6.486 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.018 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 73 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.028 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.031 * * [simplify]: iteration 6 : 131 enodes (cost 3 ) 0.031 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.073 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (- x y) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (- x y) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (- x y) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of (- y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.091 * [taylor]: Taking taylor expansion of -1 in y 0.091 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.092 * [taylor]: Taking taylor expansion of -1 in x 0.092 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.093 * [taylor]: Taking taylor expansion of -1 in x 0.093 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.093 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.107 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.107 * [taylor]: Taking taylor expansion of 2.0 in y 0.107 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (- x y) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (- x y) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (- x y) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.109 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.109 * [taylor]: Taking taylor expansion of 2.0 in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of 2.0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.118 * [taylor]: Taking taylor expansion of 2.0 in y 0.118 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.119 * [taylor]: Taking taylor expansion of 2.0 in x 0.119 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.120 * [taylor]: Taking taylor expansion of 2.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 2.0 in y 0.122 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of 2.0 in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.140 * [taylor]: Taking taylor expansion of -2.0 in y 0.140 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.141 * [taylor]: Taking taylor expansion of -2.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) 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 x in x 0.142 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.142 * [taylor]: Taking taylor expansion of -2.0 in x 0.142 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 2.0 in y 0.145 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.145 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.145 * [taylor]: Taking taylor expansion of 2.0 in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * * * [progress]: simplifying candidates 0.158 * [simplify]: Simplifying using # : (expm1 (* x (- x y))) (log1p (* x (- x y))) (* x (- x y)) (+ (log x) (log (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (sqrt x) (sqrt x) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma 1 x (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma 1 x (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x x) (* x (- y)) (* x x) (* x (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (sqrt x) (sqrt x) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma 1 x (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* x x) (* (- y) x) (* x x) (* (- y) x) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) (* x 1) (* x (+ (sqrt x) (sqrt y))) (* x 1) (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (expm1 (* (* x (- x y)) 2.0)) (log1p (* (* x (- x y)) 2.0)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (+ (+ (log x) (log (- x y))) (log 2.0)) (+ (log (* x (- x y))) (log 2.0)) (log (* (* x (- x y)) 2.0)) (exp (* (* x (- x y)) 2.0)) (* (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* 2.0 2.0) 2.0)) (* (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0))) (cbrt (* (* x (- x y)) 2.0)) (* (* (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0)) (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (* (* x (- x y)) (* (cbrt 2.0) (cbrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) 1) (* (- x y) 2.0) (* (* x (- (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.163 * * [simplify]: iteration 0 : 268 enodes (cost 469 ) 0.168 * * [simplify]: iteration 1 : 1243 enodes (cost 316 ) 0.194 * * [simplify]: iteration 2 : 5001 enodes (cost 310 ) 0.196 * [simplify]: Simplified to: (expm1 (* x (- x y))) (log1p (* x (- x y))) (* x (- x y)) (log (* x (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (pow (* x (- x y)) 3) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (expm1 (* (* x (- x y)) 2.0)) (log1p (* (* x (- x y)) 2.0)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (exp (* (* x (- x y)) 2.0)) (pow (* (* x (- x y)) 2.0) 3) (pow (* (* x (- x y)) 2.0) 3) (* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0))) (cbrt (* (* x (- x y)) 2.0)) (pow (* (* x (- x y)) 2.0) 3) (sqrt (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (* (* x (- x y)) (* (cbrt 2.0) (cbrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) (* x (- x y)) (* (- x y) 2.0) (* (* x (- (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (* x (- x y)) (* x (- x y)) (* x (- x y)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) 0.196 * * * [progress]: adding candidates to table 0.278 * * [progress]: iteration 2 / 4 0.278 * * * [progress]: picking best candidate 0.282 * * * * [pick]: Picked # 0.282 * * * [progress]: localizing error 0.287 * * * [progress]: generating rewritten candidates 0.287 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.301 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.301 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.301 * [taylor]: Taking taylor expansion of 2.0 in y 0.301 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of (- x y) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.301 * [taylor]: Taking taylor expansion of 2.0 in x 0.301 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (- x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.301 * [taylor]: Taking taylor expansion of 2.0 in x 0.301 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (- x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.303 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.303 * [taylor]: Taking taylor expansion of 2.0 in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of 2.0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.313 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.313 * [taylor]: Taking taylor expansion of 2.0 in y 0.313 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.314 * [taylor]: Taking taylor expansion of 2.0 in x 0.314 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.315 * [taylor]: Taking taylor expansion of 2.0 in x 0.315 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of 2.0 in y 0.318 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.318 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.318 * [taylor]: Taking taylor expansion of 2.0 in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.331 * [taylor]: Taking taylor expansion of -2.0 in y 0.331 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.332 * [taylor]: Taking taylor expansion of -2.0 in x 0.332 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.333 * [taylor]: Taking taylor expansion of -2.0 in x 0.333 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 2.0 in y 0.336 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.336 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.336 * [taylor]: Taking taylor expansion of 2.0 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.354 * * * [progress]: simplifying candidates 0.354 * [simplify]: Simplifying using # : (expm1 (* x (* (- x y) 2.0))) (log1p (* x (* (- x y) 2.0))) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (+ (log x) (+ (log (- x y)) (log 2.0))) (+ (log x) (log (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (* (* (* x x) x) (* (* (* (- x y) (- x y)) (- x y)) (* (* 2.0 2.0) 2.0))) (* (* (* x x) x) (* (* (* (- x y) 2.0) (* (- x y) 2.0)) (* (- x y) 2.0))) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (* (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (- x y)) (* (cbrt x) (* (- x y) 2.0)) (* (sqrt x) (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.358 * * [simplify]: iteration 0 : 144 enodes (cost 117 ) 0.361 * * [simplify]: iteration 1 : 558 enodes (cost 95 ) 0.375 * * [simplify]: iteration 2 : 3176 enodes (cost 95 ) 0.435 * * [simplify]: iteration 3 : 5002 enodes (cost 95 ) 0.436 * [simplify]: Simplified to: (expm1 (* x (* (- x y) 2.0))) (log1p (* x (* (- x y) 2.0))) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (pow (* x (* (- x y) 2.0)) 3) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (- x y)) (* (cbrt x) (* (- x y) 2.0)) (* (sqrt x) (* (- x y) 2.0)) (* 2.0 (* x (- x y))) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) 0.436 * * * [progress]: adding candidates to table 0.473 * * [progress]: iteration 3 / 4 0.473 * * * [progress]: picking best candidate 0.476 * * * * [pick]: Picked # 0.476 * * * [progress]: localizing error 0.486 * * * [progress]: generating rewritten candidates 0.486 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.498 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.510 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.594 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.613 * * * [progress]: generating series expansions 