20.949 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.024 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.027 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.029 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.030 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.032 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.032 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.048 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.052 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.060 * [taylor]: Taking taylor expansion of x in z 0.060 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.060 * [taylor]: Taking taylor expansion of y in z 0.060 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.060 * [taylor]: Taking taylor expansion of z in z 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.062 * [taylor]: Taking taylor expansion of z in y 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.064 * [taylor]: Taking taylor expansion of z in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.065 * [taylor]: Taking taylor expansion of z in x 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.067 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.067 * [taylor]: Taking taylor expansion of z in y 0.068 * [taylor]: Taking taylor expansion of z in z 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in z 0.068 * [taylor]: Taking taylor expansion of 0 in z 0.070 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.070 * [taylor]: Taking taylor expansion of 1/2 in y 0.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.070 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.070 * [taylor]: Taking taylor expansion of z in y 0.071 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.071 * [taylor]: Taking taylor expansion of 1/2 in z 0.071 * [taylor]: Taking taylor expansion of z in z 0.072 * [taylor]: Taking taylor expansion of 0 in z 0.078 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.078 * [taylor]: Taking taylor expansion of 1/2 in z 0.078 * [taylor]: Taking taylor expansion of z in z 0.080 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.080 * [taylor]: Taking taylor expansion of x in z 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.080 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.080 * [taylor]: Taking taylor expansion of z in z 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.081 * [taylor]: Taking taylor expansion of y in z 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.084 * [taylor]: Taking taylor expansion of z in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.088 * [taylor]: Taking taylor expansion of z in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.091 * [taylor]: Taking taylor expansion of z in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 1 in z 0.096 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.096 * [taylor]: Taking taylor expansion of 1/2 in y 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.097 * [taylor]: Taking taylor expansion of z in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of 0 in z 0.099 * [taylor]: Taking taylor expansion of 0 in z 0.099 * [taylor]: Taking taylor expansion of 0 in z 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.104 * [taylor]: Taking taylor expansion of 1/2 in z 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.104 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.104 * [taylor]: Taking taylor expansion of z in z 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.110 * [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 0.110 * [taylor]: Taking taylor expansion of -1/2 in y 0.110 * [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 0.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.110 * [taylor]: Taking taylor expansion of 1/4 in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.110 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.110 * [taylor]: Taking taylor expansion of z in y 0.110 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.110 * [taylor]: Taking taylor expansion of 1/2 in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.111 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.111 * [taylor]: Taking taylor expansion of z in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.111 * [taylor]: Taking taylor expansion of 1/4 in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of 0 in z 0.123 * [taylor]: Taking taylor expansion of 0 in z 0.125 * [taylor]: Taking taylor expansion of 0 in z 0.126 * [taylor]: Taking taylor expansion of 0 in z 0.126 * [taylor]: Taking taylor expansion of 0 in z 0.128 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.128 * [taylor]: Taking taylor expansion of x in z 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.128 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.128 * [taylor]: Taking taylor expansion of z in z 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.129 * [taylor]: Taking taylor expansion of y in z 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.132 * [taylor]: Taking taylor expansion of z in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.136 * [taylor]: Taking taylor expansion of z in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.139 * [taylor]: Taking taylor expansion of z in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of 1 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [taylor]: Taking taylor expansion of 1 in z 0.144 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (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)) (/ 1 (pow y 2))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.144 * [taylor]: Taking taylor expansion of z in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 0 in z 0.147 * [taylor]: Taking taylor expansion of 0 in z 0.147 * [taylor]: Taking taylor expansion of 0 in z 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.152 * [taylor]: Taking taylor expansion of 1/2 in z 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.152 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.152 * [taylor]: Taking taylor expansion of z in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.159 * [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 0.159 * [taylor]: Taking taylor expansion of -1/2 in y 0.159 * [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 0.159 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.159 * [taylor]: Taking taylor expansion of 1/4 in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.159 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.159 * [taylor]: Taking taylor expansion of z in y 0.159 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.159 * [taylor]: Taking taylor expansion of 1/2 in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) 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 y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.160 * [taylor]: Taking taylor expansion of 1/4 in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.179 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.179 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of 1 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of 1 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.210 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.210 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.210 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.210 * [taylor]: Taking taylor expansion of x in z 0.211 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.211 * [taylor]: Taking taylor expansion of y in z 0.211 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.211 * [taylor]: Taking taylor expansion of z in z 0.