411 * * [simplify]: iteration done : 5001 enodes (cost 128 ) 6.411 * [simplify]: Simplified to: (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma (hypot x y) (hypot x y) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) z x (- x) y x (- x) 6.411 * * * [progress]: adding candidates to table 6.491 * * [progress]: iteration 4 / 4 6.491 * * * [progress]: picking best candidate 6.493 * * * * [pick]: Picked # 6.493 * * * [progress]: localizing error 6.501 * * * [progress]: generating rewritten candidates 6.501 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.508 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 6.509 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 6.509 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 6.512 * * * [progress]: generating series expansions 6.512 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.512 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 6.512 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 6.512 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.512 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 6.512 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 6.512 * [taylor]: Taking taylor expansion of (hypot x y) in z 6.512 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.512 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 6.512 * [taylor]: Taking taylor expansion of (* x x) in z 6.512 * [taylor]: Taking taylor expansion of x in z 6.512 * [taylor]: Taking taylor expansion of x in z 6.512 * [taylor]: Taking taylor expansion of (* y y) in z 6.512 * [taylor]: Taking taylor expansion of y in z 6.512 * [taylor]: Taking taylor expansion of y in z 6.513 * [taylor]: Taking taylor expansion of (hypot x y) in z 6.514 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.514 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 6.514 * [taylor]: Taking taylor expansion of (* x x) in z 6.514 * [taylor]: Taking taylor expansion of x in z 6.514 * [taylor]: Taking taylor expansion of x in z 6.514 * [taylor]: Taking taylor expansion of (* y y) in z 6.514 * [taylor]: Taking taylor expansion of y in z 6.514 * [taylor]: Taking taylor expansion of y in z 6.515 * [taylor]: Taking taylor expansion of (* z z) in z 6.515 * [taylor]: Taking taylor expansion of z in z 6.515 * [taylor]: Taking taylor expansion of z in z 6.517 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 6.517 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.517 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 6.517 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 6.517 * [taylor]: Taking taylor expansion of (hypot x y) in y 6.517 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.517 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 6.517 * [taylor]: Taking taylor expansion of (* x x) in y 6.517 * [taylor]: Taking taylor expansion of x in y 6.517 * [taylor]: Taking taylor expansion of x in y 6.517 * [taylor]: Taking taylor expansion of (* y y) in y 6.517 * [taylor]: Taking taylor expansion of y in y 6.517 * [taylor]: Taking taylor expansion of y in y 6.519 * [taylor]: Taking taylor expansion of (hypot x y) in y 6.519 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.519 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 6.519 * [taylor]: Taking taylor expansion of (* x x) in y 6.519 * [taylor]: Taking taylor expansion of x in y 6.519 * [taylor]: Taking taylor expansion of x in y 6.519 * [taylor]: Taking taylor expansion of (* y y) in y 6.519 * [taylor]: Taking taylor expansion of y in y 6.519 * [taylor]: Taking taylor expansion of y in y 6.521 * [taylor]: Taking taylor expansion of (* z z) in y 6.521 * [taylor]: Taking taylor expansion of z in y 6.521 * [taylor]: Taking taylor expansion of z in y 6.522 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 6.522 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.522 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 6.522 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 6.522 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.522 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.522 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.522 * [taylor]: Taking taylor expansion of (* x x) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [taylor]: Taking taylor expansion of (* y y) in x 6.522 * [taylor]: Taking taylor expansion of y in x 6.522 * [taylor]: Taking taylor expansion of y in x 6.523 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.524 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.524 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.524 * [taylor]: Taking taylor expansion of (* x x) in x 6.524 * [taylor]: Taking taylor expansion of x in x 6.524 * [taylor]: Taking taylor expansion of x in x 6.524 * [taylor]: Taking taylor expansion of (* y y) in x 6.524 * [taylor]: Taking taylor expansion of y in x 6.524 * [taylor]: Taking taylor expansion of y in x 6.525 * [taylor]: Taking taylor expansion of (* z z) in x 6.525 * [taylor]: Taking taylor expansion of z in x 6.525 * [taylor]: Taking taylor expansion of z in x 6.526 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 6.526 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.526 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 6.526 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 6.526 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.527 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.527 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.527 * [taylor]: Taking taylor expansion of (* x x) in x 6.527 * [taylor]: Taking taylor expansion of x in x 6.527 * [taylor]: Taking taylor expansion of x in x 6.527 * [taylor]: Taking taylor expansion of (* y y) in x 6.527 * [taylor]: Taking taylor expansion of y in x 6.527 * [taylor]: Taking taylor expansion of y in x 6.528 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.528 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.528 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.528 * [taylor]: Taking taylor expansion of (* x x) in x 6.528 * [taylor]: Taking taylor expansion of x in x 6.528 * [taylor]: Taking taylor expansion of x in x 6.528 * [taylor]: Taking taylor expansion of (* y y) in x 6.528 * [taylor]: Taking taylor expansion of y in x 6.528 * [taylor]: Taking taylor expansion of y in x 6.530 * [taylor]: Taking taylor expansion of (* z z) in x 6.530 * [taylor]: Taking taylor expansion of z in x 6.530 * [taylor]: Taking taylor expansion of z in x 6.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 6.531 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 6.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.531 * [taylor]: Taking taylor expansion of y in y 6.531 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.531 * [taylor]: Taking taylor expansion of z in y 6.532 * [taylor]: Taking taylor expansion of z in z 6.532 * [taylor]: Taking taylor expansion of 0 in y 6.532 * [taylor]: Taking taylor expansion of 0 in z 6.532 * [taylor]: Taking taylor expansion of 0 in z 6.536 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 6.536 * [taylor]: Taking taylor expansion of 1/2 in y 6.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 6.536 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 6.536 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 6.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.536 * [taylor]: Taking taylor expansion of y in y 6.536 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.537 * [taylor]: Taking taylor expansion of z in y 6.537 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 6.538 * [taylor]: Taking taylor expansion of 1/2 in z 6.538 * [taylor]: Taking taylor expansion of z in z 6.538 * [taylor]: Taking taylor expansion of 0 in z 6.540 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 6.540 * [taylor]: Taking taylor expansion of 1/2 in z 6.540 * [taylor]: Taking taylor expansion of z in z 6.541 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 6.541 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 6.541 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.541 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 6.542 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 6.542 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 6.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.542 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 6.542 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 6.542 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.542 * [taylor]: Taking taylor expansion of x in z 6.542 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.542 * [taylor]: Taking taylor expansion of x in z 6.542 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 6.542 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.542 * [taylor]: Taking taylor expansion of y in z 6.542 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.542 * [taylor]: Taking taylor expansion of y in z 6.543 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 6.543 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.543 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 6.543 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 6.543 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.543 * [taylor]: Taking taylor expansion of x in z 6.544 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.544 * [taylor]: Taking taylor expansion of x in z 6.544 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 6.544 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.544 * [taylor]: Taking taylor expansion of y in z 6.544 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.544 * [taylor]: Taking taylor expansion of y in z 6.545 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 6.545 * [taylor]: Taking taylor expansion of (/ 1 z) in z 6.545 * [taylor]: Taking taylor expansion of z in z 6.545 * [taylor]: Taking taylor expansion of (/ 1 z) in z 6.546 * [taylor]: Taking taylor expansion of z in z 6.548 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 6.549 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.549 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 6.549 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 6.549 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 6.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.549 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 6.549 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.549 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.549 * [taylor]: Taking taylor expansion of x in y 6.549 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.549 * [taylor]: Taking taylor expansion of x in y 6.549 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.549 * [taylor]: Taking taylor expansion of y in y 6.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.549 * [taylor]: Taking taylor expansion of y in y 6.552 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 6.552 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.552 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 6.552 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.552 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.552 * [taylor]: Taking taylor expansion of x in y 6.552 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.552 * [taylor]: Taking taylor expansion of x in y 6.553 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.553 * [taylor]: Taking taylor expansion of y in y 6.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.553 * [taylor]: Taking taylor expansion of y in y 6.556 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 6.556 * [taylor]: Taking taylor expansion of (/ 1 z) in y 6.556 * [taylor]: Taking taylor expansion of z in y 6.556 * [taylor]: Taking taylor expansion of (/ 1 z) in y 6.556 * [taylor]: Taking taylor expansion of z in y 6.558 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 6.558 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.558 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 6.558 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 6.558 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.558 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.558 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.558 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.558 * [taylor]: Taking taylor expansion of x in x 6.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.558 * [taylor]: Taking taylor expansion of x in x 6.559 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.559 * [taylor]: Taking taylor expansion of y in x 6.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.559 * [taylor]: Taking taylor expansion of y in x 6.561 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.561 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.562 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.562 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.562 * [taylor]: Taking taylor expansion of x in x 6.