4.830 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.027 * * [simplify]: iteration 0 : 23 enodes (cost 6 ) 0.029 * * [simplify]: iteration 1 : 52 enodes (cost 6 ) 0.031 * * [simplify]: iteration 2 : 117 enodes (cost 6 ) 0.034 * * [simplify]: iteration 3 : 240 enodes (cost 6 ) 0.038 * * [simplify]: iteration 4 : 478 enodes (cost 6 ) 0.044 * * [simplify]: iteration 5 : 947 enodes (cost 6 ) 0.056 * * [simplify]: iteration 6 : 1844 enodes (cost 6 ) 0.093 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.094 * [simplify]: Simplified to: (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.113 * * * [progress]: generating rewritten candidates 0.113 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.126 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.126 * [taylor]: Taking taylor expansion of (+ x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (- x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.127 * [taylor]: Taking taylor expansion of (+ x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (- x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.127 * [taylor]: Taking taylor expansion of (+ x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (- x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of -1 in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of 2 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [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 0.137 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.137 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.143 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.152 * [taylor]: Taking taylor expansion of 2 in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [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 0.161 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.161 * [taylor]: Taking taylor expansion of -1 in y 0.161 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.161 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.163 * [taylor]: Taking taylor expansion of -1 in x 0.163 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.163 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 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 0.164 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.166 * [taylor]: Taking taylor expansion of -1 in x 0.166 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.166 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.177 * [taylor]: Taking taylor expansion of 2 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * * * [progress]: simplifying candidates 0.186 * [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)) -1 1 1 0.196 * * [simplify]: iteration 0 : 279 enodes (cost 306 ) 0.202 * * [simplify]: iteration 1 : 1480 enodes (cost 261 ) 0.228 * * [simplify]: iteration 2 : 5001 enodes (cost 254 ) 0.230 * [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)))) (* (- y x) (+ 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) (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) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (* (/ (+ x y) (fma (pow x 3) x (* (- (pow y 3)) y))) (- x y)) (* (fma y (- y x) (* x x)) (* (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) (* x x)) (* (+ x y) (fma x x (* y y)))) (fma (pow x 3) x (* (- (pow y 3)) y)) (* (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))) -1 1 1 0.231 * * * [progress]: adding candidates to table 0.306 * * [progress]: iteration 2 / 4 0.307 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.312 * * * [progress]: generating rewritten candidates 0.312 * * * [progress]: generating series expansions 0.312 * * * [progress]: simplifying candidates 0.312 * [simplify]: Simplifying using # : 0.315 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.315 * [simplify]: Simplified to: 0.315 * * * [progress]: adding candidates to table 0.315 * * [progress]: iteration 3 / 4 0.315 * * * [progress]: picking best candidate 0.319 * * * * [pick]: Picked # 0.319 * * * [progress]: localizing error 0.328 * * * [progress]: generating rewritten candidates 0.328 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.333 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.353 * * * [progress]: generating series expansions 0.353 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.353 * [approximate]: Taking taylor expansion of (/ (fma x x (pow y 2)) (+ x y)) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (/ (fma x x (pow y 2)) (+ x y)) in y 0.353 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.354 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.354 * [taylor]: Taking taylor expansion of (* x x) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (+ x y) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (/ (fma x x (pow y 2)) (+ x y)) in x 0.354 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.354 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.354 * [taylor]: Taking taylor expansion of (* x x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (+ x y) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ (fma x x (pow y 2)) (+ x y)) in x 0.355 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.355 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.355 * [taylor]: Taking taylor expansion of (* x x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (+ x y) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (- 1) in y 0.357 * [taylor]: Taking taylor expansion of 1 in y 0.358 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.359 * [taylor]: Taking taylor expansion of 2 in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.362 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.362 * [taylor]: Taking taylor expansion of 2 in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.371 * [approximate]: Taking taylor expansion of (/ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.371 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.371 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.371 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.371 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.373 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.373 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.373 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.375 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.375 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.375 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 1 in y 0.380 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.383 * [taylor]: Taking taylor expansion of 2 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.389 * [taylor]: Taking taylor expansion of 2 in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.389 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.395 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 0.395 * [taylor]: Taking taylor expansion of -1 in y 0.395 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.395 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.396 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.396 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.396 * [taylor]: Taking taylor expansion of -1 in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.396 * [taylor]: Taking taylor expansion of -1 in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.397 * [taylor]: Taking taylor