19.551 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.024 * * [simplify]: iteration 0 : 23 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 52 enodes (cost 6 ) 0.027 * * [simplify]: iteration 2 : 117 enodes (cost 6 ) 0.029 * * [simplify]: iteration 3 : 240 enodes (cost 6 ) 0.033 * * [simplify]: iteration 4 : 478 enodes (cost 6 ) 0.039 * * [simplify]: iteration 5 : 947 enodes (cost 6 ) 0.050 * * [simplify]: iteration 6 : 1844 enodes (cost 6 ) 0.087 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.088 * [simplify]: Simplified to: (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 0.091 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.094 * * * * [pick]: Picked # 0.094 * * * [progress]: localizing error 0.102 * * * [progress]: generating rewritten candidates 0.102 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.113 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.118 * * * [progress]: generating series expansions 0.118 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.119 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.119 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.119 * [taylor]: Taking taylor expansion of (+ x y) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (- x y) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.119 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.120 * [taylor]: Taking taylor expansion of (+ x y) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (- x y) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.120 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.120 * [taylor]: Taking taylor expansion of (+ x y) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (- x y) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of -1 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.124 * [taylor]: Taking taylor expansion of 2 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.129 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.136 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.139 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.139 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of 1 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.148 * [taylor]: Taking taylor expansion of 2 in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.157 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.157 * [taylor]: Taking taylor expansion of -1 in y 0.157 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.157 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.159 * [taylor]: Taking taylor expansion of -1 in x 0.159 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.160 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.162 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of 1 in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.173 * [taylor]: Taking taylor expansion of 2 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.182 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [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 (pow x 2)) (/ 1 (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.194 * [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 0.200 * [taylor]: Taking taylor expansion of 1 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * * * [progress]: simplifying candidates 0.209 * [simplify]: Simplifying using # : (expm1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x 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)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.214 * * [simplify]: iteration 0 : 322 enodes (cost 380 ) 0.221 * * [simplify]: iteration 1 : 1875 enodes (cost 324 ) 0.251 * * [simplify]: iteration 2 : 5001 enodes (cost 308 ) 0.253 * [simplify]: Simplified to: (expm1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (exp (/ (- x y) (fma x x (* y y)))) (+ x y)) (pow (/ (+ x y) (/ (fma x x (* y y)) (- x y))) 3) (pow (/ (+ x y) (/ (fma x x (* y y)) (- x y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (+ x y) (/ (fma x x (* y y)) (- x y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (pow y 2) (pow x 2)) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (/ (fma x x (* y y)) (- x y)) (+ x y)) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (/ (hypot x y) (+ x y))) (* (- x y) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (* (/ (+ x y) (fma (* (pow y 4) y) y (pow x 6))) (- x y)) (/ 1 (+ (* x x) (* y y))) (* (fma y (- y x) (pow x 2)) (* (fma x x (fma y y (* x y))) (fma x x (* y y)))) (* (* (- x y) (fma x x (fma y y (* x y)))) (fma x x (* y y))) (* (fma y (- y x) (pow x 2)) (* (+ x y) (fma x x (* y y)))) (fma (- (pow y 3)) y (pow x 4)) (* (fma x x (- (* y y) (* x y))) (fma x x (* y y))) (* (- x y) (fma x x (* y y))) (* (fma x x (fma y y (* x y))) (fma x x (* y y))) (* (+ x y) (fma x x (* y y))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (* (fma x x (* y y)) 1)) (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 (* (pow y 4) y) y (pow x 6)) (fma (fma y y (* x y)) (* y (- y x)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (* (- x y) (+ x y)) -1 1 1 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.253 * * * [progress]: adding candidates to table 0.355 * * [progress]: iteration 2 / 4 0.355 * * * [progress]: picking best candidate 0.359 * * * * [pick]: Picked # 0.359 * * * [progress]: localizing error 0.360 * * * [progress]: generating rewritten candidates 0.360 * * * [progress]: generating series expansions 0.360 * * * [progress]: simplifying candidates 0.360 * [simplify]: Simplifying using # : 0.363 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.363 * [simplify]: Simplified to: 0.363 * * * [progress]: adding candidates to table 0.363 * * [progress]: iteration 3 / 4 0.363 * * * [progress]: picking best candidate 0.366 * * * * [pick]: Picked # 0.366 * * * [progress]: localizing error 0.379 * * * [progress]: generating rewritten candidates 0.379 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.383 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.392 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.416 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.425 * * * [progress]: generating series expansions 0.425 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.425 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.427 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.429 * [taylor]: Taking taylor expansion of 1/2 in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of 1 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of 1/2 in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of 1 in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.457 * [taylor]: Taking taylor expansion of 1/2 in y 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.462 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.462 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 0.462 * [taylor]: Taking taylor expansion of (- x y) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.462 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.462 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.462 * [taylor]: Taking taylor expansion of (* x x) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (* y y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 0.464 * [taylor]: Taking taylor expansion of (- x y) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.464 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.464 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.464 * [taylor]: Taking taylor expansion of (* x x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (* y y) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 0.465 * [taylor]: Taking taylor expansion of (- x y) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.465 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.465 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.465 * [taylor]: Taking taylor expansion of (* x x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (* y y) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of -1 in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.474 * [taylor]: Taking taylor expansion of 1/2 in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.479 * [taylor]: Taking taylor expansion of 1/2 in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.485 