9.172 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* 2.0 (+ (* x x) (* x y))) 0.018 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.019 * * [simplify]: iteration 1 : 19 enodes (cost 7 ) 0.022 * * [simplify]: iteration 2 : 39 enodes (cost 7 ) 0.028 * * [simplify]: iteration 3 : 58 enodes (cost 7 ) 0.037 * * [simplify]: iteration 4 : 64 enodes (cost 7 ) 0.049 * * [simplify]: iteration done : 64 enodes (cost 7 ) 0.050 * [simplify]: Simplified to: (* (* x (+ x y)) 2.0) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.070 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (+ x y) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (+ x y) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (+ x y) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 1 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.086 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * * * [progress]: simplifying candidates 0.098 * [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 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) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.100 * * [simplify]: iteration 0 : 46 enodes (cost 206 ) 0.112 * * [simplify]: iteration 1 : 125 enodes (cost 193 ) 0.141 * * [simplify]: iteration 2 : 345 enodes (cost 175 ) 0.280 * * [simplify]: iteration 3 : 1114 enodes (cost 174 ) 2.173 * * [simplify]: iteration 4 : 4632 enodes (cost 174 ) 4.269 * * [simplify]: iteration done : 5000 enodes (cost 174 ) 4.269 * [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))) (* x x) (* y x) (* x x) (* y x) (* 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 x (pow y 3) (pow x 4)) (* x (- (* x x) (* y y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 4.269 * * * [progress]: adding candidates to table 4.315 * * [progress]: iteration 2 / 4 4.315 * * * [progress]: picking best candidate 4.316 * * * * [pick]: Picked # 4.316 * * * [progress]: localizing error 4.322 * * * [progress]: generating rewritten candidates 4.322 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 4.325 * * * [progress]: generating series expansions 4.325 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 4.326 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 4.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 4.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.326 * [taylor]: Taking taylor expansion of x in y 4.326 * [taylor]: Taking taylor expansion of (* x y) in y 4.326 * [taylor]: Taking taylor expansion of x in y 4.326 * [taylor]: Taking taylor expansion of y in y 4.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 4.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.326 * [taylor]: Taking taylor expansion of (* x y) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.326 * [taylor]: Taking taylor expansion of y in x 4.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 4.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.326 * [taylor]: Taking taylor expansion of (* x y) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.326 * [taylor]: Taking taylor expansion of y in x 4.326 * [taylor]: Taking taylor expansion of 0 in y 4.327 * [taylor]: Taking taylor expansion of y in y 4.328 * [taylor]: Taking taylor expansion of 1 in y 4.329 * [taylor]: Taking taylor expansion of 0 in y 4.331 * [taylor]: Taking taylor expansion of 0 in y 4.331 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 4.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 4.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.331 * [taylor]: Taking taylor expansion of x in y 4.331 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.332 * [taylor]: Taking taylor expansion of (* x y) in y 4.332 * [taylor]: Taking taylor expansion of x in y 4.332 * [taylor]: Taking taylor expansion of y in y 4.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 4.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.332 * [taylor]: Taking taylor expansion of x in x 4.332 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.332 * [taylor]: Taking taylor expansion of (* x y) in x 4.332 * [taylor]: Taking taylor expansion of x in x 4.332 * [taylor]: Taking taylor expansion of y in x 4.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 4.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.333 * [taylor]: Taking taylor expansion of x in x 4.333 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.333 * [taylor]: Taking taylor expansion of (* x y) in x 4.333 * [taylor]: Taking taylor expansion of x in x 4.333 * [taylor]: Taking taylor expansion of y in x 4.334 * [taylor]: Taking taylor expansion of 1 in y 4.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.335 * [taylor]: Taking taylor expansion of y in y 4.337 * [taylor]: Taking taylor expansion of 0 in y 4.342 * [taylor]: Taking taylor expansion of 0 in y 4.345 * [taylor]: Taking taylor expansion of 0 in y 4.345 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 4.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 4.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.346 * [taylor]: Taking taylor expansion of x in y 4.346 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.346 * [taylor]: Taking taylor expansion of (* x y) in y 4.346 * [taylor]: Taking taylor expansion of x in y 4.346 * [taylor]: Taking taylor expansion of y in y 4.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 4.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.346 * [taylor]: Taking taylor expansion of x in x 4.347 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.347 * [taylor]: Taking taylor expansion of (* x y) in x 4.347 * [taylor]: Taking taylor expansion of x in x 4.347 * [taylor]: Taking taylor expansion of y in x 4.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 4.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.347 * [taylor]: Taking taylor expansion of x in x 4.348 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.348 * [taylor]: Taking taylor expansion of (* x y) in x 4.348 * [taylor]: Taking taylor expansion of x in x 4.348 * [taylor]: Taking taylor expansion of y in x 4.348 * [taylor]: Taking taylor expansion of 1 in y 4.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.349 * [taylor]: Taking taylor expansion of y in y 4.351 * [taylor]: Taking taylor expansion of 0 in y 4.354 * [taylor]: Taking taylor expansion of 0 in y 4.357 * [taylor]: Taking taylor expansion of 0 in y 4.357 * * * [progress]: simplifying candidates 4.358 * [simplify]: Simplifying using # : (expm1 (+ (* x x) (* y x))) (log1p (+ (* x x) (* y x))) (* (exp (* x x)) (exp (* y x))) (log (+ (* x x) (* y x))) (exp (+ (* x x) (* y x))) (* (cbrt (+ (* x x) (* y x))) (cbrt (+ (* x x) (* y x)))) (cbrt (+ (* x x) (* y x))) (* (* (+ (* x x) (* y x)) (+ (* x x) (* y x))) (+ (* x x) (* y x))) (sqrt (+ (* x x) (* y x))) (sqrt (+ (* x x) (* y x))) (+ (pow (* x x) 3) (pow (* y x) 3)) (+ (* (* x x) (* x x)) (- (* (* y x) (* y x)) (* (* x x) (* y x)))) (- (* (* x x) (* x x)) (* (* y x) (* y x))) (- (* x x) (* y x)) (+ x y) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 4.359 * * [simplify]: iteration 0 : 33 enodes (cost 185 ) 4.366 * * [simplify]: iteration 1 : 107 enodes (cost 141 ) 4.415 * * [simplify]: iteration 2 : 385 enodes (cost 123 ) 4.572 * * [simplify]: iteration 3 : 1117 enodes (cost 123 ) 5.179 * * [simplify]: iteration 4 : 2826 enodes (cost 123 ) 6.628 * * [simplify]: iteration done : 5001 enodes (cost 123 ) 6.628 * [simplify]: Simplified to: (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (exp (* x (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (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))) (+ (pow x 6) (pow (* y x) 3)) (fma (* x y) (* x (- y x)) (pow x 4)) (* (* x (+ x y)) (* x (- x y))) (* x (- x y)) (+ x y) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 6.628 * * * [progress]: adding candidates to table 6.669 * [progress]: [Phase 3 of 3] Extracting. 6.669 * * [regime]: Finding splitpoints for: (# #) 6.669 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.669 * * * * [regimes]: Trying to branch on y from (# #) 6.688 * * * * [regimes]: Trying to branch on x from (# #) 6.701 * * * [regime]: Found split indices: #