expansion of -1 in x 0.397 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.398 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.398 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.398 * [taylor]: Taking taylor expansion of -1 in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.398 * [taylor]: Taking taylor expansion of -1 in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.400 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.400 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.400 * [taylor]: Taking taylor expansion of -1 in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of -1 in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.408 * [taylor]: Taking taylor expansion of 2 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.415 * [taylor]: Taking taylor expansion of 2 in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.421 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.422 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (fma x x (pow y 2))) in (x y) around 0 0.422 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (fma x x (pow y 2))) in y 0.422 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.422 * [taylor]: Taking taylor expansion of (+ x y) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (- x y) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.422 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.422 * [taylor]: Taking taylor expansion of (* x x) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (fma x x (pow y 2))) in x 0.423 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.423 * [taylor]: Taking taylor expansion of (+ x y) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (- x y) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.423 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.423 * [taylor]: Taking taylor expansion of (* x x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (fma x x (pow y 2))) in x 0.423 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.424 * [taylor]: Taking taylor expansion of (+ x y) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of (- x y) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.424 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.424 * [taylor]: Taking taylor expansion of (* x x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of -1 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.428 * [taylor]: Taking taylor expansion of 2 in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in (x y) around 0 0.434 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 0.434 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.435 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.435 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.437 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.437 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.438 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.438 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [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 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.440 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.441 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.441 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of 1 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.450 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.450 * [taylor]: Taking taylor expansion of 2 in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in (x y) around 0 0.465 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y 0.465 * [taylor]: Taking taylor expansion of -1 in y 0.465 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 0.465 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.466 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.466 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.466 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.466 * [taylor]: Taking taylor expansion of -1 in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.466 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.466 * [taylor]: Taking taylor expansion of -1 in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x 0.468 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.468 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.468 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.468 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.468 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.469 * [taylor]: Taking taylor expansion of -1 in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x 0.471 * [taylor]: Taking taylor expansion of -1 in x 0.471 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.471 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.472 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.472 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of 1 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.483 * [taylor]: Taking taylor expansion of 2 in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.492 * * * [progress]: simplifying candidates 0.495 * [simplify]: Simplifying using # : (expm1 (/ (fma x x (* y y)) (+ x y))) (log1p (/ (fma x x (* y y)) (+ x y))) (- (log (fma x x (* y y))) (log (+ x y))) (log (/ (fma x x (* y y)) (+ x y))) (exp (/ (fma x x (* y y)) (+ x y))) (/ (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (fma x x (* y y)) (+ x y))) (cbrt (/ (fma x x (* y y)) (+ x y)))) (cbrt (/ (fma x x (* y y)) (+ x y))) (* (* (/ (fma x x (* y y)) (+ x y)) (/ (fma x x (* y y)) (+ x y))) (/ (fma x x (* y y)) (+ x y))) (sqrt (/ (fma x x (* y y)) (+ x y))) (sqrt (/ (fma x x (* y y)) (+ x y))) (- (fma x x (* y y))) (- (+ x y)) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (fma x x (* y y))) (cbrt (+ x y))) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (sqrt (+ x y))) (/ (cbrt (fma x x (* y y))) (sqrt (+ x 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(/ (- (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (sqrt (+ x y)))) (/ (+ (sqrt x) (sqrt y)) (/ 1 1)) (/ (- (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ x y))) (/ (+ (sqrt x) (sqrt y)) (/ 1 1)) (/ (- (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ x y))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ x y))) (/ (+ (sqrt x) (sqrt y)) (fma x x (* y y))) (/ (- (sqrt x) (sqrt y)) (/ 1 (+ x y))) (/ (+ (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ (pow x 3) (pow y 3)))) (/ (- (sqrt x) (sqrt y)) (+ (* x x) (- (* y y) (* x y)))) (/ (+ (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (- (* x x) (* y y)))) (/ (- (sqrt x) (sqrt y)) (- x y)) (/ 1 (* (cbrt (/ (fma x x (* y y)) (+ x y))) (cbrt (/ (fma x x (* y y)) (+ x y))))) (/ (- x y) (cbrt (/ (fma x x (* y y)) (+ x y)))) (/ 1 (sqrt (/ (fma x x (* y y)) (+ x y)))) (/ (- x y) (sqrt (/ (fma x x (* y y)) (+ x y)))) (/ 1 (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (- x y) (/ (cbrt (fma x x (* y y))) (cbrt (+ x y)))) (/ 1 (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (sqrt (+ x y)))) (/ (- x y) (/ (cbrt (fma x x (* y y))) (sqrt (+ x y)))) (/ 1 (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) 1)) (/ (- x y) (/ (cbrt (fma x x (* y y))) (+ x y))) (/ 1 (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) 1)) (/ (- x y) (/ (cbrt (fma x x (* y y))) (+ x y))) (/ 1 (/ (sqrt (fma x x (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (- x