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 0.485 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 0.485 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.486 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.486 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.490 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.490 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.490 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 0.494 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.495 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.495 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.495 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of 1 in y 0.499 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.505 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.505 * [taylor]: Taking taylor expansion of 1/2 in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.513 * [taylor]: Taking taylor expansion of 1/2 in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.513 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.519 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 0.519 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.520 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.520 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.520 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.520 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.520 * [taylor]: Taking taylor expansion of -1 in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.520 * [taylor]: Taking taylor expansion of -1 in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.520 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.520 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.520 * [taylor]: Taking taylor expansion of -1 in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.520 * [taylor]: Taking taylor expansion of -1 in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 0.524 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.524 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.524 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.524 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.525 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 0.529 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.529 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.529 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.529 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.529 * [taylor]: Taking taylor expansion of -1 in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.530 * [taylor]: Taking taylor expansion of -1 in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.530 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.530 * [taylor]: Taking taylor expansion of -1 in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.530 * [taylor]: Taking taylor expansion of -1 in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of -1 in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.540 * [taylor]: Taking taylor expansion of 1/2 in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.548 * [taylor]: Taking taylor expansion of 1/2 in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.556 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.556 * [approximate]: Taking taylor expansion of (* (/ (* (+ x y) (- x y)) (hypot x y)) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in (x y) around 0 0.556 * [taylor]: Taking taylor expansion of (* (/ (* (+ x y) (- x y)) (hypot x y)) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in y 0.556 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in y 0.556 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.557 * [taylor]: Taking taylor expansion of (+ x y) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (- x y) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.557 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.557 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.557 * [taylor]: Taking taylor expansion of (* x x) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (* y y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 0.558 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (* (/ (* (+ x y) (- x y)) (hypot x y)) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x 0.559 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in x 0.559 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.559 * [taylor]: Taking taylor expansion of (+ x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (- x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.559 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.560 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.560 * [taylor]: Taking taylor expansion of (* x x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (* y y) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.561 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (* (/ (* (+ x y) (- x y)) (hypot x y)) (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x 0.562 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (hypot x y)) in x 0.562 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.562 * [taylor]: Taking taylor expansion of (+ x y) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (- x y) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.562 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.562 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.562 * [taylor]: Taking taylor expansion of (* x x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (* y y) in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.564 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of -1 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.570 * [taylor]: Taking taylor expansion of 2 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 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [approximate]: Taking taylor expansion of (* (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.578 * [taylor]: Taking taylor expansion of (* (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.578 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in y 0.578 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.578 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.579 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.579 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (* (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.586 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in x 0.586 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.587 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.587 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.587 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (* (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.595 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (hypot (/ 1 x) (/ 1 y))) in x 0.595 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.595 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.596 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.596 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.596 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of 1 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.613 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.614 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.614 * [taylor]: Taking taylor expansion of 2 in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [approximate]: Taking taylor expansion of (* -1 (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in (x y) around 0 0.626 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.626 * [taylor]: Taking taylor expansion of -1 in y 0.626 * [taylor]: Taking taylor expansion of (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.626 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in y 0.626 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.627 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.627 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.627 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.627 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.627 * [taylor]: Taking taylor expansion of -1 in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.627 * [taylor]: Taking taylor expansion of -1 in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.627 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.627 * [taylor]: Taking taylor expansion of -1 in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.628 * [taylor]: Taking taylor expansion of -1 in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.632 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.632 * [taylor]: Taking taylor expansion of x in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [taylor]: Taking taylor expansion of (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.635 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in x 0.635 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.636 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.636 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.636 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.646 * [taylor]: Taking taylor expansion of (* -1 (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.646 * [taylor]: Taking taylor expansion of -1 in x 0.646 * [taylor]: Taking taylor expansion of (* (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.646 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (hypot (/ -1 x) (/ -1 y))) in x 0.