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.562 * [taylor]: Taking taylor expansion of x in x 6.562 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.562 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.562 * [taylor]: Taking taylor expansion of y in x 6.562 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.562 * [taylor]: Taking taylor expansion of y in x 6.568 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 6.568 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.568 * [taylor]: Taking taylor expansion of z in x 6.569 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.569 * [taylor]: Taking taylor expansion of z in x 6.571 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 6.571 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.571 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 6.571 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 6.571 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.571 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.571 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.571 * [taylor]: Taking taylor expansion of x in x 6.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.571 * [taylor]: Taking taylor expansion of x in x 6.572 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.572 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.572 * [taylor]: Taking taylor expansion of y in x 6.572 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.572 * [taylor]: Taking taylor expansion of y in x 6.574 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.575 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.575 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.575 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.575 * [taylor]: Taking taylor expansion of x in x 6.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.575 * [taylor]: Taking taylor expansion of x in x 6.575 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.575 * [taylor]: Taking taylor expansion of y in x 6.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.575 * [taylor]: Taking taylor expansion of y in x 6.578 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 6.578 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.578 * [taylor]: Taking taylor expansion of z in x 6.578 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.579 * [taylor]: Taking taylor expansion of z in x 6.580 * [taylor]: Taking taylor expansion of 1 in y 6.580 * [taylor]: Taking taylor expansion of 0 in y 6.581 * [taylor]: Taking taylor expansion of 1 in z 6.588 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 6.588 * [taylor]: Taking taylor expansion of 1/2 in y 6.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 6.588 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 6.588 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.588 * [taylor]: Taking taylor expansion of z in y 6.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.588 * [taylor]: Taking taylor expansion of y in y 6.590 * [taylor]: Taking taylor expansion of 0 in z 6.590 * [taylor]: Taking taylor expansion of 0 in z 6.590 * [taylor]: Taking taylor expansion of 0 in z 6.597 * [taylor]: Taking taylor expansion of 0 in y 6.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 6.599 * [taylor]: Taking taylor expansion of 1/2 in z 6.599 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 6.599 * [taylor]: Taking taylor expansion of (pow z 2) in z 6.599 * [taylor]: Taking taylor expansion of z in z 6.601 * [taylor]: Taking taylor expansion of 0 in z 6.601 * [taylor]: Taking taylor expansion of 0 in z 6.610 * [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 6.610 * [taylor]: Taking taylor expansion of -1/2 in y 6.610 * [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 6.610 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 6.610 * [taylor]: Taking taylor expansion of 1/4 in y 6.610 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 6.610 * [taylor]: Taking taylor expansion of (pow z 4) in y 6.610 * [taylor]: Taking taylor expansion of z in y 6.611 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 6.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 6.611 * [taylor]: Taking taylor expansion of 1/2 in y 6.611 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 6.611 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 6.611 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.611 * [taylor]: Taking taylor expansion of z in y 6.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.611 * [taylor]: Taking taylor expansion of y in y 6.611 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 6.611 * [taylor]: Taking taylor expansion of 1/4 in y 6.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.611 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.611 * [taylor]: Taking taylor expansion of y in y 6.622 * [taylor]: Taking taylor expansion of 0 in z 6.622 * [taylor]: Taking taylor expansion of 0 in z 6.625 * [taylor]: Taking taylor expansion of 0 in z 6.625 * [taylor]: Taking taylor expansion of 0 in z 6.625 * [taylor]: Taking taylor expansion of 0 in z 6.627 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 6.627 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 6.627 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 6.627 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 6.627 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 6.627 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 6.627 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.627 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 6.627 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 6.627 * [taylor]: Taking taylor expansion of (/ -1 x) in z 6.627 * [taylor]: Taking taylor expansion of -1 in z 6.627 * [taylor]: Taking taylor expansion of x in z 6.627 * [taylor]: Taking taylor expansion of (/ -1 x) in z 6.628 * [taylor]: Taking taylor expansion of -1 in z 6.628 * [taylor]: Taking taylor expansion of x in z 6.628 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 6.628 * [taylor]: Taking taylor expansion of (/ -1 y) in z 6.628 * [taylor]: Taking taylor expansion of -1 in z 6.628 * [taylor]: Taking taylor expansion of y in z 6.628 * [taylor]: Taking taylor expansion of (/ -1 y) in z 6.628 * [taylor]: Taking taylor expansion of -1 in z 6.628 * [taylor]: Taking taylor expansion of y in z 6.629 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 6.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.629 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 6.629 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 6.629 * [taylor]: Taking taylor expansion of (/ -1 x) in z 6.629 * [taylor]: Taking taylor expansion of -1 in z 6.629 * [taylor]: Taking taylor expansion of x in z 6.629 * [taylor]: Taking taylor expansion of (/ -1 x) in z 6.629 * [taylor]: Taking taylor expansion of -1 in z 6.630 * [taylor]: Taking taylor expansion of x in z 6.630 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 6.630 * [taylor]: Taking taylor expansion of (/ -1 y) in z 6.630 * [taylor]: Taking taylor expansion of -1 in z 6.630 * [taylor]: Taking taylor expansion of y in z 6.630 * [taylor]: Taking taylor expansion of (/ -1 y) in z 6.630 * [taylor]: Taking taylor expansion of -1 in z 6.630 * [taylor]: Taking taylor expansion of y in z 6.631 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 6.631 * [taylor]: Taking taylor expansion of (/ -1 z) in z 6.631 * [taylor]: Taking taylor expansion of -1 in z 6.631 * [taylor]: Taking taylor expansion of z in z 6.632 * [taylor]: Taking taylor expansion of (/ -1 z) in z 6.632 * [taylor]: Taking taylor expansion of -1 in z 6.632 * [taylor]: Taking taylor expansion of z in z 6.635 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 6.635 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 6.635 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 6.635 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 6.635 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 6.635 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.635 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 6.635 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.635 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.635 * [taylor]: Taking taylor expansion of -1 in y 6.635 * [taylor]: Taking taylor expansion of x in y 6.635 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.635 * [taylor]: Taking taylor expansion of -1 in y 6.635 * [taylor]: Taking taylor expansion of x in y 6.635 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 6.635 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.635 * [taylor]: Taking taylor expansion of -1 in y 6.635 * [taylor]: Taking taylor expansion of y in y 6.636 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.636 * [taylor]: Taking taylor expansion of -1 in y 6.636 * [taylor]: Taking taylor expansion of y in y 6.639 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 6.639 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.639 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 6.639 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.639 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.639 * [taylor]: Taking taylor expansion of -1 in y 6.639 * [taylor]: Taking taylor expansion of x in y 6.639 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.639 * [taylor]: Taking taylor expansion of -1 in y 6.639 * [taylor]: Taking taylor expansion of x in y 6.639 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 6.639 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.639 * [taylor]: Taking taylor expansion of -1 in y 6.639 * [taylor]: Taking taylor expansion of y in y 6.640 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.640 * [taylor]: Taking taylor expansion of -1 in y 6.640 * [taylor]: Taking taylor expansion of y in y 6.643 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 6.643 * [taylor]: Taking taylor expansion of (/ -1 z) in y 6.643 * [taylor]: Taking taylor expansion of -1 in y 6.643 * [taylor]: Taking taylor expansion of z in y 6.643 * [taylor]: Taking taylor expansion of (/ -1 z) in y 6.643 * [taylor]: Taking taylor expansion of -1 in y 6.643 * [taylor]: Taking taylor expansion of z in y 6.645 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 6.645 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 6.645 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 6.645 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 6.645 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 6.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.645 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 6.645 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.645 * [taylor]: Taking taylor expansion of -1 in x 6.645 * [taylor]: Taking taylor expansion of x in x 6.645 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.645 * [taylor]: Taking taylor expansion of -1 in x 6.645 * [taylor]: Taking taylor expansion of x in x 6.646 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.646 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.646 * [taylor]: Taking taylor expansion of -1 in x 6.646 * [taylor]: Taking taylor expansion of y in x 6.646 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.646 * [taylor]: Taking taylor expansion of -1 in x 6.646 * [taylor]: Taking taylor expansion of y in x 6.649 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 6.649 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.649 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 6.649 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.649 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.649 * [taylor]: Taking taylor expansion of -1 in x 6.649 * [taylor]: Taking taylor expansion of x in x 6.649 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.649 * [taylor]: Taking taylor expansion of -1 in x 6.649 * [taylor]: Taking taylor expansion of x in x 6.650 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.650 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.650 * [taylor]: Taking taylor expansion of -1 in x 6.650 * [taylor]: Taking taylor expansion of y in x 6.650 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.650 * [taylor]: Taking taylor expansion of -1 in x 6.650 * [taylor]: Taking taylor expansion of y in x 6.653 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 6.653 * [taylor]: Taking taylor expansion of (/ -1 z) in x 6.653 * [taylor]: Taking taylor expansion of -1 in x 6.653 * [taylor]: Taking taylor expansion of z in x 6.653 * [taylor]: Taking taylor expansion of (/ -1 z) in x 6.653 * [taylor]: Taking taylor expansion of -1 in x 6.653 * [taylor]: Taking taylor expansion of z in x 6.655 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 6.655 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 6.655 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 6.655 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 6.655 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 6.