y) (/ (sqrt (fma x x (* y y))) (cbrt (+ x y)))) (/ 1 (/ (sqrt (fma x x (* y y))) (sqrt (+ x y)))) (/ (- x y) (/ (sqrt (fma x x (* y y))) (sqrt (+ x y)))) (/ 1 (/ (sqrt (fma x x (* y y))) 1)) (/ (- x y) (/ (sqrt (fma x x (* y y))) (+ x y))) (/ 1 (/ (sqrt (fma x x (* y y))) 1)) (/ (- x y) (/ (sqrt (fma x x (* y y))) (+ x y))) (/ 1 (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (- x y) (/ (fma x x (* y y)) (cbrt (+ x y)))) (/ 1 (/ 1 (sqrt (+ x y)))) (/ (- x y) (/ (fma x x (* y y)) (sqrt (+ x y)))) (/ 1 (/ 1 1)) (/ (- x y) (/ (fma x x (* y y)) (+ x y))) (/ 1 (/ 1 1)) (/ (- x y) (/ (fma x x (* y y)) (+ x y))) (/ 1 1) (/ (- x y) (/ (fma x x (* y y)) (+ x y))) (/ 1 (fma x x (* y y))) (/ (- x y) (/ 1 (+ x y))) (/ 1 (/ (fma x x (* y y)) (+ (pow x 3) (pow y 3)))) (/ (- x y) (+ (* x x) (- (* y y) (* x y)))) (/ 1 (/ (fma x x (* y y)) (- (* x x) (* y y)))) (/ (- x y) (- x y)) (/ 1 (/ (fma x x (* y y)) (+ x y))) (/ (/ (fma x x (* y y)) (+ x y)) (- x y)) (/ (- x y) (* (cbrt (/ (fma x x (* y y)) (+ x y))) (cbrt (/ (fma x x (* y y)) (+ x y))))) (/ (- x y) (sqrt (/ (fma x x (* y y)) (+ x y)))) (/ (- x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (- x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (sqrt (+ x y)))) (/ (- x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) 1)) (/ (- x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) 1)) (/ (- x y) (/ (sqrt (fma x x (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (- x y) (/ (sqrt (fma x x (* y y))) (sqrt (+ x y)))) (/ (- x y) (/ (sqrt (fma x x (* y y))) 1)) (/ (- x y) (/ (sqrt (fma x x (* y y))) 1)) (/ (- x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (- x y) (/ 1 (sqrt (+ x y)))) (/ (- x y) (/ 1 1)) (/ (- x y) (/ 1 1)) (/ (- x y) 1) (/ (- x y) (fma x x (* y y))) (/ (- x y) (/ (fma x x (* y y)) (+ (pow x 3) (pow y 3)))) (/ (- x y) (/ (fma x x (* y y)) (- (* x x) (* y y)))) (/ (/ (fma x x (* y y)) (+ x y)) (cbrt (- x y))) (/ (/ (fma x x (* y y)) (+ x y)) (sqrt (- x y))) (/ (/ (fma x x (* y y)) (+ x y)) (- x y)) (/ (/ (fma x x (* y y)) (+ x y)) (- (sqrt x) (sqrt y))) (/ (/ (fma x x (* y y)) (+ x y)) (- x y)) (/ (- x y) (fma x x (* y y))) (* (/ (fma x x (* y y)) (+ x y)) (+ (* x x) (+ (* y y) (* x y)))) (* (/ (fma x x (* y y)) (+ x y)) (+ x y)) (- y x) (- x y) (- x y) -1 1 1 0.506 * * [simplify]: iteration 0 : 640 enodes (cost 2000 ) 0.518 * * [simplify]: iteration 1 : 2737 enodes (cost 1832 ) 0.562 * * [simplify]: iteration 2 : 5001 enodes (cost 1825 ) 0.572 * [simplify]: Simplified to: (expm1 (/ (fma x x (* y y)) (+ x y))) (log1p (/ (fma x x (* y y)) (+ x y))) (log (/ (fma x x (* y y)) (+ x y))) (log (/ (fma x x (* y y)) (+ x y))) (exp (/ (fma x x (* y y)) (+ x y))) (pow (/ (fma x x (* y y)) (+ x y)) 3) (* (cbrt (/ (fma x x (* y y)) (+ x y))) (cbrt (/ (fma x x (* y y)) (+ x y)))) (cbrt (/ (fma x x (* y y)) (+ x y))) (pow (/ (fma x x (* y y)) (+ x y)) 3) (sqrt (/ (fma x x (* y y)) (+ x y))) (sqrt (/ (fma x x (* y y)) (+ x y))) (- (fma x x (* y y))) (- (+ x y)) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (fma x x (* y y))) (cbrt (+ x y))) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (sqrt (+ x y))) (/ (cbrt (fma x x (* y y))) (sqrt (+ x y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (/ (cbrt (fma x x (* y y))) (+ x y)) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (/ (cbrt (fma x x (* y y))) (+ x y)) (/ (/ (hypot x y) (cbrt (+ x y))) (cbrt (+ x y))) (/ (hypot x y) 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x y) (/ (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (sqrt (+ x y)))) (/ (- x y) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))) (/ (- x y) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))) (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (hypot x y)) (/ (* (- x y) (sqrt (+ x y))) (hypot x y)) (/ (- x y) (hypot x y)) (/ (- x y) (hypot x y)) (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- x y) (sqrt (+ x y))) (- x y) (- x y) (- x y) (/ (- x y) (fma x x (* y y))) (/ (- x y) (/ (fma x x (* y y)) (+ (pow x 3) (pow y 3)))) (/ (- x y) (/ (fma x x (* y y)) (- (* x x) (* y y)))) (/ (/ (fma x x (* y y)) (+ x y)) (cbrt (- x y))) (/ (/ (fma x x (* y y)) (+ x y)) (sqrt (- x y))) (/ (/ (fma x x (* y y)) (+ x y)) (- x y)) (/ (/ (fma x x (* y y)) (+ x y)) (- (sqrt x) (sqrt y))) (/ (/ (fma x x (* y y)) (+ x y)) (- x y)) (/ (- x y) (fma x x (* y y))) (/ (* (fma x x (* y y)) (fma x x (fma y y (* x y)))) (+ x y)) (* (/ (fma x x (* y y)) (+ x y)) (+ x y)) (- y x) (- x y) (- x y) -1 1 1 0.574 * * * [progress]: adding candidates to table 0.857 * * [progress]: iteration 4 / 4 0.857 * * * [progress]: picking best candidate 0.866 * * * * [pick]: Picked # 0.866 * * * [progress]: localizing error 0.875 * * * [progress]: generating rewritten candidates 0.875 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.885 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.890 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.900 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.905 * * * [progress]: generating series expansions 0.905 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.905 * [approximate]: Taking taylor expansion of (/ (pow (hypot x y) 2) (+ x y)) in (x y) around 0 0.905 * [taylor]: Taking taylor expansion of (/ (pow (hypot x y) 2) (+ x y)) in y 0.905 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.905 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.905 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.905 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.905 * [taylor]: Taking taylor expansion of (* x x) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of (* y y) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of (+ x y) in y 0.907 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of (/ (pow (hypot x y) 2) (+ x y)) in x 0.907 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.907 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.907 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.907 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.907 * [taylor]: Taking taylor expansion of (* x x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (* y y) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (+ x y) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (/ (pow (hypot x y) 2) (+ x y)) in x 0.908 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.908 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.908 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.909 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.909 * [taylor]: Taking taylor expansion of (* x x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (* y y) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of (+ x y) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of (- 1) in y 0.910 * [taylor]: Taking taylor expansion of 1 in y 0.