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.211 * [taylor]: Taking taylor expansion of z in y 0.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 (pow z 2) in x 0.211 * [taylor]: Taking taylor expansion of z in x 0.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 (pow z 2) in x 0.211 * [taylor]: Taking taylor expansion of z in x 0.211 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.212 * [taylor]: Taking taylor expansion of z in y 0.212 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.212 * [taylor]: Taking taylor expansion of z in z 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.213 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of 1 in y 0.214 * [taylor]: Taking taylor expansion of 1 in z 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [taylor]: Taking taylor expansion of 1 in z 0.216 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.217 * [taylor]: Taking taylor expansion of x in z 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.217 * [taylor]: Taking taylor expansion of z in z 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.217 * [taylor]: Taking taylor expansion of y in z 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.218 * [taylor]: Taking taylor expansion of z in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.219 * [taylor]: Taking taylor expansion of z in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.220 * [taylor]: Taking taylor expansion of z in x 0.221 * [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 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.224 * [taylor]: Taking taylor expansion of z in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 1 in z 0.225 * [taylor]: Taking taylor expansion of 1 in z 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.233 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.233 * [taylor]: Taking taylor expansion of z in z 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.235 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.235 * [taylor]: Taking taylor expansion of x in z 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.236 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.236 * [taylor]: Taking taylor expansion of z in z 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.236 * [taylor]: Taking taylor expansion of y in z 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.237 * [taylor]: Taking taylor expansion of z in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.238 * [taylor]: Taking taylor expansion of z in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.239 * [taylor]: Taking taylor expansion of z in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of 1 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.243 * [taylor]: Taking taylor expansion of z in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of 1 in z 0.244 * [taylor]: Taking taylor expansion of 1 in z 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of 0 in z 0.247 * [taylor]: Taking taylor expansion of 0 in z 0.247 * [taylor]: Taking taylor expansion of 0 in z 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.252 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.252 * [taylor]: Taking taylor expansion of z in z 0.252 * [taylor]: Taking taylor expansion of 0 in z 0.252 * [taylor]: Taking taylor expansion of 0 in z 0.253 * * * [progress]: simplifying candidates 0.254 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 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 z 2))) 0.259 * * [simplify]: iteration 0 : 225 enodes (cost 355 ) 0.266 * * [simplify]: iteration 1 : 1043 enodes (cost 323 ) 0.285 * * [simplify]: iteration 2 : 3749 enodes (cost 312 ) 0.355 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 0.358 * [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))) (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)) (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)) z x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) 0.358 * * * [progress]: adding candidates to table 0.516 * * [progress]: iteration 2 / 4 0.516 * * * [progress]: picking best candidate 0.529 * * * * [pick]: Picked # 0.529 * * * [progress]: localizing error 0.537 * * * [progress]: generating rewritten candidates 0.537 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.541 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.546 * * * [progress]: generating series expansions 0.546 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.546 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.547 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.547 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.548 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.548 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.551 * [taylor]: Taking taylor expansion of 1/2 in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of 1 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.565 * [taylor]: Taking taylor expansion of 1/2 in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of 1 in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.581 * [taylor]: Taking taylor expansion of 1/2 in y 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.586 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.586 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.586 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.586 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.586 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [taylor]: Taking taylor expansion of 1 in y 0.590 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.592 * [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 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of 1 