17.841 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.020 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.022 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.023 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.025 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.026 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.026 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.043 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.049 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.054 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.054 * [taylor]: Taking taylor expansion of x in z 0.054 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.054 * [taylor]: Taking taylor expansion of y in z 0.054 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.054 * [taylor]: Taking taylor expansion of z in z 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.056 * [taylor]: Taking taylor expansion of z in y 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.057 * [taylor]: Taking taylor expansion of z in x 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.059 * [taylor]: Taking taylor expansion of z in x 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.060 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.060 * [taylor]: Taking taylor expansion of z in y 0.060 * [taylor]: Taking taylor expansion of z in z 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in z 0.061 * [taylor]: Taking taylor expansion of 0 in z 0.063 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.063 * [taylor]: Taking taylor expansion of 1/2 in y 0.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.063 * [taylor]: Taking taylor expansion of z in y 0.064 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.064 * [taylor]: Taking taylor expansion of 1/2 in z 0.064 * [taylor]: Taking taylor expansion of z in z 0.064 * [taylor]: Taking taylor expansion of 0 in z 0.066 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.066 * [taylor]: Taking taylor expansion of 1/2 in z 0.066 * [taylor]: Taking taylor expansion of z in z 0.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.067 * [taylor]: Taking taylor expansion of x in z 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.067 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.067 * [taylor]: Taking taylor expansion of z in z 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.068 * [taylor]: Taking taylor expansion of y in z 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.071 * [taylor]: Taking taylor expansion of z in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.075 * [taylor]: Taking taylor expansion of z in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.082 * [taylor]: Taking taylor expansion of z in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.085 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 1 in z 0.087 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.087 * [taylor]: Taking taylor expansion of 1/2 in y 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.087 * [taylor]: Taking taylor expansion of z in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of 0 in z 0.090 * [taylor]: Taking taylor expansion of 0 in z 0.090 * [taylor]: Taking taylor expansion of 0 in z 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.094 * [taylor]: Taking taylor expansion of 1/2 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 0.096 * [taylor]: Taking taylor expansion of 0 in z 0.096 * [taylor]: Taking taylor expansion of 0 in z 0.100 * [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 0.100 * [taylor]: Taking taylor expansion of -1/2 in y 0.100 * [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 0.100 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.100 * [taylor]: Taking taylor expansion of 1/4 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.100 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.100 * [taylor]: Taking taylor expansion of z in y 0.100 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.100 * [taylor]: Taking taylor expansion of 1/2 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.100 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.100 * [taylor]: Taking taylor expansion of z in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.101 * [taylor]: Taking taylor expansion of 1/4 in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.101 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of 0 in z 0.111 * [taylor]: Taking taylor expansion of 0 in z 0.114 * [taylor]: Taking taylor expansion of 0 in z 0.114 * [taylor]: Taking taylor expansion of 0 in z 0.114 * [taylor]: Taking taylor expansion of 0 in z 0.116 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.116 * [taylor]: Taking taylor expansion of x in z 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.116 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.116 * [taylor]: Taking taylor expansion of z in z 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.117 * [taylor]: Taking taylor expansion of y in z 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.120 * [taylor]: Taking taylor expansion of z in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.123 * [taylor]: Taking taylor expansion of z in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.126 * [taylor]: Taking taylor expansion of z in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of 1 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of 1 in z 0.131 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.131 * [taylor]: Taking taylor expansion of 1/2 in y 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.131 * [taylor]: Taking taylor expansion of z in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of 0 in z 0.133 * [taylor]: Taking taylor expansion of 0 in z 0.133 * [taylor]: Taking taylor expansion of 0 in z 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.138 * [taylor]: Taking taylor expansion of 1/2 in z 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.138 * [taylor]: Taking taylor expansion of z in z 0.139 * [taylor]: Taking taylor expansion of 0 in z 0.139 * [taylor]: Taking taylor expansion of 0 in z 0.143 * [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 0.143 * [taylor]: Taking taylor expansion of -1/2 in y 0.143 * [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 0.143 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.143 * [taylor]: Taking taylor expansion of 1/4 in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.144 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.144 * [taylor]: Taking taylor expansion of z in y 0.144 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.144 * [taylor]: Taking taylor expansion of 1/2 in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.144 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 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 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.144 * [taylor]: Taking taylor expansion of 1/4 in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.157 * [taylor]: Taking taylor expansion of 0 in z 0.157 * [taylor]: Taking taylor expansion of 0 in z 0.157 * [taylor]: Taking taylor expansion of 0 in z 0.159 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.159 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.159 * [taylor]: Taking taylor expansion of x in z 0.159 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.159 * [taylor]: Taking taylor expansion of y in z 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.159 * [taylor]: Taking taylor expansion of z in z 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.159 * [taylor]: Taking taylor expansion of z in y 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.159 * [taylor]: Taking taylor expansion of z in x 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.160 * [taylor]: Taking taylor expansion of z in x 0.160 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.160 * [taylor]: Taking taylor expansion of z in y 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.160 * [taylor]: Taking taylor expansion of z in z 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [taylor]: Taking taylor expansion of 1 in z 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [taylor]: Taking taylor expansion of 1 in z 0.165 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.165 * [taylor]: Taking taylor expansion of x in z 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.165 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.165 * [taylor]: Taking taylor expansion of z in z 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.166 * [taylor]: Taking taylor expansion of y in z 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.166 * [taylor]: Taking taylor expansion of z in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.167 * [taylor]: Taking taylor expansion of z in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.168 * [taylor]: Taking taylor expansion of z in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of 1 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.177 * [taylor]: Taking taylor expansion of z in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of 1 in z 0.178 * [taylor]: Taking taylor expansion of 1 in z 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.185 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.185 * [taylor]: Taking taylor expansion of z in z 0.185 * [taylor]: Taking taylor expansion of 0 in z 0.185 * [taylor]: Taking taylor expansion of 0 in z 0.186 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.186 * [taylor]: Taking taylor expansion of x in z 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.187 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.187 * [taylor]: Taking taylor expansion of z in z 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.187 * [taylor]: Taking taylor expansion of y in z 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.187 * [taylor]: Taking taylor expansion of z in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.189 * [taylor]: Taking taylor expansion of z in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.190 * [taylor]: Taking taylor expansion of z in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) 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 (/ 1 (pow y 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 0.194 * [taylor]: Taking taylor expansion of 1 in z 0.194 * [taylor]: Taking taylor expansion of 1 in z 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in z 0.197 * [taylor]: Taking taylor expansion of 0 in z 0.197 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.201 * [taylor]: Taking taylor expansion of z in z 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.203 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.203 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 1 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of 1 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of 1 in y 0.223 * [taylor]: Taking taylor expansion of 0 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 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.231 * * * [progress]: simplifying candidates 0.231 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.236 * * [simplify]: iteration 0 : 225 enodes (cost 355 ) 0.242 * * [simplify]: iteration 1 : 1043 enodes (cost 323 ) 0.259 * * [simplify]: iteration 2 : 3749 enodes (cost 312 ) 0.326 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 0.328 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (exp (fma x x (fma y y (* z z)))) (exp (fma x x (fma y y (* z z)))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (fma x x (fma y y (* z z)))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (pow (fma x x (fma y y (* z z))) 3) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma z (pow z 5) (pow (fma x x (* y y)) 3)) (fma (fma x x (* y y)) (fma x x (- (pow y 2) (pow z 2))) (pow z 4)) (* (fma x x (- (pow y 2) (pow z 2))) (fma x x (fma y y (* z z)))) (fma x x (- (pow y 2) (pow z 2))) (fma y y (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.328 * * * [progress]: adding candidates to table 0.503 * * [progress]: iteration 2 / 4 0.503 * * * [progress]: picking best candidate 0.508 * * * * [pick]: Picked # 0.508 * * * [progress]: localizing error 0.516 * * * [progress]: generating rewritten candidates 0.516 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.520 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.520 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.528 * * * [progress]: generating series expansions 0.528 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.528 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.528 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.529 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.529 * [taylor]: Taking taylor expansion of x in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.529 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.530 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.532 * [taylor]: Taking taylor expansion of 1/2 in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.535 * [taylor]: Taking taylor expansion of x in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of 1 in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of 1/2 