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.913 * [taylor]: Taking taylor expansion of 2 in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.916 * [taylor]: Taking taylor expansion of 2 in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.920 * [approximate]: Taking taylor expansion of (/ (pow (hypot (/ 1 x) (/ 1 y)) 2) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.921 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ 1 x) (/ 1 y)) 2) (+ (/ 1 y) (/ 1 x))) in y 0.921 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.921 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.921 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.921 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.921 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.925 * [taylor]: Taking taylor expansion of x in y 0.925 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ 1 x) (/ 1 y)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.925 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.925 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.925 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.925 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.925 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.929 * [taylor]: Taking taylor expansion of y in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ 1 x) (/ 1 y)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.930 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.930 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.930 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.930 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of 1 in y 0.935 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.940 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.940 * [taylor]: Taking taylor expansion of 2 in y 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.940 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.947 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.947 * [taylor]: Taking taylor expansion of 2 in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.947 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.958 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.958 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in y 0.958 * [taylor]: Taking taylor expansion of -1 in y 0.958 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x))) in y 0.958 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.958 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.958 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.958 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.958 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.958 * [taylor]: Taking taylor expansion of -1 in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.958 * [taylor]: Taking taylor expansion of -1 in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.959 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.959 * [taylor]: Taking taylor expansion of -1 in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.959 * [taylor]: Taking taylor expansion of -1 in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.963 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.963 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.963 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.963 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.963 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.963 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.964 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [taylor]: Taking taylor expansion of (/ (pow (hypot (/ -1 x) (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.967 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.967 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.968 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.968 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.968 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.968 * [taylor]: Taking taylor expansion of -1 in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.968 * [taylor]: Taking taylor expansion of -1 in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.968 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.968 * [taylor]: Taking taylor expansion of -1 in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.968 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.968 * [taylor]: Taking taylor expansion of -1 in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of -1 in y 0.974 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.979 * [taylor]: Taking taylor expansion of 2 in y 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.988 * [taylor]: Taking taylor expansion of 2 in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.988 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.994 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.994 * [approximate]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in (x y) around 0 0.994 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in y 0.994 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.994 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.994 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.994 * [taylor]: Taking taylor expansion of (* x x) in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.995 * [taylor]: Taking taylor expansion of (* y y) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of (+ x y) in y 0.996 * [taylor]: Taking taylor expansion of x in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 0.996 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.996 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.996 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.996 * [taylor]: Taking taylor expansion of (* x x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (* y y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.997 * [taylor]: Taking taylor expansion of (+ x y) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [taylor]: Taking taylor expansion of (/ (hypot x y) (+ x y)) in x 0.997 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.997 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.997 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.997 * [taylor]: Taking taylor expansion of (* x x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (* y y) in x 0.998 * [taylor]: Taking taylor expansion of y in x 0.998 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of (+ x y) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of 1 in y 0.999 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 1.002 * [taylor]: Taking taylor expansion of 3/2 in y 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.007 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 1.007 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 1.007 * [taylor]: Taking taylor expansion of 3/2 in y 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.007 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.013 * [approximate]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 1.013 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.013 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.013 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.013 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.013 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.013 * [taylor]: Taking taylor expansion of x in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.013 * [taylor]: Taking taylor expansion of x in y 1.013 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.017 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.017 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.017 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.017 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.020 * [taylor]: Taking taylor expansion of y in x 1.