16.071 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (* x (exp (* y y))) 0.035 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.036 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.037 * * [simplify]: iteration 2 : 21 enodes (cost 3 ) 0.038 * * [simplify]: iteration 3 : 48 enodes (cost 3 ) 0.039 * * [simplify]: iteration 4 : 133 enodes (cost 3 ) 0.042 * * [simplify]: iteration 5 : 437 enodes (cost 3 ) 0.052 * * [simplify]: iteration 6 : 1926 enodes (cost 3 ) 0.097 * * [simplify]: iteration 7 : 5002 enodes (cost 3 ) 0.097 * [simplify]: Simplified to: (* x (exp (* y y))) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.109 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.111 * [approximate]: Approximating (* x (exp (pow y 2))) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.113 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.115 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.119 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.119 * [approximate]: Approximating (/ (exp (/ 1 (pow y 2))) x) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.123 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.125 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.129 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.129 * [approximate]: Approximating (* -1 (/ (exp (/ 1 (pow y 2))) x)) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.133 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.137 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.143 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.143 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.143 * [approximate]: Approximating (exp (pow y 2)) in (y) around 0 0.150 * [approximate]: Approximating (exp (/ 1 (pow y 2))) in (y) around 0 0.152 * [approximate]: Approximating (exp (/ 1 (pow y 2))) in (y) around 0 0.153 * * * [progress]: simplifying candidates 0.154 * [simplify]: Simplifying using # : (* x (exp (* y y))) (+ (log x) (* y y)) (log (* x (exp (* y y)))) (exp (* x (exp (* y y)))) (* (* (* x x) x) (* (* (exp (* y y)) (exp (* y y))) (exp (* y y)))) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y)))) (* (* (* x (exp (* y y))) (* x (exp (* y y)))) (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* x (sqrt (exp (* y y)))) (* x 1) (* (cbrt x) (exp (* y y))) (* (sqrt x) (exp (* y y))) (* x (exp (* y y))) (exp y) (log (exp (* y y))) (exp (exp (* y y))) (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))) (cbrt (exp (* y y))) (* (* (exp (* y y)) (exp (* y y))) (exp (* y y))) (sqrt (exp (* y y))) (sqrt (exp (* y y))) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)) (exp (pow y 2)) (exp (pow y 2)) 0.157 * * [simplify]: iteration 0 : 89 enodes (cost 130 ) 0.159 * * [simplify]: iteration 1 : 321 enodes (cost 114 ) 0.165 * * [simplify]: iteration 2 : 1270 enodes (cost 114 ) 0.196 * * [simplify]: iteration 3 : 5001 enodes (cost 114 ) 0.197 * [simplify]: Simplified to: (* x (exp (pow y 2))) (+ (log x) (* y y)) (+ (log x) (* y y)) (exp (* x (exp (* y y)))) (pow (* x (exp (pow y 2))) 3) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y)))) (pow (* x (exp (pow y 2))) 3) (sqrt (* x (exp (* y y)))) (sqrt (* x (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* (sqrt x) (sqrt (exp (* y y)))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* x (sqrt (exp (* y y)))) x (* (cbrt x) (exp (* y y))) (* (sqrt x) (exp (* y y))) (* x (exp (pow y 2))) (exp y) (pow y 2) (exp (exp (* y y))) (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))) (cbrt (exp (* y y))) (pow (exp (* y y)) 3) (sqrt (exp (* y y))) (sqrt (exp (* y y))) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)) (exp (* y y)) (exp (* y y)) 0.197 * * * [progress]: adding candidates to table 0.250 * * [progress]: iteration 2 / 4 0.250 * * * [progress]: picking best candidate 0.271 * * * * [pick]: Picked # 0.271 * * * [progress]: localizing error 0.276 * * * [progress]: generating rewritten candidates 0.277 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.281 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.285 * * * [progress]: generating