0.613 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.613 * [approximate]: Taking taylor expansion of (* (sqrt (* (- x y) x)) (sqrt 2.0)) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (* (sqrt (* (- x y) x)) (sqrt 2.0)) in y 0.613 * [taylor]: Taking taylor expansion of (sqrt (* (- x y) x)) in y 0.613 * [taylor]: Taking taylor expansion of (* (- x y) x) in y 0.613 * [taylor]: Taking taylor expansion of (- x y) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.614 * [taylor]: Taking taylor expansion of 2.0 in y 0.615 * [taylor]: Taking taylor expansion of (* (sqrt (* (- x y) x)) (sqrt 2.0)) in x 0.615 * [taylor]: Taking taylor expansion of (sqrt (* (- x y) x)) in x 0.615 * [taylor]: Taking taylor expansion of (* (- x y) x) in x 0.615 * [taylor]: Taking taylor expansion of (- x y) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.617 * [taylor]: Taking taylor expansion of 2.0 in x 0.617 * [taylor]: Taking taylor expansion of (* (sqrt (* (- x y) x)) (sqrt 2.0)) in x 0.618 * [taylor]: Taking taylor expansion of (sqrt (* (- x y) x)) in x 0.618 * [taylor]: Taking taylor expansion of (* (- x y) x) in x 0.618 * [taylor]: Taking taylor expansion of (- x y) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.619 * [taylor]: Taking taylor expansion of 2.0 in x 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) y))) in y 0.621 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) y)) in y 0.621 * [taylor]: Taking taylor expansion of +nan.0 in y 0.621 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 0.621 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.621 * [taylor]: Taking taylor expansion of 2.0 in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (* (sqrt 2.0) (pow y 2)))))) in y 0.625 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (* (sqrt 2.0) (pow y 2))))) in y 0.625 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in y 0.625 * [taylor]: Taking taylor expansion of +nan.0 in y 0.625 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.625 * [taylor]: Taking taylor expansion of 2.0 in y 0.626 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (pow y 2)))) in y 0.626 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow y 2))) in y 0.626 * [taylor]: Taking taylor expansion of +nan.0 in y 0.626 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow y 2)) in y 0.626 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.626 * [taylor]: Taking taylor expansion of 2.0 in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) y)) (- (* +nan.0 (* (sqrt 2.0) (pow y 3)))))) in y 0.638 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) y)) (- (* +nan.0 (* (sqrt 2.0) (pow y 3))))) in y 0.638 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) y)) in y 0.638 * [taylor]: Taking taylor expansion of +nan.0 in y 0.638 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 0.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.638 * [taylor]: Taking taylor expansion of 2.0 in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (pow y 3)))) in y 0.639 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow y 3))) in y 0.639 * [taylor]: Taking taylor expansion of +nan.0 in y 0.639 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow y 3)) in y 0.639 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.639 * [taylor]: Taking taylor expansion of 2.0 in y 0.640 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (pow y 4))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow y 2))) (- (* +nan.0 (sqrt 2.0))))))) in y 0.648 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (pow y 4))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow y 2))) (- (* +nan.0 (sqrt 2.0)))))) in y 0.648 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow y 4))) in y 0.648 * [taylor]: Taking taylor expansion of +nan.0 in y 0.648 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow y 4)) in y 0.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.648 * [taylor]: Taking taylor expansion of 2.0 in y 0.649 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (pow y 2))) (- (* +nan.0 (sqrt 2.0))))) in y 0.649 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (pow y 2))) (- (* +nan.0 (sqrt 2.0)))) in y 0.649 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow y 2))) in y 0.649 * [taylor]: Taking taylor expansion of +nan.0 in y 0.649 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow y 2)) in y 0.649 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.649 * [taylor]: Taking taylor expansion of 2.0 in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in y 0.650 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in y 0.650 * [taylor]: Taking taylor expansion of +nan.0 in y 0.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.650 * [taylor]: Taking taylor expansion of 2.0 in y 0.666 * [approximate]: Taking taylor expansion of (* (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) (sqrt 2.0)) in (x y) around 0 0.666 * [taylor]: Taking taylor expansion of (* (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) (sqrt 2.0)) in y 0.666 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.666 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.666 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.668 * [taylor]: Taking taylor expansion of 2.0 in y 0.668 * [taylor]: Taking taylor expansion of (* (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) (sqrt 2.0)) in x 0.668 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.668 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.669 * [taylor]: Taking taylor expansion of y in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.671 * [taylor]: Taking taylor expansion of 2.0 in x 0.671 * [taylor]: Taking taylor expansion of (* (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) (sqrt 2.0)) in x 0.671 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.671 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.674 * [taylor]: Taking taylor expansion of 2.0 in x 0.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.675 * [taylor]: Taking taylor expansion of 2.0 in y 0.676 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) y))) in y 0.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) y)) in y 0.676 * [taylor]: Taking taylor expansion of 1/2 in y 0.676 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) y) in y 0.676 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.676 * [taylor]: Taking taylor expansion of 2.0 in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ (sqrt 2.0) (pow y 2)))) in y 0.684 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow y 2))) in y 0.684 * [taylor]: Taking taylor expansion of 1/8 in y 0.684 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow y 2)) in y 0.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.684 * [taylor]: Taking taylor expansion of 2.0 in y 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ (sqrt 2.0) (pow y 3)))) in y 0.693 * [taylor]: Taking taylor expansion of (* 1/16 (/ (sqrt 2.0) (pow y 3))) in y 0.693 * [taylor]: Taking taylor expansion of 1/16 in y 0.693 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow y 3)) in y 0.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.693 * [taylor]: Taking taylor expansion of 2.0 in y 0.693 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.704 * [approximate]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in (x y) around 0 0.704 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in y 0.704 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.704 * [taylor]: Taking taylor expansion of -2.0 in y 0.704 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.704 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.705 * [taylor]: Taking taylor expansion of x in y 0.705 * [taylor]: Taking taylor expansion of x in y 0.706 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in x 0.706 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.706 * [taylor]: Taking taylor expansion of -2.0 in x 0.706 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.706 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in x 0.709 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.709 * [taylor]: Taking taylor expansion of -2.0 in x 0.709 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.709 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.713 * [taylor]: Taking taylor expansion of 2.0 in y 0.713 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt 2.0) y)) in y 0.713 * [taylor]: Taking taylor expansion of -1.0 in y 0.713 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 0.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.713 * [taylor]: Taking taylor expansion of 2.0 in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (/ -0.5 (* (pow (sqrt 2.0) 3) (pow y 2))) in y 0.721 * [taylor]: Taking taylor expansion of -0.5 in y 0.721 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 3) (pow y 2)) in y 0.721 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in y 0.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.721 * [taylor]: Taking taylor expansion of 2.0 in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (/ -0.5 (* (pow (sqrt 2.0) 5) (pow y 3))) in y 0.735 * [taylor]: Taking taylor expansion of -0.5 in y 0.735 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 5) (pow y 3)) in y 0.735 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 5) in y 0.