45.544 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.023 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.030 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.032 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.033 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.033 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.048 * [taylor]: Taking taylor expansion of (+ x y) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.048 * [taylor]: Taking taylor expansion of (+ x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.048 * [taylor]: Taking taylor expansion of (+ x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.048 * [taylor]: Taking taylor expansion of 2 in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.049 * [taylor]: Taking taylor expansion of 2 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.050 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of 2 in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * * * [progress]: simplifying candidates 0.052 * [simplify]: Simplifying using # : (+ 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)))) 0.056 * * [simplify]: iteration 0 : 189 enodes (cost 213 ) 0.060 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.088 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.089 * [simplify]: Simplified to: 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))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- (* 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)) 0.090 * * * [progress]: adding candidates to table 0.120 * * [progress]: iteration 2 / 4 0.120 * * * [progress]: picking best candidate 0.124 * * * * [pick]: Picked # 0.124 * * * [progress]: localizing error 0.129 * * * [progress]: generating rewritten candidates 0.129 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.135 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.142 * * * [progress]: generating series expansions 0.142 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.142 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.142 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (+ x y) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (+ x y) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (+ x y) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of 0 in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 1 in x 0.143 * [taylor]: Taking taylor expansion of 0 in x 0.143 * [taylor]: Taking taylor expansion of 0 in x 0.143 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.143 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of 1 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of 0 in x 0.144 * [taylor]: Taking taylor expansion of 0 in x 0.145 * [taylor]: Taking taylor expansion of 0 in x 0.145 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.145 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of 1 in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of 0 in x 0.146 * [taylor]: Taking taylor expansion of 0 in x 0.146 * [taylor]: Taking taylor expansion of 0 in x 0.146 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.147 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.147 * [taylor]: Taking taylor expansion of 2 in y 0.147 * [taylor]: Taking taylor expansion of (* x y) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.147 * [taylor]: Taking taylor expansion of 2 in x 0.147 * [taylor]: Taking taylor expansion of (* x y) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.147 * [taylor]: Taking taylor expansion of 2 in x 0.147 * [taylor]: Taking taylor expansion of (* x y) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.148 * [taylor]: Taking taylor expansion of 2 in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.149 * [taylor]: Taking taylor expansion of 2 in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.149 * [taylor]: Taking taylor expansion of (* x y) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.149 * [taylor]: Taking taylor expansion of 2 in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.149 * [taylor]: Taking taylor expansion of (* x y) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.149 * [taylor]: Taking taylor expansion of 2 in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.149 * [taylor]: Taking taylor expansion of (* x y) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.150 * [taylor]: Taking taylor expansion of 2 in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.151 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.151 * [taylor]: Taking taylor expansion of 2 in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.151 * [taylor]: Taking taylor expansion of (* x y) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.151 * [taylor]: Taking taylor expansion of 2 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.151 * [taylor]: Taking taylor expansion of (* x y) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.152 * [taylor]: Taking taylor expansion of 2 in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.152 * [taylor]: Taking taylor expansion of (* x y) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.152 * [taylor]: Taking taylor expansion of 2 in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.153 * * * [progress]: simplifying candidates 0.153 * [simplify]: Simplifying using # : (* 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))) (* (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))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* 