in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.604 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.605 * [taylor]: Taking taylor expansion of x in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.606 * [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 0.607 * [taylor]: Taking taylor expansion of 1 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.617 * * * [progress]: simplifying candidates 0.617 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.621 * * [simplify]: iteration 0 : 136 enodes (cost 177 ) 0.626 * * [simplify]: iteration 1 : 589 enodes (cost 162 ) 0.636 * * [simplify]: iteration 2 : 1761 enodes (cost 158 ) 0.675 * * [simplify]: iteration 3 : 5002 enodes (cost 156 ) 0.677 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.677 * * * [progress]: adding candidates to table 0.772 * * [progress]: iteration 3 / 4 0.772 * * * [progress]: picking best candidate 0.777 * * * * [pick]: Picked # 0.777 * * * [progress]: localizing error 0.782 * * * [progress]: generating rewritten candidates 0.782 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.783 * * * [progress]: generating series expansions 0.783 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.784 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.784 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.784 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.784 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.784 * [taylor]: Taking taylor expansion of (* x x) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of (* y y) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.786 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.786 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.786 * [taylor]: Taking taylor expansion of (* x x) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (* y y) in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.788 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.788 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.788 * [taylor]: Taking taylor expansion of (* x x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (* y y) in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.792 * [taylor]: Taking taylor expansion of 1/2 in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.796 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.796 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.796 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.797 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.797 * [taylor]: Taking taylor expansion of x in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.797 * [taylor]: Taking taylor expansion of x in y 0.797 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.801 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.801 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.801 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.805 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.810 * [taylor]: Taking taylor expansion of 1 in y 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.813 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.813 * [taylor]: Taking taylor expansion of 1/2 in y 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.819 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.819 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.819 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.819 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.819 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.819 * [taylor]: Taking taylor expansion of -1 in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.820 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.820 * [taylor]: Taking taylor expansion of -1 in y 0.820 * [taylor]: Taking taylor expansion of x in y 0.820 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.820 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.820 * [taylor]: Taking taylor expansion of -1 in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.820 * [taylor]: Taking taylor expansion of -1 in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.824 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.824 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.824 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.824 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.824 * [taylor]: Taking taylor expansion of -1 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.829 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.829 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.829 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.829 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.829 * [taylor]: Taking taylor expansion of -1 in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.829 * [taylor]: Taking taylor expansion of -1 in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.830 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.830 * [taylor]: Taking taylor expansion of -1 in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.830 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.830 * [taylor]: Taking taylor expansion of -1 in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of 1 in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.837 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.837 * [taylor]: Taking taylor expansion of 1/2 in y 0.837 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.847 * * * [progress]: simplifying candidates 0.848 * [simplify]: Simplifying using # : (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 0.851 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.854 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.857 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.860 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.863 * * [simplify]: iteration 4 : 51 enodes (cost 24 ) 0.866 * * [simplify]: iteration 5 : 114 enodes (cost 24 ) 0.872 * * [simplify]: iteration 6 : 459 enodes (cost 24 ) 0.891 * * [simplify]: iteration 7 : 1603 enodes (cost 24 ) 0.958 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.958 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 0.959 * * * [progress]: adding candidates to table 0.989 * * [progress]: iteration 4 / 4 0.989 * * * [progress]: picking best candidate 0.991 * * * * [pick]: Picked # 0.991 * * * [progress]: localizing error 0.999 * * * [progress]: generating rewritten candidates 0.999 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.006 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.006 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.007 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.011 * * * [progress]: generating series expansions 1.011 