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.647 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.647 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.647 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.648 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.648 * [taylor]: Taking taylor expansion of -1 in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.648 * [taylor]: Taking taylor expansion of -1 in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of 1 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.667 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.667 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.667 * [taylor]: Taking taylor expansion of 2 in y 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.680 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.680 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.680 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [taylor]: Taking taylor expansion of 1 in y 0.683 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.685 * [taylor]: Taking taylor expansion of x in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of 1 in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.696 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.696 * [taylor]: Taking taylor expansion of x in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.698 * [taylor]: Taking taylor expansion of y in x 0.698 * [taylor]: Taking taylor expansion of 1 in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.706 * * * [progress]: simplifying candidates 0.708 * [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 y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (- (log (- x y)) (log (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- (- x y)) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) (/ 1 1) (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) (/ 1 1) (/ (- x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (/ (- x y) 1) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (- x y)) (* (hypot x y) (+ (* x x) (+ (* y y) (* x y)))) (* (hypot x y) (+ x y)) (expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (log1p (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (+ (- (log (- x y)) (log (hypot x y))) (- (log (+ x y)) (log (sqrt (+ (* x x) (* y y)))))) (+ (- (log (- x y)) (log (hypot x y))) (log (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (+ (log (/ (- x y) (hypot x y))) (- (log (+ x y)) (log (sqrt (+ (* x x) (* y y)))))) (+ (log (/ (- x y) (hypot x y))) (log (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (exp (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))) (* (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (* (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))))) (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (* (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (sqrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (sqrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (- x y) (+ x y)) (* (hypot x y) (sqrt (+ (* x x) (* y y)))) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (* (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))))) (* (/ (- x y) (hypot x y)) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 1))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (sqrt 1))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) 1)) (* (/ (- x y) (hypot x y)) (/ 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt 1))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ 1 1)) (* (/ (- x y) (hypot x y)) (/ 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt 1))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (hypot x y)) (/ 1 1)) (* (/ (- x y) (hypot x y)) 1) (* (/ (- x y) (hypot x y)) (+ x y)) (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (cbrt (/ (- x y) (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (sqrt (/ (- x y) (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (cbrt (- x y)) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (cbrt (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (cbrt (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (hypot x y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ 1 (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (hypot x y)) (+ x y)) (* (- x y) (/ (+ x y) (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) -1 1 -1 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.717 * * [simplify]: iteration 0 : 632 enodes (cost 1336 ) 0.729 * * [simplify]: iteration 1 : 2903 enodes (cost 1130 ) 0.773 * * [simplify]: iteration 2 : 5001 enodes (cost 1110 ) 0.779 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (hypot x y)) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (hypot x y)) (sqrt (hypot x 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 (hypot x y)) (sqrt (hypot x y)) (expm1 (/ (- x y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- (- x y)) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (- x y)) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) 1 (/ (- x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (- x y) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (- x y)) (* (fma x x (fma y y (* x y))) (hypot x y)) (* (hypot x y) (+ x y)) (expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (log1p (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (/ (* (- x y) (+ x y)) (fma x x (* y y))) (- (log (* (/ (- x y) (hypot x y)) (+ x y))) (log (hypot x y))) (- (log (* (/ (- x y) (hypot x y)) (+ x y))) (log (hypot x y))) (- (log (* (/ (- x y) (hypot x y)) (+ x y))) (log (hypot x y))) (- (log (* (/ (- x y) (hypot x y)) (+ x y))) (log (hypot x y))) (- (log (* (/ (- x y) (hypot x y)) (+ x y))) (log (hypot x y))) (pow (exp 1) (/ (* (- x y) (+ x y)) (fma x x (* y y)))) (pow (/ (* (- x y) (+ x y)) (fma x x (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (fma x x (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (fma x x (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (fma x x (* y y))) 3) (* (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y))))))) (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (pow (/ (* (- x y) (+ x y)) (fma x x (* y y))) 3) (sqrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (sqrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (- x y) (+ x y)) (fma x x (* y y)) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (/ (* (sqrt (/ (- x y) (hypot x y))) (sqrt (+ x y))) (sqrt (hypot x y))) (/ (* (sqrt (/ (- x y) (hypot x y))) (sqrt (+ x y))) (sqrt (hypot x y))) (/ (* (sqrt (/ (- x y) (hypot x y))) (sqrt (+ x y))) (sqrt (hypot x y))) (/ (* (sqrt (/ (- x y) (hypot x y))) (sqrt (+ x y))) (sqrt (hypot x y))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (/ (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (+ x y))) (sqrt (hypot x y))) (/ (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (+ x y))) (sqrt (hypot x y))) (/ (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (+ x y))) (sqrt (hypot x y))) (/ (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (+ x y))) (sqrt (hypot x y))) (* (/ (- x y) (hypot x