in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.550 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of 1 in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.560 * [taylor]: Taking taylor expansion of 1/2 in y 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.565 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.565 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 0.565 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 0.565 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.565 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 0.565 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 0.565 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.565 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.565 * [taylor]: Taking taylor expansion of x in z 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.565 * [taylor]: Taking taylor expansion of y in z 0.566 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.566 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.566 * [taylor]: Taking taylor expansion of x in z 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.566 * [taylor]: Taking taylor expansion of y in z 0.567 * [taylor]: Taking taylor expansion of (* z z) in z 0.567 * [taylor]: Taking taylor expansion of z in z 0.567 * [taylor]: Taking taylor expansion of z in z 0.569 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 0.569 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.569 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 0.569 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 0.569 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.569 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.570 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (* z z) in y 0.570 * [taylor]: Taking taylor expansion of z in y 0.570 * [taylor]: Taking taylor expansion of z in y 0.571 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.571 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.571 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.571 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.571 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.572 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (* z z) in x 0.573 * [taylor]: Taking taylor expansion of z in x 0.573 * [taylor]: Taking taylor expansion of z in x 0.573 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.573 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.573 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.573 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (* z z) in x 0.575 * [taylor]: Taking taylor expansion of z in x 0.575 * [taylor]: Taking taylor expansion of z in x 0.576 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.576 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.576 * [taylor]: Taking taylor expansion of z in y 0.576 * [taylor]: Taking taylor expansion of z in z 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in z 0.576 * [taylor]: Taking taylor expansion of 0 in z 0.580 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.580 * [taylor]: Taking taylor expansion of 1/2 in y 0.580 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.580 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.580 * [taylor]: Taking taylor expansion of z in y 0.581 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.581 * [taylor]: Taking taylor expansion of 1/2 in z 0.581 * [taylor]: Taking taylor expansion of z in z 0.582 * [taylor]: Taking taylor expansion of 0 in z 0.583 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.583 * [taylor]: Taking taylor expansion of 1/2 in z 0.583 * [taylor]: Taking taylor expansion of z in z 0.585 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 0.585 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 0.585 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.585 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 0.585 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.585 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.585 * [taylor]: Taking taylor expansion of x in z 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.585 * [taylor]: Taking taylor expansion of y in z 0.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.586 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.586 * [taylor]: Taking taylor expansion of x in z 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.587 * [taylor]: Taking taylor expansion of y in z 0.588 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.588 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.588 * [taylor]: Taking taylor expansion of z in z 0.588 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.588 * [taylor]: Taking taylor expansion of z in z 0.591 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 0.591 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.591 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y 0.591 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.597 * [taylor]: Taking taylor expansion of z in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.597 * [taylor]: Taking taylor expansion of z in y 0.599 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.599 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.599 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 0.599 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.604 * [taylor]: Taking taylor expansion of z in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.604 * [taylor]: Taking taylor expansion of z in x 0.606 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.606 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.606 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 0.606 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.612 * [taylor]: Taking taylor expansion of z in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.612 * [taylor]: Taking taylor expansion of z in x 0.614 * [taylor]: Taking taylor expansion of 1 in y 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [taylor]: Taking taylor expansion of 1 in z 0.625 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.625 * [taylor]: Taking taylor expansion of 1/2 in y 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.625 * [taylor]: Taking taylor expansion of z in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of 0 in z 0.628 * [taylor]: Taking taylor expansion of 0 in z 0.628 * [taylor]: Taking taylor expansion of 0 in z 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.635 * [taylor]: Taking taylor expansion of 1/2 in z 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.635 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.635 * [taylor]: Taking taylor