17.742 * [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 # : (* (+ x y) (+ x y)) 0.018 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.018 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.020 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.024 * * [simplify]: iteration 3 : 40 enodes (cost 7 ) 0.032 * * [simplify]: iteration 4 : 59 enodes (cost 7 ) 0.041 * * [simplify]: iteration 5 : 75 enodes (cost 7 ) 0.052 * * [simplify]: iteration 6 : 82 enodes (cost 7 ) 0.063 * * [simplify]: iteration 7 : 84 enodes (cost 7 ) 0.077 * * [simplify]: iteration done : 84 enodes (cost 7 ) 0.077 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.077 * * [progress]: iteration 1 / 4 0.077 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.082 * * * [progress]: generating rewritten candidates 0.082 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.100 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.101 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.101 * [taylor]: Taking taylor expansion of (+ x y) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) 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 (pow (+ x y) 2) 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 (pow y 2) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.102 * [taylor]: Taking taylor expansion of 2 in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.104 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of 1 in y 0.106 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.106 * [taylor]: Taking taylor expansion of 2 in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.109 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.112 * [taylor]: Taking taylor expansion of 2 in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.115 * * * [progress]: simplifying candidates 0.116 * [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)))) 0.118 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.132 * * [simplify]: iteration 1 : 185 enodes (cost 453 ) 0.176 * * [simplify]: iteration 2 : 730 enodes (cost 407 ) 1.245 * * [simplify]: iteration 3 : 3858 enodes (cost 376 ) 2.353 * * [simplify]: iteration done : 5001 enodes (cost 376 ) 2.354 * [simplify]: Simplified to: 2 (pow (sqrt (+ x y)) 4) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (sqrt (+ x y)) 4)) (pow (+ y x) 6) (* (cbrt (pow (sqrt (+ x y)) 4)) (cbrt (pow (sqrt (+ x y)) 4))) (cbrt (pow (sqrt (+ x y)) 4)) (pow (+ y x) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (* (- x y) (- x y)) (pow (sqrt (+ x y)) 4)) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ y x) (+ y x) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) (+ y x) (+ y x) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (cbrt (+ x y)) (pow (cbrt (+ x y)) 4)) (pow (sqrt (+ x y)) 3) (+ y x) (+ y x) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 4) (pow (sqrt (+ x y)) 4) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- x y) (pow (sqrt (+ x y)) 4)) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- x y) (pow (sqrt (+ x y)) 4)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) 2.354 * * * [progress]: adding candidates to table 2.408 * * [progress]: iteration 2 / 4 2.408 * * * [progress]: picking best candidate 2.413 * * * * [pick]: Picked # 2.413 * * * [progress]: localizing error 2.419 * * * [progress]: generating rewritten candidates 2.419 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.423 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.433 * * * [progress]: generating series expansions 2.433 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.433 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 2.433 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.433 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.433 * [taylor]: Taking taylor expansion of y in x 2.433 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.433 * [taylor]: Taking taylor expansion of 2 in x 2.433 * [taylor]: Taking taylor expansion of (* x y) in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.433 * [taylor]: Taking taylor expansion of y in x 2.433 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.433 * [taylor]: Taking taylor expansion of x in y 2.433 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.433 * [taylor]: Taking taylor expansion of y in y 2.433 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.433 * [taylor]: Taking taylor expansion of 2 in y 2.434 * [taylor]: Taking taylor expansion of (* x y) in y 2.434 * [taylor]: Taking taylor expansion of x in y 2.434 * [taylor]: Taking taylor expansion of y in y 2.434 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.434 * [taylor]: Taking taylor expansion of x in y 2.434 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.434 * [taylor]: Taking taylor expansion of y in y 2.434 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.434 * [taylor]: Taking taylor expansion of 2 in y 2.434 * [taylor]: Taking taylor expansion of (* x y) in y 2.434 * [taylor]: Taking taylor expansion of x in y 2.434 * [taylor]: Taking taylor expansion of y in y 2.