y)) (* (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))))) (* (/ (- x y) (hypot x y)) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (/ (- x y) (hypot x y)) (cbrt (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt (hypot x y)))) (/ (* (/ (- x y) (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (fabs (cbrt (+ (* x x) (* y y))))) (/ (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (hypot x y)) (sqrt (hypot x y))) (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (hypot x y)) (/ (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (hypot x y)) (sqrt (hypot x y))) (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (hypot x y)) (* (/ (/ (- x y) (hypot x y)) (cbrt (hypot x y))) (/ (sqrt (+ x y)) (cbrt (hypot x y)))) (/ (* (/ (- x y) (hypot x y)) (sqrt (+ x y))) (fabs (cbrt (+ (* x x) (* y y))))) (/ (/ (* (- x y) (sqrt (+ x y))) (hypot x y)) (sqrt (hypot x y))) (/ (* (- x y) (sqrt (+ x y))) (hypot x y)) (/ (/ (* (- x y) (sqrt (+ x y))) (hypot x y)) (sqrt (hypot x y))) (/ (* (- x y) (sqrt (+ x y))) (hypot x y)) (/ (/ (- x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (- x y) (hypot x y)) (fabs (cbrt (+ (* x x) (* y y))))) (/ (/ (- x y) (hypot x y)) (sqrt (hypot x y))) (/ (- x y) (hypot x y)) (/ (/ (- x y) (hypot x y)) (sqrt (hypot x y))) (/ (- x y) (hypot x y)) (/ (/ (- x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (- x y) (hypot x y)) (fabs (cbrt (+ (* x x) (* y y))))) (/ (/ (- x y) (hypot x y)) (sqrt (hypot x y))) (/ (- x y) (hypot x y)) (/ (/ (- x y) (hypot x y)) (sqrt (hypot x y))) (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y)) (* (/ (- x y) (hypot x y)) (+ x y)) (/ (/ (- x y) (hypot x y)) (/ (hypot (pow y 3) (pow x 3)) (+ x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (/ (* (cbrt (/ (- x y) (hypot x y))) (+ x y)) (hypot x y)) (/ (* (sqrt (/ (- x y) (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (cbrt (- x y)) (cbrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (cbrt (- x y)) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (cbrt (- x y)) (hypot x y)) (+ x y)) (hypot x y)) (/ (* (/ (sqrt (- x y)) (cbrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (sqrt (- x y)) (hypot x y)) (+ x y)) (hypot x y)) (/ (* (/ (- x y) (cbrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (- x y) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (- x y) (+ x y)) (fma x x (* y y))) (/ (* (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (- (sqrt x) (sqrt y)) (hypot x y)) (+ x y)) (hypot x y)) (/ (* (/ (- x y) (cbrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (/ (- x y) (sqrt (hypot x y))) (+ x y)) (hypot x y)) (/ (* (- x y) (+ x y)) (fma x x (* y y))) (/ (* (- x y) (+ x y)) (fma x x (* y y))) (/ (* (/ 1 (hypot x y)) (+ x y)) (hypot x y)) (* (/ (- x y) (hypot x y)) (+ x y)) (* (/ (- x y) (hypot x y)) (+ x 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 (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (* (- x y) (+ x y)) y x (* -1 x) -1 1 -1 -1 1 1 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.783 * * * [progress]: adding candidates to table 1.075 * * [progress]: iteration 4 / 4 1.075 * * * [progress]: picking best candidate 1.079 * * * * [pick]: Picked # 1.079 * * * [progress]: localizing error 1.086 * * * [progress]: generating rewritten candidates 1.086 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.092 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.110 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.116 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.121 * * * [progress]: generating series expansions 1.121 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.121 * [approximate]: Taking taylor expansion of (/ (- x y) (hypot x y)) in (x y) around 0 1.121 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in y 1.121 * [taylor]: Taking taylor expansion of (- x y) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.121 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.121 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.121 * [taylor]: Taking taylor expansion of (* x x) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [taylor]: Taking taylor expansion of (* y y) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.123 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.123 * [taylor]: Taking taylor expansion of (- x y) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.123 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.123 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.123 * [taylor]: Taking taylor expansion of (* x x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (* y y) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.125 * [taylor]: Taking taylor expansion of (/ (- x y) (hypot x y)) in x 1.125 * [taylor]: Taking taylor expansion of (- x y) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of y in x 1.125 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.125 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.125 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.125 * [taylor]: Taking taylor expansion of (* x x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (* y y) in x 1.125 * [taylor]: Taking taylor expansion of y in x 1.125 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of -1 in y 1.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.129 * [taylor]: Taking taylor expansion of 1/2 in y 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.135 * [taylor]: Taking taylor expansion of 1/2 in y 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.135 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.141 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.141 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.141 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) 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) in y 1.141 * [taylor]: Taking taylor expansion of y in y 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 1.141 * [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 (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.145 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.146 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.146 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.146 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 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 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 1.149 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.149 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.150 * [taylor]: Taking taylor expansion of y in x 1.150 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.150 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.150 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.150 * [taylor]: Taking taylor expansion of y in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.150 * [taylor]: Taking taylor expansion of y in x 1.153 * [taylor]: Taking taylor expansion of 1 in y 1.154 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.154 * [taylor]: Taking taylor expansion of y in y 1.159 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.160 * [taylor]: Taking taylor expansion of 1/2 in y 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.160 * [taylor]: Taking taylor expansion of y in y 1.