expansion of z in z 0.637 * [taylor]: Taking taylor expansion of 0 in z 0.637 * [taylor]: Taking taylor expansion of 0 in z 0.645 * [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 0.645 * [taylor]: Taking taylor expansion of -1/2 in y 0.645 * [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 0.645 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.645 * [taylor]: Taking taylor expansion of 1/4 in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.645 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.645 * [taylor]: Taking taylor expansion of z in y 0.645 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.645 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.645 * [taylor]: Taking taylor expansion of 1/2 in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.646 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.646 * [taylor]: Taking taylor expansion of z in y 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.646 * [taylor]: Taking taylor expansion of 1/4 in y 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of 0 in z 0.657 * [taylor]: Taking taylor expansion of 0 in z 0.659 * [taylor]: Taking taylor expansion of 0 in z 0.659 * [taylor]: Taking taylor expansion of 0 in z 0.659 * [taylor]: Taking taylor expansion of 0 in z 0.661 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 0.661 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 0.661 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.661 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z 0.661 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.661 * [taylor]: Taking taylor expansion of x in z 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.662 * [taylor]: Taking taylor expansion of y in z 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.663 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.663 * [taylor]: Taking taylor expansion of x in z 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.663 * [taylor]: Taking taylor expansion of y in z 0.664 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.664 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.664 * [taylor]: Taking taylor expansion of -1 in z 0.664 * [taylor]: Taking taylor expansion of z in z 0.665 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.665 * [taylor]: Taking taylor expansion of -1 in z 0.665 * [taylor]: Taking taylor expansion of z in z 0.668 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 0.668 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.668 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y 0.668 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.668 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.668 * [taylor]: Taking taylor expansion of x in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.671 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.673 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.673 * [taylor]: Taking taylor expansion of -1 in y 0.674 * [taylor]: Taking taylor expansion of z in y 0.674 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.674 * [taylor]: Taking taylor expansion of -1 in y 0.674 * [taylor]: Taking taylor expansion of z in y 0.675 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.676 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.676 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 0.676 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.681 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.681 * [taylor]: Taking taylor expansion of -1 in x 0.681 * [taylor]: Taking taylor expansion of z in x 0.681 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.681 * [taylor]: Taking taylor expansion of -1 in x 0.681 * [taylor]: Taking taylor expansion of z in x 0.683 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.683 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.683 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 0.683 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.684 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.689 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.689 * [taylor]: Taking taylor expansion of -1 in x 0.689 * [taylor]: Taking taylor expansion of z in x 0.689 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.689 * [taylor]: Taking taylor expansion of -1 in x 0.689 * [taylor]: Taking taylor expansion of z in x 0.691 * [taylor]: Taking taylor expansion of 1 in y 0.691 * [taylor]: Taking taylor expansion of 0 in y 0.691 * [taylor]: Taking taylor expansion of 1 in z 0.697 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.697 * [taylor]: Taking taylor expansion of 1/2 in y 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.697 * [taylor]: Taking taylor expansion of z in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of 0 in z 0.699 * [taylor]: Taking taylor expansion of 0 in z 0.699 * [taylor]: Taking taylor expansion of 0 in z 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.706 * [taylor]: Taking taylor expansion of 1/2 in z 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.706 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.706 * [taylor]: Taking taylor expansion of z in z 0.708 * [taylor]: Taking taylor expansion of 0 in z 0.708 * [taylor]: Taking taylor expansion of 0 in z 0.722 * [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 0.722 * [taylor]: Taking taylor expansion of -1/2 in y 0.722 * [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 0.722 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.722 * [taylor]: Taking taylor expansion of 1/4 in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.722 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.722 * [taylor]: Taking taylor expansion of z in y 0.722 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.722 * [taylor]: Taking taylor expansion of 1/2 in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.722 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.722 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.722 * [taylor]: Taking taylor expansion of z in y 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.723 * [taylor]: Taking taylor expansion of 1/4 in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.723 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of 0 in z 0.734 * [taylor]: Taking taylor expansion of 0 in z 0.736 * [taylor]: Taking taylor expansion of 0 in z 0.736 * [taylor]: Taking taylor expansion of 0 in z 0.736 * [taylor]: Taking taylor expansion of 0 in z 0.738 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.738 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.738 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [taylor]: Taking taylor