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.655 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 6.655 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.655 * [taylor]: Taking taylor expansion of -1 in x 6.655 * [taylor]: Taking taylor expansion of x in x 6.656 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.656 * [taylor]: Taking taylor expansion of -1 in x 6.656 * [taylor]: Taking taylor expansion of x in x 6.656 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.656 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.656 * [taylor]: Taking taylor expansion of -1 in x 6.656 * [taylor]: Taking taylor expansion of y in x 6.656 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.656 * [taylor]: Taking taylor expansion of -1 in x 6.656 * [taylor]: Taking taylor expansion of y in x 6.661 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 6.662 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.662 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 6.662 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.662 * [taylor]: Taking taylor expansion of -1 in x 6.662 * [taylor]: Taking taylor expansion of x in x 6.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.662 * [taylor]: Taking taylor expansion of -1 in x 6.662 * [taylor]: Taking taylor expansion of x in x 6.663 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.663 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.663 * [taylor]: Taking taylor expansion of -1 in x 6.663 * [taylor]: Taking taylor expansion of y in x 6.663 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.663 * [taylor]: Taking taylor expansion of -1 in x 6.663 * [taylor]: Taking taylor expansion of y in x 6.666 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 6.666 * [taylor]: Taking taylor expansion of (/ -1 z) in x 6.666 * [taylor]: Taking taylor expansion of -1 in x 6.666 * [taylor]: Taking taylor expansion of z in x 6.666 * [taylor]: Taking taylor expansion of (/ -1 z) in x 6.666 * [taylor]: Taking taylor expansion of -1 in x 6.666 * [taylor]: Taking taylor expansion of z in x 6.668 * [taylor]: Taking taylor expansion of 1 in y 6.668 * [taylor]: Taking taylor expansion of 0 in y 6.668 * [taylor]: Taking taylor expansion of 1 in z 6.675 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 6.675 * [taylor]: Taking taylor expansion of 1/2 in y 6.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 6.675 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 6.675 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.675 * [taylor]: Taking taylor expansion of z in y 6.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.675 * [taylor]: Taking taylor expansion of y in y 6.678 * [taylor]: Taking taylor expansion of 0 in z 6.678 * [taylor]: Taking taylor expansion of 0 in z 6.678 * [taylor]: Taking taylor expansion of 0 in z 6.685 * [taylor]: Taking taylor expansion of 0 in y 6.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 6.687 * [taylor]: Taking taylor expansion of 1/2 in z 6.687 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 6.687 * [taylor]: Taking taylor expansion of (pow z 2) in z 6.687 * [taylor]: Taking taylor expansion of z in z 6.689 * [taylor]: Taking taylor expansion of 0 in z 6.689 * [taylor]: Taking taylor expansion of 0 in z 6.699 * [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 6.699 * [taylor]: Taking taylor expansion of -1/2 in y 6.699 * [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 6.699 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 6.699 * [taylor]: Taking taylor expansion of 1/4 in y 6.699 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 6.699 * [taylor]: Taking taylor expansion of (pow z 4) in y 6.699 * [taylor]: Taking taylor expansion of z in y 6.700 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 6.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 6.700 * [taylor]: Taking taylor expansion of 1/2 in y 6.700 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 6.700 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 6.700 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.700 * [taylor]: Taking taylor expansion of z in y 6.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.700 * [taylor]: Taking taylor expansion of y in y 6.700 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 6.701 * [taylor]: Taking taylor expansion of 1/4 in y 6.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.701 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.701 * [taylor]: Taking taylor expansion of y in y 6.712 * [taylor]: Taking taylor expansion of 0 in z 6.712 * [taylor]: Taking taylor expansion of 0 in z 6.714 * [taylor]: Taking taylor expansion of 0 in z 6.714 * [taylor]: Taking taylor expansion of 0 in z 6.714 * [taylor]: Taking taylor expansion of 0 in z 6.716 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 6.716 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 6.716 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 6.716 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.716 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 6.716 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 6.716 * [taylor]: Taking taylor expansion of (hypot x y) in z 6.716 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.717 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 6.717 * [taylor]: Taking taylor expansion of (* x x) in z 6.717 * [taylor]: Taking taylor expansion of x in z 6.717 * [taylor]: Taking taylor expansion of x in z 6.717 * [taylor]: Taking taylor expansion of (* y y) in z 6.717 * [taylor]: Taking taylor expansion of y in z 6.717 * [taylor]: Taking taylor expansion of y in z 6.718 * [taylor]: Taking taylor expansion of (hypot x y) in z 6.718 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.718 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 6.718 * [taylor]: Taking taylor expansion of (* x x) in z 6.718 * [taylor]: Taking taylor expansion of x in z 6.718 * [taylor]: Taking taylor expansion of x in z 6.718 * [taylor]: Taking taylor expansion of (* y y) in z 6.718 * [taylor]: Taking taylor expansion of y in z 6.718 * [taylor]: Taking taylor expansion of y in z 6.719 * [taylor]: Taking taylor expansion of (* z z) in z 6.719 * [taylor]: Taking taylor expansion of z in z 6.719 * [taylor]: Taking taylor expansion of z in z 6.721 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 6.721 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.721 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 6.721 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 6.721 * [taylor]: Taking taylor expansion of (hypot x y) in y 6.721 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.721 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 6.721 * [taylor]: Taking taylor expansion of (* x x) in y 6.721 * [taylor]: Taking taylor expansion of x in y 6.721 * [taylor]: Taking taylor expansion of x in y 6.721 * [taylor]: Taking taylor expansion of (* y y) in y 6.721 * [taylor]: Taking taylor expansion of y in y 6.721 * [taylor]: Taking taylor expansion of y in y 6.723 * [taylor]: Taking taylor expansion of (hypot x y) in y 6.723 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.723 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 6.723 * [taylor]: Taking taylor expansion of (* x x) in y 6.723 * [taylor]: Taking taylor expansion of x in y 6.723 * [taylor]: Taking taylor expansion of x in y 6.723 * [taylor]: Taking taylor expansion of (* y y) in y 6.723 * [taylor]: Taking taylor expansion of y in y 6.723 * [taylor]: Taking taylor expansion of y in y 6.724 * [taylor]: Taking taylor expansion of (* z z) in y 6.724 * [taylor]: Taking taylor expansion of z in y 6.724 * [taylor]: Taking taylor expansion of z in y 6.725 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 6.725 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.725 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 6.725 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 6.725 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.725 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.725 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.725 * [taylor]: Taking taylor expansion of (* x x) in x 6.725 * [taylor]: Taking taylor expansion of x in x 6.725 * [taylor]: Taking taylor expansion of x in x 6.725 * [taylor]: Taking taylor expansion of (* y y) in x 6.725 * [taylor]: Taking taylor expansion of y in x 6.725 * [taylor]: Taking taylor expansion of y in x 6.727 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.727 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.727 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.727 * [taylor]: Taking taylor expansion of (* x x) in x 6.727 * [taylor]: Taking taylor expansion of x in x 6.727 * [taylor]: Taking taylor expansion of x in x 6.727 * [taylor]: Taking taylor expansion of (* y y) in x 6.727 * [taylor]: Taking taylor expansion of y in x 6.727 * [taylor]: Taking taylor expansion of y in x 6.728 * [taylor]: Taking taylor expansion of (* z z) in x 6.728 * [taylor]: Taking taylor expansion of z in x 6.728 * [taylor]: Taking taylor expansion of z in x 6.729 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 6.729 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.729 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 6.729 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 6.729 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.729 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.729 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.729 * [taylor]: Taking taylor expansion of (* x x) in x 6.729 * [taylor]: Taking taylor expansion of x in x 6.729 * [taylor]: Taking taylor expansion of x in x 6.729 * [taylor]: Taking taylor expansion of (* y y) in x 6.729 * [taylor]: Taking taylor expansion of y in x 6.730 * [taylor]: Taking taylor expansion of y in x 6.731 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.731 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.731 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.731 * [taylor]: Taking taylor expansion of (* x x) in x 6.731 * [taylor]: Taking taylor expansion of x in x 6.731 * [taylor]: Taking taylor expansion of x in x 6.731 * [taylor]: Taking taylor expansion of (* y y) in x 6.731 * [taylor]: Taking taylor expansion of y in x 6.731 * [taylor]: Taking taylor expansion of y in x 6.732 * [taylor]: Taking taylor expansion of (* z z) in x 6.732 * [taylor]: Taking taylor expansion of z in x 6.732 * [taylor]: Taking taylor expansion of z in x 6.733 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 6.733 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 6.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.733 * [taylor]: Taking taylor expansion of y in y 6.733 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.733 * [taylor]: Taking taylor expansion of z in y 6.734 * [taylor]: Taking taylor expansion of z in z 6.734 * [taylor]: Taking taylor expansion of 0 in y 6.734 * [taylor]: Taking taylor expansion of 0 in z 6.734 * [taylor]: Taking taylor expansion of 0 in z 6.738 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 6.738 * [taylor]: Taking taylor expansion of 1/2 in y 6.738 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 6.738 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 6.738 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 6.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.738 * [taylor]: Taking taylor expansion of y in y 6.738 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.738 * [taylor]: Taking taylor expansion of z in y 6.739 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 6.739 * [taylor]: Taking taylor expansion of 1/2 in z 6.739 * [taylor]: Taking taylor expansion of z in z 6.740 * [taylor]: Taking taylor expansion of 0 in z 6.741 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 6.741 * [taylor]: Taking taylor expansion of 1/2 in z 6.741 * [taylor]: Taking taylor expansion of z in z 6.742 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 6.742 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 6.743 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.743 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 6.743 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 6.743 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 6.