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.435 * [taylor]: Taking taylor expansion of x in x 2.435 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.435 * [taylor]: Taking taylor expansion of 2 in x 2.435 * [taylor]: Taking taylor expansion of x in x 2.437 * [taylor]: Taking taylor expansion of 1 in x 2.438 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 2.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.439 * [taylor]: Taking taylor expansion of x in x 2.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.439 * [taylor]: Taking taylor expansion of y in x 2.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.439 * [taylor]: Taking taylor expansion of 2 in x 2.439 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.439 * [taylor]: Taking taylor expansion of (* x y) in x 2.439 * [taylor]: Taking taylor expansion of x in x 2.439 * [taylor]: Taking taylor expansion of y in x 2.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.440 * [taylor]: Taking taylor expansion of x in y 2.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.440 * [taylor]: Taking taylor expansion of y in y 2.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.440 * [taylor]: Taking taylor expansion of 2 in y 2.440 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.440 * [taylor]: Taking taylor expansion of (* x y) in y 2.440 * [taylor]: Taking taylor expansion of x in y 2.440 * [taylor]: Taking taylor expansion of y in y 2.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.441 * [taylor]: Taking taylor expansion of x in y 2.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.441 * [taylor]: Taking taylor expansion of y in y 2.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.441 * [taylor]: Taking taylor expansion of 2 in y 2.441 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.441 * [taylor]: Taking taylor expansion of (* x y) in y 2.441 * [taylor]: Taking taylor expansion of x in y 2.442 * [taylor]: Taking taylor expansion of y in y 2.442 * [taylor]: Taking taylor expansion of 1 in x 2.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.443 * [taylor]: Taking taylor expansion of 2 in x 2.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.443 * [taylor]: Taking taylor expansion of x in x 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.447 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 2.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.447 * [taylor]: Taking taylor expansion of x in x 2.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.447 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.447 * [taylor]: Taking taylor expansion of y in x 2.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.447 * [taylor]: Taking taylor expansion of 2 in x 2.448 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.448 * [taylor]: Taking taylor expansion of (* x y) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [taylor]: Taking taylor expansion of y in x 2.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.448 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.448 * [taylor]: Taking taylor expansion of x in y 2.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.448 * [taylor]: Taking taylor expansion of y in y 2.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.449 * [taylor]: Taking taylor expansion of 2 in y 2.449 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.449 * [taylor]: Taking taylor expansion of (* x y) in y 2.449 * [taylor]: Taking taylor expansion of x in y 2.449 * [taylor]: Taking taylor expansion of y in y 2.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.449 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.449 * [taylor]: Taking taylor expansion of x in y 2.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.449 * [taylor]: Taking taylor expansion of y in y 2.450 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.450 * [taylor]: Taking taylor expansion of 2 in y 2.450 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.450 * [taylor]: Taking taylor expansion of (* x y) in y 2.450 * [taylor]: Taking taylor expansion of x in y 2.450 * [taylor]: Taking taylor expansion of y in y 2.451 * [taylor]: Taking taylor expansion of 1 in x 2.452 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.452 * [taylor]: Taking taylor expansion of 2 in x 2.