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.735 * [taylor]: Taking taylor expansion of 2.0 in y 0.735 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.762 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.762 * [approximate]: Taking taylor expansion of (* (sqrt (* (- x y) x)) (sqrt 2.0)) in (x y) around 0 0.762 * [taylor]: Taking taylor expansion of (* (sqrt (* (- x y) x)) (sqrt 2.0)) in y 0.762 * [taylor]: Taking taylor expansion of (sqrt (* (- x y) x)) in y 0.762 * [taylor]: Taking taylor expansion of (* (- x y) x) in y 0.762 * [taylor]: Taking taylor expansion of (- x y) in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.763 * [taylor]: Taking taylor expansion of 2.0 in y 0.764 * [taylor]: Taking taylor expansion of (* (sqrt (* (- x y) x)) (sqrt 2.0)) in x 0.764 * [taylor]: Taking taylor expansion of (sqrt (* (- x y) x)) in x 0.764 * [taylor]: Taking taylor expansion of (* (- x y) x) in x 0.764 * [taylor]: Taking taylor expansion of (- x y) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.765 * [taylor]: Taking taylor expansion of 2.0 in x 0.766 * [taylor]: Taking taylor expansion of (* (sqrt (* (- x y) x)) (sqrt 2.0)) in x 0.766 * [taylor]: Taking taylor expansion of (sqrt (* (- x y) x)) in x 0.766 * [taylor]: Taking taylor expansion of (* (- x y) x) in x 0.766 * [taylor]: Taking taylor expansion of (- x y) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.767 * [taylor]: Taking taylor expansion of 2.0 in x 0.768 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) y))) in y 0.769 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) y)) in y 0.769 * [taylor]: Taking taylor expansion of +nan.0 in y 0.769 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 0.769 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.769 * [taylor]: Taking taylor expansion of 2.0 in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.773 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (* (sqrt 2.0) (pow y 2)))))) in y 0.773 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (* (sqrt 2.0) (pow y 2))))) in y 0.773 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in y 0.773 * [taylor]: Taking taylor expansion of +nan.0 in y 0.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.773 * [taylor]: Taking taylor expansion of 2.0 in y 0.774 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (pow y 2)))) in y 0.774 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow y 2))) in y 0.774 * [taylor]: Taking taylor expansion of +nan.0 in y 0.774 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow y 2)) in y 0.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.774 * [taylor]: Taking taylor expansion of 2.0 in y 0.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) y)) (- (* +nan.0 (* (sqrt 2.0) (pow y 3)))))) in y 0.786 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) y)) (- (* +nan.0 (* (sqrt 2.0) (pow y 3))))) in y 0.786 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) y)) in y 0.786 * [taylor]: Taking taylor expansion of +nan.0 in y 0.786 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 0.786 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.786 * [taylor]: Taking taylor expansion of 2.0 in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (pow y 3)))) in y 0.787 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow y 3))) in y 0.787 * [taylor]: Taking taylor expansion of +nan.0 in y 0.787 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow y 3)) in y 0.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.787 * [taylor]: Taking taylor expansion of 2.0 in y 0.788 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (pow y 4))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow y 2))) (- (* +nan.0 (sqrt 2.0))))))) in y 0.796 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (pow y 4))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow y 2))) (- (* +nan.0 (sqrt 2.0)))))) in y 0.796 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow y 4))) in y 0.796 * [taylor]: Taking taylor expansion of +nan.0 in y 0.796 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow y 4)) in y 0.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.796 * [taylor]: Taking taylor expansion of 2.0 in y 0.797 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (pow y 2))) (- (* +nan.0 (sqrt 2.0))))) in y 0.797 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (pow y 2))) (- (* +nan.0 (sqrt 2.0)))) in y 0.797 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow y 2))) in y 0.797 * [taylor]: Taking taylor expansion of +nan.0 in y 0.797 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow y 2)) in y 0.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.797 * [taylor]: Taking taylor expansion of 2.0 in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in y 0.798 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in y 0.798 * [taylor]: Taking taylor expansion of +nan.0 in y 0.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.798 * [taylor]: Taking taylor expansion of 2.0 in y 0.810 * [approximate]: Taking taylor expansion of (* (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) (sqrt 2.0)) in (x y) around 0 0.810 * [taylor]: Taking taylor expansion of (* (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) (sqrt 2.0)) in y 0.810 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.810 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.810 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.811 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.811 * [taylor]: Taking taylor expansion of 2.0 in y 0.812 * [taylor]: Taking taylor expansion of (* (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) (sqrt 2.0)) in x 0.812 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.812 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.812 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.814 * [taylor]: Taking taylor expansion of 2.0 in x 0.815 * [taylor]: Taking taylor expansion of (* (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) (sqrt 2.0)) in x 0.815 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.815 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.817 * [taylor]: Taking taylor expansion of 2.0 in x 0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.819 * [taylor]: Taking taylor expansion of 2.0 in y 0.820 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) y))) in y 0.820 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) y)) in y 0.820 * [taylor]: Taking taylor expansion of 1/2 in y 0.820 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) y) in y 0.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.820 * [taylor]: Taking taylor expansion of 2.0 in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ (sqrt 2.0) (pow y 2)))) in y 0.834 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow y 2))) in y 0.834 * [taylor]: Taking taylor expansion of 1/8 in y 0.834 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow y 2)) in y 0.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.834 * [taylor]: Taking taylor expansion of 2.0 in y 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ (sqrt 2.0) (pow y 3)))) in y 0.842 * [taylor]: Taking taylor expansion of (* 1/16 (/ (sqrt 2.0) (pow y 3))) in y 0.842 * [taylor]: Taking taylor expansion of 1/16 in y 0.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow y 3)) in y 0.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.842 * [taylor]: Taking taylor expansion of 2.0 in y 0.843 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.855 * [approximate]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in (x y) around 0 0.855 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in y 0.855 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.855 * [taylor]: Taking taylor expansion of -2.0 in y 0.855 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.855 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.855 * [taylor]: Taking taylor expansion of x in y 0.855 * [taylor]: Taking taylor expansion of x in y 0.856 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in x 0.856 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.856 * [taylor]: Taking taylor expansion of -2.0 in x 0.856 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.856 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in x 0.860 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.860 * [taylor]: Taking taylor expansion of -2.0 in x 0.860 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.860 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.863 * [taylor]: Taking taylor expansion of 2.0 in y 0.864 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt 2.0) y)) in y 0.864 * [taylor]: Taking taylor expansion of -1.0 in y 0.864 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 0.864 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.864 * [taylor]: Taking taylor expansion of 2.0 in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (/ -0.5 (* (pow (sqrt 2.0) 3) (pow y 2))) in y 0.871 * [taylor]: Taking taylor expansion of -0.5 in y 0.871 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 3) (pow y 2)) in y 0.871 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in y 0.