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.011 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 1.011 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.011 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.011 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.012 * [taylor]: Taking taylor expansion of (* x x) in y 1.012 * [taylor]: Taking taylor expansion of x in y 1.012 * [taylor]: Taking taylor expansion of x in y 1.012 * [taylor]: Taking taylor expansion of (* y y) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.013 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.013 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.014 * [taylor]: Taking taylor expansion of (* x x) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of (* y y) in x 1.014 * [taylor]: Taking taylor expansion of y in x 1.014 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.015 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.015 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.015 * [taylor]: Taking taylor expansion of (* x x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (* y y) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of 0 in y 1.019 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.019 * [taylor]: Taking taylor expansion of 1/2 in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of 0 in y 1.022 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 1.022 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.022 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.022 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.022 * [taylor]: Taking taylor expansion of x in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.022 * [taylor]: Taking taylor expansion of x in y 1.022 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.026 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.026 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.026 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.030 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.030 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.030 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 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 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of 1 in y 1.034 * [taylor]: Taking taylor expansion of 0 in y 1.041 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.041 * [taylor]: Taking taylor expansion of 1/2 in y 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.047 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 1.047 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.047 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.047 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.047 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.047 * [taylor]: Taking taylor expansion of -1 in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.047 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.047 * [taylor]: Taking taylor expansion of -1 in y 1.047 * [taylor]: Taking taylor expansion of x in y 1.047 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.047 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.047 * [taylor]: Taking taylor expansion of -1 in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.048 * [taylor]: Taking taylor expansion of -1 in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.052 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.052 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.053 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.053 * [taylor]: Taking taylor expansion of -1 in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.056 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.056 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.056 * [taylor]: Taking taylor expansion of -1 in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.057 * [taylor]: Taking taylor expansion of -1 in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.057 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.057 * [taylor]: Taking taylor expansion of -1 in x 1.057 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.058 * [taylor]: Taking taylor expansion of -1 in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.061 * [taylor]: Taking taylor expansion of 1 in y 1.061 * [taylor]: Taking taylor expansion of 0 in y 1.065 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.065 * [taylor]: Taking taylor expansion of 1/2 in y 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of 0 in y 1.072 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.072 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 1.072 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.072 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.072 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.072 * [taylor]: Taking taylor expansion of (* x x) in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [taylor]: Taking taylor expansion of (* y y) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.074 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.074 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.074 * [taylor]: Taking taylor expansion of (* x x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (* y y) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.076 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.076 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.076 * [taylor]: Taking taylor expansion of (* x x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (* y y) in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of y in y 1.078 * [taylor]: Taking taylor expansion of 0 in y 1.079 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.079 * [taylor]: Taking taylor expansion of 1/2 in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.082 * [taylor]: Taking taylor expansion of 0 in y 1.083 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 1.083 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.083 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.083 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.083 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.083 * [taylor]: Taking taylor expansion of x in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.083 * [taylor]: Taking taylor expansion of x in y 1.083 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.087 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.087 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.088 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.088 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.089 * [taylor]: Taking taylor expansion of y in x 1.092 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.092 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.092 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.096 * [taylor]: Taking taylor expansion of 1 in y 1.096 * [taylor]: Taking taylor expansion of 0 in y 1.099 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.099 * [taylor]: Taking taylor expansion of 1/2 in y 1.