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.452 * [taylor]: Taking taylor expansion of x in x 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.455 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.455 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 2.455 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 2.455 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 2.455 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.455 * [taylor]: Taking taylor expansion of 2 in x 2.455 * [taylor]: Taking taylor expansion of x in x 2.455 * [taylor]: Taking taylor expansion of y in x 2.455 * [taylor]: Taking taylor expansion of y in x 2.455 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 2.455 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 2.455 * [taylor]: Taking taylor expansion of (* 2 x) in y 2.455 * [taylor]: Taking taylor expansion of 2 in y 2.455 * [taylor]: Taking taylor expansion of x in y 2.455 * [taylor]: Taking taylor expansion of y in y 2.455 * [taylor]: Taking taylor expansion of y in y 2.455 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 2.455 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 2.455 * [taylor]: Taking taylor expansion of (* 2 x) in y 2.455 * [taylor]: Taking taylor expansion of 2 in y 2.455 * [taylor]: Taking taylor expansion of x in y 2.455 * [taylor]: Taking taylor expansion of y in y 2.455 * [taylor]: Taking taylor expansion of y in y 2.456 * [taylor]: Taking taylor expansion of 0 in x 2.456 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.456 * [taylor]: Taking taylor expansion of 2 in x 2.456 * [taylor]: Taking taylor expansion of x in x 2.458 * [taylor]: Taking taylor expansion of 1 in x 2.460 * [taylor]: Taking taylor expansion of 0 in x 2.462 * [taylor]: Taking taylor expansion of 0 in x 2.462 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 2.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 2.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 2.462 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.462 * [taylor]: Taking taylor expansion of y in x 2.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.462 * [taylor]: Taking taylor expansion of 2 in x 2.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.462 * [taylor]: Taking taylor expansion of x in x 2.463 * [taylor]: Taking taylor expansion of y in x 2.463 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.463 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.463 * [taylor]: Taking taylor expansion of y in y 2.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.463 * [taylor]: Taking taylor expansion of 2 in y 2.463 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.463 * [taylor]: Taking taylor expansion of x in y 2.463 * [taylor]: Taking taylor expansion of y in y 2.464 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.464 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.464 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.464 * [taylor]: Taking taylor expansion of y in y 2.464 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.464 * [taylor]: Taking taylor expansion of 2 in y 2.464 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.464 * [taylor]: Taking taylor expansion of x in y 2.464 * [taylor]: Taking taylor expansion of y in y 2.465 * [taylor]: Taking taylor expansion of 1 in x 2.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.466 * [taylor]: Taking taylor expansion of 2 in x 2.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.466 * [taylor]: Taking taylor expansion of x in x 2.468 * [taylor]: Taking taylor expansion of 0 in x 2.471 * [taylor]: Taking taylor expansion of 0 in x 2.475 * [taylor]: Taking taylor expansion of 0 in x 2.476 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 2.476 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 2.476 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 2.476 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.476 * [taylor]: Taking taylor expansion of y in x 2.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.476 * [taylor]: Taking taylor expansion of 2 in x 2.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.476 * [taylor]: Taking taylor expansion of x in x 2.476 * [taylor]: Taking taylor expansion of y in x 2.477 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.477 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.477 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.477 * [taylor]: Taking taylor expansion of y in y 2.477 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.477 * [taylor]: Taking taylor expansion of 2 in y 2.477 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.477 * [taylor]: Taking taylor expansion of x in y 2.477 * [taylor]: Taking taylor expansion of y in y 2.477 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 2.478 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 2.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.478 * [taylor]: Taking taylor expansion of y in y 2.