5.814 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.022 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 27 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.031 * * [simplify]: iteration 3 : 113 enodes (cost 3 ) 0.034 * * [simplify]: iteration 4 : 145 enodes (cost 3 ) 0.037 * * [simplify]: iteration 5 : 165 enodes (cost 3 ) 0.041 * * [simplify]: iteration 6 : 182 enodes (cost 3 ) 0.045 * * [simplify]: iteration 7 : 184 enodes (cost 3 ) 0.048 * * [simplify]: iteration 8 : 184 enodes (cost 3 ) 0.048 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.074 * [taylor]: Taking taylor expansion of (+ x y) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.074 * [taylor]: Taking taylor expansion of (+ x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.074 * [taylor]: Taking taylor expansion of (+ x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.075 * [taylor]: Taking taylor expansion of 2 in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of 1 in y 0.077 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of 2 in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.089 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.093 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.093 * [taylor]: Taking taylor expansion of 2 in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.096 * * * [progress]: simplifying candidates 0.097 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.102 * * [simplify]: iteration 0 : 194 enodes (cost 221 ) 0.109 * * [simplify]: iteration 1 : 953 enodes (cost 194 ) 0.140 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.142 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) 6) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (+ x (- y))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (+ x (- y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (pow (cbrt (+ x y)) 4) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.142 * * * [progress]: adding candidates to table 0.200 * * [progress]: iteration 2 / 4 0.200 * * * [progress]: picking best candidate 0.207 * * * * [pick]: Picked # 0.208 * * * [progress]: localizing error 0.213 * * * [progress]: generating rewritten candidates 0.214 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.220 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.230 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.242 * * * [progress]: generating series expansions 0.242 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.242 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.242 * [taylor]: Taking taylor expansion of 2 in y 0.242 * [taylor]: Taking taylor expansion of (* x y) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.242 * [taylor]: Taking taylor expansion of 2 in x 0.242 * [taylor]: Taking taylor expansion of (* x y) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.242 * [taylor]: Taking taylor expansion of 2 in x 0.242 * [taylor]: Taking taylor expansion of (* x y) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.244 * [taylor]: Taking taylor expansion of 2 in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 1 in y 0.248 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.248 * [taylor]: Taking taylor expansion of 2 in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.248 * [taylor]: Taking taylor expansion of (* x y) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.250 * [taylor]: Taking taylor expansion of 2 in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.250 * [taylor]: Taking taylor expansion of (* x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.251 * [taylor]: Taking taylor expansion of 2 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.251 * [taylor]: Taking taylor expansion of (* x y) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of 1 in y 0.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.253 * [taylor]: Taking taylor expansion of 2 in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.257 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.257 * [taylor]: Taking taylor expansion of 2 in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.257 * [taylor]: Taking taylor expansion of (* x y) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.259 * [taylor]: Taking taylor expansion of 2 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.259 * [taylor]: Taking taylor expansion of (* x y) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.260 * [taylor]: Taking taylor expansion of 2 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.260 * [taylor]: Taking taylor expansion of (* x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of 1 in y 0.