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)))) 0.157 * * [simplify]: iteration 0 : 303 enodes (cost 306 ) 0.164 * * [simplify]: iteration 1 : 1610 enodes (cost 257 ) 0.198 * * [simplify]: iteration 2 : 5002 enodes (cost 255 ) 0.200 * [simplify]: Simplified to: (* 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))) (* y x) (pow y 2) (* y x) (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)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y 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)) (* (+ (* y (- y x)) (pow x 2)) (+ (* y (+ (pow x 3) (pow y 3))) (* x (+ (pow x 3) (pow y 3))))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- x y) (+ (* y (- (* x x) (* y y))) (* x (- (* x x) (* y y))))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (+ (* (* y (+ x y)) (- (* y (+ x y)) (* x (+ x y)))) (* (* x (+ x y)) (* x (+ x y)))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* y (+ x y)) (* y (+ 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)))) 0.200 * * * [progress]: adding candidates to table 0.243 * * [progress]: iteration 3 / 4 0.243 * * * [progress]: picking best candidate 0.246 * * * * [pick]: Picked # 0.246 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.258 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.269 * * * [progress]: generating series expansions 0.269 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.269 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* x y)) in (y x) around 0 0.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (* x y) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (* x y) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (* x y) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 0 in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of 1 in x 0.270 * [taylor]: Taking taylor expansion of 0 in x 0.270 * [taylor]: Taking taylor expansion of 0 in x 0.270 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (y x) around 0 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.270 * [taylor]: Taking taylor expansion of (* x y) 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 (pow y 2)) (/ 1 (* x y))) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.270 * [taylor]: Taking taylor expansion of (* x y) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.271 * [taylor]: Taking taylor expansion of (* x y) 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 in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of 0 in x 0.271 * [taylor]: Taking taylor expansion of 0 in x 0.272 * [taylor]: Taking taylor expansion of 0 in x 0.272 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (y x) around 0 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.272 * [taylor]: Taking taylor expansion of (* x y) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.272 * [taylor]: Taking taylor expansion of (* x y) 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 (pow y 2)) (/ 1 (* x y))) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.273 * [taylor]: Taking taylor expansion of (* x y) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [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 0.273 * [taylor]: Taking taylor expansion of 0 in x 0.273 * [taylor]: Taking taylor expansion of 0 in x 0.274 * [taylor]: Taking taylor expansion of 0 in x 0.274 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.274 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.274 * [taylor]: Taking taylor expansion of 2 in y 0.274 * [taylor]: Taking taylor expansion of (* x y) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.275 * [taylor]: Taking taylor expansion of 2 in x 0.275 * [taylor]: Taking taylor expansion of (* x y) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.275 * [taylor]: Taking taylor expansion of 2 in x 0.275 * [taylor]: Taking taylor expansion of (* x y) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.275 * [taylor]: Taking taylor expansion of 2 in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 1 in y 0.276 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.276 * [taylor]: Taking taylor expansion of 2 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.276 * [taylor]: Taking taylor expansion of (* x y) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.276 * [taylor]: Taking taylor expansion of 2 in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.276 * [taylor]: Taking taylor expansion of (* x y) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.277 * [taylor]: Taking taylor expansion of 2 in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.277 * [taylor]: Taking taylor expansion of (* x y) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of 1 in y 0.