8.623 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.020 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 73 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.034 * * [simplify]: iteration 6 : 131 enodes (cost 3 ) 0.034 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.054 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.058 * * * [progress]: generating series expansions 0.058 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.058 * [approximate]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in y 0.058 * [taylor]: Taking taylor expansion of 2.0 in y 0.058 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (* x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.058 * [taylor]: Taking taylor expansion of 2.0 in x 0.058 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.058 * [taylor]: Taking taylor expansion of 2.0 in x 0.058 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.060 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.061 * [taylor]: Taking taylor expansion of 2.0 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 2.0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.071 * [taylor]: Taking taylor expansion of 2.0 in y 0.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.071 * [taylor]: Taking taylor expansion of (* x y) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.072 * [taylor]: Taking taylor expansion of 2.0 in x 0.072 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.072 * [taylor]: Taking taylor expansion of (* x y) in x 0.072 * [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 (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.073 * [taylor]: Taking taylor expansion of 2.0 in x 0.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.074 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.076 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.092 * [taylor]: Taking taylor expansion of 2.0 in y 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.092 * [taylor]: Taking taylor expansion of (* x y) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.093 * [taylor]: Taking taylor expansion of 2.0 in x 0.093 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.093 * [taylor]: Taking taylor expansion of (* x y) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.094 * [taylor]: Taking taylor expansion of 2.0 in x 0.094 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.094 * [taylor]: Taking taylor expansion of (* x y) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of 2.0 in y 0.097 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.097 * [taylor]: Taking taylor expansion of 2.0 in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.111 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (* x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of (- y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.118 * [taylor]: Taking taylor expansion of (* x y) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.119 * [taylor]: Taking taylor expansion of (* x y) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.120 * [taylor]: Taking taylor expansion of (* x y) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.132 * [taylor]: Taking taylor expansion of (* x y) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.133 * [taylor]: Taking taylor expansion of (* x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.134 * [taylor]: Taking taylor expansion of (* x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of 1 in y 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * * * [progress]: simplifying candidates 0.145 * [simplify]: Simplifying using # : (expm1 (* 2.0 (- (* x x) (* x y)))) (log1p (* 2.0 (- (* x x) (* x y)))) (* 2.0 (- (* x x) (* x y))) (+ (log 2.0) (log (- (* x x) (* x y)))) (log (* 2.0 (- (* x x) (* x y)))) (exp (* 2.0 (- (* x x) (* x y)))) (* (* (* 2.0 2.0) 2.0) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y)))) (* (cbrt (* 2.0 (- (* x x) (* x y)))) (cbrt (* 2.0 (- (* x x) (* x y))))) (cbrt (* 2.0 (- (* x x) (* x y)))) (* (* (* 2.0 (- (* x x) (* x y))) (* 2.0 (- (* x x) (* x y)))) (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* 2.0 (fma x x (- (* y x)))) (* 2.0 (fma (- y) x (* y x))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* (fma x x (- (* y x))) 2.0) (* (fma (- y) x (* y x)) 2.0) (* (* x x) 2.0) (* (- (* x y)) 2.0) (* (* x x) 2.0) (* (- (* x y)) 2.0) (* 2.0 (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y))))) (* 2.0 (sqrt (- (* x x) (* x y)))) (* 2.0 1) (* 2.0 x) (* (cbrt 2.0) (- (* x x) (* x y))) (* (sqrt 2.0) (- (* x x) (* x y))) (* 2.0 (- (* x x) (* x y))) (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (* 2.0 (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (fma x x (- (* y x))) (fma (- y) x (* y x)) (expm1 (- (* x x) (* x y))) (log1p (- (* x x) (* x y))) (- (* x