13.134 * [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 : 13 enodes (cost 7 ) 0.021 * * [simplify]: iteration 2 : 32 enodes (cost 7 ) 0.026 * * [simplify]: iteration 3 : 58 enodes (cost 7 ) 0.036 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.052 * * [simplify]: iteration 5 : 81 enodes (cost 7 ) 0.066 * * [simplify]: iteration done : 81 enodes (cost 7 ) 0.066 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.076 * * * [progress]: generating rewritten candidates 0.076 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.079 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (* x y) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (* x y) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of (- y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.087 * [taylor]: Taking taylor expansion of (* x y) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.088 * [taylor]: Taking taylor expansion of (* x y) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.089 * [taylor]: Taking taylor expansion of (* x y) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.090 * [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 (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.100 * [taylor]: Taking taylor expansion of (* x y) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.101 * [taylor]: Taking taylor expansion of (* x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.102 * [taylor]: Taking taylor expansion of (* x y) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of 1 in y 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.117 * * * [progress]: simplifying candidates 0.117 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp (* x y))) (log (- (* x x) (* x y))) (exp (- (* x x) (* x y))) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* x y)) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (+ (* x x) (* x y)) (- x y) (- (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.118 * * [simplify]: iteration 0 : 31 enodes (cost 177 ) 0.125 * * [simplify]: iteration 1 : 89 enodes (cost 136 ) 0.156 * * [simplify]: iteration 2 : 305 enodes (cost 120 ) 0.252 * * [simplify]: iteration 3 : 843 enodes (cost 120 ) 0.662 * * [simplify]: iteration 4 : 2110 enodes (cost 120 ) 1.905 * * [simplify]: iteration done : 5000 enodes (cost 120 ) 1.905 * [simplify]: Simplified to: (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 (* x y) 3)) (+ (* (* x y) (* x (+ x y))) (pow x 4)) (- (* x y)) (* (* x (+ x y)) (* x (- x y))) (* x (+ x y)) (- x y) (- (* x y)) (* x (- x y)) (* x (- x y)) (* x (- x y)) 1.905 * * * [progress]: adding candidates to table 1.932 * * [progress]: iteration 2 / 4 1.932 * * * [progress]: picking best candidate 1.933 * * * * [pick]: Picked # 1.933 * * * [progress]: localizing error 1.937 * * * [progress]: generating rewritten candidates 1.937 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.947 * * * [progress]: generating series expansions 1.947 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.947 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 1.947 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 1.947 * [taylor]: Taking taylor expansion of x in y 1.947 * [taylor]: Taking taylor expansion of (- x y) in y 1.947 * [taylor]: Taking taylor expansion of x in y 1.948 * [taylor]: Taking taylor expansion of y in y 1.948 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [taylor]: Taking taylor expansion of (- x y) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [taylor]: Taking taylor expansion of y in x 1.948 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [taylor]: Taking taylor expansion of (- x y) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [taylor]: Taking taylor expansion of y in x 1.948 * [taylor]: Taking taylor expansion of 0 in y 1.949 * [taylor]: Taking taylor expansion of (- y) in y 1.949 * [taylor]: Taking taylor expansion of y in y 1.950 * [taylor]: Taking taylor expansion of 1 in y 1.952 * [taylor]: Taking taylor expansion of 0 in y 1.953 * [taylor]: Taking taylor expansion of 0 in y 1.954 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 1.954 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 1.954 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.954 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.954 * [taylor]: Taking taylor expansion of x in y 1.954 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.954 * [taylor]: Taking taylor expansion of y in y 1.954 * [taylor]: Taking taylor expansion of x in y 1.955 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 1.955 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.955 * [taylor]: Taking taylor expansion of y in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 1.955 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.956 * [taylor]: Taking taylor expansion of y in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of 1 in y 1.957 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.957 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.957 * [taylor]: Taking taylor expansion of y in y 1.960 * [taylor]: Taking taylor expansion of 0 in y 1.962 * [taylor]: Taking taylor expansion of 0 in y 1.966 * [taylor]: Taking taylor expansion of 0 in y 1.966 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 1.966 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 1.966 * [taylor]: Taking taylor expansion of -1 in y 1.966 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 1.966 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.966 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.966 * [taylor]: Taking taylor expansion of y in y 1.967 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.967 * [taylor]: Taking taylor expansion of x in y 1.967 * [taylor]: Taking taylor expansion of x in y 1.967 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 1.967 * [taylor]: Taking taylor expansion of -1 in x 1.967 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 1.967 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.967 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.967 * [taylor]: Taking taylor expansion of y in x 1.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.968 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 1.968 * [taylor]: Taking taylor expansion of -1 in x 1.968 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 1.968 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.968 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.968 * [taylor]: Taking taylor expansion of y in x 1.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.969 * [taylor]: Taking taylor expansion of 1 in y 1.971 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.971 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.971 * [taylor]: Taking taylor expansion of y in y 1.974 * [taylor]: Taking taylor expansion of 0 in y 1.977 * [taylor]: Taking taylor expansion of 0 in y 1.982 * [taylor]: Taking taylor expansion of 0 in y 1.982 * * * [progress]: simplifying candidates 1.983 * [simplify]: Simplifying using # : (* 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) (* x (- y)) (* 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))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 1.984 * * [simplify]: iteration 0 : 49 enodes (cost 217 ) 1.998 * * [simplify]: iteration 1 : 109 enodes (cost 210 ) 2.017 * * [simplify]: iteration 2 : 269 enodes (cost 186 ) 2.105 * * [simplify]: iteration 3 : 778 enodes (cost 186 ) 3.014 * * [simplify]: iteration 4 : 2945 enodes (cost 186 ) 4.436 * * [simplify]: iteration done : 5000 enodes (cost 186 ) 4.436 * [simplify]: Simplified to: (* (- x y) x) (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 x) (* (- y) x) (* x x) (* (- y) x) (* 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 y) x) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (- x y) x) (* (- x y) x) (* (- x y) x) 4.436 * * * [progress]: adding candidates to table 4.479 * [progress]: [Phase 3 of 3] Extracting. 4.479 * * [regime]: Finding splitpoints for: (# #) 4.479 * * * [regime-changes]: Trying 4 branch expressions: ((- (* x x) (* x y)) (* 2.0 (- (* x x) (* x y))) y x) 4.479 * * * * [regimes]: Trying to branch on (- (* x x) (* x y)) from (# #) 4.489 * * * * [regimes]: Trying to branch on (* 2.0 (- (* x x) (* x y))) from (# #) 4.500 * * * * [regimes]: Trying to branch on y from (# #) 4.512 * * * * [regimes]: Trying to branch on x from (# #) 4.522 * * * [regime]: Found split indices: #