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.261 * [taylor]: Taking taylor expansion of 2 in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.265 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.265 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (+ x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (+ x y) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (+ x y) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of 0 in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [taylor]: Taking taylor expansion of 0 in x 0.269 * [taylor]: Taking taylor expansion of 0 in x 0.270 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 1 in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of 0 in x 0.282 * [taylor]: Taking taylor expansion of 0 in x 0.285 * [taylor]: Taking taylor expansion of 0 in x 0.285 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.286 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of 1 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of 0 in x 0.294 * [taylor]: Taking taylor expansion of 0 in x 0.297 * [taylor]: Taking taylor expansion of 0 in x 0.298 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.298 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (+ x y) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (+ x y) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (+ x y) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of 1 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of 1 in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.314 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of 1 in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.325 * * * [progress]: simplifying candidates 0.326 * [simplify]: Simplifying using # : (expm1 (+ (* x (+ x y)) (* y (+ x y)))) (log1p (+ (* x (+ x y)) (* y (+ x y)))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (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 x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* 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))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.332 * * [simplify]: iteration 0 : 371 enodes (cost 403 ) 0.343 * * [simplify]: iteration 1 : 2121 enodes (cost 342 ) 0.392 * * [simplify]: iteration 2 : 5002 enodes (cost 336 ) 0.394 * [simplify]: Simplified to: (expm1 (+ (* x (+ x y)) (* y (+ x y)))) (log1p (+ (* x (+ x y)) (* y (+ x y)))) (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (fma x x (* y (- y x))) (+ (* x (+ (pow x 3) (pow y 3))) (* y (+ (pow x 3) (pow y 3))))) (* (fma x x (* y (- y x))) (+ (pow x 2) (* y (- y x)))) (fma (fma x x (* y (- y x))) (* y (- (* x x) (* y y))) (* (* x (+ (pow x 3) (pow y 3))) (- x y))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (fma (fma x x (* y (- y x))) (* x (- (* x x) (* y y))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- x y) (+ (* x (- (* x x) (* y y))) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (fma x (* x (* (+ x y) (+ x y))) (* (* (+ x y) (* y (+ x y))) (- y x))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (fma x (+ x y) (* x y)) (fma x (+ x y) (* x y)) (fma y x (* y (+ x y))) (fma y x (* y (+ x y))) (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (log (* y (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (pow (* y (+ x y)) 3) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (pow (* y (+ x y)) 3) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* x y) (pow y 2) (* x y) (pow y 2) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) y y (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (fma (pow x 3) y (pow y 4)) (* y (- (* x x) (* y y))) (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))) (pow x 2) (* x y) (pow x 2) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (fma (pow y 3) x (pow x 4)) (* x (- (* x x) (* y y))) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 0.395 * * * [progress]: adding candidates to table 0.554 * * [progress]: iteration 3 / 4 0.554 * * * [progress]: picking best candidate 0.560 * * * * [pick]: Picked # 0.560 * * * [progress]: localizing error 0.567 * * * [progress]: generating rewritten candidates 0.567 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 0.568 * * * [progress]: generating series expansions 0.568 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 0.568 * [approximate]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in (x y) around 0 0.568 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in y 0.568 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow y 2)) 0.568 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in y 0.568 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.568 * [taylor]: Taking taylor expansion of 2 in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in x 0.568 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow y 2)) 0.568 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in x 0.568 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.568 * [taylor]: Taking taylor expansion of 2 in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in x 0.569 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow y 2)) 0.569 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in x 0.569 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.569 * [taylor]: Taking taylor expansion of 2 in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.570 * [taylor]: Taking taylor expansion of 2 in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.579 * [approximate]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in (x y) around 0 0.579 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in y 0.579 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (pow (/ 1 y) 2)) 0.579 