y)) (/ (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)) (- (* 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))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.150 * * [simplify]: iteration 0 : 182 enodes (cost 265 ) 0.154 * * [simplify]: iteration 1 : 814 enodes (cost 234 ) 0.176 * * [simplify]: iteration 2 : 4686 enodes (cost 230 ) 0.285 * * [simplify]: iteration 3 : 5001 enodes (cost 230 ) 0.287 * [simplify]: Simplified to: (expm1 (* 2.0 (- (* x x) (* x y)))) (log1p (* 2.0 (- (* x x) (* x y)))) (* (* x (- x y)) 2.0) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (pow (exp 2.0) (* x (- x y))) (pow (* (* x (- x y)) 2.0) 3) (* (cbrt (* 2.0 (- (* x x) (* x y)))) (cbrt (* 2.0 (- (* x x) (* x y))))) (cbrt (* 2.0 (- (* x x) (* x y)))) (pow (* (* x (- x y)) 2.0) 3) (sqrt (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (* x (- x y)) 2.0) (* 2.0 (fma (- y) x (* y x))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* (* x (- x y)) 2.0) (* 2.0 (fma (- y) x (* y x))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y))))) (* 2.0 (sqrt (- (* x x) (* x y)))) 2.0 (* 2.0 x) (* (* x (- x y)) (cbrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) 2.0) (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (* (* 2.0 (fma x x (* x y))) (* x (- x y))) (* x (- x y)) (fma (- y) x (* y x)) (expm1 (- (* x x) (* x y))) (log1p (- (* x x) (* x y))) (- (* x y)) (pow (exp x) (- x y)) (log (- (* x x) (* x y))) (pow (exp x) (- x y)) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (pow (* x (- x y)) 3) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (fma (* x (* x y)) (+ x y) (pow x 4)) (- (* x y)) (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y)) (- x y) (- (* x y)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.287 * * * [progress]: adding candidates to table 0.374 * * [progress]: iteration 2 / 4 0.374 * * * [progress]: picking best candidate 0.375 * * * * [pick]: Picked # 0.376 * * * [progress]: localizing error 0.381 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.396 * * * [progress]: generating series expansions 0.396 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.397 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.397 * [taylor]: Taking taylor expansion of 2.0 in y 0.397 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (- x y) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.397 * [taylor]: Taking taylor expansion of 2.0 in x 0.397 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (- x y) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.397 * [taylor]: Taking taylor expansion of 2.0 in x 0.397 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (- x y) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.399 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.399 * [taylor]: Taking taylor expansion of 2.0 in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 2.0 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.408 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.408 * [taylor]: Taking taylor expansion of 2.0 in y 0.408 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.409 * [taylor]: Taking taylor expansion of 2.0 in x 0.409 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.413 * [taylor]: Taking taylor expansion of 2.0 in x 0.413 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.413 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of 2.0 in y 0.415 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.415 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.415 * [taylor]: Taking taylor expansion of 2.0 in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.428 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.428 * [taylor]: Taking taylor expansion of -2.0 in y 0.428 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.429 * [taylor]: Taking taylor expansion of -2.0 in x 0.429 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.429 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.430 * [taylor]: Taking taylor expansion of -2.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.430 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of 2.0 in y 0.433 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.433 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.434 * [taylor]: Taking taylor expansion of 2.0 in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.447 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 x) (- x y))) (log1p (* (* 2.0 x) (- x y))) (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y)) (+ (+ (log 2.0) (log x)) (log (- x y))) (+ (log (* 2.0 x)) (log (- x y))) (log (* (* 2.0 x) (- x y))) (exp (* (* 2.0 x) (- x y))) (* (* (* (* 2.0 2.0) 2.0) (* (* x x) x)) (* (* (- x y) (- x y)) (- x y))) (* (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (* 2.0 x) (- x y))) (cbrt (* (* 2.0 x) (- x