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.871 * [taylor]: Taking taylor expansion of 2.0 in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.885 * [taylor]: Taking taylor expansion of (/ -0.5 (* (pow (sqrt 2.0) 5) (pow y 3))) in y 0.885 * [taylor]: Taking taylor expansion of -0.5 in y 0.885 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 5) (pow y 3)) in y 0.885 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 5) in y 0.885 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.885 * [taylor]: Taking taylor expansion of 2.0 in y 0.886 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.914 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.914 * [approximate]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in (x y) around 0 0.914 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- x y)) in y 0.914 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.914 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.914 * [taylor]: Taking taylor expansion of 2.0 in y 0.915 * [taylor]: Taking taylor expansion of (- x y) in y 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- x y)) in x 0.915 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.915 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.915 * [taylor]: Taking taylor expansion of 2.0 in x 0.916 * [taylor]: Taking taylor expansion of (- x y) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- x y)) in x 0.916 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.916 * [taylor]: Taking taylor expansion of 2.0 in x 0.916 * [taylor]: Taking taylor expansion of (- x y) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [taylor]: Taking taylor expansion of (- (* (pow (sqrt 2.0) 2) y)) in y 0.922 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 0.922 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.922 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.922 * [taylor]: Taking taylor expansion of 2.0 in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.928 * [taylor]: Taking taylor expansion of 2.0 in y 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in (x y) around 0 0.947 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in y 0.947 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) in y 0.947 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.947 * [taylor]: Taking taylor expansion of x in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.948 * [taylor]: Taking taylor expansion of 2.0 in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in x 0.952 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) in x 0.952 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.952 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.952 * [taylor]: Taking taylor expansion of 2.0 in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in x 0.956 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) in x 0.956 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.956 * [taylor]: Taking taylor expansion of y in x 0.956 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.957 * [taylor]: Taking taylor expansion of 2.0 in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.960 * [taylor]: Taking taylor expansion of 2.0 in y 0.964 * [taylor]: Taking taylor expansion of (- (/ (pow (sqrt 2.0) 2) y)) in y 0.964 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) y) in y 0.964 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.964 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.964 * [taylor]: Taking taylor expansion of 2.0 in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [taylor]: Taking taylor expansion of 0 in y 0.997 * [approximate]: Taking taylor expansion of (pow (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) 2) in (x y) around 0 0.997 * [taylor]: Taking taylor expansion of (pow (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) 2) in y 0.997 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in y 0.997 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.997 * [taylor]: Taking taylor expansion of -2.0 in y 0.997 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.997 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.998 * [taylor]: Taking taylor expansion of x in y 0.998 * [taylor]: Taking taylor expansion of x in y 0.999 * [taylor]: Taking taylor expansion of (pow (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) 2) in x 0.999 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in x 0.999 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.999 * [taylor]: Taking taylor expansion of -2.0 in x 0.999 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.999 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.999 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (pow (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) 2) in x 1.003 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x))) in x 1.003 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 1.003 * [taylor]: Taking taylor expansion of -2.0 in x 1.003 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 1.003 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.003 * [taylor]: Taking taylor expansion of y in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 1.007 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 1.007 * [taylor]: Taking taylor expansion of 2.0 in y 1.010 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 1.010 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.010 * [taylor]: Taking taylor expansion of 2.0 in y 1.010 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of 0 in y 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.030 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.030 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 1.030 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 1.030 * [taylor]: Taking taylor expansion of 2.0 in y 1.030 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.030 * [taylor]: Taking taylor expansion of (- x y) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 1.030 * [taylor]: Taking taylor expansion of 2.0 in x 1.030 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (- x y) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 1.030 * [taylor]: Taking taylor expansion of 2.0 in x 1.030 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (- x y) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of 0 in y 1.032 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 1.032 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.032 * [taylor]: Taking taylor expansion of 2.0 in y 1.032 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of 2.0 in y 1.037 * [taylor]: Taking taylor expansion of 0 in y 1.040 * [taylor]: Taking taylor expansion of 0 in y 1.040 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 1.041 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 1.041 * [taylor]: Taking taylor expansion of 2.0 in y 1.041 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 1.041 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.041 * [taylor]: Taking taylor expansion of x in y 1.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of x in y 1.041 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 1.041 * [taylor]: Taking taylor expansion of 2.0 in x 1.041 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 1.042 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 1.042 * [taylor]: Taking taylor expansion of 2.0 in x 1.042 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 1.042 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of 2.0 in y 1.045 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 1.045 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.045 * [taylor]: Taking taylor expansion of 2.0 in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of 0 in y 1.052 * [taylor]: Taking taylor expansion of 0 in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.058 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 1.058 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 1.058 * [taylor]: Taking taylor expansion of -2.0 in y 1.058 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 1.058 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.058 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.058 * [taylor]: Taking taylor expansion of x in y 1.058 * [taylor]: Taking taylor expansion of x in y 1.058 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 1.058 * [taylor]: Taking taylor expansion of -2.0 in x 1.058 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) 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 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 1.060 * [taylor]: Taking taylor expansion of -2.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 1.060 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of 2.0 in y 1.062 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 1.062 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.062 * [taylor]: Taking taylor expansion of 2.0 in y 1.