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.168 * [taylor]: Taking taylor expansion of 1/2 in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.168 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.177 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 1.177 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.177 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.178 * [taylor]: Taking taylor expansion of x in y 1.178 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.178 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.178 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.178 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.178 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.178 * [taylor]: Taking taylor expansion of -1 in y 1.178 * [taylor]: Taking taylor expansion of x in y 1.178 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.178 * [taylor]: Taking taylor expansion of -1 in y 1.178 * [taylor]: Taking taylor expansion of x in y 1.178 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.178 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.178 * [taylor]: Taking taylor expansion of -1 in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.179 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.179 * [taylor]: Taking taylor expansion of -1 in y 1.179 * [taylor]: Taking taylor expansion of y in y 1.182 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.182 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.182 * [taylor]: Taking taylor expansion of y in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.183 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.183 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.183 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of y in x 1.183 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of y in x 1.187 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.187 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.187 * [taylor]: Taking taylor expansion of y in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.187 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.187 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.187 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.187 * [taylor]: Taking taylor expansion of -1 in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [taylor]: Taking taylor expansion of y in x 1.188 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.188 * [taylor]: Taking taylor expansion of -1 in x 1.188 * [taylor]: Taking taylor expansion of y in x 1.192 * [taylor]: Taking taylor expansion of -1 in y 1.193 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.193 * [taylor]: Taking taylor expansion of y in y 1.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.198 * [taylor]: Taking taylor expansion of 1/2 in y 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.198 * [taylor]: Taking taylor expansion of y in y 1.206 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.206 * [taylor]: Taking taylor expansion of 1/2 in y 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.206 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.212 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.212 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 1.212 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 1.212 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.212 * [taylor]: Taking taylor expansion of (+ x y) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of (- x y) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.212 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.212 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.212 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.212 * [taylor]: Taking taylor expansion of (* x x) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [taylor]: Taking taylor expansion of (* y y) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.214 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.214 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.214 * [taylor]: Taking taylor expansion of (+ x y) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of y in x 1.214 * [taylor]: Taking taylor expansion of (- x y) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of y in x 1.214 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.214 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.214 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.214 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.214 * [taylor]: Taking taylor expansion of (* x x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (* y y) in x 1.214 * [taylor]: Taking taylor expansion of y in x 1.214 * [taylor]: Taking taylor expansion of y in x 1.216 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.216 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.216 * [taylor]: Taking taylor expansion of (+ x y) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of y in x 1.216 * [taylor]: Taking taylor expansion of (- x y) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of y in x 1.216 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.216 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.216 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.216 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.216 * [taylor]: Taking taylor expansion of (* x x) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (* y y) in x 1.216 * [taylor]: Taking taylor expansion of y in x 1.216 * [taylor]: Taking taylor expansion of y in x 1.217 * [taylor]: Taking taylor expansion of -1 in y 1.218 * [taylor]: Taking taylor expansion of 0 in y 1.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.221 * [taylor]: Taking taylor expansion of 2 in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.227 * [taylor]: Taking taylor expansion of 0 in y 1.228 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 1.228 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.228 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.228 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.228 * [taylor]: Taking taylor expansion of x in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.229 * [taylor]: Taking taylor expansion of x in y 1.229 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.229 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.229 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.229 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.229 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.229 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.229 * [taylor]: Taking taylor expansion of x in y 1.229 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.229 * [taylor]: Taking taylor expansion of x in y 1.229 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.229 * [taylor]: Taking taylor expansion of y in y 1.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.229 * [taylor]: Taking taylor expansion of y in y 1.233 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.233 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.234 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.234 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.234 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.234 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.234 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.235 * [taylor]: Taking taylor expansion of y in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.235 * [taylor]: Taking taylor expansion of y in x 1.239 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.239 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.239 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.240 * [taylor]: Taking taylor expansion of y in x 1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.240 * [taylor]: Taking taylor expansion of y in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.240 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.240 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.240 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.240 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.241 * [taylor]: Taking taylor expansion of y in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.241 * [taylor]: Taking taylor expansion of y in x 1.245 * [taylor]: Taking taylor expansion of 1 in y 1.247 * [taylor]: Taking taylor expansion of 0 in y 1.253 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.253 * [taylor]: Taking taylor expansion of 2 in y 1.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.253 * [taylor]: Taking taylor expansion of y in y 1.265 * [taylor]: Taking taylor expansion of 0 in y 1.266 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 1.266 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.266 * [taylor]: Taking taylor expansion of -1 in y 1.266 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.266 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.266 * [taylor]: Taking taylor expansion of y in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.266 * [taylor]: Taking taylor expansion of x in y 1.266 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.266 * [taylor]: Taking taylor expansion of y in y 1.