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.743 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 6.743 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 6.743 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.743 * [taylor]: Taking taylor expansion of x in z 6.743 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.743 * [taylor]: Taking taylor expansion of x in z 6.743 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 6.743 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.743 * [taylor]: Taking taylor expansion of y in z 6.743 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.743 * [taylor]: Taking taylor expansion of y in z 6.744 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 6.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.744 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 6.744 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 6.744 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.744 * [taylor]: Taking taylor expansion of x in z 6.744 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.744 * [taylor]: Taking taylor expansion of x in z 6.744 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 6.744 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.745 * [taylor]: Taking taylor expansion of y in z 6.745 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.745 * [taylor]: Taking taylor expansion of y in z 6.746 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 6.746 * [taylor]: Taking taylor expansion of (/ 1 z) in z 6.746 * [taylor]: Taking taylor expansion of z in z 6.746 * [taylor]: Taking taylor expansion of (/ 1 z) in z 6.746 * [taylor]: Taking taylor expansion of z in z 6.749 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 6.749 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.749 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 6.749 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 6.749 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 6.749 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.749 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 6.749 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.749 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.749 * [taylor]: Taking taylor expansion of x in y 6.749 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.749 * [taylor]: Taking taylor expansion of x in y 6.750 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.750 * [taylor]: Taking taylor expansion of y in y 6.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.750 * [taylor]: Taking taylor expansion of y in y 6.753 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 6.753 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.753 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 6.753 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.753 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.753 * [taylor]: Taking taylor expansion of x in y 6.753 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.753 * [taylor]: Taking taylor expansion of x in y 6.753 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.753 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.753 * [taylor]: Taking taylor expansion of y in y 6.753 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.753 * [taylor]: Taking taylor expansion of y in y 6.759 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 6.759 * [taylor]: Taking taylor expansion of (/ 1 z) in y 6.759 * [taylor]: Taking taylor expansion of z in y 6.759 * [taylor]: Taking taylor expansion of (/ 1 z) in y 6.759 * [taylor]: Taking taylor expansion of z in y 6.761 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 6.761 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.761 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 6.761 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 6.761 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.761 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.761 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.761 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.761 * [taylor]: Taking taylor expansion of x in x 6.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.762 * [taylor]: Taking taylor expansion of x in x 6.762 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.762 * [taylor]: Taking taylor expansion of y in x 6.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.762 * [taylor]: Taking taylor expansion of y in x 6.765 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.765 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.765 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.765 * [taylor]: Taking taylor expansion of x in x 6.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.765 * [taylor]: Taking taylor expansion of x in x 6.765 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.766 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.766 * [taylor]: Taking taylor expansion of y in x 6.766 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.766 * [taylor]: Taking taylor expansion of y in x 6.768 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 6.768 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.768 * [taylor]: Taking taylor expansion of z in x 6.768 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.768 * [taylor]: Taking taylor expansion of z in x 6.770 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 6.770 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.770 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 6.770 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 6.770 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.770 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.770 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.770 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.770 * [taylor]: Taking taylor expansion of x in x 6.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.771 * [taylor]: Taking taylor expansion of x in x 6.771 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.771 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.771 * [taylor]: Taking taylor expansion of y in x 6.771 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.771 * [taylor]: Taking taylor expansion of y in x 6.774 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.774 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.774 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.774 * [taylor]: Taking taylor expansion of x in x 6.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.774 * [taylor]: Taking taylor expansion of x in x 6.774 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.774 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.774 * [taylor]: Taking taylor expansion of y in x 6.774 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.774 * [taylor]: Taking taylor expansion of y in x 6.777 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 6.777 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.777 * [taylor]: Taking taylor expansion of z in x 6.777 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.777 * [taylor]: Taking taylor expansion of z in x 6.779 * [taylor]: Taking taylor expansion of 1 in y 6.779 * [taylor]: Taking taylor expansion of 0 in y 6.779 * [taylor]: Taking taylor expansion of 1 in z 6.786 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 6.786 * [taylor]: Taking taylor expansion of 1/2 in y 6.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 6.786 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 6.786 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.786 * [taylor]: Taking taylor expansion of z in y 6.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.786 * [taylor]: Taking taylor expansion of y in y 6.788 * [taylor]: Taking taylor expansion of 0 in z 6.788 * [taylor]: Taking taylor expansion of 0 in z 6.788 * [taylor]: Taking taylor expansion of 0 in z 6.795 * [taylor]: Taking taylor expansion of 0 in y 6.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 6.797 * [taylor]: Taking taylor expansion of 1/2 in z 6.797 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 6.797 * [taylor]: Taking taylor expansion of (pow z 2) in z 6.797 * [taylor]: Taking taylor expansion of z in z 6.798 * [taylor]: Taking taylor expansion of 0 in z 6.798 * [taylor]: Taking taylor expansion of 0 in z 6.807 * [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 6.807 * [taylor]: Taking taylor expansion of -1/2 in y 6.807 * [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 6.807 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 6.807 * [taylor]: Taking taylor expansion of 1/4 in y 6.808 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 6.808 * [taylor]: Taking taylor expansion of (pow z 4) in y 6.808 * [taylor]: Taking taylor expansion of z in y 6.808 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 6.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 6.808 * [taylor]: Taking taylor expansion of 1/2 in y 6.808 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 6.808 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 6.808 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.808 * [taylor]: Taking taylor expansion of z in y 6.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.808 * [taylor]: Taking taylor expansion of y in y 6.808 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 6.808 * [taylor]: Taking taylor expansion of 1/4 in y 6.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.808 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.808 * [taylor]: Taking taylor expansion of y in y 6.819 * [taylor]: Taking taylor expansion of 0 in z 6.819 * [taylor]: Taking taylor expansion of 0 in z 6.821 * [taylor]: Taking taylor expansion of 0 in z 6.821 * [taylor]: Taking taylor expansion of 0 in z 6.821 * [taylor]: Taking taylor expansion of 0 in z 6.823 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 6.823 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 6.823 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 6.823 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 6.823 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 6.823 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 6.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.823 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 6.823 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 6.823 * [taylor]: Taking taylor expansion of (/ -1 x) in z 6.823 * [taylor]: Taking taylor expansion of -1 in z 6.823 * [taylor]: Taking taylor expansion of x in z 6.823 * [taylor]: Taking taylor expansion of (/ -1 x) in z 6.823 * [taylor]: Taking taylor expansion of -1 in z 6.823 * [taylor]: Taking taylor expansion of x in z 6.823 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 6.824 * [taylor]: Taking taylor expansion of (/ -1 y) in z 6.824 * [taylor]: Taking taylor expansion of -1 in z 6.824 * [taylor]: Taking taylor expansion of y in z 6.824 * [taylor]: Taking taylor expansion of (/ -1 y) in z 6.824 * [taylor]: Taking taylor expansion of -1 in z 6.824 * [taylor]: Taking taylor expansion of y in z 6.825 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 6.825 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.825 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 6.825 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 6.825 * [taylor]: Taking taylor expansion of (/ -1 x) in z 6.825 * [taylor]: Taking taylor expansion of -1 in z 6.825 * [taylor]: Taking taylor expansion of x in z 6.825 * [taylor]: Taking taylor expansion of (/ -1 x) in z 6.825 * [taylor]: Taking taylor expansion of -1 in z 6.825 * [taylor]: Taking taylor expansion of x in z 6.825 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 6.825 * [taylor]: Taking taylor expansion of (/ -1 y) in z 6.825 * [taylor]: Taking taylor expansion of -1 in z 6.825 * [taylor]: Taking taylor expansion of y in z 6.825 * [taylor]: Taking taylor expansion of (/ -1 y) in z 6.825 * [taylor]: Taking taylor expansion of -1 in z 6.825 * [taylor]: Taking taylor expansion of y in z 6.827 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 6.827 * [taylor]: Taking taylor expansion of (/ -1 z) in z 6.827 * [taylor]: Taking taylor expansion of -1 in z 6.827 * [taylor]: Taking taylor expansion of z in z 6.827 * [taylor]: Taking taylor expansion of (/ -1 z) in z 6.827 * [taylor]: Taking taylor expansion of -1 in z 6.827 * [taylor]: Taking taylor expansion of z in z 6.830 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 6.831 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 6.831 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 6.831 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 6.831 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 6.