y)))) (cbrt (* (* 2.0 x) (- x y))) (* (* (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y))) (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))) (* (* 2.0 x) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (* 2.0 x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (* 2.0 x) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* (* 2.0 x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (* 2.0 x) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* (* 2.0 x) (fma (- y) 1 (* y 1))) (* (* 2.0 x) (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (* 2.0 x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (* 2.0 x) (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* (* 2.0 x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (* 2.0 x) (fma (sqrt x) (sqrt x) (- (* y 1)))) (* (* 2.0 x) (fma (- y) 1 (* y 1))) (* (* 2.0 x) (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (* 2.0 x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (* 2.0 x) (fma 1 x (- (* (sqrt y) (sqrt y))))) (* (* 2.0 x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (* 2.0 x) (fma 1 x (- (* y 1)))) (* (* 2.0 x) (fma (- y) 1 (* y 1))) (* (* 2.0 x) x) (* (* 2.0 x) (- y)) (* (* 2.0 x) x) (* (* 2.0 x) (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (* 2.0 x)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (* 2.0 x)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) (* 2.0 x)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (* 2.0 x)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (* 2.0 x)) (* (fma (- y) 1 (* y 1)) (* 2.0 x)) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (* 2.0 x)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (* 2.0 x)) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) (* 2.0 x)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (* 2.0 x)) (* (fma (sqrt x) (sqrt x) (- (* y 1))) (* 2.0 x)) (* (fma (- y) 1 (* y 1)) (* 2.0 x)) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (* 2.0 x)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (* 2.0 x)) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) (* 2.0 x)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (* 2.0 x)) (* (fma 1 x (- (* y 1))) (* 2.0 x)) (* (fma (- y) 1 (* y 1)) (* 2.0 x)) (* x (* 2.0 x)) (* (- y) (* 2.0 x)) (* x (* 2.0 x)) (* (- y) (* 2.0 x)) (* (* 2.0 x) (* (cbrt (- x y)) (cbrt (- x y)))) (* (* 2.0 x) (sqrt (- x y))) (* (* 2.0 x) 1) (* (* 2.0 x) (+ (sqrt x) (sqrt y))) (* (* 2.0 x) 1) (* x (- x y)) (* (* 2.0 x) (- (pow x 3) (pow y 3))) (* (* 2.0 x) (- (* x x) (* y 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))) 0.453 * * [simplify]: iteration 0 : 297 enodes (cost 433 ) 0.460 * * [simplify]: iteration 1 : 1306 enodes (cost 284 ) 0.489 * * [simplify]: iteration 2 : 5001 enodes (cost 272 ) 0.491 * [simplify]: Simplified to: (expm1 (* (* 2.0 x) (- x y))) (log1p (* (* 2.0 x) (- x y))) (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y)) (log (* (* 2.0 x) (- x y))) (log (* (* 2.0 x) (- x y))) (log (* (* 2.0 x) (- x y))) (exp (* (* 2.0 x) (- x y))) (pow (* (* 2.0 x) (- x y)) 3) (pow (* (* 2.0 x) (- x y)) 3) (* (cbrt (* (* 2.0 x) (- x y))) (cbrt (* (* 2.0 x) (- x y)))) (cbrt (* (* 2.0 x) (- x y))) (pow (* (* 2.0 x) (- x y)) 3) (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))) (* (+ (* 2.0 (pow (cbrt x) 3)) (* (- y) 2.0)) x) (* (* (fma (- y) 1 y) x) 2.0) (* (+ (* 2.0 (pow (cbrt x) 3)) (* (- y) 2.0)) x) (* (* (fma (- y) 1 y) x) 2.0) (* (+ (* 2.0 (pow (cbrt x) 3)) (* (- y) 2.0)) x) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) x) (* (* 2.0 x) (- y)) (* (* 2.0 x) x) (* (* 2.0 x) (- y)) (* (+ (* 2.0 (pow (cbrt x) 3)) (* (- y) 2.0)) x) (* (* (fma (- y) 1 y) x) 2.0) (* (+ (* 2.0 (pow (cbrt x) 3)) (* (- y) 2.0)) x) (* (* (fma (- y) 1 y) x) 2.0) (* (+ (* 2.0 (pow (cbrt x) 3)) (* (- y) 2.0)) x) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) (- x y)) (* (* (fma (- y) 1 y) x) 2.0) (* (* 2.0 x) x) (* (* 2.0 x) (- y)) (* (* 2.0 x) x) (* (* 2.0 x) (- y)) (* (* 2.0 x) (* (cbrt (- x y)) (cbrt (- x y)))) (* (* 2.0 x) (sqrt (- x y))) (* 2.0 x) (* (* 2.0 x) (+ (sqrt x) (sqrt y))) (* 2.0 x) (* x (- x y)) (* (* 2.0 x) (- (pow x 3) (pow y 3))) (* (* 2.0 x) (- (* x x) (* y y))) (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y)) 0.491 * * * [progress]: adding candidates to table 0.537 * [progress]: [Phase 3 of 3] Extracting. 0.537 * * [regime]: Finding splitpoints for: (# #) 0.537 * * * [regime-changes]: Trying 4 branch expressions: ((- (* x x) (* x y)) (* 2.0 (- (* x x) (* x y))) y x) 0.537 * * * * [regimes]: Trying to branch on (- (* x x) (* x y)) from (# #) 0.548 * * * * [regimes]: Trying to branch on (* 2.0 (- (* x x) (* x y))) from (# #) 0.562 * * * * [regimes]: Trying to branch on y from (# #) 0.573 * * * * [regimes]: Trying to branch on x from (# #) 0.584 * * * [regime]: Found split indices: #