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.062 * [taylor]: Taking taylor expansion of y in y 1.066 * [taylor]: Taking taylor expansion of 0 in y 1.070 * [taylor]: Taking taylor expansion of 0 in y 1.074 * [taylor]: Taking taylor expansion of 0 in y 1.075 * * * [progress]: simplifying candidates 1.077 * [simplify]: Simplifying using # : (expm1 (sqrt (* x (* (- x y) 2.0)))) (log1p (sqrt (* x (* (- x y) 2.0)))) (log (sqrt (* x (* (- x y) 2.0)))) (exp (sqrt (* x (* (- x y) 2.0)))) (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (cbrt (sqrt (* x (* (- x y) 2.0))))) (cbrt (sqrt (* x (* (- x y) 2.0)))) (* (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0)))) (sqrt (* x (* (- x y) 2.0)))) (sqrt x) (sqrt (* (- x y) 2.0)) (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0))) (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (sqrt (+ x y)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (* (- x y) 2.0)))) (sqrt (sqrt (* x (* (- x y) 2.0)))) (expm1 (sqrt (* x (* (- x y) 2.0)))) (log1p (sqrt (* x (* (- x y) 2.0)))) (log (sqrt (* x (* (- x y) 2.0)))) (exp (sqrt (* x (* (- x y) 2.0)))) (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (cbrt (sqrt (* x (* (- x y) 2.0))))) (cbrt (sqrt (* x (* (- x y) 2.0)))) (* (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0)))) (sqrt (* x (* (- x y) 2.0)))) (sqrt x) (sqrt (* (- x y) 2.0)) (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0))) (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (sqrt (+ x y)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (* (- x y) 2.0)))) (sqrt (sqrt (* x (* (- x y) 2.0)))) (expm1 (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))) (log1p (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0)))) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (+ 1 1) (+ (log (sqrt (* x (* (- x y) 2.0)))) (log (sqrt (* x (* (- x y) 2.0))))) (log (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))) (exp (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))) (* (* (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0)))) (sqrt (* x (* (- x y) 2.0)))) (* (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0)))) (sqrt (* x (* (- x y) 2.0))))) (* (cbrt (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))) (cbrt (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0)))))) (cbrt (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))) (* (* (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0)))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))) (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (sqrt (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))) (sqrt (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))) (* (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0))) (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0)))) (* (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (+ (* x x) (+ (* y y) (* x y))))) (* (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0))) (sqrt (* x (* (- (* x x) (* y y)) 2.0)))) (* (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (+ x y))) (* (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0)))) (* (sqrt (+ x y)) (sqrt (+ (* x x) (+ (* y y) (* x y))))) (* (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (sqrt (* x (* (- (* x x) (* y y)) 2.0)))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (cbrt (sqrt (* x (* (- x y) 2.0))))) (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (cbrt (sqrt (* x (* (- x y) 2.0)))))) (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (cbrt (sqrt (* x (* (- x y) 2.0))))) (* (sqrt x) (sqrt x)) (* (sqrt (* (- x y) 2.0)) (sqrt (* (- x y) 2.0))) (* (sqrt (sqrt (* x (* (- x y) 2.0)))) (sqrt (sqrt (* x (* (- x y) 2.0))))) (* (sqrt (sqrt (* x (* (- x y) 2.0)))) (sqrt (sqrt (* x (* (- x y) 2.0))))) (* 1 1) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0)))) (* (sqrt (sqrt (* x (* (- x y) 2.0)))) (sqrt (sqrt (* x (* (- x y) 2.0))))) (* (sqrt (sqrt (* x (* (- x y) 2.0)))) (sqrt (sqrt (* x (* (- x y) 2.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* x (* (- x y) 2.0))) (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (cbrt (sqrt (* x (* (- x y) 2.0)))))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt x)) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (sqrt (* x (* (- x y) 2.0))))) (* (sqrt (* x (* (- x y) 2.0))) 1) (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (sqrt (* x (* (- x y) 2.0)))) (* (sqrt (* (- x y) 2.0)) (sqrt (* x (* (- x y) 2.0)))) (* (sqrt (sqrt (* x (* (- x y) 2.0)))) (sqrt (* x (* (- x y) 2.0)))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0)))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0)))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- (* x x) (* y y)) 2.0)))) (* (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0))) (sqrt (* x (* (- x y) 2.0)))) (* (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (sqrt (* x (* (- x y) 2.0)))) (expm1 (* x (* (- x y) 2.0))) (log1p (* x (* (- x y) 2.0))) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (+ (log x) (+ (log (- x y)) (log 2.0))) (+ (log x) (log (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (* (* (* x x) x) (* (* (* (- x y) (- x y)) (- x y)) (* (* 2.0 2.0) 2.0))) (* (* (* x x) x) (* (* (* (- x y) 2.0) (* (- x y) 2.0)) (* (- x y) 2.0))) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (* (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (- x y)) (* (cbrt x) (* (- x y) 2.0)) (* (sqrt x) (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow x 4))) (- (+ (* +nan.0 (* (sqrt 2.0) (* y x))) (- (* +nan.0 (* (sqrt 2.0) (pow x 2)))))))) (- (* (sqrt 2.0) x) (* 1/2 (* (sqrt 2.0) y))) (- (* 1.0 (/ y (sqrt 2.0))) (* (sqrt 2.0) x)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow x 4))) (- (+ (* +nan.0 (* (sqrt 2.0) (* y x))) (- (* +nan.0 (* (sqrt 2.0) (pow x 2)))))))) (- (* (sqrt 2.0) x) (* 1/2 (* (sqrt 2.0) y))) (- (* 1.0 (/ y (sqrt 2.0))) (* (sqrt 2.0) x)) (- (* (pow (sqrt 2.0) 2) (pow x 2)) (* (pow (sqrt 2.0) 2) (* y x))) (- (* (pow (sqrt 2.0) 2) (pow x 2)) (* (pow (sqrt 2.0) 2) (* y x))) (* (pow (sqrt 2.0) 2) (pow x 2)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 1.088 * * [simplify]: iteration 0 : 328 enodes (cost 714 ) 1.095 * * [simplify]: iteration 1 : 1460 enodes (cost 635 ) 1.128 * * [simplify]: iteration 2 : 5001 enodes (cost 593 ) 1.131 * [simplify]: Simplified to: (expm1 (sqrt (* x (* (- x y) 2.0)))) (log1p (sqrt (* x (* (- x y) 2.0)))) (log (sqrt (* x (* (- x y) 2.0)))) (exp (sqrt (* x (* (- x y) 2.0)))) (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (cbrt (sqrt (* x (* (- x y) 2.0))))) (cbrt (sqrt (* x (* (- x y) 2.0)))) (pow (sqrt (* x (* (- x y) 2.0))) 3) (sqrt x) (sqrt (* (- x y) 2.0)) (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0))) (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (sqrt (+ x y)) 1/2 1/2 1/2 (sqrt (sqrt (* x (* (- x y) 2.0)))) (sqrt (sqrt (* x (* (- x y) 2.0)))) (expm1 (sqrt (* x (* (- x y) 2.0)))) (log1p (sqrt (* x (* (- x y) 2.0)))) (log (sqrt (* x (* (- x y) 2.0)))) (exp (sqrt (* x (* (- x y) 2.0)))) (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (cbrt (sqrt (* x (* (- x y) 2.0))))) (cbrt (sqrt (* x (* (- x y) 2.0)))) (pow (sqrt (* x (* (- x y) 2.0))) 3) (sqrt x) (sqrt (* (- x y) 2.0)) (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0))) (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (sqrt (+ x y)) 1/2 1/2 1/2 (sqrt (sqrt (* x (* (- x y) 2.0)))) (sqrt (sqrt (* x (* (- x y) 2.0)))) (expm1 (* x (* (- x y) 2.0))) (log1p (* x (* (- x y) 2.0))) 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 (pow (sqrt (* x (* (- x y) 2.0))) 4) (* x (* (- x y) 2.0)) (pow (sqrt (* x (* (- x y) 2.0))) 4) (pow (sqrt (* x (* (- x y) 2.0))) 4) (pow (sqrt (* x (* (- x y) 2.0))) 4) (pow (sqrt (* x (* (- x y) 2.0))) 4) (pow (sqrt (* x (* (- x y) 2.0))) 4) (pow (sqrt (* x (* (- x y) 2.0))) 4) (pow (sqrt (* x (* (- x y) 2.0))) 4) (pow (sqrt (* x (* (- x y) 2.0))) 4) (pow (sqrt (* x (* (- x y) 2.0))) 4) 2 (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (pow (sqrt (* x (* (- x y) 2.0))) 4) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (fma x x (fma y y (* x y))) (* (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0))) (sqrt (* x (* (- (* x x) (* y y)) 2.0)))) (* (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (+ x y))) (* (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0))) (sqrt (* x (* (- (* x x) (* y y)) 2.0)))) (* (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (+ x y))) (* x (* (- (* x x) (* y y)) 2.0)) (+ x y) (pow (cbrt (sqrt (* x (* (- x y) 2.0)))) 4) (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (cbrt (sqrt (* x (* (- x y) 2.0))))) x (* (- x y) 2.0) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) 1 (* x (* (- x y) 2.0)) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) 1 2 1 1 1 1 1 1 1 1 1 (* (sqrt (* x (* (- x y) 2.0))) (* (cbrt (sqrt (* x (* (- x y) 2.0)))) (cbrt (sqrt (* x (* (- x y) 2.0)))))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt x)) (pow (sqrt (sqrt (* x (* (- x y) 2.0)))) 3) (sqrt (* x (* (- x y) 2.0))) (pow (cbrt (sqrt (* x (* (- x y) 2.0)))) 4) (* (sqrt (* (- x y) 2.0)) (sqrt (* x (* (- x y) 2.0)))) (pow (sqrt (sqrt (* x (* (- x y) 2.0)))) 3) (* x (* (- x y) 2.0)) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0)))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- (* x x) (* y y)) 2.0)))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- (pow x 3) (pow y 3)) 2.0)))) (* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- (* x x) (* y y)) 2.0)))) (expm1 (* x (* (- x y) 2.0))) (log1p (* x (* (- x y) 2.0))) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (pow (* x (* (- x y) 2.0)) 3) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (- x y)) (* (cbrt x) (* (- x y) 2.0)) (* (sqrt x) (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow x 4)) (- (* x y) (pow x 2)))) (* (sqrt 2.0) (- x (* y 1/2))) (- (* 1.0 (/ y (sqrt 2.0))) (* (sqrt 2.0) x)) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow x 4)) (- (* x y) (pow x 2)))) (* (sqrt 2.0) (- x (* y 1/2))) (- (* 1.0 (/ y (sqrt 2.0))) (* (sqrt 2.0) x)) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* (* 2.0 x) x) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) 1.132 * * * [progress]: adding candidates to table 1.343 * * [progress]: iteration 4 / 4 1.343 * * * [progress]: picking best candidate 1.345 * * * * [pick]: Picked # 1.345 * * * [progress]: localizing error 1.356 * * * [progress]: generating rewritten candidates 1.356 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.383 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.395 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.400 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.409 * * * [progress]: generating series expansions 1.409 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.409 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 1.409 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [taylor]: Taking taylor expansion of (- x y) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.409 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (- x y) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of y in x 1.409 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (- x y) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of y in x 1.409 * [taylor]: Taking taylor expansion of 0 in y 1.410 * [taylor]: Taking taylor expansion of (- y) in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.412 * [taylor]: Taking taylor expansion of 1 in y 1.413 * [taylor]: Taking taylor expansion of 0 in y 1.415 * [taylor]: Taking taylor expansion of 0 in y 1.415 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 1.415 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 1.415 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.415 * [taylor]: Taking taylor expansion of x in y 1.