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (/ (hypot (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.021 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.021 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.021 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.021 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of 1 in y 1.026 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 1.031 * [taylor]: Taking taylor expansion of 3/2 in y 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 3)))) in y 1.044 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 1.044 * [taylor]: Taking taylor expansion of 3/2 in y 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.044 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.050 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.050 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in y 1.050 * [taylor]: Taking taylor expansion of -1 in y 1.050 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.050 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.050 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.050 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.050 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.050 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.050 * [taylor]: Taking taylor expansion of -1 in y 1.050 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.051 * [taylor]: Taking taylor expansion of -1 in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.051 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.051 * [taylor]: Taking taylor expansion of -1 in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.051 * [taylor]: Taking taylor expansion of -1 in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.054 * [taylor]: Taking taylor expansion of x in y 1.055 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 1.055 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.055 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.055 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.055 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.055 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.055 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.055 * [taylor]: Taking taylor expansion of -1 in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.056 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.056 * [taylor]: Taking taylor expansion of -1 in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.056 * [taylor]: Taking taylor expansion of -1 in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 1.059 * [taylor]: Taking taylor expansion of -1 in x 1.059 * [taylor]: Taking taylor expansion of (/ (hypot (/ -1 x) (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.059 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.059 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.059 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.059 * [taylor]: Taking taylor expansion of -1 in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.060 * [taylor]: Taking taylor expansion of -1 in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.060 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.060 * [taylor]: Taking taylor expansion of -1 in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.060 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.060 * [taylor]: Taking taylor expansion of -1 in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.063 * [taylor]: Taking taylor expansion of y in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of -1 in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.070 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y 1.070 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y 1.070 * [taylor]: Taking taylor expansion of 3/2 in y 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.070 * [taylor]: Taking taylor expansion of y in y 1.078 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 3))) in y 1.079 * [taylor]: Taking taylor expansion of 3/2 in y 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.079 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.084 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.084 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 1.084 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 1.084 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.084 * [taylor]: Taking taylor expansion of (+ x y) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (- x y) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.084 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.085 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.085 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.085 * [taylor]: Taking taylor expansion of (* x x) in y 1.085 * [taylor]: Taking taylor expansion of x in y 1.085 * [taylor]: Taking taylor expansion of x in y 1.085 * [taylor]: Taking taylor expansion of (* y y) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.086 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.086 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.086 * [taylor]: Taking taylor expansion of (+ x y) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (- x y) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.086 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.086 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.086 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.086 * [taylor]: Taking taylor expansion of (* x x) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (* y y) in x 1.087 * [taylor]: Taking taylor expansion of y in x 1.087 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 1.088 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.088 * [taylor]: Taking taylor expansion of (+ x y) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of (- x y) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.088 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.088 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.088 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.088 * [taylor]: Taking taylor expansion of (* x x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (* y y) in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.089 * [taylor]: Taking taylor expansion of -1 in y 1.090 * [taylor]: Taking taylor expansion of 0 in y 1.093 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.093 * [taylor]: Taking taylor expansion of 2 in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of 0 in y 1.099 * [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 1.099 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.099 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.099 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.099 * [taylor]: Taking taylor expansion of x in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.100 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.100 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.100 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.105 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.105 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.106 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.106 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.106 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.106 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.110 