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in y 0.579 * [taylor]: Taking taylor expansion of (/ 2 x) in y 0.579 * [taylor]: Taking taylor expansion of 2 in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in x 0.580 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (pow (/ 1 y) 2)) 0.580 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in x 0.580 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.580 * [taylor]: Taking taylor expansion of 2 in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in x 0.581 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (pow (/ 1 y) 2)) 0.581 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in x 0.581 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.581 * [taylor]: Taking taylor expansion of 2 in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.581 * [taylor]: Taking taylor expansion of 2 in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [approximate]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in y 0.599 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (pow (/ -1 y) 2)) 0.599 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in y 0.599 * [taylor]: Taking taylor expansion of (/ -2 x) in y 0.599 * [taylor]: Taking taylor expansion of -2 in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.599 * [taylor]: Taking taylor expansion of -1 in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 0.600 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.600 * [taylor]: Taking taylor expansion of -1 in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in x 0.600 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (pow (/ -1 y) 2)) 0.600 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in x 0.600 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.600 * [taylor]: Taking taylor expansion of -2 in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.601 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in x 0.601 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (pow (/ -1 y) 2)) 0.601 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in x 0.601 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.601 * [taylor]: Taking taylor expansion of -2 in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.601 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.602 * [taylor]: Taking taylor expansion of 2 in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.615 * * * [progress]: simplifying candidates 0.616 * [simplify]: Simplifying using # : (expm1 (fma (* 2 x) y (pow y 2))) (log1p (fma (* 2 x) y (pow y 2))) (* (* 2 x) y) (log (fma (* 2 x) y (pow y 2))) (exp (fma (* 2 x) y (pow y 2))) (* (cbrt (fma (* 2 x) y (pow y 2))) (cbrt (fma (* 2 x) y (pow y 2)))) (cbrt (fma (* 2 x) y (pow y 2))) (* (* (fma (* 2 x) y (pow y 2)) (fma (* 2 x) y (pow y 2))) (fma (* 2 x) y (pow y 2))) (sqrt (fma (* 2 x) y (pow y 2))) (sqrt (fma (* 2 x) y (pow y 2))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 0.618 * * [simplify]: iteration 0 : 30 enodes (cost 59 ) 0.620 * * [simplify]: iteration 1 : 80 enodes (cost 52 ) 0.623 * * [simplify]: iteration 2 : 379 enodes (cost 48 ) 0.633 * * [simplify]: iteration 3 : 1859 enodes (cost 47 ) 0.712 * * [simplify]: iteration 4 : 5002 enodes (cost 47 ) 0.713 * [simplify]: Simplified to: (expm1 (fma (* 2 x) y (pow y 2))) (log1p (fma (* 2 x) y (pow y 2))) (* 2 (* x y)) (log (fma (* 2 x) y (pow y 2))) (pow (exp y) (fma x 2 y)) (* (cbrt (fma (* 2 x) y (pow y 2))) (cbrt (fma (* 2 x) y (pow y 2)))) (cbrt (fma (* 2 x) y (pow y 2))) (pow (* (fma x 2 y) y) 3) (sqrt (fma (* 2 x) y (pow y 2))) (sqrt (fma (* 2 x) y (pow y 2))) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) 0.713 * * * [progress]: adding candidates to table 0.746 * * [progress]: iteration 4 / 4 0.746 * * * [progress]: picking best candidate 0.754 * * * * [pick]: Picked # 0.754 * * * [progress]: localizing error 0.760 * * * [progress]: generating rewritten candidates 0.760 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 0.764 * * * [progress]: generating series expansions 0.764 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 0.764 * [approximate]: Taking taylor expansion of (* y (fma x 2 y)) in (x y) around 0 0.764 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 0.764 * [taylor]: Rewrote expression to (+ (* x 2) y) 0.764 * [taylor]: Taking taylor expansion of (* x 2) in y 0.764 * [taylor]: Taking taylor expansion of x in y 0.764 * [taylor]: Taking taylor expansion of 2 in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 0.764 * [taylor]: Rewrote expression to (+ (* x 2) y) 0.764 * [taylor]: Taking taylor expansion of (* x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of 2 in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 0.764 * [taylor]: Rewrote expression to (+ (* x 2) y) 0.764 * [taylor]: Taking taylor expansion of (* x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of 2 in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.766 * [taylor]: Taking taylor expansion of 2 in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.767 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.772 * [approximate]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in (x y) around 0 