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.831 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 6.831 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.831 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.831 * [taylor]: Taking taylor expansion of -1 in y 6.831 * [taylor]: Taking taylor expansion of x in y 6.831 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.831 * [taylor]: Taking taylor expansion of -1 in y 6.831 * [taylor]: Taking taylor expansion of x in y 6.831 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 6.831 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.831 * [taylor]: Taking taylor expansion of -1 in y 6.831 * [taylor]: Taking taylor expansion of y in y 6.831 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.831 * [taylor]: Taking taylor expansion of -1 in y 6.831 * [taylor]: Taking taylor expansion of y in y 6.834 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 6.834 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.834 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 6.834 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.834 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.834 * [taylor]: Taking taylor expansion of -1 in y 6.834 * [taylor]: Taking taylor expansion of x in y 6.835 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.835 * [taylor]: Taking taylor expansion of -1 in y 6.835 * [taylor]: Taking taylor expansion of x in y 6.835 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 6.835 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.835 * [taylor]: Taking taylor expansion of -1 in y 6.835 * [taylor]: Taking taylor expansion of y in y 6.835 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.835 * [taylor]: Taking taylor expansion of -1 in y 6.835 * [taylor]: Taking taylor expansion of y in y 6.838 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 6.838 * [taylor]: Taking taylor expansion of (/ -1 z) in y 6.838 * [taylor]: Taking taylor expansion of -1 in y 6.838 * [taylor]: Taking taylor expansion of z in y 6.838 * [taylor]: Taking taylor expansion of (/ -1 z) in y 6.838 * [taylor]: Taking taylor expansion of -1 in y 6.838 * [taylor]: Taking taylor expansion of z in y 6.840 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 6.840 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 6.840 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 6.840 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 6.840 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 6.840 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.840 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 6.840 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.840 * [taylor]: Taking taylor expansion of -1 in x 6.841 * [taylor]: Taking taylor expansion of x in x 6.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.841 * [taylor]: Taking taylor expansion of -1 in x 6.841 * [taylor]: Taking taylor expansion of x in x 6.841 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.841 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.841 * [taylor]: Taking taylor expansion of -1 in x 6.841 * [taylor]: Taking taylor expansion of y in x 6.841 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.841 * [taylor]: Taking taylor expansion of -1 in x 6.841 * [taylor]: Taking taylor expansion of y in x 6.847 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 6.847 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.847 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 6.847 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.847 * [taylor]: Taking taylor expansion of -1 in x 6.847 * [taylor]: Taking taylor expansion of x in x 6.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.848 * [taylor]: Taking taylor expansion of -1 in x 6.848 * [taylor]: Taking taylor expansion of x in x 6.848 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.848 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.848 * [taylor]: Taking taylor expansion of -1 in x 6.848 * [taylor]: Taking taylor expansion of y in x 6.848 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.848 * [taylor]: Taking taylor expansion of -1 in x 6.848 * [taylor]: Taking taylor expansion of y in x 6.851 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 6.851 * [taylor]: Taking taylor expansion of (/ -1 z) in x 6.851 * [taylor]: Taking taylor expansion of -1 in x 6.851 * [taylor]: Taking taylor expansion of z in x 6.851 * [taylor]: Taking taylor expansion of (/ -1 z) in x 6.851 * [taylor]: Taking taylor expansion of -1 in x 6.851 * [taylor]: Taking taylor expansion of z in x 6.853 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 6.853 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 6.853 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 6.853 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 6.853 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 6.853 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.853 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 6.853 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.853 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.853 * [taylor]: Taking taylor expansion of -1 in x 6.853 * [taylor]: Taking taylor expansion of x in x 6.853 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.854 * [taylor]: Taking taylor expansion of -1 in x 6.854 * [taylor]: Taking taylor expansion of x in x 6.854 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.854 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.854 * [taylor]: Taking taylor expansion of -1 in x 6.854 * [taylor]: Taking taylor expansion of y in x 6.854 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.854 * [taylor]: Taking taylor expansion of -1 in x 6.854 * [taylor]: Taking taylor expansion of y in x 6.857 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 6.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 6.857 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 6.857 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.857 * [taylor]: Taking taylor expansion of -1 in x 6.857 * [taylor]: Taking taylor expansion of x in x 6.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.857 * [taylor]: Taking taylor expansion of -1 in x 6.857 * [taylor]: Taking taylor expansion of x in x 6.858 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 6.858 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.858 * [taylor]: Taking taylor expansion of -1 in x 6.858 * [taylor]: Taking taylor expansion of y in x 6.858 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.858 * [taylor]: Taking taylor expansion of -1 in x 6.858 * [taylor]: Taking taylor expansion of y in x 6.860 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 6.861 * [taylor]: Taking taylor expansion of (/ -1 z) in x 6.861 * [taylor]: Taking taylor expansion of -1 in x 6.861 * [taylor]: Taking taylor expansion of z in x 6.861 * [taylor]: Taking taylor expansion of (/ -1 z) in x 6.861 * [taylor]: Taking taylor expansion of -1 in x 6.861 * [taylor]: Taking taylor expansion of z in x 6.863 * [taylor]: Taking taylor expansion of 1 in y 6.863 * [taylor]: Taking taylor expansion of 0 in y 6.863 * [taylor]: Taking taylor expansion of 1 in z 6.870 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 6.870 * [taylor]: Taking taylor expansion of 1/2 in y 6.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 6.870 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 6.870 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.870 * [taylor]: Taking taylor expansion of z in y 6.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.870 * [taylor]: Taking taylor expansion of y in y 6.873 * [taylor]: Taking taylor expansion of 0 in z 6.873 * [taylor]: Taking taylor expansion of 0 in z 6.873 * [taylor]: Taking taylor expansion of 0 in z 6.881 * [taylor]: Taking taylor expansion of 0 in y 6.883 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 6.883 * [taylor]: Taking taylor expansion of 1/2 in z 6.883 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 6.883 * [taylor]: Taking taylor expansion of (pow z 2) in z 6.883 * [taylor]: Taking taylor expansion of z in z 6.885 * [taylor]: Taking taylor expansion of 0 in z 6.885 * [taylor]: Taking taylor expansion of 0 in z 6.895 * [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 6.895 * [taylor]: Taking taylor expansion of -1/2 in y 6.895 * [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 6.895 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 6.895 * [taylor]: Taking taylor expansion of 1/4 in y 6.895 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 6.895 * [taylor]: Taking taylor expansion of (pow z 4) in y 6.895 * [taylor]: Taking taylor expansion of z in y 6.896 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 6.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 6.896 * [taylor]: Taking taylor expansion of 1/2 in y 6.896 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 6.896 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 6.896 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.896 * [taylor]: Taking taylor expansion of z in y 6.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.896 * [taylor]: Taking taylor expansion of y in y 6.896 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 6.896 * [taylor]: Taking taylor expansion of 1/4 in y 6.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.896 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.897 * [taylor]: Taking taylor expansion of y in y 6.908 * [taylor]: Taking taylor expansion of 0 in z 6.908 * [taylor]: Taking taylor expansion of 0 in z 6.910 * [taylor]: Taking taylor expansion of 0 in z 6.910 * [taylor]: Taking taylor expansion of 0 in z 6.911 * [taylor]: Taking taylor expansion of 0 in z 6.912 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 6.912 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 6.912 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 6.913 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.913 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 6.913 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 6.913 * [taylor]: Taking taylor expansion of (hypot x y) in z 6.913 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.913 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 6.913 * [taylor]: Taking taylor expansion of (* x x) in z 6.913 * [taylor]: Taking taylor expansion of x in z 6.913 * [taylor]: Taking taylor expansion of x in z 6.913 * [taylor]: Taking taylor expansion of (* y y) in z 6.913 * [taylor]: Taking taylor expansion of y in z 6.913 * [taylor]: Taking taylor expansion of y in z 6.914 * [taylor]: Taking taylor expansion of (hypot x y) in z 6.914 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.914 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 6.914 * [taylor]: Taking taylor expansion of (* x x) in z 6.914 * [taylor]: Taking taylor expansion of x in z 6.914 * [taylor]: Taking taylor expansion of x in z 6.914 * [taylor]: Taking taylor expansion of (* y y) in z 6.914 * [taylor]: Taking taylor expansion of y in z 6.914 * [taylor]: Taking taylor expansion of y in z 6.915 * [taylor]: Taking taylor expansion of (* z z) in z 6.915 * [taylor]: Taking taylor expansion of z in z 6.915 * [taylor]: Taking taylor expansion of z in z 6.917 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 6.917 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.917 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 6.917 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 6.917 * [taylor]: Taking taylor expansion of (hypot x y) in y 6.917 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.917 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 6.917 * [taylor]: Taking taylor expansion of (* x x) in y 6.917 * [taylor]: Taking taylor expansion of x in y 6.917 * [taylor]: Taking taylor expansion of x in y 6.917 * [taylor]: Taking taylor expansion of (* y y) in y 6.917 * [taylor]: Taking taylor expansion of y in y 6.917 * [taylor]: Taking taylor expansion of y in y 6.919 * [taylor]: Taking taylor expansion of (hypot x y) in y 6.919 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.919 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 6.919 * [taylor]: Taking taylor expansion of (* x x) in y 6.919 * [taylor]: Taking taylor expansion of x in y 6.919 * [taylor]: Taking taylor expansion of x in y 6.919 * [taylor]: Taking taylor expansion of (* y y) in y 6.919 * [taylor]: Taking taylor expansion of y in y 6.919 * [taylor]: Taking taylor expansion of y in y 6.920 * [taylor]: Taking taylor expansion of (* z z) in y 6.920 * [taylor]: Taking taylor expansion of z in y 6.920 * [taylor]: Taking taylor expansion of z in y 6.921 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 6.921 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.921 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 6.921 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 6.921 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.921 