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.267 * [taylor]: Taking taylor expansion of x in y 1.267 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.267 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.267 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.267 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.267 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.267 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.267 * [taylor]: Taking taylor expansion of -1 in y 1.267 * [taylor]: Taking taylor expansion of x in y 1.267 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.267 * [taylor]: Taking taylor expansion of -1 in y 1.267 * [taylor]: Taking taylor expansion of x in y 1.267 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.267 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.267 * [taylor]: Taking taylor expansion of -1 in y 1.267 * [taylor]: Taking taylor expansion of y in y 1.268 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.268 * [taylor]: Taking taylor expansion of -1 in y 1.268 * [taylor]: Taking taylor expansion of y in y 1.272 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.272 * [taylor]: Taking taylor expansion of -1 in x 1.272 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.272 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.272 * [taylor]: Taking taylor expansion of y in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.272 * [taylor]: Taking taylor expansion of y in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.273 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.273 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.273 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.273 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.273 * [taylor]: Taking taylor expansion of -1 in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.273 * [taylor]: Taking taylor expansion of -1 in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.273 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.274 * [taylor]: Taking taylor expansion of -1 in x 1.274 * [taylor]: Taking taylor expansion of y in x 1.274 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.274 * [taylor]: Taking taylor expansion of -1 in x 1.274 * [taylor]: Taking taylor expansion of y in x 1.278 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.278 * [taylor]: Taking taylor expansion of -1 in x 1.278 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.278 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.278 * [taylor]: Taking taylor expansion of y in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.278 * [taylor]: Taking taylor expansion of y in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.279 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.279 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.279 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.279 * [taylor]: Taking taylor expansion of -1 in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.279 * [taylor]: Taking taylor expansion of -1 in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.280 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.280 * [taylor]: Taking taylor expansion of -1 in x 1.280 * [taylor]: Taking taylor expansion of y in x 1.280 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.280 * [taylor]: Taking taylor expansion of -1 in x 1.280 * [taylor]: Taking taylor expansion of y in x 1.284 * [taylor]: Taking taylor expansion of 1 in y 1.287 * [taylor]: Taking taylor expansion of 0 in y 1.293 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.293 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.294 * [taylor]: Taking taylor expansion of 2 in y 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.294 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of 0 in y 1.304 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.304 * [approximate]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in (x y) around 0 1.304 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 1.304 * [taylor]: Taking taylor expansion of (+ x y) in y 1.304 * [taylor]: Taking taylor expansion of x in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.304 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.304 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.304 * [taylor]: Taking taylor expansion of (* x x) in y 1.304 * [taylor]: Taking taylor expansion of x in y 1.304 * [taylor]: Taking taylor expansion of x in y 1.304 * [taylor]: Taking taylor expansion of (* y y) in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.306 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.306 * [taylor]: Taking taylor expansion of (+ x y) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of y in x 1.306 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.306 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.306 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.306 * [taylor]: Taking taylor expansion of (* x x) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (* y y) in x 1.306 * [taylor]: Taking taylor expansion of y in x 1.306 * [taylor]: Taking taylor expansion of y in x 1.307 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 1.307 * [taylor]: Taking taylor expansion of (+ x y) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of y in x 1.307 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.307 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.307 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.307 * [taylor]: Taking taylor expansion of (* x x) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (* y y) in x 1.307 * [taylor]: Taking taylor expansion of y in x 1.307 * [taylor]: Taking taylor expansion of y in x 1.308 * [taylor]: Taking taylor expansion of 1 in y 1.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.309 * [taylor]: Taking taylor expansion of y in y 1.311 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.311 * [taylor]: Taking taylor expansion of 1/2 in y 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.311 * [taylor]: Taking taylor expansion of y in y 1.317 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.317 * [taylor]: Taking taylor expansion of 1/2 in y 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.317 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.317 * [taylor]: Taking taylor expansion of y in y 1.323 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.323 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.323 * [taylor]: Taking taylor expansion of y in y 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.323 * [taylor]: Taking taylor expansion of x in y 1.323 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.323 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.323 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.323 * [taylor]: Taking taylor expansion of x in y 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.323 * [taylor]: Taking taylor expansion of x in y 1.323 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.323 * [taylor]: Taking taylor expansion of y in y 1.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.324 * [taylor]: Taking taylor expansion of y in y 1.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.327 * [taylor]: Taking taylor expansion of y in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.328 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.328 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.328 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.328 * [taylor]: Taking taylor expansion of y in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.328 * [taylor]: Taking taylor expansion of y in x 1.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 1.