0.772 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 0.772 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 0.772 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 0.772 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.773 * [taylor]: Taking taylor expansion of x in y 0.773 * [taylor]: Taking taylor expansion of 2 in y 0.773 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.773 * [taylor]: Taking taylor expansion of y in y 0.773 * [taylor]: Taking taylor expansion of y in y 0.773 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 0.773 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 0.774 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 0.774 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of 2 in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 0.775 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 0.775 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 0.775 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of 2 in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.776 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.776 * [taylor]: Taking taylor expansion of 2 in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [taylor]: Taking taylor expansion of 0 in y 0.787 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in (x y) around 0 0.787 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 0.787 * [taylor]: Taking taylor expansion of -1 in y 0.787 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 0.787 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 0.787 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 0.787 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 0.787 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.787 * [taylor]: Taking taylor expansion of -1 in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.787 * [taylor]: Taking taylor expansion of 2 in y 0.787 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.787 * [taylor]: Taking taylor expansion of -1 in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 0.788 * [taylor]: Taking taylor expansion of -1 in x 0.788 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 0.788 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 0.788 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 0.788 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 0.789 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.789 * [taylor]: Taking taylor expansion of -1 in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of 2 in x 0.789 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.789 * [taylor]: Taking taylor expansion of -1 in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 0.790 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 0.790 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 0.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of 2 in x 0.790 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.790 * [taylor]: Taking taylor expansion of -1 in x 0.790 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of y in x 0.791 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.791 * [taylor]: Taking taylor expansion of 2 in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.804 * * * [progress]: simplifying candidates 0.805 * [simplify]: Simplifying using # : (expm1 (* (fma x 2 y) y)) (log1p (* (fma x 2 y) y)) (* (fma x 2 y) y) (+ (log (fma x 2 y)) (log y)) (log (* (fma x 2 y) y)) (exp (* (fma x 2 y) y)) (* (* (* (fma x 2 y) (fma x 2 y)) (fma x 2 y)) (* (* y y) y)) (* (cbrt (* (fma x 2 y) y)) (cbrt (* (fma x 2 y) y))) (cbrt (* (fma x 2 y) y)) (* (* (* (fma x 2 y) y) (* (fma x 2 y) y)) (* (fma x 2 y) y)) (sqrt (* (fma x 2 y) y)) (sqrt (* (fma x 2 y) y)) (* (sqrt (fma x 2 y)) (sqrt y)) (* (sqrt (fma x 2 y)) (sqrt y)) (* (fma x 2 y) (* (cbrt y) (cbrt y))) (* (fma x 2 y) (sqrt y)) (* (fma x 2 y) 1) (* (cbrt (fma x 2 y)) y) (* (sqrt (fma x 2 y)) y) (* (fma x 2 y) y) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 0.808 * * [simplify]: iteration 0 : 78 enodes (cost 86 ) 0.811 * * [simplify]: iteration 1 : 267 enodes (cost 70 ) 0.819 * * [simplify]: iteration 2 : 1810 enodes (cost 70 ) 0.851 * * [simplify]: iteration 3 : 5002 enodes (cost 70 ) 0.852 * [simplify]: Simplified to: (expm1 (* (fma x 2 y) y)) (log1p (* (fma x 2 y) y)) (* (fma x 2 y) y) (log (* (fma x 2 y) y)) (log (* (fma x 2 y) y)) (exp (* (fma x 2 y) y)) (pow (* (fma x 2 y) y) 3) (* (cbrt (* (fma x 2 y) y)) (cbrt (* (fma x 2 y) y))) (cbrt (* (fma x 2 y) y)) (pow (* (fma x 2 y) y) 3) (sqrt (* (fma x 2 y) y)) (sqrt (* (fma x 2 y) y)) (* (sqrt (fma x 2 y)) (sqrt y)) (* (sqrt (fma x 2 y)) (sqrt y)) (* (fma x 2 y) (* (cbrt y) (cbrt y))) (* (fma x 2 y) (sqrt y)) (fma x 2 y) (* (cbrt (fma x 2 y)) y) (* (sqrt (fma x 2 y)) y) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) 0.852 * * * [progress]: adding candidates to table 0.901 * [progress]: [Phase 3 of 3] Extracting. 0.901 * * [regime]: Finding splitpoints for: (# # #) 0.902 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.902 * * * * [regimes]: Trying to branch on y from (# # #) 0.917 * * * * [regimes]: Trying to branch on x from (# # #) 0.936 * * * [regime]: Found split indices: #