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.110 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.111 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.111 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.111 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.112 * [taylor]: Taking taylor expansion of y in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.112 * [taylor]: Taking taylor expansion of y in x 1.115 * [taylor]: Taking taylor expansion of 1 in y 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.123 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.123 * [taylor]: Taking taylor expansion of 2 in y 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.123 * [taylor]: Taking taylor expansion of y in y 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.138 * [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 1.138 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.138 * [taylor]: Taking taylor expansion of -1 in y 1.138 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.138 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.138 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.138 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.138 * [taylor]: Taking taylor expansion of y in y 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.139 * [taylor]: Taking taylor expansion of x in y 1.139 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.139 * [taylor]: Taking taylor expansion of y in y 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.139 * [taylor]: Taking taylor expansion of x in y 1.139 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.139 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.139 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.139 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.139 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.139 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.139 * [taylor]: Taking taylor expansion of -1 in y 1.139 * [taylor]: Taking taylor expansion of x in y 1.139 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.139 * [taylor]: Taking taylor expansion of -1 in y 1.139 * [taylor]: Taking taylor expansion of x in y 1.139 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.139 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.139 * [taylor]: Taking taylor expansion of -1 in y 1.139 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.140 * [taylor]: Taking taylor expansion of -1 in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.144 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.144 * [taylor]: Taking taylor expansion of -1 in x 1.144 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.144 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.144 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.145 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.145 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.145 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.149 * [taylor]: Taking taylor expansion of -1 in x 1.149 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.149 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 (/ 1 x) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 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 (/ 1 x) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) 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 -1 in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.151 * [taylor]: Taking taylor expansion of -1 in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.151 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.151 * [taylor]: Taking taylor expansion of -1 in x 1.151 * [taylor]: Taking taylor expansion of y in x 1.151 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.151 * [taylor]: Taking taylor expansion of -1 in x 1.151 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of 1 in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.164 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.164 * [taylor]: Taking taylor expansion of 2 in y 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of 0 in y 1.175 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.175 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 1.175 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.175 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.175 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.175 * [taylor]: Taking taylor expansion of (* x x) in y 1.175 * [taylor]: Taking taylor expansion of x in y 1.175 * [taylor]: Taking taylor expansion of x in y 1.175 * [taylor]: Taking taylor expansion of (* y y) in y 1.175 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of y in y 1.176 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.176 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.176 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.176 * [taylor]: Taking taylor expansion of (* x x) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (* y y) in x 1.176 * [taylor]: Taking taylor expansion of y in x 1.176 * [taylor]: Taking taylor expansion of y in x 1.177 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.177 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.177 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.177 * [taylor]: Taking taylor expansion of (* x x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (* y y) in x 1.178 * [taylor]: Taking taylor expansion of y in x 1.178 * [taylor]: Taking taylor expansion of y in x 1.179 * [taylor]: Taking taylor expansion of y in y 1.179 * [taylor]: Taking taylor expansion of 0 in y 1.180 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.180 * [taylor]: Taking taylor expansion of 1/2 in y 1.180 * [taylor]: Taking taylor expansion of y in y 1.182 * [taylor]: Taking taylor expansion of 0 in y 1.183 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 1.183 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 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 y 1.183 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.183 * [taylor]: Taking taylor expansion of x in y 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.183 * [taylor]: Taking taylor expansion of x in y 1.183 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.183 * [taylor]: Taking taylor expansion of y in y 1.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.183 * [taylor]: Taking taylor expansion of y in y 1.186 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.186 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.186 * [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 x 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 (* (/ 1 y) (/ 1 y)) 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 y) in x 1.187 * [taylor]: Taking taylor expansion of y in x 1.190 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.190 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.190 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.190 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.193 * [taylor]: Taking taylor expansion of 1 in y 1.193 * [taylor]: Taking taylor expansion of 0 in y 1.195 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.195 * [taylor]: Taking taylor expansion of 1/2 in y 1.