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.415 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 1.416 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 1.417 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.417 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of 1 in y 1.419 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.419 * [taylor]: Taking taylor expansion of y in y 1.421 * [taylor]: Taking taylor expansion of 0 in y 1.424 * [taylor]: Taking taylor expansion of 0 in y 1.427 * [taylor]: Taking taylor expansion of 0 in y 1.428 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 1.428 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 1.428 * [taylor]: Taking taylor expansion of -1 in y 1.428 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 1.428 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.429 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 1.429 * [taylor]: Taking taylor expansion of -1 in x 1.429 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 1.429 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.429 * [taylor]: Taking taylor expansion of y in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 1.430 * [taylor]: Taking taylor expansion of -1 in x 1.430 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 1.430 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.430 * [taylor]: Taking taylor expansion of y in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of 1 in y 1.433 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.433 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.433 * [taylor]: Taking taylor expansion of y in y 1.436 * [taylor]: Taking taylor expansion of 0 in y 1.444 * [taylor]: Taking taylor expansion of 0 in y 1.448 * [taylor]: Taking taylor expansion of 0 in y 1.448 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.449 * [approximate]: Taking taylor expansion of (* x (sqrt (- x y))) in (x y) around 0 1.449 * [taylor]: Taking taylor expansion of (* x (sqrt (- x y))) in y 1.449 * [taylor]: Taking taylor expansion of x in y 1.449 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in y 1.449 * [taylor]: Taking taylor expansion of (- x y) in y 1.449 * [taylor]: Taking taylor expansion of x in y 1.449 * [taylor]: Taking taylor expansion of y in y 1.449 * [taylor]: Taking taylor expansion of (* x (sqrt (- x y))) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in x 1.450 * [taylor]: Taking taylor expansion of (- x y) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of y in x 1.450 * [taylor]: Taking taylor expansion of (* x (sqrt (- x y))) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in x 1.450 * [taylor]: Taking taylor expansion of (- x y) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of y in x 1.451 * [taylor]: Taking taylor expansion of 0 in y 1.451 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 1.451 * [taylor]: Taking taylor expansion of (- y) in y 1.451 * [taylor]: Taking taylor expansion of y in y 1.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- y)))) in y 1.454 * [taylor]: Taking taylor expansion of 1/2 in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- y))) in y 1.454 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 1.454 * [taylor]: Taking taylor expansion of (- y) in y 1.454 * [taylor]: Taking taylor expansion of y in y 1.462 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow (sqrt (- y)) 3)))) in y 1.462 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (sqrt (- y)) 3))) in y 1.462 * [taylor]: Taking taylor expansion of 1/8 in y 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (- y)) 3)) in y 1.462 * [taylor]: Taking taylor expansion of (pow (sqrt (- y)) 3) in y 1.462 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 1.462 * [taylor]: Taking taylor expansion of (- y) in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.493 * [approximate]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (/ 1 y))) (/ 1 x)) in (x y) around 0 1.493 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (/ 1 y))) (/ 1 x)) in y 1.493 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in y 1.493 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.493 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.493 * [taylor]: Taking taylor expansion of x in y 1.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.493 * [taylor]: Taking taylor expansion of y in y 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.495 * [taylor]: Taking taylor expansion of x in y 1.495 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (/ 1 y))) (/ 1 x)) in x 1.495 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in x 1.495 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.495 * [taylor]: Taking taylor expansion of y in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (/ 1 y))) (/ 1 x)) in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in x 1.497 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.497 * [taylor]: Taking taylor expansion of y in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of 0 in y 1.501 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.501 * [taylor]: Taking taylor expansion of +nan.0 in y 1.503 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.503 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.503 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.503 * [taylor]: Taking taylor expansion of +nan.0 in y 1.503 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.503 * [taylor]: Taking taylor expansion of y in y 1.504 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.504 * [taylor]: Taking taylor expansion of +nan.0 in y 1.509 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.509 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.509 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.509 * [taylor]: Taking taylor expansion of +nan.0 in y 1.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.509 * [taylor]: Taking taylor expansion of y in y 1.509 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.509 * [taylor]: Taking taylor expansion of +nan.0 in y 1.511 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 y) (/ 1 x))))) in (x y) around 0 1.511 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 y) (/ 1 x))))) in y 1.511 * [taylor]: Taking taylor expansion of -1 in y 1.511 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 y) (/ 1 x)))) in y 1.511 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.511 * [taylor]: Taking taylor expansion of x in y 1.512 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in y 1.512 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.512 * [taylor]: Taking taylor expansion of y in y 1.512 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.512 * [taylor]: Taking taylor expansion of x in y 1.513 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 y) (/ 1 x))))) in x 1.513 * [taylor]: Taking taylor expansion of -1 in x 1.513 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 y) (/ 1 x)))) in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in x 1.514 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.514 * [taylor]: Taking taylor expansion of y in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 y) (/ 1 x))))) in x 1.515 * [taylor]: Taking taylor expansion of -1 in x 1.515 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 y) (/ 1 x)))) in x 1.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in x 1.516 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of 0 in y 1.521 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.521 * [taylor]: Taking taylor expansion of +nan.0 in y 1.530 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.530 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.530 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.530 * [taylor]: Taking taylor expansion of +nan.0 in y 1.530 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.530 * [taylor]: Taking taylor expansion of y in y 1.530 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.530 * [taylor]: Taking taylor expansion of +nan.0 in y 1.536 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.536 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.536 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.536 * [taylor]: Taking taylor expansion of +nan.0 in y 1.