expansion of 1 in y 0.741 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.744 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [taylor]: Taking taylor expansion of 1 in y 0.747 * [taylor]: Taking taylor expansion of 0 in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.755 * [taylor]: Taking taylor expansion of x in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.755 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of 1 in y 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.764 * [taylor]: Taking taylor expansion of 0 in y 0.766 * * * [progress]: simplifying candidates 0.766 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.770 * * [simplify]: iteration 0 : 152 enodes (cost 255 ) 0.774 * * [simplify]: iteration 1 : 617 enodes (cost 227 ) 0.784 * * [simplify]: iteration 2 : 1802 enodes (cost 223 ) 0.822 * * [simplify]: iteration 3 : 5002 enodes (cost 221 ) 0.824 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (fma z z (fma x x (* y y))) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (pow (hypot (sqrt (+ (* x x) (* y y))) z) 3) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) z x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.824 * * * [progress]: adding candidates to table 0.970 * * [progress]: iteration 3 / 4 0.970 * * * [progress]: picking best candidate 0.972 * * * * [pick]: Picked # 0.972 * * * [progress]: localizing error 0.978 * * * [progress]: generating rewritten candidates 0.978 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.979 * * * [progress]: generating series expansions 0.979 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.979 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 0.979 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 0.979 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.979 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 0.979 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 0.979 * [taylor]: Taking taylor expansion of (hypot x y) in z 0.979 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.979 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 0.979 * [taylor]: Taking taylor expansion of (* x x) in z 0.979 * [taylor]: Taking taylor expansion of x in z 0.979 * [taylor]: Taking taylor expansion of x in z 0.979 * [taylor]: Taking taylor expansion of (* y y) in z 0.979 * [taylor]: Taking taylor expansion of y in z 0.979 * [taylor]: Taking taylor expansion of y in z 0.980 * [taylor]: Taking taylor expansion of (hypot x y) in z 0.980 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.980 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 0.980 * [taylor]: Taking taylor expansion of (* x x) in z 0.980 * [taylor]: Taking taylor expansion of x in z 0.980 * [taylor]: Taking taylor expansion of x in z 0.980 * [taylor]: Taking taylor expansion of (* y y) in z 0.980 * [taylor]: Taking taylor expansion of y in z 0.980 * [taylor]: Taking taylor expansion of y in z 0.981 * [taylor]: Taking taylor expansion of (* z z) in z 0.981 * [taylor]: Taking taylor expansion of z in z 0.981 * [taylor]: Taking taylor expansion of z in z 0.983 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 0.983 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.983 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 0.983 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 0.983 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.983 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.984 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.984 * [taylor]: Taking taylor expansion of (* x x) in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of (* y y) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.985 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.985 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.985 * [taylor]: Taking taylor expansion of (* x x) in y 0.985 * [taylor]: Taking taylor expansion of x in y 0.985 * [taylor]: Taking taylor expansion of x in y 0.985 * [taylor]: Taking taylor expansion of (* y y) in y 0.985 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of (* z z) in y 0.986 * [taylor]: Taking taylor expansion of z in y 0.986 * [taylor]: Taking taylor expansion of z in y 0.987 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 0.987 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.987 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 0.987 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 0.987 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.987 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.987 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.987 * [taylor]: Taking taylor expansion of (* x x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (* y y) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.989 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.989 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.989 * [taylor]: Taking taylor expansion of (* x x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (* y y) in x 0.989 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of y in x 0.990 * [taylor]: Taking taylor expansion of (* z z) in x 0.990 * [taylor]: Taking taylor expansion of z in x 0.990 * [taylor]: Taking taylor expansion of z in x 0.991 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 0.991 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 0.991 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 0.991 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 0.991 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.991 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.991 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.991 * [taylor]: Taking taylor expansion of (* x x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (* y y) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.992 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.992 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.992 * [taylor]: Taking taylor expansion of (* x x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (* y y) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (* z z) in x 0.994 * [taylor]: Taking taylor expansion of z in x 0.994 * [taylor]: Taking taylor expansion of z in x 0.994 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.995 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.995 * [taylor]: Taking taylor expansion of z in y 0.995 * [taylor]: Taking taylor expansion of z in z 0.995 * [taylor]: Taking taylor expansion of 0 in y 0.995 * [taylor]: Taking taylor expansion of 0 in z 0.995 * [taylor]: Taking taylor expansion of 0 in z 1.000 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.000 * [taylor]: Taking taylor expansion of 1/2 in y 1.