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.921 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.921 * [taylor]: Taking taylor expansion of (* x x) in x 6.921 * [taylor]: Taking taylor expansion of x in x 6.921 * [taylor]: Taking taylor expansion of x in x 6.921 * [taylor]: Taking taylor expansion of (* y y) in x 6.921 * [taylor]: Taking taylor expansion of y in x 6.921 * [taylor]: Taking taylor expansion of y in x 6.923 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.923 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.923 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.923 * [taylor]: Taking taylor expansion of (* x x) in x 6.923 * [taylor]: Taking taylor expansion of x in x 6.923 * [taylor]: Taking taylor expansion of x in x 6.923 * [taylor]: Taking taylor expansion of (* y y) in x 6.923 * [taylor]: Taking taylor expansion of y in x 6.923 * [taylor]: Taking taylor expansion of y in x 6.924 * [taylor]: Taking taylor expansion of (* z z) in x 6.924 * [taylor]: Taking taylor expansion of z in x 6.924 * [taylor]: Taking taylor expansion of z in x 6.925 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 6.925 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 6.925 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 6.925 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 6.925 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.925 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.925 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.925 * [taylor]: Taking taylor expansion of (* x x) in x 6.925 * [taylor]: Taking taylor expansion of x in x 6.925 * [taylor]: Taking taylor expansion of x in x 6.925 * [taylor]: Taking taylor expansion of (* y y) in x 6.925 * [taylor]: Taking taylor expansion of y in x 6.925 * [taylor]: Taking taylor expansion of y in x 6.926 * [taylor]: Taking taylor expansion of (hypot x y) in x 6.926 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 6.926 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 6.926 * [taylor]: Taking taylor expansion of (* x x) in x 6.926 * [taylor]: Taking taylor expansion of x in x 6.927 * [taylor]: Taking taylor expansion of x in x 6.927 * [taylor]: Taking taylor expansion of (* y y) in x 6.927 * [taylor]: Taking taylor expansion of y in x 6.927 * [taylor]: Taking taylor expansion of y in x 6.928 * [taylor]: Taking taylor expansion of (* z z) in x 6.928 * [taylor]: Taking taylor expansion of z in x 6.928 * [taylor]: Taking taylor expansion of z in x 6.929 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 6.929 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 6.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.929 * [taylor]: Taking taylor expansion of y in y 6.929 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.929 * [taylor]: Taking taylor expansion of z in y 6.930 * [taylor]: Taking taylor expansion of z in z 6.930 * [taylor]: Taking taylor expansion of 0 in y 6.930 * [taylor]: Taking taylor expansion of 0 in z 6.930 * [taylor]: Taking taylor expansion of 0 in z 6.934 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 6.934 * [taylor]: Taking taylor expansion of 1/2 in y 6.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 6.934 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 6.934 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 6.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.934 * [taylor]: Taking taylor expansion of y in y 6.935 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.935 * [taylor]: Taking taylor expansion of z in y 6.936 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 6.936 * [taylor]: Taking taylor expansion of 1/2 in z 6.936 * [taylor]: Taking taylor expansion of z in z 6.937 * [taylor]: Taking taylor expansion of 0 in z 6.938 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 6.938 * [taylor]: Taking taylor expansion of 1/2 in z 6.938 * [taylor]: Taking taylor expansion of z in z 6.939 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 6.939 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 6.939 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.939 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 6.939 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 6.940 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 6.940 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.940 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 6.940 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 6.940 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.940 * [taylor]: Taking taylor expansion of x in z 6.940 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.940 * [taylor]: Taking taylor expansion of x in z 6.940 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 6.940 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.940 * [taylor]: Taking taylor expansion of y in z 6.940 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.940 * [taylor]: Taking taylor expansion of y in z 6.941 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 6.941 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.941 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 6.941 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 6.941 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.941 * [taylor]: Taking taylor expansion of x in z 6.942 * [taylor]: Taking taylor expansion of (/ 1 x) in z 6.942 * [taylor]: Taking taylor expansion of x in z 6.942 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 6.942 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.942 * [taylor]: Taking taylor expansion of y in z 6.942 * [taylor]: Taking taylor expansion of (/ 1 y) in z 6.942 * [taylor]: Taking taylor expansion of y in z 6.947 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 6.947 * [taylor]: Taking taylor expansion of (/ 1 z) in z 6.947 * [taylor]: Taking taylor expansion of z in z 6.947 * [taylor]: Taking taylor expansion of (/ 1 z) in z 6.947 * [taylor]: Taking taylor expansion of z in z 6.950 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 6.950 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.950 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 6.950 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 6.950 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 6.950 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.950 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 6.950 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.951 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.951 * [taylor]: Taking taylor expansion of x in y 6.951 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.951 * [taylor]: Taking taylor expansion of x in y 6.951 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.951 * [taylor]: Taking taylor expansion of y in y 6.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.951 * [taylor]: Taking taylor expansion of y in y 6.954 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 6.954 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.954 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 6.954 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.954 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.954 * [taylor]: Taking taylor expansion of x in y 6.954 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.954 * [taylor]: Taking taylor expansion of x in y 6.954 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 6.954 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.954 * [taylor]: Taking taylor expansion of y in y 6.955 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.955 * [taylor]: Taking taylor expansion of y in y 6.958 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 6.958 * [taylor]: Taking taylor expansion of (/ 1 z) in y 6.958 * [taylor]: Taking taylor expansion of z in y 6.958 * [taylor]: Taking taylor expansion of (/ 1 z) in y 6.958 * [taylor]: Taking taylor expansion of z in y 6.960 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 6.960 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.960 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 6.960 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 6.960 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.960 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.960 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.960 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.960 * [taylor]: Taking taylor expansion of x in x 6.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.961 * [taylor]: Taking taylor expansion of x in x 6.961 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.961 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.961 * [taylor]: Taking taylor expansion of y in x 6.961 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.961 * [taylor]: Taking taylor expansion of y in x 6.964 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.964 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.964 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.964 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.964 * [taylor]: Taking taylor expansion of x in x 6.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.964 * [taylor]: Taking taylor expansion of x in x 6.964 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.965 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.965 * [taylor]: Taking taylor expansion of y in x 6.965 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.965 * [taylor]: Taking taylor expansion of y in x 6.967 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 6.967 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.967 * [taylor]: Taking taylor expansion of z in x 6.967 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.967 * [taylor]: Taking taylor expansion of z in x 6.969 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 6.970 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 6.970 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 6.970 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 6.970 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.970 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.970 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.970 * [taylor]: Taking taylor expansion of x in x 6.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.970 * [taylor]: Taking taylor expansion of x in x 6.970 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.970 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.970 * [taylor]: Taking taylor expansion of y in x 6.970 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.970 * [taylor]: Taking taylor expansion of y in x 6.973 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 6.973 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 6.973 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 6.973 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.973 * [taylor]: Taking taylor expansion of x in x 6.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.974 * [taylor]: Taking taylor expansion of x in x 6.974 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 6.974 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.974 * [taylor]: Taking taylor expansion of y in x 6.974 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.974 * [taylor]: Taking taylor expansion of y in x 6.977 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 6.977 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.977 * [taylor]: Taking taylor expansion of z in x 6.977 * [taylor]: Taking taylor expansion of (/ 1 z) in x 6.977 * [taylor]: Taking taylor expansion of z in x 6.979 * [taylor]: Taking taylor expansion of 1 in y 6.979 * [taylor]: Taking taylor expansion of 0 in y 6.979 * [taylor]: Taking taylor expansion of 1 in z 6.986 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 6.986 * [taylor]: Taking taylor expansion of 1/2 in y 6.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 6.986 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 6.986 * [taylor]: Taking taylor expansion of (pow z 2) in y 6.986 * [taylor]: Taking taylor expansion of z in y 6.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.987 * [taylor]: Taking taylor expansion of y in y 6.989 * [taylor]: Taking taylor expansion of 0 in z 6.989 * [taylor]: Taking taylor expansion of 0 in z 6.989 * [taylor]: Taking taylor expansion of 0 in z 6.996 * [taylor]: Taking taylor expansion of 0 in y 6.