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 2.478 * [taylor]: Taking taylor expansion of 2 in y 2.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.478 * [taylor]: Taking taylor expansion of x in y 2.478 * [taylor]: Taking taylor expansion of y in y 2.478 * [taylor]: Taking taylor expansion of 1 in x 2.479 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.479 * [taylor]: Taking taylor expansion of 2 in x 2.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.479 * [taylor]: Taking taylor expansion of x in x 2.482 * [taylor]: Taking taylor expansion of 0 in x 2.485 * [taylor]: Taking taylor expansion of 0 in x 2.489 * [taylor]: Taking taylor expansion of 0 in x 2.489 * * * [progress]: simplifying candidates 2.490 * [simplify]: Simplifying using # : (* (exp (* y (+ y (* 2 x)))) (exp (* x x))) (log (+ (* y (+ y (* 2 x))) (* x x))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (* (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (cbrt (+ (* y (+ y (* 2 x))) (* x x)))) (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (* (* (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x))) (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (+ (pow (* y (+ y (* 2 x))) 3) (pow (* x x) 3)) (+ (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (- (* (* x x) (* x x)) (* (* y (+ y (* 2 x))) (* x x)))) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* (* x x) (* x x))) (- (* y (+ y (* 2 x))) (* x x)) (+ (* y (* 2 x)) (* x x)) (+ (* (* 2 x) y) (* x x)) (* y (+ y (* 2 x))) (+ (log y) (log (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (* (* (* y y) y) (* (* (+ y (* 2 x)) (+ y (* 2 x))) (+ y (* 2 x)))) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (* (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) (* y 1) (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* (* 2 x) (* 2 x)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 2.492 * * [simplify]: iteration 0 : 71 enodes (cost 527 ) 2.514 * * [simplify]: iteration 1 : 219 enodes (cost 489 ) 2.575 * * [simplify]: iteration 2 : 740 enodes (cost 445 ) 2.999 * * [simplify]: iteration 3 : 3075 enodes (cost 437 ) 4.161 * * [simplify]: iteration done : 5001 enodes (cost 437 ) 4.161 * [simplify]: Simplified to: (exp (+ (* y (+ y (* 2 x))) (* x x))) (log (+ (* y (+ y (* 2 x))) (* x x))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (* (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (cbrt (+ (* y (+ y (* 2 x))) (* x x)))) (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (pow (+ (* y (+ y (* 2 x))) (* x x)) 3) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (+ (pow x 6) (pow (* y (+ y (* 2 x))) 3)) (- (pow x 4) (* (* y (+ y (* 2 x))) (- (* x x) (* y (+ y (* 2 x)))))) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x)) (* x (+ x (* y 2))) (* x (+ x (* y 2))) (* y (+ y (* 2 x))) (log (* y (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (pow y 2) (* 2 (* x y)) (pow y 2) (* 2 (* x y)) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) y (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* 4 (* x x)))) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (* y (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ y (* 2 x))) 4.162 * * * [progress]: adding candidates to table 4.245 * * [progress]: iteration 3 / 4 4.245 * * * [progress]: picking best candidate 4.249 * * * * [pick]: Picked # 4.249 * * * [progress]: localizing error 4.255 * * * [progress]: generating rewritten candidates 4.255 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 4.262 * * * [progress]: generating series expansions 4.262 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 4.263 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 4.263 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 4.263 * [taylor]: Taking taylor expansion of x in y 4.263 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 4.263 * [taylor]: Taking taylor expansion of x in y 4.263 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.263 * [taylor]: Taking taylor expansion of 2 in y 4.263 * [taylor]: Taking taylor expansion of y in y 4.263 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 4.263 * [taylor]: Taking taylor expansion of x in x 4.263 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 4.263 * [taylor]: Taking taylor expansion of x in x 4.263 * [taylor]: Taking taylor expansion of (* 2 y) in x 4.263 * [taylor]: Taking taylor expansion of 2 in x 4.263 * [taylor]: Taking taylor expansion of y in x 4.263 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 4.263 * [taylor]: Taking taylor expansion of x in x 4.263 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 4.263 * [taylor]: Taking taylor expansion of x in x 4.263 * [taylor]: Taking taylor expansion of (* 2 y) in x 4.263 * [taylor]: Taking taylor expansion of 2 in x 4.263 * [taylor]: Taking taylor expansion of y in x 4.263 * [taylor]: Taking taylor expansion of 0 in y 4.264 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.264 * [taylor]: Taking taylor expansion of 2 in y 4.264 * [taylor]: Taking taylor expansion of y in y 4.265 * [taylor]: Taking taylor expansion of 1 in y 4.268 * [taylor]: Taking taylor expansion of 0 in y 4.270 * [taylor]: Taking taylor expansion of 0 in y 4.270 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 4.271 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 4.271 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 4.