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.277 * [taylor]: Taking taylor expansion of 2 in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.278 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.278 * [taylor]: Taking taylor expansion of 2 in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.278 * [taylor]: Taking taylor expansion of (* x y) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.279 * [taylor]: Taking taylor expansion of 2 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.279 * [taylor]: Taking taylor expansion of (* x y) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.279 * [taylor]: Taking taylor expansion of 2 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.279 * [taylor]: Taking taylor expansion of (* x y) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.279 * [taylor]: Taking taylor expansion of 2 in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * * * [progress]: simplifying candidates 0.281 * [simplify]: Simplifying using # : (* (exp (* y x)) (exp (pow y 2))) (log (+ (* y x) (pow y 2))) (exp (+ (* y x) (pow y 2))) (* (cbrt (+ (* y x) (pow y 2))) (cbrt (+ (* y x) (pow y 2)))) (cbrt (+ (* y x) (pow y 2))) (* (* (+ (* y x) (pow y 2)) (+ (* y x) (pow y 2))) (+ (* y x) (pow y 2))) (sqrt (+ (* y x) (pow y 2))) (sqrt (+ (* y x) (pow y 2))) (+ (pow (* y x) 3) (pow (pow y 2) 3)) (+ (* (* y x) (* y x)) (- (* (pow y 2) (pow y 2)) (* (* y x) (pow y 2)))) (- (* (* y x) (* y x)) (* (pow y 2) (pow y 2))) (- (* y x) (pow y 2)) (+ x y) (* (exp (* x (+ x y))) (* (exp (* y x)) (exp (pow y 2)))) (* (exp (* x (+ x y))) (exp (+ (* y x) (pow y 2)))) (log (+ (* x (+ x y)) (+ (* y x) (pow y 2)))) (exp (+ (* x (+ x y)) (+ (* y x) (pow y 2)))) (* (cbrt (+ (* x (+ x y)) (+ (* y x) (pow y 2)))) (cbrt (+ (* x (+ x y)) (+ (* y x) (pow y 2))))) (cbrt (+ (* x (+ x y)) (+ (* y x) (pow y 2)))) (* (* (+ (* x (+ x y)) (+ (* y x) (pow y 2))) (+ (* x (+ x y)) (+ (* y x) (pow y 2)))) (+ (* x (+ x y)) (+ (* y x) (pow y 2)))) (sqrt (+ (* x (+ x y)) (+ (* y x) (pow y 2)))) (sqrt (+ (* x (+ x y)) (+ (* y x) (pow y 2)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* (* y x) (* y x)) (- (* (pow y 2) (pow y 2)) (* (* y x) (pow y 2))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (pow (* y x) 3) (pow (pow y 2) 3)))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (* y x) (* y x)) (- (* (pow y 2) (pow y 2)) (* (* y x) (pow y 2))))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- (* y x) (pow y 2))) (* (+ (* x x) (- (* y y) (* x y))) (- (* (* y x) (* y x)) (* (pow y 2) (pow y 2))))) (* (+ (* x x) (- (* y y) (* x y))) (- (* y x) (pow y 2))) (+ (* (* x (- (* x x) (* y y))) (+ (* (* y x) (* y x)) (- (* (pow y 2) (pow y 2)) (* (* y x) (pow y 2))))) (* (- x y) (+ (pow (* y x) 3) (pow (pow y 2) 3)))) (* (- x y) (+ (* (* y x) (* y x)) (- (* (pow y 2) (pow y 2)) (* (* y x) (pow y 2))))) (+ (* (* x (- (* x x) (* y y))) (- (* y x) (pow y 2))) (* (- x y) (- (* (* y x) (* y x)) (* (pow y 2) (pow y 2))))) (* (- x y) (- (* y x) (pow y 2))) (+ (pow (* x (+ x y)) 3) (pow (+ (* y x) (pow y 2)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (+ (* y x) (pow y 2)) (+ (* y x) (pow y 2))) (* (* x (+ x y)) (+ (* y x) (pow y 2))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (+ (* y x) (pow y 2)) (+ (* y x) (pow y 2)))) (- (* x (+ x y)) (+ (* y x) (pow y 2))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x y) (+ (* y x) (pow y 2))) (+ (* y x) (+ (* y x) (pow y 2))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* 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)))) 0.285 * * [simplify]: iteration 0 : 307 enodes (cost 356 ) 0.292 * * [simplify]: iteration 1 : 1479 enodes (cost 320 ) 0.324 * * [simplify]: iteration 2 : 5001 enodes (cost 290 ) 0.326 * [simplify]: Simplified to: (pow (exp y) (+ x y)) (log (+ (* y x) (pow y 2))) (pow (exp y) (+ x y)) (* (cbrt (+ (* y x) (pow y 2))) (cbrt (+ (* y x) (pow y 2)))) (cbrt (+ (* y x) (pow y 2))) (pow (* y (+ x y)) 3) (sqrt (+ (* y x) (pow y 2))) (sqrt (+ (* y x) (pow y 2))) (+ (pow (* y x) 3) (pow (pow y 2) 3)) (* (pow y 2) (+ (pow x 2) (* y (- y x)))) (* (pow y 2) (- (pow x 2) (pow y 2))) (* y (- x y)) (+ x y) (pow (exp (+ x y)) (+ x y)) (pow (exp (+ x y)) (+ x y)) (+ (log (+ x y)) (log (+ x y))) (pow (exp (+ x y)) (+ x y)) (* (cbrt (+ (* x (+ x y)) (+ (* y x) (pow y 2)))) (cbrt (+ (* x (+ x y)) (+ (* y x) (pow y 2))))) (cbrt (+ (* x (+ x y)) (+ (* y x) (pow y 2)))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (+ (* (+ (* x x) (- (* y y) (* x y))) (+ (pow (* y x) 3) (pow (pow y 2) 3))) (* x (* (+ (pow x 3) (pow y 3)) (- (+ (* (* y x) (* y x)) (pow y 4)) (* (* y x) (pow y 2)))))) (* (- (+ (* (* y x) (* y x)) (pow y 4)) (* (* y x) (pow y 2))) (+ (* y (- y x)) (pow x 2))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- (* y x) (pow y 2))) (* (+ (* x x) (- (* y y) (* x y))) (- (* (* y x) (* y x)) (* (pow y 2) (pow y 2))))) (* (- (* y x) (pow y 2)) (+ (* y (- y x)) (pow x 2))) (+ (* (- x y) (+ (pow (* y x) 3) (pow (pow y 2) 3))) (* x (* (- (* x x) (* y y)) (- (+ (* (* y x) (* y x)) (pow y 4)) (* (* y x) (pow y 2)))))) (* (- (+ (* (* y x) (* y x)) (pow y 4)) (* (* y x) (pow y 2))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (- (* y x) (pow y 2))) (* (- x y) (- (* (* y x) (* y x)) (* (pow y 2) (pow y 2))))) (* (- x y) (- (* y x) (pow y 2))) (+ (pow (* x (+ x y)) 3) (pow (+ (* y x) (pow y 2)) 3)) (+ (* (+ (* y x) (pow y 2)) (- (+ (* y x) (pow y 2)) (* x (+ x y)))) (* (* x (+ x y)) (* x (+ x y)))) (* (- (* x (+ x y)) (+ (* y x) (pow y 2))) (+ (pow y 2) (* x (+ y (+ x y))))) (- (* x x) (* y y)) (+ x y) (* x (+ y (+ x y))) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.326 * * * [progress]: adding candidates to table 0.373 * [progress]: [Phase 3 of 3] Extracting. 0.373 * * [regime]: Finding splitpoints for: (# # #) 0.373 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 0.373 * * * * [regimes]: Trying to branch on (+ x y) from (# # #) 0.407 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# # #) 0.440 * * * * [regimes]: Trying to branch on y from (# # #) 0.473 * * * * [regimes]: Trying to branch on x from (# # #) 0.507 * * * [regime]: Found split indices: #