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.331 * [taylor]: Taking taylor expansion of y in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.332 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.332 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.332 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.332 * [taylor]: Taking taylor expansion of y in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.333 * [taylor]: Taking taylor expansion of y in x 1.336 * [taylor]: Taking taylor expansion of 1 in y 1.337 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.342 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.342 * [taylor]: Taking taylor expansion of 1/2 in y 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.342 * [taylor]: Taking taylor expansion of y in y 1.352 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.352 * [taylor]: Taking taylor expansion of 1/2 in y 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.352 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.352 * [taylor]: Taking taylor expansion of y in y 1.358 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 1.358 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 1.358 * [taylor]: Taking taylor expansion of -1 in y 1.358 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.358 * [taylor]: Taking taylor expansion of y in y 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.358 * [taylor]: Taking taylor expansion of x in y 1.358 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.358 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.358 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.358 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.358 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.358 * [taylor]: Taking taylor expansion of -1 in y 1.358 * [taylor]: Taking taylor expansion of x in y 1.359 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.359 * [taylor]: Taking taylor expansion of -1 in y 1.359 * [taylor]: Taking taylor expansion of x in y 1.359 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.359 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.359 * [taylor]: Taking taylor expansion of -1 in y 1.359 * [taylor]: Taking taylor expansion of y in y 1.359 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.359 * [taylor]: Taking taylor expansion of -1 in y 1.359 * [taylor]: Taking taylor expansion of y in y 1.362 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.362 * [taylor]: Taking taylor expansion of -1 in x 1.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.362 * [taylor]: Taking taylor expansion of y in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.363 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.363 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.363 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.363 * [taylor]: Taking taylor expansion of -1 in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.363 * [taylor]: Taking taylor expansion of -1 in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.364 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.364 * [taylor]: Taking taylor expansion of -1 in x 1.364 * [taylor]: Taking taylor expansion of y in x 1.364 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.364 * [taylor]: Taking taylor expansion of -1 in x 1.364 * [taylor]: Taking taylor expansion of y in x 1.367 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.367 * [taylor]: Taking taylor expansion of -1 in x 1.367 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.367 * [taylor]: Taking taylor expansion of y in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.367 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.367 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.367 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.367 * [taylor]: Taking taylor expansion of -1 in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.368 * [taylor]: Taking taylor expansion of -1 in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.368 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.368 * [taylor]: Taking taylor expansion of -1 in x 1.368 * [taylor]: Taking taylor expansion of y in x 1.368 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.368 * [taylor]: Taking taylor expansion of -1 in x 1.368 * [taylor]: Taking taylor expansion of y in x 1.372 * [taylor]: Taking taylor expansion of -1 in y 1.373 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.373 * [taylor]: Taking taylor expansion of y in y 1.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.378 * [taylor]: Taking taylor expansion of 1/2 in y 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.378 * [taylor]: Taking taylor expansion of y in y 1.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.387 * [taylor]: Taking taylor expansion of 1/2 in y 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.387 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.387 * [taylor]: Taking taylor expansion of y in y 1.392 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.392 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 1.392 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.392 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.392 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.392 * [taylor]: Taking taylor expansion of (* x x) in y 1.392 * [taylor]: Taking taylor expansion of x in y 1.392 * [taylor]: Taking taylor expansion of x in y 1.392 * [taylor]: Taking taylor expansion of (* y y) in y 1.392 * [taylor]: Taking taylor expansion of y in y 1.393 * [taylor]: Taking taylor expansion of y in y 1.394 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.394 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.394 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.394 * [taylor]: Taking taylor expansion of (* x x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of (* y y) in x 1.394 * [taylor]: Taking taylor expansion of y in x 1.394 * [taylor]: Taking taylor expansion of y in x 1.395 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.395 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.395 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.395 * [taylor]: Taking taylor expansion of (* x x) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (* y y) in x 1.395 * [taylor]: Taking taylor expansion of y in x 1.395 * [taylor]: Taking taylor expansion of y in x 1.396 * [taylor]: Taking taylor expansion of y in y 1.396 * [taylor]: Taking taylor expansion of 0 in y 1.398 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.398 * [taylor]: Taking taylor expansion of 1/2 in y 1.398 * [taylor]: Taking taylor expansion of y in y 1.400 * [taylor]: Taking taylor expansion of 0 in y 1.401 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 1.401 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.401 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.401 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.401 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.401 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.401 * [taylor]: Taking taylor expansion of x in y 1.401 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.401 * [taylor]: Taking taylor expansion of x in y 1.401 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.404 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.404 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.404 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.404 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.405 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.405 * [taylor]: Taking taylor expansion of y in x 1.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.405 * [taylor]: Taking taylor expansion of y in x 1.408 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.408 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.408 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.408 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.408 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.408 * [taylor]: Taking taylor expansion of y in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.409 * [taylor]: Taking taylor expansion of y in x 1.411 * [taylor]: Taking taylor expansion of 1 in y 1.411 * [taylor]: Taking taylor expansion of 0 in y 1.414 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.414 * [taylor]: Taking taylor expansion of 1/2 in y 1.