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.271 * [taylor]: Taking taylor expansion of 2 in y 4.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.271 * [taylor]: Taking taylor expansion of y in y 4.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.271 * [taylor]: Taking taylor expansion of x in y 4.271 * [taylor]: Taking taylor expansion of x in y 4.271 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 4.271 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 4.272 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.272 * [taylor]: Taking taylor expansion of 2 in x 4.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.272 * [taylor]: Taking taylor expansion of y in x 4.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.272 * [taylor]: Taking taylor expansion of x in x 4.272 * [taylor]: Taking taylor expansion of x in x 4.272 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 4.272 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 4.272 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.272 * [taylor]: Taking taylor expansion of 2 in x 4.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.272 * [taylor]: Taking taylor expansion of y in x 4.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.273 * [taylor]: Taking taylor expansion of x in x 4.273 * [taylor]: Taking taylor expansion of x in x 4.273 * [taylor]: Taking taylor expansion of 1 in y 4.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.274 * [taylor]: Taking taylor expansion of 2 in y 4.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.274 * [taylor]: Taking taylor expansion of y in y 4.277 * [taylor]: Taking taylor expansion of 0 in y 4.280 * [taylor]: Taking taylor expansion of 0 in y 4.284 * [taylor]: Taking taylor expansion of 0 in y 4.284 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 4.284 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 4.284 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 4.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.284 * [taylor]: Taking taylor expansion of 2 in y 4.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.284 * [taylor]: Taking taylor expansion of y in y 4.285 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.285 * [taylor]: Taking taylor expansion of x in y 4.285 * [taylor]: Taking taylor expansion of x in y 4.285 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 4.285 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 4.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.285 * [taylor]: Taking taylor expansion of 2 in x 4.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.285 * [taylor]: Taking taylor expansion of y in x 4.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.285 * [taylor]: Taking taylor expansion of x in x 4.286 * [taylor]: Taking taylor expansion of x in x 4.286 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 4.286 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 4.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.286 * [taylor]: Taking taylor expansion of 2 in x 4.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.286 * [taylor]: Taking taylor expansion of y in x 4.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.286 * [taylor]: Taking taylor expansion of x in x 4.287 * [taylor]: Taking taylor expansion of x in x 4.287 * [taylor]: Taking taylor expansion of 1 in y 4.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.288 * [taylor]: Taking taylor expansion of 2 in y 4.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.288 * [taylor]: Taking taylor expansion of y in y 4.290 * [taylor]: Taking taylor expansion of 0 in y 4.294 * [taylor]: Taking taylor expansion of 0 in y 4.298 * [taylor]: Taking taylor expansion of 0 in y 4.298 * * * [progress]: simplifying candidates 4.298 * [simplify]: Simplifying using # : (* x (+ x (* y 2))) (+ (log x) (log (+ x (* y 2)))) (log (* x (+ x (* y 2)))) (exp (* x (+ x (* y 2)))) (* (* (* x x) x) (* (* (+ x (* y 2)) (+ x (* y 2))) (+ x (* y 2)))) (* (cbrt (* x (+ x (* y 2)))) (cbrt (* x (+ x (* y 2))))) (cbrt (* x (+ x (* y 2)))) (* (* (* x (+ x (* y 2))) (* x (+ x (* y 2)))) (* x (+ x (* y 2)))) (sqrt (* x (+ x (* y 2)))) (sqrt (* x (+ x (* y 2)))) (* (sqrt x) (sqrt (+ x (* y 2)))) (* (sqrt x) (sqrt (+ x (* y 2)))) (* x x) (* x (* y 2)) (* x x) (* (* y 2) x) (* x (* (cbrt (+ x (* y 2))) (cbrt (+ x (* y 2))))) (* x (sqrt (+ x (* y 2)))) (* x 1) (* (cbrt x) (+ x (* y 2))) (* (sqrt x) (+ x (* y 2))) (* x (+ x (* y 2))) (* x (+ (pow x 3) (pow (* y 2) 3))) (* x (- (* x x) (* (* y 2) (* y 2)))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) 4.300 * * [simplify]: iteration 0 : 47 enodes (cost 253 ) 4.315 * * [simplify]: iteration 1 : 143 enodes (cost 240 ) 4.347 * * [simplify]: iteration 2 : 424 enodes (cost 214 ) 4.573 * * [simplify]: iteration 3 : 1518 enodes (cost 214 ) 5.937 * * [simplify]: iteration done : 5000 enodes (cost 214 ) 5.937 * [simplify]: Simplified to: (* x (+ x (* y 2))) (log (* x (+ x (* y 2)))) (log (* x (+ x (* y 2)))) (exp (* x (+ x (* y 2)))) (pow (* x (+ x (* y 2))) 3) (* (cbrt (* x (+ x (* y 2)))) (cbrt (* x (+ x (* y 2))))) (cbrt (* x (+ x (* y 2)))) (pow (* x (+ x (* y 2))) 3) (sqrt (* x (+ x (* y 2)))) (sqrt (* x (+ x (* y 2)))) (* (sqrt x) (sqrt (+ x (* y 2)))) (* (sqrt x) (sqrt (+ x (* y 2)))) (* x x) (* (* y 2) x) (* x x) (* (* y 2) x) (* x (* (cbrt (+ x (* y 2))) (cbrt (+ x (* y 2))))) (* x (sqrt (+ x (* y 2)))) x (* (cbrt x) (+ x (* y 2))) (* (sqrt x) (+ x (* y 2))) (* x (+ x (* y 2))) (* x (+ (pow x 3) (pow (* y 2) 3))) (* x (- (* x x) (* (* y y) 4))) (* x (+ x (* y 2))) (* x (+ x (* y 2))) (* x (+ x (* y 2))) 5.938 * * * [progress]: adding candidates to table 5.977 * * [progress]: iteration 4 / 4 5.977 * * * [progress]: picking best candidate 5.979 * * * * [pick]: Picked # 5.979 * * * [progress]: localizing error 5.986 * * * [progress]: generating rewritten candidates 5.986 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 5.989 * * * [progress]: generating series expansions 5.989 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 5.989 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in (x y) around 0 5.989 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 5.989 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.989 * [taylor]: Taking taylor expansion of x in y 5.989 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 5.989 * [taylor]: Taking taylor expansion of 2 in y 5.989 * [taylor]: Taking taylor expansion of (* x y) in y 5.989 * [taylor]: Taking taylor expansion of x in y 5.989 * [taylor]: Taking taylor expansion of y in y 5.989 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 5.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.989 * [taylor]: Taking taylor expansion of x in x 5.989 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.989 * [taylor]: Taking taylor expansion of 2 in x 5.989 * [taylor]: Taking taylor expansion of (* x y) in x 5.989 * [taylor]: Taking taylor expansion of x in x 5.989 * [taylor]: Taking taylor expansion of y in x 5.989 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 5.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.989 * [taylor]: Taking taylor expansion of x in x 5.989 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 5.989 * [taylor]: Taking taylor expansion of 2 in x 5.989 * [taylor]: Taking taylor expansion of (* x y) in x 5.989 * [taylor]: Taking taylor expansion of x in x 5.989 * [taylor]: Taking taylor expansion of y in x 5.990 * [taylor]: Taking taylor expansion of 0 in y 5.991 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.991 * [taylor]: Taking taylor expansion of 2 in y 5.991 * [taylor]: Taking taylor expansion of y in y 5.992 * [taylor]: Taking taylor expansion of 1 in y 5.995 * [taylor]: Taking taylor expansion of 0 in y 5.998 * [taylor]: Taking taylor expansion of 0 in y 5.998 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0 5.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 5.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.998 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.998 * [taylor]: Taking taylor expansion of x in y 5.999 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 5.999 * [taylor]: Taking taylor expansion of 2 in y 5.999 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 5.999 * [taylor]: Taking taylor expansion of (* x y) in y 5.999 * [taylor]: Taking taylor expansion of x in y 5.999 * [taylor]: Taking taylor expansion of y in y 5.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 5.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.999 * [taylor]: Taking taylor expansion of x in x 5.999 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 5.999 * [taylor]: Taking taylor expansion of 2 in x 5.999 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.000 * [taylor]: Taking taylor expansion of (* x y) in x 6.000 * [taylor]: Taking taylor expansion of x in x 6.000 * [taylor]: Taking taylor expansion of y in x 6.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.000 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.000 * [taylor]: Taking taylor expansion of x in x 6.