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.536 * [taylor]: Taking taylor expansion of y in y 1.536 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.536 * [taylor]: Taking taylor expansion of +nan.0 in y 1.538 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.539 * [approximate]: Taking taylor expansion of (sqrt (- x y)) in (x y) around 0 1.539 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in y 1.539 * [taylor]: Taking taylor expansion of (- x y) in y 1.539 * [taylor]: Taking taylor expansion of x in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.539 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in x 1.539 * [taylor]: Taking taylor expansion of (- x y) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of y in x 1.540 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in x 1.540 * [taylor]: Taking taylor expansion of (- x y) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.541 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 1.541 * [taylor]: Taking taylor expansion of (- y) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.542 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- y))) in y 1.543 * [taylor]: Taking taylor expansion of 1/2 in y 1.543 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 1.543 * [taylor]: Taking taylor expansion of (- y) in y 1.543 * [taylor]: Taking taylor expansion of y in y 1.549 * [taylor]: Taking taylor expansion of (/ -1/8 (pow (sqrt (- y)) 3)) in y 1.549 * [taylor]: Taking taylor expansion of -1/8 in y 1.549 * [taylor]: Taking taylor expansion of (pow (sqrt (- y)) 3) in y 1.549 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 1.549 * [taylor]: Taking taylor expansion of (- y) in y 1.549 * [taylor]: Taking taylor expansion of y in y 1.579 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in (x y) around 0 1.579 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in y 1.579 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.579 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.579 * [taylor]: Taking taylor expansion of x in y 1.579 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.579 * [taylor]: Taking taylor expansion of y in y 1.581 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in x 1.581 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.582 * [taylor]: Taking taylor expansion of y in x 1.583 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in x 1.583 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.583 * [taylor]: Taking taylor expansion of y in x 1.585 * [taylor]: Taking taylor expansion of 0 in y 1.585 * [taylor]: Taking taylor expansion of +nan.0 in y 1.586 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 1.586 * [taylor]: Taking taylor expansion of +nan.0 in y 1.586 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 1.586 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.586 * [taylor]: Taking taylor expansion of y in y 1.586 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.586 * [taylor]: Taking taylor expansion of +nan.0 in y 1.589 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.589 * [taylor]: Taking taylor expansion of +nan.0 in y 1.589 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.589 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.589 * [taylor]: Taking taylor expansion of +nan.0 in y 1.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.589 * [taylor]: Taking taylor expansion of +nan.0 in y 1.590 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in (x y) around 0 1.590 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in y 1.590 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.591 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.591 * [taylor]: Taking taylor expansion of x in y 1.592 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in x 1.592 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.592 * [taylor]: Taking taylor expansion of y in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in x 1.594 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.594 * [taylor]: Taking taylor expansion of y in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of 0 in y 1.596 * [taylor]: Taking taylor expansion of +nan.0 in y 1.597 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 1.597 * [taylor]: Taking taylor expansion of +nan.0 in y 1.597 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 1.597 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.598 * [taylor]: Taking taylor expansion of y in y 1.598 * [taylor]: Taking taylor expansion of +nan.0 in y 1.600 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.600 * [taylor]: Taking taylor expansion of +nan.0 in y 1.600 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.600 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.600 * [taylor]: Taking taylor expansion of +nan.0 in y 1.600 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.600 * [taylor]: Taking taylor expansion of y in y 1.600 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.600 * [taylor]: Taking taylor expansion of +nan.0 in y 1.602 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.602 * [approximate]: Taking taylor expansion of (sqrt (- x y)) in (x y) around 0 1.602 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in y 1.602 * [taylor]: Taking taylor expansion of (- x y) in y 1.602 * [taylor]: Taking taylor expansion of x in y 1.602 * [taylor]: Taking taylor expansion of y in y 1.603 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in x 1.603 * [taylor]: Taking taylor expansion of (- x y) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of y in x 1.604 * [taylor]: Taking taylor expansion of (sqrt (- x y)) in x 1.604 * [taylor]: Taking taylor expansion of (- x y) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of y in x 1.604 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 1.604 * [taylor]: Taking taylor expansion of (- y) in y 1.604 * [taylor]: Taking taylor expansion of y in y 1.606 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- y))) in y 1.606 * [taylor]: Taking taylor expansion of 1/2 in y 1.606 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 1.606 * [taylor]: Taking taylor expansion of (- y) in y 1.606 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of (/ -1/8 (pow (sqrt (- y)) 3)) in y 1.619 * [taylor]: Taking taylor expansion of -1/8 in y 1.619 * [taylor]: Taking taylor expansion of (pow (sqrt (- y)) 3) in y 1.619 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 1.619 * [taylor]: Taking taylor expansion of (- y) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.649 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in (x y) around 0 1.649 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in y 1.649 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.649 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.649 * [taylor]: Taking taylor expansion of x in y 1.649 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.649 * [taylor]: Taking taylor expansion of y in y 1.651 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in x 1.651 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.652 * [taylor]: Taking taylor expansion of y in x 1.653 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (/ 1 y))) in x 1.653 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.654 * [taylor]: Taking taylor expansion of y in x 1.655 * [taylor]: Taking taylor expansion of 0 in y 1.655 * [taylor]: Taking taylor expansion of +nan.0 in y 1.656 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 1.656 * [taylor]: Taking taylor expansion of +nan.0 in y 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 1.656 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.656 * [taylor]: Taking taylor expansion of y in y 1.657 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.657 * [taylor]: Taking taylor expansion of +nan.0 in y 1.659 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.659 * [taylor]: Taking taylor expansion of +nan.0 in y 1.659 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.659 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.659 * [taylor]: Taking taylor expansion of +nan.0 in y 1.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.659 * [taylor]: Taking taylor expansion of y in y 1.659 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.659 * [taylor]: Taking taylor expansion of +nan.0 in y 1.661 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in (x y) around 0 1.661 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in y 1.661 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.661 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.661 * [taylor]: Taking taylor expansion of x in y 1.662 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in x 1.662 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.662 * [taylor]: Taking taylor expansion of y in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.664 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 y) (/ 1 x))) in x 1.664 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.664 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.664 * [taylor]: Taking taylor expansion of y in x 1.