series expansions 0.286 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.286 * [approximate]: Approximating (* x (pow (exp y) y)) in (x y) around 0 0.292 * [taylor]: Taking taylor expansion of (* x (pow (exp y) y)) in y 0.294 * [taylor]: Taking taylor expansion of (* x (pow (exp y) y)) in y 0.298 * [taylor]: Taking taylor expansion of (* x (pow (exp y) y)) in y 0.305 * [taylor]: Taking taylor expansion of (* x (pow (exp y) y)) in y 0.305 * [approximate]: Approximating (/ (pow (exp (/ 1 y)) (/ 1 y)) x) in (x y) around 0 0.306 * [taylor]: Taking taylor expansion of (/ (pow (exp (/ 1 y)) (/ 1 y)) x) in y 0.310 * [taylor]: Taking taylor expansion of (/ (pow (exp (/ 1 y)) (/ 1 y)) x) in y 0.315 * [taylor]: Taking taylor expansion of (/ (pow (exp (/ 1 y)) (/ 1 y)) x) in y 0.321 * [taylor]: Taking taylor expansion of (/ (pow (exp (/ 1 y)) (/ 1 y)) x) in y 0.322 * [approximate]: Approximating (* -1 (/ (pow (exp (/ -1 y)) (/ -1 y)) x)) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (exp (/ -1 y)) (/ -1 y)) x)) in y 0.328 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (exp (/ -1 y)) (/ -1 y)) x)) in y 0.333 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (exp (/ -1 y)) (/ -1 y)) x)) in y 0.344 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (exp (/ -1 y)) (/ -1 y)) x)) in y 0.344 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.344 * [approximate]: Approximating (pow (exp y) y) in (y) around 0 0.374 * [approximate]: Approximating (pow (exp (/ 1 y)) (/ 1 y)) in (y) around 0 0.376 * [approximate]: Approximating (pow (exp (/ -1 y)) (/ -1 y)) in (y) around 0 0.378 * * * [progress]: simplifying candidates 0.379 * [simplify]: Simplifying using # : (+ (log x) (* y y)) (+ (log x) (* (log (exp y)) y)) (+ (log x) (log (pow (exp y) y))) (log (* x (pow (exp y) y))) (exp (* x (pow (exp y) y))) (* (* (* x x) x) (* (* (pow (exp y) y) (pow (exp y) y)) (pow (exp y) y))) (* (cbrt (* x (pow (exp y) y))) (cbrt (* x (pow (exp y) y)))) (cbrt (* x (pow (exp y) y))) (* (* (* x (pow (exp y) y)) (* x (pow (exp y) y))) (* x (pow (exp y) y))) (sqrt (* x (pow (exp y) y))) (sqrt (* x (pow (exp y) y))) (* (sqrt x) (pow (sqrt (exp y)) y)) (* (sqrt x) (pow (sqrt (exp y)) y)) (* (sqrt x) (sqrt (pow (exp y) y))) (* (sqrt x) (sqrt (pow (exp y) y))) (* (sqrt x) (pow (exp y) (/ y 2))) (* (sqrt x) (pow (exp y) (/ y 2))) (* x (pow (* (cbrt (exp y)) (cbrt (exp y))) y)) (* x (pow (sqrt (exp y)) y)) (* x (pow 1 y)) (* x (* (cbrt (pow (exp y) y)) (cbrt (pow (exp y) y)))) (* x (sqrt (pow (exp y) y))) (* x 1) (* x (pow (exp y) (/ y 2))) (* (cbrt x) (pow (exp y) y)) (* (sqrt x) (pow (exp y) y)) (* x (pow (exp y) y)) (* y y) (* (log (exp y)) y) (* 1 y) (* (cbrt y) y) (* (sqrt y) y) (* y y) (pow (exp y) (* (cbrt y) (cbrt y))) (pow (exp y) (sqrt y)) (pow (exp y) 1) (pow (* (cbrt (exp y)) (cbrt (exp y))) y) (pow (cbrt (exp y)) y) (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y) (pow 1 y) (pow (exp y) y) (log (pow (exp y) y)) (exp (pow (exp y) y)) (* (cbrt (pow (exp y) y)) (cbrt (pow (exp y) y))) (cbrt (pow (exp y) y)) (* (* (pow (exp y) y) (pow (exp y) y)) (pow (exp y) y)) (sqrt (pow (exp y) y)) (sqrt (pow (exp y) y)) (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)) (exp (pow y 2)) (exp (pow y 2)) 0.382 * * [simplify]: iteration 0 : 148 enodes (cost 205 ) 0.385 * * [simplify]: iteration 1 : 591 enodes (cost 190 ) 0.398 * * [simplify]: iteration 2 : 2968 enodes (cost 190 ) 0.477 * * [simplify]: iteration 3 : 5001 enodes (cost 189 ) 0.479 * [simplify]: Simplified to: (+ (log x) (* y y)) (+ (log x) (* y y)) (+ (log x) (* y y)) (+ (log x) (* y y)) (exp (* x (pow (exp y) y))) (pow (* x (pow (exp y) y)) 3) (* (cbrt (* x (pow (exp y) y))) (cbrt (* x (pow (exp y) y)))) (cbrt (* x (pow (exp y) y))) (pow (* x (pow (exp y) y)) 3) (sqrt (* x (pow (exp y) y))) (sqrt (* x (pow (exp y) y))) (* (sqrt x) (pow (exp y) (/ y 2))) (* (sqrt x) (pow (exp y) (/ y 2))) (* (sqrt x) (pow (exp y) (/ y 2))) (* (sqrt x) (pow (exp y) (/ y 2))) (* (sqrt x) (pow (exp y) (/ y 2))) (* (sqrt x) (pow (exp y) (/ y 2))) (* x (pow (* (cbrt (exp y)) (cbrt (exp y))) y)) (* x (pow (exp y) (/ y 