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.199 * [taylor]: Taking taylor expansion of 0 in y 1.200 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 1.200 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.200 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.200 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.200 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.200 * [taylor]: Taking taylor expansion of -1 in y 1.200 * [taylor]: Taking taylor expansion of x in y 1.200 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.200 * [taylor]: Taking taylor expansion of -1 in y 1.200 * [taylor]: Taking taylor expansion of x in y 1.200 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.201 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.201 * [taylor]: Taking taylor expansion of -1 in y 1.201 * [taylor]: Taking taylor expansion of y in y 1.201 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.201 * [taylor]: Taking taylor expansion of -1 in y 1.201 * [taylor]: Taking taylor expansion of y in y 1.204 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.204 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.204 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.204 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.204 * [taylor]: Taking taylor expansion of -1 in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.204 * [taylor]: Taking taylor expansion of -1 in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.205 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.205 * [taylor]: Taking taylor expansion of -1 in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.205 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.205 * [taylor]: Taking taylor expansion of -1 in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.207 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.208 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.208 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.208 * [taylor]: Taking taylor expansion of -1 in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.208 * [taylor]: Taking taylor expansion of -1 in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.208 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.208 * [taylor]: Taking taylor expansion of -1 in x 1.208 * [taylor]: Taking taylor expansion of y in x 1.208 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.208 * [taylor]: Taking taylor expansion of -1 in x 1.208 * [taylor]: Taking taylor expansion of y in x 1.216 * [taylor]: Taking taylor expansion of 1 in y 1.216 * [taylor]: Taking taylor expansion of 0 in y 1.219 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.219 * [taylor]: Taking taylor expansion of 1/2 in y 1.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.219 * [taylor]: Taking taylor expansion of y in y 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.224 * * * [progress]: simplifying candidates 1.226 * [simplify]: Simplifying using # : (expm1 (* (hypot x y) (/ (hypot x y) (+ x y)))) (log1p (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (hypot x y) (+ x y))) (+ (log (hypot x y)) (- (log (hypot x y)) (log (+ x y)))) (+ (log (hypot x y)) (log (/ (hypot x y) (+ x y)))) (log (* (hypot x y) (/ (hypot x y) (+ x y)))) (exp (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (/ (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y)))) (* (cbrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (cbrt (* (hypot x y) (/ (hypot x y) (+ x y))))) (cbrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (* (* (hypot x y) (/ (hypot x y) (+ x y))) (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (hypot x y) (+ x y)))) (sqrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (sqrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (sqrt (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (* (sqrt (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (* (sqrt (hypot x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (sqrt (hypot x y)) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (hypot x y) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y))))) (* (hypot x y) (sqrt (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y)))) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1)) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1)) (* (hypot x y) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (hypot x y) (/ (sqrt (hypot x y)) (sqrt (+ x y)))) (* (hypot x y) (/ (sqrt (hypot x y)) 1)) (* (hypot x y) (/ (sqrt (hypot x y)) 1)) (* (hypot x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (hypot x y) (/ 1 (sqrt (+ x y)))) (* (hypot x y) (/ 1 1)) (* (hypot x y) (/ 1 1)) (* (hypot x y) 1) (* (hypot x y) (hypot x y)) (* (hypot x y) (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (* (hypot x y) (/ (hypot x y) (- (* x x) (* y y)))) (* (cbrt (hypot x y)) (/ (hypot x y) (+ x y))) (* (sqrt (hypot x y)) (/ (hypot x y) (+ x y))) (* (hypot x y) (/ (hypot x y) (+ x y))) (* (hypot x y) (hypot x y)) (expm1 (/ (hypot x y) (+ x y))) (log1p (/ (hypot x y) (+ x y))) (- (log (hypot x y)) (log (+ x y))) (log (/ (hypot x y) (+ x y))) (exp (/ (hypot x y) (+ x y))) (/ (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y)))) (cbrt (/ (hypot x y) (+ x y))) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y))) (sqrt (/ (hypot x y) (+ x y))) (sqrt (/ (hypot x y) (+ x y))) (- (hypot x y)) (- (+ x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (hypot x y)) (cbrt (+ x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y))) (/ (cbrt (hypot x y)) (sqrt (+ x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1) (/ (cbrt (hypot x y)) (+ x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) 1) (/ (cbrt (hypot x y)) (+ x y)) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (hypot x y)) (cbrt (+ x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y))) (/ (sqrt (hypot x y)) 1) (/ (sqrt (hypot x y)) (+ x y)) (/ (sqrt (hypot x y)) 1) (/ (sqrt (hypot x y)) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (/ 1 1) (/ (hypot x y) (+ x y)) (/ 1 1) (/ (hypot x y) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (hypot x y)) (/ (hypot x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) 1) (/ (hypot x y) 1) (/ (+ x y) (cbrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y)) (/ (hypot x y) (+ (pow x 3) (pow y 3))) (/ (hypot x y) (- (* x x) (* y y))) (expm1 (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (log1p (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (- (log (- x y)) (+ (log (hypot x y)) (- (log (hypot x y)) (log (+ x y))))) (- (log (- x y)) (+ (log (hypot x y)) (log (/ (hypot x y) (+ x y))))) (- (log (- x y)) (log (* (hypot x y) (/ (hypot x y) (+ x y))))) (log (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (exp (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (/ (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (+ x y) (+ x y)) (+ x y))))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (/ (hypot x y) (+ x y)) (/ (hypot x y) (+ x y))) (/ (hypot x y) (+ x y))))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (hypot x y) (/ (hypot x y) (+ x y))) (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (hypot x y) (+ x y))))) (* (cbrt (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (cbrt (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))))) (cbrt (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (* (* (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (sqrt (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (sqrt (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (- (- x y)) (- (* (hypot x y) (/ (hypot x y) (+ x y)))) (/ x (* (hypot x y) (/ (hypot x y) (+ x y)))) (/ y (* (hypot x y) (/ (hypot x y) (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (hypot x y)) (/ (cbrt (- x y)) (/ (hypot x y) (+ x y))) (/ (sqrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (/ (hypot x y) (+ x y))) (/ 1 (hypot x y)) (/ (- x y) (/ (hypot x y) (+ x y))) (/ (+ (sqrt x) (sqrt y)) (hypot x y)) (/ (- (sqrt x) (sqrt y)) (/ (hypot x y) (+ x y))) (/ 1 (hypot x y)) (/ (- x y) (/ (hypot x y) (+ x y))) (/ 1 (* (hypot x y) (/ (hypot x y) (+ x y)))) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (- x y)) (/ (- x y) (hypot x y)) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (cbrt (- x y))) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (sqrt (- x y))) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (- x y)) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (- (sqrt x) (sqrt y))) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (- x y)) (/ (- x y) (* (hypot x y) (hypot x y))) (* (* (hypot x y) (/ (hypot x y) (+ x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (* (hypot x y) (/ (hypot x y) (+ 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)) (- y x) (- x y) (- x y) 1 1 -1 -1 1 1 y x (* -1 x) 1.232 * * [simplify]: iteration 0 : 378 enodes (cost 858 ) 1.240 * * [simplify]: iteration 1 : 1715 enodes (cost 740 ) 1.269 * * [simplify]: iteration 2 : 5001 enodes (cost 733 ) 1.274 * [simplify]: Simplified to: (expm1 (* (hypot x y) (/ (hypot x y) (+ x y)))) (log1p (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (hypot x y) (+ x y))) (log (* (hypot x y) (/ (hypot x y) (+ x y)))) (log (* (hypot x y) (/ (hypot x y) (+ x y)))) (log (* (hypot x y) (/ (hypot x y) (+ x y)))) (exp (* (hypot x y) (/ (hypot x y) (+ x y)))) (pow (* (hypot x y) (/ (hypot x y) (+ x y))) 3) (pow (* (hypot x y) (/ (hypot x y) (+ x y))) 3) (* (cbrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (cbrt (* (hypot x y) (/ (hypot x y) (+ x y))))) (cbrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (pow (* (hypot x y) (/ (hypot x y) (+ x y))) 3) (sqrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (sqrt (* (hypot x y) (/ (hypot x y) (+ x y)))) (* (sqrt (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (* (sqrt (hypot x y)) (sqrt (/ (hypot x y) (+ x y)))) (/ (hypot x y) (sqrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) (* (hypot x y) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y))))) (* (hypot x y) (sqrt (/ (hypot x y) (+ x y)))) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (hypot x y) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y)))) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (hypot x y)) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (hypot x y)) (/ (pow (sqrt (hypot x y)) 3) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (pow (sqrt (hypot x y)) 3) (sqrt (+ x y))) (pow (sqrt (hypot x y)) 3) (pow (sqrt (hypot x y)) 3) (/ (hypot x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (sqrt (+ x y))) (hypot x y) (hypot x y) (hypot x y) (* (hypot x y) (hypot x y)) (* (hypot x y) (/ (hypot x y) (+ (pow x 3) (pow y 3)))) (* (hypot x y) (/ (hypot x y) (- (* x x) (* y y)))) (* (cbrt (hypot x y)) (/ (hypot x y) (+ x y))) (/ (pow (sqrt (hypot x y)) 3) (+ x y)) (* (hypot x y) (/ (hypot x y) (+ x y))) (* (hypot x y) (hypot x y)) (expm1 (/ (hypot x y) (+ x y))) (log1p (/ (hypot x y) (+ x y))) (log (/ (hypot x y) (+ x y))) (log (/ (hypot x y) (+ x y))) (exp (/ (hypot x y) (+ x y))) (pow (/ (hypot x y) (+ x y)) 3) (* (cbrt (/ (hypot x y) (+ x y))) (cbrt (/ (hypot x y) (+ x y)))) (cbrt (/ (hypot x y) (+ x y))) (pow (/ (hypot x y) (+ x y)) 3) (sqrt (/ (hypot x y) (+ x y))) (sqrt (/ (hypot x y) (+ x y))) (- (hypot x y)) (- (+ x y)) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (hypot x y)) (cbrt (+ x y))) (/ (* (cbrt (hypot x y)) (cbrt (hypot x y))) (sqrt (+ x y))) (/ (cbrt (hypot x y)) (sqrt (+ x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (/ (cbrt (hypot x y)) (+ x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (/ (cbrt (hypot x y)) (+ x y)) (/ (sqrt (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (hypot x y)) (cbrt (+ x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y))) (/ (sqrt (hypot x y)) (sqrt (+ x y))) (sqrt (hypot x y)) (/ (sqrt (hypot x y)) (+ x y)) (sqrt (hypot x y)) (/ (sqrt (hypot x y)) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (hypot x y) (sqrt (+ x y))) 1 (/ (hypot x y) (+ x y)) 1 (/ (hypot x y) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (hypot x y)) (/ (hypot x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (hypot x y) (sqrt (+ x y))) (hypot x y) (hypot x y) (/ (+ x y) (cbrt (hypot x y))) (/ (+ x y) (sqrt (hypot x y))) (/ (+ x y) (hypot x y)) (/ (hypot x y) (+ (pow x 3) (pow y 3))) (/ (hypot x y) (- (* x x) (* y y))) (expm1 (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (log1p (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (log (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (log (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (log (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (log (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (exp (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3) (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3) (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3) (* (cbrt (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (cbrt (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))))) (cbrt (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3) (sqrt (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (sqrt (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))) (- y x) (- (* (hypot x y) (/ (hypot x y) (+ x y)))) (/ x (* (hypot x y) (/ (hypot x y) (+ x y)))) (/ y (* (hypot x y) (/ (hypot x y) (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (hypot x y)) (/ (cbrt (- x y)) (/ (hypot x y) (+ x y))) (/ (sqrt (- x y)) (hypot x y)) (/ (sqrt (- x y)) (/ (hypot x y) (+ x y))) (/ 1 (hypot x y)) (/ (- x y) (/ (hypot x y) (+ x y))) (/ (+ (sqrt x) (sqrt y)) (hypot x y)) (/ (- (sqrt x) (sqrt y)) (/ (hypot x y) (+ x y))) (/ 1 (hypot x y)) (/ (- x y) (/ (hypot x y) (+ x y))) (/ (/ (+ x y) (hypot x y)) (hypot x y)) (* (hypot x y) (/ (hypot x y) (- (* x x) (* y y)))) (/ (- x y) (hypot x y)) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (cbrt (- x y))) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (sqrt (- x y))) (* (hypot x y) (/ (hypot x y) (- (* x x) (* y y)))) (/ (* (hypot x y) (/ (hypot x y) (+ x y))) (- (sqrt x) (sqrt y))) (* (hypot x y) (/ (hypot x y) (- (* x x) (* y y)))) (/ (- x y) (* (hypot x y) (hypot x y))) (* (hypot x y) (* (/ (hypot x y) (+ x y)) (fma x x (fma y y (* x y))))) (* (* (hypot x y) (/ (hypot x y) (+ x y))) (+ x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) (- y x) (- x y) (- x y) 1 1 -1 -1 1 1 y x (* -1 x) 1.275 * * * [progress]: adding candidates to table 1.484 * [progress]: [Phase 3 of 3] Extracting. 1.484 * * [regime]: Finding splitpoints for: (# # # #) 1.486 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.486 * * * * [regimes]: Trying to branch on y from (# # # #) 1.503 * * * * [regimes]: Trying to branch on x from (# # # #) 1.524 * * * [regime]: Found split indices: #