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 6.998 * [taylor]: Taking taylor expansion of 1/2 in z 6.998 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 6.998 * [taylor]: Taking taylor expansion of (pow z 2) in z 6.998 * [taylor]: Taking taylor expansion of z in z 7.000 * [taylor]: Taking taylor expansion of 0 in z 7.000 * [taylor]: Taking taylor expansion of 0 in z 7.010 * [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 7.010 * [taylor]: Taking taylor expansion of -1/2 in y 7.010 * [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 7.010 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 7.010 * [taylor]: Taking taylor expansion of 1/4 in y 7.010 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 7.010 * [taylor]: Taking taylor expansion of (pow z 4) in y 7.010 * [taylor]: Taking taylor expansion of z in y 7.010 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 7.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 7.010 * [taylor]: Taking taylor expansion of 1/2 in y 7.010 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 7.010 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 7.010 * [taylor]: Taking taylor expansion of (pow z 2) in y 7.010 * [taylor]: Taking taylor expansion of z in y 7.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.010 * [taylor]: Taking taylor expansion of y in y 7.011 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 7.011 * [taylor]: Taking taylor expansion of 1/4 in y 7.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.011 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.011 * [taylor]: Taking taylor expansion of y in y 7.022 * [taylor]: Taking taylor expansion of 0 in z 7.022 * [taylor]: Taking taylor expansion of 0 in z 7.024 * [taylor]: Taking taylor expansion of 0 in z 7.024 * [taylor]: Taking taylor expansion of 0 in z 7.024 * [taylor]: Taking taylor expansion of 0 in z 7.026 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 7.026 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 7.026 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 7.027 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 7.027 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 7.027 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 7.027 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.027 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 7.027 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 7.027 * [taylor]: Taking taylor expansion of (/ -1 x) in z 7.027 * [taylor]: Taking taylor expansion of -1 in z 7.027 * [taylor]: Taking taylor expansion of x in z 7.027 * [taylor]: Taking taylor expansion of (/ -1 x) in z 7.027 * [taylor]: Taking taylor expansion of -1 in z 7.027 * [taylor]: Taking taylor expansion of x in z 7.027 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 7.027 * [taylor]: Taking taylor expansion of (/ -1 y) in z 7.027 * [taylor]: Taking taylor expansion of -1 in z 7.027 * [taylor]: Taking taylor expansion of y in z 7.027 * [taylor]: Taking taylor expansion of (/ -1 y) in z 7.027 * [taylor]: Taking taylor expansion of -1 in z 7.027 * [taylor]: Taking taylor expansion of y in z 7.028 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 7.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.029 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 7.029 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 7.029 * [taylor]: Taking taylor expansion of (/ -1 x) in z 7.029 * [taylor]: Taking taylor expansion of -1 in z 7.029 * [taylor]: Taking taylor expansion of x in z 7.029 * [taylor]: Taking taylor expansion of (/ -1 x) in z 7.029 * [taylor]: Taking taylor expansion of -1 in z 7.029 * [taylor]: Taking taylor expansion of x in z 7.029 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 7.029 * [taylor]: Taking taylor expansion of (/ -1 y) in z 7.029 * [taylor]: Taking taylor expansion of -1 in z 7.029 * [taylor]: Taking taylor expansion of y in z 7.029 * [taylor]: Taking taylor expansion of (/ -1 y) in z 7.029 * [taylor]: Taking taylor expansion of -1 in z 7.029 * [taylor]: Taking taylor expansion of y in z 7.031 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 7.031 * [taylor]: Taking taylor expansion of (/ -1 z) in z 7.031 * [taylor]: Taking taylor expansion of -1 in z 7.031 * [taylor]: Taking taylor expansion of z in z 7.031 * [taylor]: Taking taylor expansion of (/ -1 z) in z 7.031 * [taylor]: Taking taylor expansion of -1 in z 7.031 * [taylor]: Taking taylor expansion of z in z 7.034 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 7.034 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 7.034 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 7.034 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 7.034 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 7.034 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.035 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 7.035 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 7.035 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.035 * [taylor]: Taking taylor expansion of -1 in y 7.035 * [taylor]: Taking taylor expansion of x in y 7.035 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.035 * [taylor]: Taking taylor expansion of -1 in y 7.035 * [taylor]: Taking taylor expansion of x in y 7.035 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 7.035 * [taylor]: Taking taylor expansion of (/ -1 y) in y 7.035 * [taylor]: Taking taylor expansion of -1 in y 7.035 * [taylor]: Taking taylor expansion of y in y 7.035 * [taylor]: Taking taylor expansion of (/ -1 y) in y 7.035 * [taylor]: Taking taylor expansion of -1 in y 7.035 * [taylor]: Taking taylor expansion of y in y 7.041 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 7.041 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.041 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 7.041 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 7.041 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.041 * [taylor]: Taking taylor expansion of -1 in y 7.041 * [taylor]: Taking taylor expansion of x in y 7.042 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.042 * [taylor]: Taking taylor expansion of -1 in y 7.042 * [taylor]: Taking taylor expansion of x in y 7.042 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 7.042 * [taylor]: Taking taylor expansion of (/ -1 y) in y 7.042 * [taylor]: Taking taylor expansion of -1 in y 7.042 * [taylor]: Taking taylor expansion of y in y 7.042 * [taylor]: Taking taylor expansion of (/ -1 y) in y 7.042 * [taylor]: Taking taylor expansion of -1 in y 7.042 * [taylor]: Taking taylor expansion of y in y 7.045 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 7.045 * [taylor]: Taking taylor expansion of (/ -1 z) in y 7.045 * [taylor]: Taking taylor expansion of -1 in y 7.045 * [taylor]: Taking taylor expansion of z in y 7.045 * [taylor]: Taking taylor expansion of (/ -1 z) in y 7.045 * [taylor]: Taking taylor expansion of -1 in y 7.045 * [taylor]: Taking taylor expansion of z in y 7.047 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 7.047 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 7.047 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 7.047 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 7.047 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 7.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.047 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 7.048 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.048 * [taylor]: Taking taylor expansion of -1 in x 7.048 * [taylor]: Taking taylor expansion of x in x 7.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.048 * [taylor]: Taking taylor expansion of -1 in x 7.048 * [taylor]: Taking taylor expansion of x in x 7.048 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 7.048 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.048 * [taylor]: Taking taylor expansion of -1 in x 7.048 * [taylor]: Taking taylor expansion of y in x 7.048 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.048 * [taylor]: Taking taylor expansion of -1 in x 7.048 * [taylor]: Taking taylor expansion of y in x 7.051 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 7.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.051 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 7.051 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.051 * [taylor]: Taking taylor expansion of -1 in x 7.051 * [taylor]: Taking taylor expansion of x in x 7.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.052 * [taylor]: Taking taylor expansion of -1 in x 7.052 * [taylor]: Taking taylor expansion of x in x 7.052 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 7.052 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.052 * [taylor]: Taking taylor expansion of -1 in x 7.052 * [taylor]: Taking taylor expansion of y in x 7.052 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.052 * [taylor]: Taking taylor expansion of -1 in x 7.052 * [taylor]: Taking taylor expansion of y in x 7.055 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 7.055 * [taylor]: Taking taylor expansion of (/ -1 z) in x 7.055 * [taylor]: Taking taylor expansion of -1 in x 7.055 * [taylor]: Taking taylor expansion of z in x 7.055 * [taylor]: Taking taylor expansion of (/ -1 z) in x 7.055 * [taylor]: Taking taylor expansion of -1 in x 7.055 * [taylor]: Taking taylor expansion of z in x 7.057 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 7.057 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 7.057 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 7.057 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 7.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 7.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 7.057 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.057 * [taylor]: Taking taylor expansion of -1 in x 7.057 * [taylor]: Taking taylor expansion of x in x 7.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.058 * [taylor]: Taking taylor expansion of -1 in x 7.058 * [taylor]: Taking taylor expansion of x in x 7.058 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 7.058 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.058 * [taylor]: Taking taylor expansion of -1 in x 7.058 * [taylor]: Taking taylor expansion of y in x 7.058 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.058 * [taylor]: Taking taylor expansion of -1 in x 7.058 * [taylor]: Taking taylor expansion of y in x 7.061 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 7.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 7.061 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.061 * [taylor]: Taking taylor expansion of -1 in x 7.061 * [taylor]: Taking taylor expansion of x in x 7.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.062 * [taylor]: Taking taylor expansion of -1 in x 7.062 * [taylor]: Taking taylor expansion of x in x 7.062 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 7.062 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.062 * [taylor]: Taking taylor expansion of -1 in x 7.062 * [taylor]: Taking taylor expansion of y in x 7.062 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.062 * [taylor]: Taking taylor expansion of -1 in x 7.062 * [taylor]: Taking taylor expansion of y in x 7.065 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 7.065 * [taylor]: Taking taylor expansion of (/ -1 z) in x 7.065 * [taylor]: Taking taylor expansion of -1 in x 7.065 * [taylor]: Taking taylor expansion of z in x 7.065 * [taylor]: Taking taylor expansion of (/ -1 z) in x 7.065 * [taylor]: Taking taylor expansion of -1 in x 7.065 * [taylor]: Taking taylor expansion of z in x 7.067 * [taylor]: Taking taylor expansion of 1 in y 7.067 * [taylor]: Taking taylor expansion of 0 in y 7.067 * [taylor]: Taking taylor expansion of 1 in z 7.075 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 7.075 * [taylor]: Taking taylor expansion of 1/2 in y 7.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 7.075 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 7.075 * [taylor]: Taking taylor expansion of (pow z 2) in y 7.075 * [taylor]: Taking taylor expansion of z in y 7.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.075 * [taylor]: Taking taylor expansion of y in y 7.077 * [taylor]: Taking taylor expansion of 0 in z 7.077 * [taylor]: Taking taylor expansion of 0 in z 7.077 * [taylor]: Taking taylor expansion of 0 in z 7.085 * [taylor]: Taking taylor expansion of 0 in y 7.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 7.087 * [taylor]: Taking taylor expansion of 1/2 in z 7.087 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 7.087 * [taylor]: Taking taylor expansion of (pow z 2) in z 7.087 * [taylor]: Taking taylor expansion of z in z 7.089 * [taylor]: Taking taylor expansion of 0 in z 7.089 * [taylor]: Taking taylor expansion of 0 in z 7.099 * [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 7.099 * [taylor]: Taking taylor expansion of -1/2 in y 7.099 * [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 7.099 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 7.099 * [taylor]: Taking taylor expansion of 1/4 in y 7.100 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 7.100 * [taylor]: Taking taylor expansion of (pow z 4) in y 7.100 * [taylor]: Taking taylor expansion of z in y 7.100 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 7.