2))) x (* x (* (cbrt (pow (exp y) y)) (cbrt (pow (exp y) y)))) (* x (pow (exp y) (/ y 2))) x (* x (pow (exp y) (/ y 2))) (* (cbrt x) (pow (exp y) y)) (* (sqrt x) (pow (exp y) y)) (* x (pow (exp y) y)) (pow y 2) (pow y 2) y (* (cbrt y) y) (pow y 3/2) (pow y 2) (pow (exp y) (* (cbrt y) (cbrt y))) (pow (exp y) (sqrt y)) (exp y) (pow (* (cbrt (exp y)) (cbrt (exp y))) y) (pow (cbrt (exp y)) y) (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)) 1 (exp (pow y 2)) (pow y 2) (exp (pow (exp y) y)) (* (cbrt (pow (exp y) y)) (cbrt (pow (exp y) y))) (cbrt (pow (exp y) y)) (pow (exp (pow y 2)) 3) (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)) x (* x (pow (exp y) y)) (* x (pow (exp y) y)) (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)) (exp (pow y 2)) (exp (pow y 2)) 0.479 * * * [progress]: adding candidates to table 0.559 * * [progress]: iteration 3 / 4 0.559 * * * [progress]: picking best candidate 0.579 * * * * [pick]: Picked # 0.579 * * * [progress]: localizing error 0.587 * * * [progress]: generating rewritten candidates 0.587 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.595 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.605 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.607 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.610 * * * [progress]: generating series expansions 0.610 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.610 * [approximate]: Approximating (* x (pow (pow (exp (pow y 2)) 2) 1/3)) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (* x (pow (pow (exp (pow y 2)) 2) 1/3)) in y 0.622 * [taylor]: Taking taylor expansion of (* x (pow (pow (exp (pow y 2)) 2) 1/3)) in y 0.635 * [taylor]: Taking taylor expansion of (* x (pow (pow (exp (pow y 2)) 2) 1/3)) in y 0.644 * [taylor]: Taking taylor expansion of (* x (pow (pow (exp (pow y 2)) 2) 1/3)) in y 0.644 * [approximate]: Approximating (* (/ 1 x) (pow (pow (exp (/ 1 (pow y 2))) 2) 1/3)) in (x y) around 0 0.647 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (exp (/ 1 (pow y 2))) 2) 1/3)) in y 0.652 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (exp (/ 1 (pow y 2))) 2) 1/3)) in y 0.665 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (exp (/ 1 (pow y 2))) 2) 1/3)) in y 0.678 * [taylor]: Taking taylor expansion of (* (/ 1 x) (pow (pow (exp (/ 1 (pow y 2))) 2) 1/3)) in y 0.678 * [approximate]: Approximating (* -1 (* (/ 1 x) (pow (pow (exp (/ 1 (pow y 2))) 2) 1/3))) in (x y) around 0 0.682 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (pow (pow (exp (/ 1 (pow y 2))) 2) 1/3))) in y 0.688 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (pow (pow (exp (/ 1 (pow y 2))) 2) 1/3))) in y 0.698 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (pow (pow (exp (/ 1 (pow y 2))) 2) 1/3))) in y 0.712 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (pow (pow (exp (/ 1 (pow y 2))) 2) 1/3))) in y 0.712 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.713 * [approximate]: Approximating (* x (exp (pow y 2))) in (x y) around 0 0.713 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.714 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.717 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.721 * [taylor]: Taking taylor expansion of (* x (exp (pow y 2))) in y 0.721 * [approximate]: Approximating (/ (exp (/ 1 (pow y 2))) x) in (x y) around 0 0.723 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.725 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.728 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.732 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow y 2))) x) in y 0.732 * [approximate]: Approximating (* -1 (/ (exp (/ 1 (pow y 2))) x)) in (x y) around 0 0.734 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.742 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.746 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.752 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (/ 1 (pow y 2))) x)) in y 0.752 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.752 * [approximate]: Approximating (pow (exp (pow y 2)) 1/3) in (y) around 0 0.784 * [approximate]: Approximating (pow (exp (/ 1 (pow y 2))) 1/3) in (y) around 0 0.830 * [approximate]: Approximating (pow (exp (/ 1 (pow y 2))) 1/3) in (y) around 0 0.871 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.871 * [approximate]: Approximating (pow (exp (pow y 2)) 1/3) in (y) around 0 0.911 * [approximate]: Approximating (pow (exp (/ 1 (pow y 2))) 1/3) in (y) around 0 0.952 * [approximate]: Approximating (pow (exp (/ 1 (pow y 2))) 1/3) in (y) around 0 0.999 * * * [progress]: simplifying candidates 1.001 * [simplify]: Simplifying using # : (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (+ (log x) (+ (log (cbrt (exp (* y y)))) (log (cbrt (exp (* y y)))))) (+ (log x) (log (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (log (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (exp (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (* (* x x) x) (* (exp (* y y)) (exp (* y y)))) (* (* (* x x) x) (* (* (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))) (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (cbrt (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (cbrt (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))))) (cbrt (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (sqrt (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (sqrt (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (sqrt x) (cbrt (exp (* y y)))) (* (sqrt x) (cbrt (exp (* y y)))) (* x (cbrt (exp (* y y)))) (* (cbrt x) (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* (sqrt x) (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y)))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y)))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y)))) (+ (+ (log x) (+ (log (cbrt (exp (* y y)))) (log (cbrt (exp (* y y)))))) (log (cbrt (exp (* y y))))) (+ (+ (log x) (log (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (log (cbrt (exp (* y y))))) (+ (log (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (log (cbrt (exp (* y y))))) (log (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (exp (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (* (* (* (* x x) x) (* (exp (* y y)) (exp (* y y)))) (exp (* y y))) (* (* (* (* x x) x) (* (* (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))) (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (exp (* y y))) (* (* (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (exp (* y y))) (* (cbrt (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (cbrt (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y)))))) (cbrt (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (* (* (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y)))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (sqrt (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (sqrt (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (sqrt (exp (* y y))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt 1)) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y)))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (sqrt (cbrt (exp (* y y))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) 1) (* (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))) (cbrt (exp (* y y)))) (log (cbrt (exp (* y y)))) (exp (cbrt (exp (* y y)))) (cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))) (cbrt 1) (cbrt (exp (* y y))) (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))) (* (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))) (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y)))) (log (cbrt (exp (* y y)))) (exp (cbrt (exp (* y y)))) (cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))) (cbrt 1) (cbrt (exp (* y y))) (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))) (* (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))) (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y)))) x (* x (pow (pow (exp (pow y 2)) 2) 1/3)) (* x (pow (pow (exp (pow y 2)) 2) 1/3)) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) (+ (* 1/3 (pow y 2)) (+ (* 1/18 (pow y 4)) 1)) (exp (* 1/3 (pow y 2))) (exp (* 1/3 (pow y 2))) (+ (* 1/3 (pow y 2)) (+ (* 1/18 (pow y 4)) 1)) (exp (* 1/3 (pow y 2))) (exp (* 