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.000 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.000 * [taylor]: Taking taylor expansion of z in y 1.001 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.001 * [taylor]: Taking taylor expansion of 1/2 in z 1.001 * [taylor]: Taking taylor expansion of z in z 1.002 * [taylor]: Taking taylor expansion of 0 in z 1.003 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.003 * [taylor]: Taking taylor expansion of 1/2 in z 1.003 * [taylor]: Taking taylor expansion of z in z 1.004 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.004 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.004 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.004 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.004 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.004 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.004 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.004 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.004 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.004 * [taylor]: Taking taylor expansion of x in z 1.004 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.004 * [taylor]: Taking taylor expansion of x in z 1.005 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.005 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.005 * [taylor]: Taking taylor expansion of y in z 1.005 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.005 * [taylor]: Taking taylor expansion of y in z 1.006 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.006 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.006 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.006 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.006 * [taylor]: Taking taylor expansion of x in z 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.006 * [taylor]: Taking taylor expansion of x in z 1.006 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.006 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.006 * [taylor]: Taking taylor expansion of y in z 1.006 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.006 * [taylor]: Taking taylor expansion of y in z 1.007 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.007 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.007 * [taylor]: Taking taylor expansion of z in z 1.008 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.008 * [taylor]: Taking taylor expansion of z in z 1.011 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.011 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.011 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.011 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.011 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.011 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.011 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.011 * [taylor]: Taking taylor expansion of x in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.011 * [taylor]: Taking taylor expansion of x in y 1.011 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.014 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.014 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.014 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.015 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.018 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.018 * [taylor]: Taking taylor expansion of z in y 1.018 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.018 * [taylor]: Taking taylor expansion of z in y 1.020 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.020 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.020 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.020 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.020 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.020 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.020 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.020 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.021 * [taylor]: Taking taylor expansion of y in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.021 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.024 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.024 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.024 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.027 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.027 * [taylor]: Taking taylor expansion of z in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.027 * [taylor]: Taking taylor expansion of z in x 1.029 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.029 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.029 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.029 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.029 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.029 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.029 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.033 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.033 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.036 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.036 * [taylor]: Taking taylor expansion of z in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.036 * [taylor]: Taking taylor expansion of z in x 1.038 * [taylor]: Taking taylor expansion of 1 in y 1.038 * [taylor]: Taking taylor expansion of 0 in y 1.038 * [taylor]: Taking taylor expansion of 1 in z 1.045 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.045 * [taylor]: Taking taylor expansion of 1/2 in y 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.045 * [taylor]: Taking taylor expansion of z in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of 0 in z 1.048 * [taylor]: Taking taylor expansion of 0 in z 1.048 * [taylor]: Taking taylor expansion of 0 in z 1.054 * [taylor]: Taking taylor expansion of 0 in y 1.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.056 * [taylor]: Taking taylor expansion of 1/2 in z 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.056 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.056 * [taylor]: Taking taylor expansion of z in z 1.058 * [taylor]: Taking taylor expansion of 0 in z 1.058 * [taylor]: Taking taylor expansion of 0 in z 1.073 * [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 1.073 * [taylor]: Taking taylor expansion of -1/2 in y 1.073 * [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 1.