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 7.100 * [taylor]: Taking taylor expansion of 1/2 in y 7.100 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 7.100 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 7.100 * [taylor]: Taking taylor expansion of (pow z 2) in y 7.100 * [taylor]: Taking taylor expansion of z in y 7.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.100 * [taylor]: Taking taylor expansion of y in y 7.101 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 7.101 * [taylor]: Taking taylor expansion of 1/4 in y 7.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.101 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.101 * [taylor]: Taking taylor expansion of y in y 7.112 * [taylor]: Taking taylor expansion of 0 in z 7.112 * [taylor]: Taking taylor expansion of 0 in z 7.115 * [taylor]: Taking taylor expansion of 0 in z 7.115 * [taylor]: Taking taylor expansion of 0 in z 7.115 * [taylor]: Taking taylor expansion of 0 in z 7.117 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 7.117 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 7.117 * [taylor]: Taking taylor expansion of (hypot x y) in y 7.117 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 7.117 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 7.117 * [taylor]: Taking taylor expansion of (* x x) in y 7.117 * [taylor]: Taking taylor expansion of x in y 7.117 * [taylor]: Taking taylor expansion of x in y 7.117 * [taylor]: Taking taylor expansion of (* y y) in y 7.117 * [taylor]: Taking taylor expansion of y in y 7.117 * [taylor]: Taking taylor expansion of y in y 7.118 * [taylor]: Taking taylor expansion of (hypot x y) in x 7.119 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 7.119 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 7.119 * [taylor]: Taking taylor expansion of (* x x) in x 7.119 * [taylor]: Taking taylor expansion of x in x 7.119 * [taylor]: Taking taylor expansion of x in x 7.119 * [taylor]: Taking taylor expansion of (* y y) in x 7.119 * [taylor]: Taking taylor expansion of y in x 7.119 * [taylor]: Taking taylor expansion of y in x 7.120 * [taylor]: Taking taylor expansion of (hypot x y) in x 7.120 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 7.120 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 7.120 * [taylor]: Taking taylor expansion of (* x x) in x 7.120 * [taylor]: Taking taylor expansion of x in x 7.120 * [taylor]: Taking taylor expansion of x in x 7.120 * [taylor]: Taking taylor expansion of (* y y) in x 7.120 * [taylor]: Taking taylor expansion of y in x 7.120 * [taylor]: Taking taylor expansion of y in x 7.122 * [taylor]: Taking taylor expansion of y in y 7.122 * [taylor]: Taking taylor expansion of 0 in y 7.123 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 7.123 * [taylor]: Taking taylor expansion of 1/2 in y 7.123 * [taylor]: Taking taylor expansion of y in y 7.126 * [taylor]: Taking taylor expansion of 0 in y 7.127 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 7.127 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 7.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 7.127 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 7.127 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 7.127 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.127 * [taylor]: Taking taylor expansion of x in y 7.127 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.127 * [taylor]: Taking taylor expansion of x in y 7.127 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 7.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.127 * [taylor]: Taking taylor expansion of y in y 7.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.127 * [taylor]: Taking taylor expansion of y in y 7.131 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 7.131 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 7.131 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 7.131 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.131 * [taylor]: Taking taylor expansion of x in x 7.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.131 * [taylor]: Taking taylor expansion of x in x 7.131 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 7.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.132 * [taylor]: Taking taylor expansion of y in x 7.132 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.132 * [taylor]: Taking taylor expansion of y in x 7.137 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 7.137 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 7.137 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 7.137 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.138 * [taylor]: Taking taylor expansion of x in x 7.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.138 * [taylor]: Taking taylor expansion of x in x 7.138 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 7.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.138 * [taylor]: Taking taylor expansion of y in x 7.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.138 * [taylor]: Taking taylor expansion of y in x 7.141 * [taylor]: Taking taylor expansion of 1 in y 7.141 * [taylor]: Taking taylor expansion of 0 in y 7.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.144 * [taylor]: Taking taylor expansion of 1/2 in y 7.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.144 * [taylor]: Taking taylor expansion of y in y 7.148 * [taylor]: Taking taylor expansion of 0 in y 7.149 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 7.149 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 7.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.150 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 7.150 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 7.150 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.150 * [taylor]: Taking taylor expansion of -1 in y 7.150 * [taylor]: Taking taylor expansion of x in y 7.150 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.150 * [taylor]: Taking taylor expansion of -1 in y 7.150 * [taylor]: Taking taylor expansion of x in y 7.150 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 7.150 * [taylor]: Taking taylor expansion of (/ -1 y) in y 7.150 * [taylor]: Taking taylor expansion of -1 in y 7.150 * [taylor]: Taking taylor expansion of y in y 7.150 * [taylor]: Taking taylor expansion of (/ -1 y) in y 7.150 * [taylor]: Taking taylor expansion of -1 in y 7.150 * [taylor]: Taking taylor expansion of y in y 7.153 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 7.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.154 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 7.154 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.154 * [taylor]: Taking taylor expansion of -1 in x 7.154 * [taylor]: Taking taylor expansion of x in x 7.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.154 * [taylor]: Taking taylor expansion of -1 in x 7.154 * [taylor]: Taking taylor expansion of x in x 7.154 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 7.154 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.154 * [taylor]: Taking taylor expansion of -1 in x 7.154 * [taylor]: Taking taylor expansion of y in x 7.154 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.154 * [taylor]: Taking taylor expansion of -1 in x 7.155 * [taylor]: Taking taylor expansion of y in x 7.157 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 7.158 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 7.158 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 7.158 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.158 * [taylor]: Taking taylor expansion of -1 in x 7.158 * [taylor]: Taking taylor expansion of x in x 7.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.158 * [taylor]: Taking taylor expansion of -1 in x 7.158 * [taylor]: Taking taylor expansion of x in x 7.158 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 7.158 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.158 * [taylor]: Taking taylor expansion of -1 in x 7.158 * [taylor]: Taking taylor expansion of y in x 7.158 * [taylor]: Taking taylor expansion of (/ -1 y) in x 7.158 * [taylor]: Taking taylor expansion of -1 in x 7.158 * [taylor]: Taking taylor expansion of y in x 7.161 * [taylor]: Taking taylor expansion of 1 in y 7.161 * [taylor]: Taking taylor expansion of 0 in y 7.164 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.164 * [taylor]: Taking taylor expansion of 1/2 in y 7.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.164 * [taylor]: Taking taylor expansion of y in y 7.168 * [taylor]: Taking taylor expansion of 0 in y 7.170 * * * [progress]: simplifying candidates 7.171 * [simplify]: Simplifying using # : (expm1 (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (log1p (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (+ 1 1) (+ (log (sqrt (hypot (hypot x y) z))) (log (sqrt (hypot (hypot x y) z)))) (log (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (exp (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (* (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z)))) (* (cbrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (cbrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))) (cbrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (* (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (sqrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (sqrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z)))) (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z))))) (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))) (sqrt (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))))) (* (sqrt (cbrt (hypot (hypot x y) z))) (sqrt (cbrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* 1 1) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot (hypot x y) z)) (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z))))) (* (sqrt (hypot (hypot x y) z)) (sqrt (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (hypot (hypot x y) z)) (sqrt 1)) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (hypot (hypot x y) z)) 1) (* (cbrt (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (sqrt (cbrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (+ (* (hypot x y) (hypot x y)) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (+ (* (hypot x y) (hypot x y)) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) z x (* -1 x) z x (* -1 x) z x (* -1 x) y x (* -1 x) 7.174 * * [simplify]: iteration 0 : 76 enodes (cost 1082 ) 7.189 * * [simplify]: iteration 1 : 117 enodes (cost 693 ) 7.227 * * [simplify]: iteration 2 : 337 enodes (cost 611 ) 7.496 * * [simplify]: iteration 3 : 1642 enodes (cost 584 ) 8.939 * * [simplify]: iteration done : 5000 enodes (cost 584 ) 8.939 * [simplify]: Simplified to: (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) 1 1 2 1 1 (pow (sqrt (hypot (hypot x y) z)) 4) (hypot (hypot x y) z) (pow (sqrt (hypot (hypot x y) z)) 4) 2 (log (hypot (hypot x y) z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (pow (sqrt (hypot (hypot x y) z)) 4) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (pow (cbrt (sqrt (hypot (hypot x y) z))) 4) (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z)))) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) 1 (hypot (hypot x y) z) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) 1 (hypot (hypot x y) z) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) 1 2 1 (* (cbrt (sqrt (hypot (hypot x y) z))) (pow (cbrt (sqrt (hypot (hypot x y) z))) 4)) (* (fabs (cbrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (pow (sqrt (sqrt (hypot (hypot x y) z))) 3) (sqrt (hypot (hypot x y) z)) (pow (sqrt (sqrt (hypot (hypot x y) z))) 3) (sqrt (hypot (hypot x y) z)) (pow (cbrt (sqrt (hypot (hypot x y) z))) 4) (* (sqrt (cbrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (pow (sqrt (sqrt (hypot (hypot x y) z))) 3) (hypot (hypot x y) z) (pow (sqrt (sqrt (hypot (hypot x y) z))) 3) (hypot (hypot x y) z) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma (hypot x y) (hypot x y) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma (hypot x y) (hypot x y) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) z x (- x) z x (- x) z x (- x) y x (- x) 8.940 * * * [progress]: adding candidates to table 9.161 * [progress]: [Phase 3 of 3] Extracting. 9.161 * * [regime]: Finding splitpoints for: (# #) 9.162 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 9.162 * * * * [regimes]: Trying to branch on z from (# #) 9.178 * * * * [regimes]: Trying to branch on y from (# #) 9.191 * * * * [regimes]: Trying to branch on x from (# #) 9.205 * * * [regime]: Found split indices: #