1/3 (pow y 2))) 1.005 * * [simplify]: iteration 0 : 197 enodes (cost 718 ) 1.010 * * [simplify]: iteration 1 : 829 enodes (cost 558 ) 1.032 * * [simplify]: iteration 2 : 4478 enodes (cost 507 ) 1.120 * * [simplify]: iteration 3 : 5001 enodes (cost 481 ) 1.122 * [simplify]: Simplified to: (* x (pow (pow (exp (pow y 2)) 2) 1/3)) (* x (pow (pow (exp (pow y 2)) 2) 1/3)) (+ (* 2 (log (cbrt (exp (* y y))))) (log x)) (+ (* 2 (log (cbrt (exp (* y y))))) (log x)) (+ (* 2 (log (cbrt (exp (* y y))))) (log x)) (exp (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (pow x 3) (pow (exp (pow y 2)) 2)) (* (pow x 3) (pow (exp (pow y 2)) 2)) (* (cbrt (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (cbrt (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))))) (cbrt (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (pow x 3) (pow (exp (pow y 2)) 2)) (sqrt (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (sqrt (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (sqrt x) (cbrt (exp (* y y)))) (* (sqrt x) (cbrt (exp (* y y)))) (* x (cbrt (exp (* y y)))) (* (cbrt x) (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* (sqrt x) (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* x (pow (pow (exp (pow y 2)) 2) 1/3)) (* x (exp (pow y 2))) (* x (exp (pow y 2))) (* x (exp (pow y 2))) (+ (log x) (log (exp (* y y)))) (+ (log x) (log (exp (* y y)))) (+ (log x) (log (exp (* y y)))) (+ (log x) (log (exp (* y y)))) (pow (exp x) (exp (* y y))) (* (pow (exp (* y y)) 3) (pow x 3)) (* (pow (exp (* y y)) 3) (pow x 3)) (* (pow (exp (* y y)) 3) (pow x 3)) (* (cbrt (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (cbrt (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y)))))) (cbrt (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (* (pow (exp (* y y)) 3) (pow x 3)) (sqrt (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (sqrt (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (exp (* y y))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (sqrt (exp (* y y))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt 1)) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y)))))) (* (* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (sqrt (cbrt (exp (* y y))))) (* x (pow (pow (exp (pow y 2)) 2) 1/3)) (exp (* y y)) (* 1/3 (pow y 2)) (exp (cbrt (exp (* y y)))) (cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))) (cbrt 1) (exp (* 1/3 (pow y 2))) (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))) (exp (* y y)) (sqrt (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y)))) (* 1/3 (pow y 2)) (exp (cbrt (exp (* y y)))) (cbrt (* (cbrt (exp (* y y))) (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))) (cbrt (sqrt (exp (* y y)))) (cbrt 1) (exp (* 1/3 (pow y 2))) (* (cbrt (cbrt (exp (* y y)))) (cbrt (cbrt (exp (* y y))))) (cbrt (cbrt (exp (* y y)))) (exp (* y y)) (sqrt (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y)))) x (* x (pow (pow (exp (pow y 2)) 2) 1/3)) (* x (pow (pow (exp (pow y 2)) 2) 1/3)) x (* x (exp (pow y 2))) (* x (exp (pow y 2))) (+ (* 1/3 (pow y 2)) (+ (* 1/18 (pow y 4)) 1)) (exp (* 1/3 (pow y 2))) (exp (* 1/3 (pow y 2))) (+ (* 1/3 (pow y 2)) (+ (* 1/18 (pow y 4)) 1)) (exp (* 1/3 (pow y 2))) (exp (* 1/3 (pow y 2))) 1.123 * * * [progress]: adding candidates to table 1.294 * * [progress]: iteration 4 / 4 1.294 * * * [progress]: picking best candidate 1.310 * * * * [pick]: Picked # 1.310 * * * [progress]: localizing error 1.319 * * * [progress]: generating rewritten candidates 1.319 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.322 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.325 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.328 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.334 * * * [progress]: generating series expansions 1.334 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.334 * [approximate]: Approximating (pow (* x (exp (pow y 2))) 1/3) in (x y) around 0 1.339 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.343 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.352 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.364 