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.414 * [taylor]: Taking taylor expansion of y in y 1.417 * [taylor]: Taking taylor expansion of 0 in y 1.419 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 1.419 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.419 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.419 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.419 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.419 * [taylor]: Taking taylor expansion of -1 in y 1.419 * [taylor]: Taking taylor expansion of x in y 1.419 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.419 * [taylor]: Taking taylor expansion of -1 in y 1.419 * [taylor]: Taking taylor expansion of x in y 1.419 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.419 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.419 * [taylor]: Taking taylor expansion of -1 in y 1.419 * [taylor]: Taking taylor expansion of y in y 1.419 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.419 * [taylor]: Taking taylor expansion of -1 in y 1.419 * [taylor]: Taking taylor expansion of y in y 1.422 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.423 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.423 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.423 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.423 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.423 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.423 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.423 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of y in x 1.423 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.423 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of y in x 1.426 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.426 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.426 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.426 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.426 * [taylor]: Taking taylor expansion of -1 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.427 * [taylor]: Taking taylor expansion of -1 in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.427 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.427 * [taylor]: Taking taylor expansion of -1 in x 1.427 * [taylor]: Taking taylor expansion of y in x 1.427 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.427 * [taylor]: Taking taylor expansion of -1 in x 1.427 * [taylor]: Taking taylor expansion of y in x 1.430 * [taylor]: Taking taylor expansion of 1 in y 1.430 * [taylor]: Taking taylor expansion of 0 in y 1.435 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.436 * [taylor]: Taking taylor expansion of 1/2 in y 1.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.436 * [taylor]: Taking taylor expansion of y in y 1.440 * [taylor]: Taking taylor expansion of 0 in y 1.441 * * * [progress]: simplifying candidates 1.443 * [simplify]: Simplifying using # : (expm1 (/ (- x y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (- (log (- x y)) (log (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (* (* (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y))) (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- (- x y)) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (hypot x y))) (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (- x y) (sqrt (hypot x y))) (/ 1 1) (/ (- x y) (hypot x y)) (/ (+ (sqrt x) (sqrt 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(* (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))))) (cbrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (* (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (sqrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (sqrt (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (sqrt (/ (- x y) (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y))))) (* (/ (- x y) (hypot x y)) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) 1)) (* (/ (- x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ 1 1)) (* (/ (- x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ 1 (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ 1 1)) (* (/ (- x y) (hypot x y)) 1) (* (/ (- x y) (hypot x y)) (+ x y)) (* (cbrt (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (sqrt (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (cbrt (- x y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (sqrt (- x y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- (sqrt x) (sqrt y)) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (cbrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ 1 (hypot x y)) (/ (+ x y) (hypot x y))) (* (/ (- x y) (hypot x y)) (+ x y)) (* (- x y) (/ (+ x y) (hypot x y))) (expm1 (/ (+ x y) (hypot x y))) (log1p (/ (+ x y) (hypot x y))) (- (log (+ x y)) (log (hypot x y))) (log (/ (+ x y) (hypot x y))) (exp (/ (+ x y) (hypot x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y)))) (cbrt (/ (+ x y) (hypot x y))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y))) (sqrt (/ (+ x y) (hypot x y))) (- (+ x y)) (- (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (cbrt (+ x y)) (cbrt (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y))) (/ (cbrt (+ x y)) (sqrt (hypot x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (hypot x y)) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (sqrt (+ x y)) (cbrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ 1 1) (/ (+ x y) (hypot x y)) (/ 1 (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (cbrt (hypot x y))) (/ 1 (sqrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ 1 1) (/ (+ x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (+ x y)) (/ (+ x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (+ x y) (sqrt (hypot x y))) (/ (+ x y) 1) (/ (hypot x y) (cbrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y)) (* (hypot x y) (+ (* x x) (- (* y y) (* x y)))) (* (hypot x y) (- 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)) -1 1 -1 -1 1 1 1 1 -1 y x (* -1 x) 1.450 * * [simplify]: iteration 0 : 491 enodes (cost 1105 ) 1.460 * * [simplify]: iteration 1 : 2109 enodes (cost 999 ) 1.492 * * [simplify]: iteration 2 : 5003 enodes (cost 997 ) 1.498 * [simplify]: Simplified to: (expm1 (/ (- x y) (hypot x y))) (log1p (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (log (/ (- x y) (hypot x y))) (exp (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (* (cbrt (/ (- x y) (hypot x y))) (cbrt (/ (- x y) (hypot x y)))) (cbrt (/ (- x y) (hypot x y))) (pow (/ (- x y) (hypot x y)) 3) (sqrt (/ (- x y) (hypot x y))) (sqrt (/ (- x y) (hypot x y))) (- y x) (- (hypot x y)) (/ x (hypot x y)) (/ y (hypot x y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (hypot x y)) (cbrt 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x y) (hypot x y)) (/ 1 (hypot x y)) (/ (hypot x y) (- x y)) (/ (- x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (- x y) (sqrt (hypot x y))) (- x y) (/ (hypot x y) (cbrt (- x y))) (/ (hypot x y) (sqrt (- x y))) (/ (hypot x y) (- x y)) (/ (hypot x y) (- (sqrt x) (sqrt y))) (/ (hypot x y) (- x y)) (* (fma x x (fma y y (* x y))) (hypot x y)) (* (hypot x y) (+ x y)) (expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log1p (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (log (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (exp (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))) (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3) (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x 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(/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (sqrt (- x y)) (sqrt (hypot x y))) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (* (/ (- x y) (hypot x y)) (* (cbrt (/ (+ x y) (hypot x y))) (cbrt (/ (+ x y) (hypot x y))))) (* (/ (- x y) (hypot x y)) (sqrt (/ (+ x y) (hypot x y)))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (hypot x y)))) (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (hypot x y)) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (/ (- x y) (hypot x y)) (/ (sqrt (+ x y)) (sqrt (hypot x y)))) (/ (* (- x y) (sqrt (+ x y))) (hypot x y)) (/ (/ (- x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (- x y) (hypot x y)) (sqrt (hypot x y))) (/ (- x y) (hypot x y)) (/ (/ (- x y) (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (/ (/ (- x y) (hypot x y)) (sqrt (hypot x y))) (/ (- x y) (hypot 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(sqrt (hypot x y)) (sqrt (hypot x y)) -1 1 -1 -1 1 1 1 1 -1 y x (* -1 x) 1.498 * * * [progress]: adding candidates to table 1.740 * [progress]: [Phase 3 of 3] Extracting. 1.740 * * [regime]: Finding splitpoints for: (# #) 1.741 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.741 * * * * [regimes]: Trying to branch on y from (# #) 1.753 * * * * [regimes]: Trying to branch on x from (# #) 1.764 * * * [regime]: Found split indices: #