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.666 * [taylor]: Taking taylor expansion of 0 in y 1.666 * [taylor]: Taking taylor expansion of +nan.0 in y 1.668 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 1.668 * [taylor]: Taking taylor expansion of +nan.0 in y 1.668 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 1.668 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.668 * [taylor]: Taking taylor expansion of y in y 1.668 * [taylor]: Taking taylor expansion of +nan.0 in y 1.671 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.671 * [taylor]: Taking taylor expansion of +nan.0 in y 1.671 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.671 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.671 * [taylor]: Taking taylor expansion of +nan.0 in y 1.671 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.671 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.671 * [taylor]: Taking taylor expansion of +nan.0 in y 1.672 * * * [progress]: simplifying candidates 1.674 * [simplify]: Simplifying using # : (expm1 (* (* x (sqrt (- x y))) (sqrt (- x y)))) (log1p (* (* x (sqrt (- x y))) (sqrt (- x y)))) (* (* x (sqrt (- x y))) (sqrt (- x y))) (* (* x (sqrt (- x y))) (sqrt (- x y))) (+ (+ (log x) (log (sqrt (- x y)))) (log (sqrt (- x y)))) (+ (log (* x (sqrt (- x y)))) (log (sqrt (- x y)))) (log (* (* x (sqrt (- x y))) (sqrt (- x y)))) (exp (* (* x (sqrt (- x y))) (sqrt (- x y)))) (* (* (* (* x x) x) (* (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))) (* (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))) (* (* (* (* x (sqrt (- x y))) (* x (sqrt (- x y)))) (* x (sqrt (- x y)))) (* (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))) (* (cbrt (* (* x (sqrt (- x y))) (sqrt (- x y)))) (cbrt (* (* x (sqrt (- x y))) (sqrt (- x y))))) (cbrt (* (* x (sqrt (- x y))) (sqrt (- x y)))) (* (* (* (* x (sqrt (- x y))) (sqrt (- x y))) (* (* x (sqrt (- x y))) (sqrt (- x y)))) (* (* x (sqrt (- x y))) (sqrt (- x y)))) (sqrt (* (* x (sqrt (- x y))) (sqrt (- x y)))) (sqrt (* (* x (sqrt (- x y))) (sqrt (- x y)))) (* (* x (sqrt (- (pow x 3) (pow y 3)))) (sqrt (- (pow x 3) (pow y 3)))) (* (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (+ (* x x) (+ (* y y) (* x y))))) (* (* x (sqrt (- (pow x 3) (pow y 3)))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (+ x y))) (* (* x (sqrt (- (* x x) (* y y)))) (sqrt (- (pow x 3) (pow y 3)))) (* (sqrt (+ x y)) (sqrt (+ (* x x) (+ (* y y) (* x y))))) (* (* x (sqrt (- (* x x) (* y y)))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (* x (sqrt (- x y))) (* (cbrt (sqrt (- x y))) (cbrt (sqrt (- x y))))) (* (* x (sqrt (- x y))) (sqrt (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x (sqrt (- x y))) (sqrt (sqrt (- x y)))) (* (* x (sqrt (- x y))) (sqrt 1)) (* (* x (sqrt (- x y))) (sqrt (+ (sqrt x) (sqrt y)))) (* (* x (sqrt (- x y))) (sqrt 1)) (* (* x (sqrt (- x y))) (sqrt (sqrt (- x y)))) (* (* x (sqrt (- x y))) 1) (* (sqrt (- x y)) (sqrt (- x y))) (* (* x (sqrt (- x y))) (sqrt (- (pow x 3) (pow y 3)))) (* (* x (sqrt (- x y))) (sqrt (- (* x x) (* y y)))) (* (* x (sqrt (- (pow x 3) (pow y 3)))) (sqrt (- x y))) (* (* x (sqrt (- (* x x) (* y y)))) (sqrt (- x y))) (expm1 (* x (sqrt (- x y)))) (log1p (* x (sqrt (- x y)))) (* x (sqrt (- x y))) (+ (log x) (log (sqrt (- x y)))) (log (* x (sqrt (- x y)))) (exp (* x (sqrt (- x y)))) (* (* (* x x) x) (* (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))) (* (cbrt (* x (sqrt (- x y)))) (cbrt (* x (sqrt (- x y))))) (cbrt (* x (sqrt (- x y)))) (* (* (* x (sqrt (- x y))) (* x (sqrt (- x y)))) (* x (sqrt (- x y)))) (sqrt (* x (sqrt (- x y)))) (sqrt (* x (sqrt (- x y)))) (* (sqrt x) (sqrt (sqrt (- x y)))) (* (sqrt x) (sqrt (sqrt (- x y)))) (* (sqrt x) (sqrt (sqrt (- x y)))) (* (sqrt x) (sqrt (sqrt (- x y)))) (* x (* (cbrt (sqrt (- x y))) (cbrt (sqrt (- x y))))) (* x (sqrt (* (cbrt (- x y)) (cbrt (- x y))))) (* x (sqrt (sqrt (- x y)))) (* x (sqrt 1)) (* x (sqrt (+ (sqrt x) (sqrt y)))) (* x (sqrt 1)) (* x (sqrt (sqrt (- x y)))) (* x 1) (* (cbrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x (sqrt (- x y))) (* x (sqrt (- (pow x 3) (pow y 3)))) (* x (sqrt (- (* x x) (* y y)))) (expm1 (sqrt (- x y))) (log1p (sqrt (- x y))) (log (sqrt (- x y))) (exp (sqrt (- x y))) (* (cbrt (sqrt (- x y))) (cbrt (sqrt (- x y)))) (cbrt (sqrt (- x y))) (* (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y))) (sqrt (* (cbrt (- x y)) (cbrt (- x y)))) (sqrt (cbrt (- x y))) (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y))) (sqrt 1) (sqrt (- x y)) (sqrt (+ (sqrt x) (sqrt y))) (sqrt (- (sqrt x) (sqrt y))) (sqrt 1) (sqrt (- x y)) (sqrt (- (pow x 3) (pow y 3))) (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (+ x y)) (/ 1 2) (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y))) (expm1 (sqrt (- x y))) (log1p (sqrt (- x y))) (log (sqrt (- x y))) (exp (sqrt (- x y))) (* (cbrt (sqrt (- x y))) (cbrt (sqrt (- x y)))) (cbrt (sqrt (- x y))) (* (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y))) (sqrt (* (cbrt (- x y)) (cbrt (- x y)))) (sqrt (cbrt (- x y))) (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y))) (sqrt 1) (sqrt (- x y)) (sqrt (+ (sqrt x) (sqrt y))) (sqrt (- (sqrt x) (sqrt y))) (sqrt 1) (sqrt (- x y)) (sqrt (- (pow x 3) (pow y 3))) (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (+ x y)) (/ 1 2) (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (* x y))))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 1.679 * * [simplify]: iteration 0 : 326 enodes (cost 632 ) 1.686 * * [simplify]: iteration 1 : 1323 enodes (cost 552 ) 1.713 * * [simplify]: iteration 2 : 5001 enodes (cost 528 ) 1.716 * [simplify]: Simplified to: (expm1 (* (* x (sqrt (- x y))) (sqrt (- x y)))) (log1p (* (* x (sqrt (- x y))) (sqrt (- x y)))) (* x (- x y)) (* x (- x y)) (log (* x (- x y))) (log (* x (- x y))) (log (* x (- x y))) (pow (exp x) (- x y)) (pow (* x (- x y)) 3) (pow (* x (- x y)) 3) (* (cbrt (* (* x (sqrt (- x y))) (sqrt (- x y)))) (cbrt (* (* x (sqrt (- x y))) (sqrt (- x y))))) (cbrt (* (* x (sqrt (- x y))) (sqrt (- x y)))) (pow (* x (- x y)) 3) (sqrt (* (* x (sqrt (- x y))) (sqrt (- x y)))) (sqrt (* (* x (sqrt (- x y))) (sqrt (- x y)))) (* (- (pow x 3) (pow y 3)) x) (fma x x (fma y y (* x y))) (* (* x (sqrt (- (pow x 3) (pow y 3)))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (+ x y))) (* (* x (sqrt (- (pow x 3) (pow y 3)))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (+ x y))) (* (- (* x x) (* y y)) x) (+ x y) (* (* x (sqrt (- x y))) (* (cbrt (sqrt (- x y))) (cbrt (sqrt (- x y))))) (* x (* (sqrt (- x y)) (fabs (cbrt (- x y))))) (* (* x (sqrt (- x y))) (sqrt (sqrt (- x y)))) (* x (sqrt (- x y))) (* (* x (sqrt (- x y))) (sqrt (+ (sqrt x) (sqrt y)))) (* x (sqrt (- x y))) (* (* x (sqrt (- x y))) (sqrt (sqrt (- x y)))) (* x (sqrt (- x y))) (- x y) (* (* x (sqrt (- x y))) (sqrt (- (pow x 3) (pow y 3)))) (* (* x (sqrt (- x y))) (sqrt (- (* x x) (* y y)))) (* (* x (sqrt (- x y))) (sqrt (- (pow x 3) (pow y 3)))) (* (* x (sqrt (- x y))) (sqrt (- (* x x) (* y y)))) (expm1 (* x (sqrt (- x y)))) (log1p (* x (sqrt (- x y)))) (* x (sqrt (- x y))) (log (* x (sqrt (- x y)))) (log (* x (sqrt (- x y)))) (exp (* x (sqrt (- x y)))) (pow (* x (sqrt (- x y))) 3) (* (cbrt (* x (sqrt (- x y)))) (cbrt (* x (sqrt (- x y))))) (cbrt (* x (sqrt (- x y)))) (pow (* x (sqrt (- x y))) 3) (sqrt (* x (sqrt (- x y)))) (sqrt (* x (sqrt (- x y)))) (* (sqrt (sqrt (- x y))) (pow x 1/2)) (* (sqrt (sqrt (- x y))) (pow x 1/2)) (* (sqrt (sqrt (- x y))) (pow x 1/2)) (* (sqrt (sqrt (- x y))) (pow x 1/2)) (* x (* (cbrt (sqrt (- x y))) (cbrt (sqrt (- x y))))) (* (fabs (cbrt (- x y))) x) (* x (sqrt (sqrt (- x y)))) x (* x (sqrt (+ (sqrt x) (sqrt y)))) x (* x (sqrt (sqrt (- x y)))) x (* (cbrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x (sqrt (- x y))) (* x (sqrt (- (pow x 3) (pow y 3)))) (* x (sqrt (- (* x x) (* y y)))) (expm1 (sqrt (- x y))) (log1p (sqrt (- x y))) (log (sqrt (- x y))) (exp (sqrt (- x y))) (* (cbrt (sqrt (- x y))) (cbrt (sqrt (- x y)))) (cbrt (sqrt (- x y))) (pow (sqrt (- x y)) 3) (fabs (cbrt (- x y))) (sqrt (cbrt (- x y))) (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y))) 1 (sqrt (- x y)) (sqrt (+ (sqrt x) (sqrt y))) (sqrt (- (sqrt x) (sqrt y))) 1 (sqrt (- x y)) (sqrt (- (pow x 3) (pow y 3))) (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (+ x y)) 1/2 (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y))) (expm1 (sqrt (- x y))) (log1p (sqrt (- x y))) (log (sqrt (- x y))) (exp (sqrt (- x y))) (* (cbrt (sqrt (- x y))) (cbrt (sqrt (- x y)))) (cbrt (sqrt (- x y))) (pow (sqrt (- x y)) 3) (fabs (cbrt (- x y))) (sqrt (cbrt (- x y))) (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y))) 1 (sqrt (- x y)) (sqrt (+ (sqrt x) (sqrt y))) (sqrt (- (sqrt x) (sqrt y))) 1 (sqrt (- x y)) (sqrt (- (pow x 3) (pow y 3))) (sqrt (+ (* x x) (+ (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (+ x y)) 1/2 (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y))) (* x (- x y)) (* x (- x y)) (* x (- x y)) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) (* x y)))) (fma (- x) +nan.0 (* +nan.0 (- (/ y x) y))) (fma (- x) +nan.0 (* +nan.0 (- (/ y x) y))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- x y))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- x y))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) 1.717 * * * [progress]: adding candidates to table 2.114 * [progress]: [Phase 3 of 3] Extracting. 2.114 * * [regime]: Finding splitpoints for: (# # #) 2.115 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.115 * * * * [regimes]: Trying to branch on y from (# # #) 2.128 * * * * [regimes]: Trying to branch on x from (# # #) 2.143 * * * [regime]: Found split indices: #