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of 0 in y 1.105 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 1.105 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.105 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.105 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.105 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.105 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.105 * [taylor]: Taking taylor expansion of -1 in y 1.106 * [taylor]: Taking taylor expansion of x in y 1.106 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.106 * [taylor]: Taking taylor expansion of -1 in y 1.106 * [taylor]: Taking taylor expansion of x in y 1.106 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.106 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.106 * [taylor]: Taking taylor expansion of -1 in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.106 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.106 * [taylor]: Taking taylor expansion of -1 in y 1.106 * [taylor]: Taking taylor expansion of y in y 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 1.111 * [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 (hypot (/ -1 x) (/ -1 y)) in x 1.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.115 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.115 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.115 * [taylor]: Taking taylor expansion of -1 in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.115 * [taylor]: Taking taylor expansion of -1 in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.116 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.116 * [taylor]: Taking taylor expansion of -1 in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.116 * [taylor]: Taking taylor expansion of -1 in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of 1 in y 1.119 * [taylor]: Taking taylor expansion of 0 in y 1.122 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.122 * [taylor]: Taking taylor expansion of 1/2 in y 1.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.123 * [taylor]: Taking taylor expansion of y in y 1.127 * [taylor]: Taking taylor expansion of 0 in y 1.129 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.129 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 1.129 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.129 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.129 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.129 * [taylor]: Taking taylor expansion of (* x x) in y 1.129 * [taylor]: Taking taylor expansion of x in y 1.129 * [taylor]: Taking taylor expansion of x in y 1.129 * [taylor]: Taking taylor expansion of (* y y) in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.131 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.131 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.131 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.131 * [taylor]: Taking taylor expansion of (* x x) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of (* y y) in x 1.131 * [taylor]: Taking taylor expansion of y in x 1.132 * [taylor]: Taking taylor expansion of y in x 1.133 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.133 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.133 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.133 * [taylor]: Taking taylor expansion of (* x x) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (* y y) in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.135 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.137 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.137 * [taylor]: Taking taylor expansion of 1/2 in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of 0 in y 1.141 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 1.141 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.141 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.141 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.141 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.141 * [taylor]: Taking taylor expansion of x in y 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.141 * [taylor]: Taking taylor expansion of x in y 1.141 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.141 * [taylor]: Taking taylor expansion of y in y 1.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.142 * [taylor]: Taking taylor expansion of y in y 1.145 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.145 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.145 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.145 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.146 * [taylor]: Taking taylor expansion of y in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.146 * [taylor]: Taking taylor expansion of y in x 1.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.153 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.153 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.157 * [taylor]: Taking taylor expansion of 1 in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.161 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.161 * [taylor]: Taking taylor expansion of 1/2 in y 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.161 * [taylor]: Taking taylor expansion of y in y 1.165 * [taylor]: Taking taylor expansion of 0 in y 1.167 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 1.167 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.167 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.167 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.167 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.167 * [taylor]: Taking taylor expansion of -1 in y 1.167 * [taylor]: Taking taylor expansion of x in y 1.167 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.167 * [taylor]: Taking taylor expansion of -1 in y 1.167 * [taylor]: Taking taylor expansion of x in y 1.167 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.167 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.167 * [taylor]: Taking taylor expansion of -1 in y 1.167 * [taylor]: Taking taylor expansion of y in y 1.168 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.168 * [taylor]: Taking taylor expansion of -1 in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.172 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.172 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.172 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.172 * [taylor]: Taking taylor expansion of -1 in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.172 * [taylor]: Taking taylor expansion of -1 in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.173 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.173 * [taylor]: Taking taylor expansion of -1 in x 1.173 * [taylor]: Taking taylor expansion of y in x 1.173 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.173 * [taylor]: Taking taylor expansion of -1 in x 1.173 * [taylor]: Taking taylor expansion of y in x 1.176 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.176 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.176 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.176 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.176 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.177 * [taylor]: Taking taylor expansion of -1 in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.177 * [taylor]: Taking taylor expansion of -1 in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.177 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.177 * [taylor]: Taking taylor expansion of -1 in x 1.177 * [taylor]: Taking taylor expansion of y in x 1.177 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.177 * [taylor]: Taking taylor expansion of -1 in x 1.177 * [taylor]: Taking taylor expansion of y in x 1.181 * [taylor]: Taking taylor expansion of 1 in y 1.181 * [taylor]: Taking taylor expansion of 0 in y 1.185 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.185 * [taylor]: Taking taylor expansion of 1/2 in y 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.185 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of 0 in y 1.191 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.191 * [approximate]: Taking taylor expansion of (sqrt (hypot x y)) in (x y) around 0 1.191 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in y 1.191 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.191 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.191 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.191 * [taylor]: Taking taylor expansion of (* x x) in y 1.191 * [taylor]: Taking taylor expansion of x in y 1.191 * [taylor]: Taking taylor expansion of x in y 1.191 * [taylor]: Taking taylor expansion of (* y y) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.193 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x 1.193 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.193 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.193 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.193 * [taylor]: Taking taylor expansion of (* x x) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (* y y) in x 1.193 * [taylor]: Taking taylor expansion of y in x 1.193 * [taylor]: Taking taylor expansion of y in x 1.195 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x 1.195 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.195 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.195 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.195 * [taylor]: Taking taylor expansion of (* x x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of (* y y) in x 1.195 * [taylor]: Taking taylor expansion of y in x 1.196 * [taylor]: Taking taylor expansion of y in x 1.197 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.197 * [taylor]: Taking taylor expansion of y in y 1.199 * [taylor]: Taking taylor expansion of 0 in y 1.201 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y 1.201 * [taylor]: Taking taylor expansion of 1/4 in y 1.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.202 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.212 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.212 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in y 1.212 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.212 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.212 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.212 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.213 * [taylor]: Taking taylor expansion of y in y 1.217 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x 1.217 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.217 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.217 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.223 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x 1.223 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.223 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.223 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.228 * [taylor]: Taking taylor expansion of 0 in y 1.228 * [taylor]: Taking taylor expansion of +nan.0 in y 1.231 * [taylor]: Taking taylor expansion of +nan.0 in y 1.236 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y 1.236 * [taylor]: Taking taylor expansion of +nan.0 in y 1.236 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y 1.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.236 * [taylor]: Taking taylor expansion of 1/2 in y 1.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.236 * [taylor]: Taking taylor expansion of y in y 1.237 * [taylor]: Taking taylor expansion of +nan.0 in y 1.243 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 1.244 * [taylor]: Taking taylor expansion of +nan.0 in y 1.244 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 1.244 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 1.244 * [taylor]: Taking taylor expansion of +nan.0 in y 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.244 * [taylor]: Taking taylor expansion of y in y 1.244 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.244 * [taylor]: Taking taylor expansion of +nan.0 in y 1.252 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 1.252 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in y 1.252 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.253 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.253 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.253 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.253 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.253 * [taylor]: Taking taylor expansion of -1 in y 1.253 * [taylor]: Taking taylor expansion of x in y 1.253 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.253 * [taylor]: Taking taylor expansion of -1 in y 1.253 * [taylor]: Taking taylor expansion of x in y 1.253 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.253 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.253 * [taylor]: Taking taylor expansion of -1 in y 1.253 * [taylor]: Taking taylor expansion of y in y 1.253 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.253 * [taylor]: Taking taylor expansion of -1 in y 1.253 * [taylor]: Taking