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.000 * [taylor]: Taking taylor expansion of 2 in x 6.000 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.000 * [taylor]: Taking taylor expansion of (* x y) in x 6.000 * [taylor]: Taking taylor expansion of x in x 6.000 * [taylor]: Taking taylor expansion of y in x 6.001 * [taylor]: Taking taylor expansion of 1 in y 6.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 6.002 * [taylor]: Taking taylor expansion of 2 in y 6.002 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.002 * [taylor]: Taking taylor expansion of y in y 6.004 * [taylor]: Taking taylor expansion of 0 in y 6.008 * [taylor]: Taking taylor expansion of 0 in y 6.012 * [taylor]: Taking taylor expansion of 0 in y 6.012 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0 6.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 6.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.012 * [taylor]: Taking taylor expansion of x in y 6.012 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 6.012 * [taylor]: Taking taylor expansion of 2 in y 6.012 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.012 * [taylor]: Taking taylor expansion of (* x y) in y 6.012 * [taylor]: Taking taylor expansion of x in y 6.013 * [taylor]: Taking taylor expansion of y in y 6.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.013 * [taylor]: Taking taylor expansion of x in x 6.013 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.013 * [taylor]: Taking taylor expansion of 2 in x 6.013 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.013 * [taylor]: Taking taylor expansion of (* x y) in x 6.013 * [taylor]: Taking taylor expansion of x in x 6.013 * [taylor]: Taking taylor expansion of y in x 6.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 6.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.014 * [taylor]: Taking taylor expansion of x in x 6.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 6.014 * [taylor]: Taking taylor expansion of 2 in x 6.014 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.014 * [taylor]: Taking taylor expansion of (* x y) in x 6.014 * [taylor]: Taking taylor expansion of x in x 6.014 * [taylor]: Taking taylor expansion of y in x 6.015 * [taylor]: Taking taylor expansion of 1 in y 6.016 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 6.016 * [taylor]: Taking taylor expansion of 2 in y 6.016 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.016 * [taylor]: Taking taylor expansion of y in y 6.018 * [taylor]: Taking taylor expansion of 0 in y 6.022 * [taylor]: Taking taylor expansion of 0 in y 6.026 * [taylor]: Taking taylor expansion of 0 in y 6.027 * * * [progress]: simplifying candidates 6.027 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* (* y 2) x))) (log (+ (* x x) (* (* y 2) x))) (exp (+ (* x x) (* (* y 2) x))) (* (cbrt (+ (* x x) (* (* y 2) x))) (cbrt (+ (* x x) (* (* y 2) x)))) (cbrt (+ (* x x) (* (* y 2) x))) (* (* (+ (* x x) (* (* y 2) x)) (+ (* x x) (* (* y 2) x))) (+ (* x x) (* (* y 2) x))) (sqrt (+ (* x x) (* (* y 2) x))) (sqrt (+ (* x x) (* (* y 2) x))) (+ (pow (* x x) 3) (pow (* (* y 2) x) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 2) x) (* (* y 2) x)) (* (* x x) (* (* y 2) x)))) (- (* (* x x) (* x x)) (* (* (* y 2) x) (* (* y 2) x))) (- (* x x) (* (* y 2) x)) (+ x (* y 2)) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) 6.028 * * [simplify]: iteration 0 : 33 enodes (cost 213 ) 6.035 * * [simplify]: iteration 1 : 109 enodes (cost 178 ) 6.270 * * [simplify]: iteration 2 : 426 enodes (cost 148 ) 6.520 * * [simplify]: iteration 3 : 1680 enodes (cost 148 ) 8.113 * * [simplify]: iteration done : 5000 enodes (cost 148 ) 8.113 * [simplify]: Simplified to: (exp (* x (+ x (* y 2)))) (log (* x (+ x (* y 2)))) (exp (* x (+ x (* y 2)))) (* (cbrt (* x (+ x (* y 2)))) (cbrt (* x (+ x (* y 2))))) (cbrt (* x (+ x (* y 2)))) (pow (* x (+ x (* y 2))) 3) (sqrt (* x (+ x (* y 2)))) (sqrt (* x (+ x (* y 2)))) (+ (pow x 6) (pow (* (* y 2) x) 3)) (+ (pow x 4) (* (* x (* (* y 2) x)) (- (* y 2) x))) (* (* x x) (- (* x x) (* 4 (* y y)))) (* x (- x (* y 2))) (+ x (* y 2)) (* x (+ x (* y 2))) (* x (+ x (* y 2))) (* x (+ x (* y 2))) 8.113 * * * [progress]: adding candidates to table 8.139 * [progress]: [Phase 3 of 3] Extracting. 8.140 * [simplify]: Simplifying using # : (+ (* y y) (+ (* x x) (* (* y 2) x))) 8.140 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 8.141 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 8.141 * * [simplify]: iteration done : 13 enodes (cost 13 ) 8.141 * [simplify]: Simplified to: (+ (* y y) (+ (* x x) (* (* y 2) x))) 8.602 * [regime-testing]: End program error score: 0.01222088854883904 8.618 * [regime-testing]: Target error score: 0.01454429928777155