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.073 * [taylor]: Taking taylor expansion of 1/4 in y 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.073 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.073 * [taylor]: Taking taylor expansion of z in y 1.073 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.073 * [taylor]: Taking taylor expansion of 1/2 in y 1.073 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.073 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.073 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.073 * [taylor]: Taking taylor expansion of z in y 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.073 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.074 * [taylor]: Taking taylor expansion of 1/4 in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.074 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of 0 in z 1.085 * [taylor]: Taking taylor expansion of 0 in z 1.087 * [taylor]: Taking taylor expansion of 0 in z 1.087 * [taylor]: Taking taylor expansion of 0 in z 1.087 * [taylor]: Taking taylor expansion of 0 in z 1.089 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 1.089 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 1.089 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.089 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 1.089 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 1.089 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.089 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.089 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.090 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.090 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.090 * [taylor]: Taking taylor expansion of -1 in z 1.090 * [taylor]: Taking taylor expansion of x in z 1.090 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.090 * [taylor]: Taking taylor expansion of -1 in z 1.090 * [taylor]: Taking taylor expansion of x in z 1.090 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.090 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.090 * [taylor]: Taking taylor expansion of -1 in z 1.090 * [taylor]: Taking taylor expansion of y in z 1.090 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.090 * [taylor]: Taking taylor expansion of -1 in z 1.090 * [taylor]: Taking taylor expansion of y in z 1.091 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.091 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.091 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.091 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.091 * [taylor]: Taking taylor expansion of -1 in z 1.091 * [taylor]: Taking taylor expansion of x in z 1.091 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.091 * [taylor]: Taking taylor expansion of -1 in z 1.091 * [taylor]: Taking taylor expansion of x in z 1.091 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.091 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.091 * [taylor]: Taking taylor expansion of -1 in z 1.091 * [taylor]: Taking taylor expansion of y in z 1.092 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.092 * [taylor]: Taking taylor expansion of -1 in z 1.092 * [taylor]: Taking taylor expansion of y in z 1.093 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.093 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.093 * [taylor]: Taking taylor expansion of -1 in z 1.093 * [taylor]: Taking taylor expansion of z in z 1.093 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.093 * [taylor]: Taking taylor expansion of -1 in z 1.093 * [taylor]: Taking taylor expansion of z in z 1.096 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.096 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.096 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.096 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.096 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.097 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.097 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.097 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.097 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.097 * [taylor]: Taking taylor expansion of -1 in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.097 * [taylor]: Taking taylor expansion of -1 in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.097 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.097 * [taylor]: Taking taylor expansion of -1 in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.097 * [taylor]: Taking taylor expansion of -1 in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.100 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.100 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.100 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.100 * [taylor]: Taking taylor expansion of -1 in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.100 * [taylor]: Taking taylor expansion of -1 in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.100 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.101 * [taylor]: Taking taylor expansion of -1 in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.101 * [taylor]: Taking taylor expansion of -1 in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.104 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.104 * [taylor]: Taking taylor expansion of -1 in y 1.104 * [taylor]: Taking taylor expansion of z in y 1.104 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.104 * [taylor]: Taking taylor expansion of -1 in y 1.104 * [taylor]: Taking taylor expansion of z in y 1.106 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.106 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.106 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.106 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.106 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.106 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.106 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.106 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.106 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.106 * [taylor]: Taking taylor expansion of -1 in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.107 * [taylor]: Taking taylor expansion of -1 in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.107 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.107 * [taylor]: Taking taylor expansion of -1 in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.107 * [taylor]: Taking taylor expansion of -1 in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.110 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.110 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.110 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.110 * [taylor]: Taking taylor expansion of -1 in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.110 * [taylor]: Taking taylor expansion of -1 