taylor expansion of y in y 1.262 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x 1.262 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.262 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.262 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.262 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.262 * [taylor]: Taking taylor expansion of -1 in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.263 * [taylor]: Taking taylor expansion of -1 in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.263 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.263 * [taylor]: Taking taylor expansion of -1 in x 1.263 * [taylor]: Taking taylor expansion of y in x 1.263 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.263 * [taylor]: Taking taylor expansion of -1 in x 1.263 * [taylor]: Taking taylor expansion of y in x 1.268 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x 1.268 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.268 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.268 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.268 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.268 * [taylor]: Taking taylor expansion of -1 in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.268 * [taylor]: Taking taylor expansion of -1 in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.269 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.269 * [taylor]: Taking taylor expansion of -1 in x 1.269 * [taylor]: Taking taylor expansion of y in x 1.269 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.269 * [taylor]: Taking taylor expansion of -1 in x 1.269 * [taylor]: Taking taylor expansion of y in x 1.273 * [taylor]: Taking taylor expansion of 0 in y 1.273 * [taylor]: Taking taylor expansion of +nan.0 in y 1.276 * [taylor]: Taking taylor expansion of +nan.0 in y 1.281 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y 1.281 * [taylor]: Taking taylor expansion of +nan.0 in y 1.281 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y 1.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.281 * [taylor]: Taking taylor expansion of 1/2 in y 1.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.281 * [taylor]: Taking taylor expansion of y in y 1.282 * [taylor]: Taking taylor expansion of +nan.0 in y 1.289 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 1.289 * [taylor]: Taking taylor expansion of +nan.0 in y 1.289 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 1.289 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 1.289 * [taylor]: Taking taylor expansion of +nan.0 in y 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.289 * [taylor]: Taking taylor expansion of y in y 1.289 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.290 * [taylor]: Taking taylor expansion of +nan.0 in y 1.297 * * * [progress]: simplifying candidates 1.299 * [simplify]: Simplifying using # : (expm1 (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (log1p (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot x y) (hypot x y)) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (hypot x y) (hypot x y)) (+ 1 1) (+ (log (sqrt (hypot x y))) (log (sqrt (hypot x y)))) (log (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (exp (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y))) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y)))) (* (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y))))) (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (hypot x y) (hypot x y)) (sqrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (sqrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* 1 1) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot x y)) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (* (sqrt (hypot x y)) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (sqrt (hypot x y)) (sqrt (sqrt (hypot x y)))) (* (sqrt (hypot x y)) (sqrt 1)) (* (sqrt (hypot x y)) (sqrt (sqrt (hypot x y)))) (* (sqrt (hypot x y)) 1) (* (cbrt (sqrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (cbrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (sqrt (hypot x y))) (log1p (sqrt (hypot x y))) (log (sqrt (hypot x y))) (exp (sqrt (hypot x y))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (cbrt (sqrt (hypot x y))) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (cbrt (hypot x y))) (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) (sqrt 1) (sqrt (hypot x y)) (/ 1 2) (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.305 * * [simplify]: iteration 0 : 164 enodes (cost 296 ) 1.311 * * [simplify]: iteration 1 : 607 enodes (cost 256 ) 1.333 * * [simplify]: iteration 2 : 3753 enodes (cost 243 ) 1.471 * * [simplify]: iteration 3 : 5001 enodes (cost 243 ) 1.474 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) 1 1 2 1 1 (* (hypot x y) (hypot x y)) (hypot x y) (* (hypot x y) (hypot x y)) 2 (log (hypot x y)) (log (hypot x y)) (exp (hypot x y)) (pow (hypot x y) 3) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (* (hypot x y) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (pow (cbrt (sqrt (hypot x y))) 4) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 (hypot x y) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 (hypot x y) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 2 1 (* (pow (cbrt (sqrt (hypot x y))) 4) (cbrt (sqrt (hypot x y)))) (* (fabs (cbrt (hypot x y))) (sqrt (hypot x y))) (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (hypot x y)) (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (hypot x y)) (pow (cbrt (sqrt (hypot x y))) 4) (* (sqrt (cbrt (hypot x y))) (sqrt (hypot x y))) (pow (sqrt (sqrt (hypot x y))) 3) (hypot x y) (pow (sqrt (sqrt (hypot x y))) 3) (hypot x y) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (sqrt (hypot x y))) (log1p (sqrt (hypot x y))) (log (sqrt (hypot x y))) (exp (sqrt (hypot x y))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (cbrt (sqrt (hypot x y))) (pow (sqrt (hypot x y)) 3) (fabs (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) 1 (sqrt (hypot x y)) 1/2 (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 1.474 * * * [progress]: adding candidates to table 1.673 * [progress]: [Phase 3 of 3] Extracting. 1.673 * * [regime]: Finding splitpoints for: (# # #) 1.674 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) z y x) 1.674 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.691 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.707 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 1.726 * * * * [regimes]: Trying to branch on z from (# # #) 1.744 * * * * [regimes]: Trying to branch on y from (# # #) 1.764 * * * * [regimes]: Trying to branch on x from (# # #) 1.781 * * * [regime]: Found split indices: #