in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.111 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.111 * [taylor]: Taking taylor expansion of -1 in x 1.111 * [taylor]: Taking taylor expansion of y in x 1.111 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.111 * [taylor]: Taking taylor expansion of -1 in x 1.111 * [taylor]: Taking taylor expansion of y in x 1.114 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.114 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.114 * [taylor]: Taking taylor expansion of -1 in x 1.114 * [taylor]: Taking taylor expansion of z in x 1.114 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.114 * [taylor]: Taking taylor expansion of -1 in x 1.114 * [taylor]: Taking taylor expansion of z in x 1.116 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.116 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.116 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.116 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.116 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.116 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.116 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.116 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.116 * [taylor]: Taking taylor expansion of -1 in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.116 * [taylor]: Taking taylor expansion of -1 in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.117 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.117 * [taylor]: Taking taylor expansion of -1 in x 1.117 * [taylor]: Taking taylor expansion of y in x 1.117 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.117 * [taylor]: Taking taylor expansion of -1 in x 1.117 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.120 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.120 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.120 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.120 * [taylor]: Taking taylor expansion of -1 in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.120 * [taylor]: Taking taylor expansion of -1 in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.120 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.120 * [taylor]: Taking taylor expansion of -1 in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.121 * [taylor]: Taking taylor expansion of -1 in x 1.121 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.123 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.123 * [taylor]: Taking taylor expansion of -1 in x 1.123 * [taylor]: Taking taylor expansion of z in x 1.123 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.124 * [taylor]: Taking taylor expansion of -1 in x 1.124 * [taylor]: Taking taylor expansion of z in x 1.126 * [taylor]: Taking taylor expansion of 1 in y 1.126 * [taylor]: Taking taylor expansion of 0 in y 1.126 * [taylor]: Taking taylor expansion of 1 in z 1.133 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.133 * [taylor]: Taking taylor expansion of 1/2 in y 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.133 * [taylor]: Taking taylor expansion of z in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of 0 in z 1.135 * [taylor]: Taking taylor expansion of 0 in z 1.135 * [taylor]: Taking taylor expansion of 0 in z 1.142 * [taylor]: Taking taylor expansion of 0 in y 1.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.144 * [taylor]: Taking taylor expansion of 1/2 in z 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.144 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.144 * [taylor]: Taking taylor expansion of z in z 1.146 * [taylor]: Taking taylor expansion of 0 in z 1.146 * [taylor]: Taking taylor expansion of 0 in z 1.161 * [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 1.161 * [taylor]: Taking taylor expansion of -1/2 in y 1.162 * [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 1.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.162 * [taylor]: Taking taylor expansion of 1/4 in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.162 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.162 * [taylor]: Taking taylor expansion of z in y 1.162 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.162 * [taylor]: Taking taylor expansion of 1/2 in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.162 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.162 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.162 * [taylor]: Taking taylor expansion of z in y 1.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.162 * [taylor]: Taking taylor expansion of y in y 1.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.162 * [taylor]: Taking taylor expansion of 1/4 in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.163 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.173 * [taylor]: Taking taylor expansion of 0 in z 1.173 * [taylor]: Taking taylor expansion of 0 in z 1.176 * [taylor]: Taking taylor expansion of 0 in z 1.176 * [taylor]: Taking taylor expansion of 0 in z 1.176 * [taylor]: Taking taylor expansion of 0 in z 1.177 * * * [progress]: simplifying candidates 1.178 * [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)) z x (* -1 x) 1.181 * * [simplify]: iteration 0 : 36 enodes (cost 55 ) 1.182 * * [simplify]: iteration 1 : 47 enodes (cost 46 ) 1.184 * * [simplify]: iteration 2 : 63 enodes (cost 46 ) 1.186 * * [simplify]: iteration 3 : 116 enodes (cost 46 ) 1.190 * * [simplify]: iteration 4 : 341 enodes (cost 46 ) 1.202 * * [simplify]: iteration 5 : 1395 enodes (cost 46 ) 1.285 * * [simplify]: iteration 6 : 5001 enodes (cost 46 ) 1.286 * [simplify]: Simplified to: (expm1 (hypot (* 1 (hypot x y)) z)) (log1p (hypot (* 1 (hypot x y)) z)) (fma z z (* (hypot x y) (hypot x y))) (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)) (pow (hypot (* 1 (hypot x y)) z) 3) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) z x (* -1 x) 1.286 * * * [progress]: adding candidates to table 1.321 * [progress]: [Phase 3 of 3] Extracting. 1.321 * * [regime]: Finding splitpoints for: (# #) 1.322 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x) 1.322 * * * * [regimes]: Trying to branch on (* z z) from (# #) 1.339 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.351 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.363 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.379 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# #) 1.392 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# #) 1.407 * * * * [regimes]: Trying to branch on z from (# #) 1.423 * * * * [regimes]: Trying to branch on y from (# #) 1.436 * * * * [regimes]: Trying to branch on x from (# #) 1.452 * * * [regime]: Found split indices: #