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.386 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.386 * [approximate]: Approximating (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in (x y) around 0 1.389 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.394 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.401 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.409 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.410 * [approximate]: Approximating (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in (x y) around 0 1.416 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.423 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.432 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.444 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.444 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.444 * [approximate]: Approximating (pow (* x (exp (pow y 2))) 1/3) in (x y) around 0 1.448 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.453 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.466 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.478 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.494 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.495 * [approximate]: Approximating (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in (x y) around 0 1.498 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.503 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.509 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.517 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.518 * [approximate]: Approximating (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in (x y) around 0 1.524 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.531 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.544 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.556 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.557 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.557 * [approximate]: Approximating (pow (* x (exp (pow y 2))) 1/3) in (x y) around 0 1.561 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.565 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.573 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.585 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.602 * [taylor]: Taking taylor expansion of (pow (* x (exp (pow y 2))) 1/3) in y 1.603 * [approximate]: Approximating (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in (x y) around 0 1.605 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.611 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.622 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.630 * [taylor]: Taking taylor expansion of (pow (/ (exp (/ 1 (pow y 2))) x) 1/3) in y 1.630 * [approximate]: Approximating (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in (x y) around 0 1.636 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.644 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.653 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.665 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (exp (/ 1 (pow y 2))) x) 1/3)) in y 1.666 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.666 * [approximate]: Approximating (pow (* (pow x 2) (pow (exp (pow y 2)) 2)) 1/3) in (x y) around 0 1.670 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow (exp (pow y 2)) 2)) 1/3) in y 1.675 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow (exp (pow y 2)) 2)) 1/3) in y 1.685 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow (exp (pow y 2)) 2)) 1/3) in y 1.707 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow (exp (pow y 2)) 2)) 1/3) in y 1.730 * [taylor]: Taking taylor expansion of (pow (* (pow x 2) (pow (exp (pow y 2)) 2)) 1/3) in y 1.730 * [approximate]: Approximating (pow (/ (pow (exp (/ 1 (pow y 2))) 2) (pow x 2)) 1/3) in (x y) around 0 1.735 * [taylor]: Taking taylor expansion of (pow (/ (pow (exp (/ 1 (pow y 2))) 2) (pow x 2)) 1/3) in y 1.742 * [taylor]: Taking taylor expansion of (pow (/ (pow (exp (/ 1 (pow y 2))) 2) (pow x 2)) 1/3) in y 1.752 * [taylor]: Taking taylor expansion of (pow (/ (pow (exp (/ 1 (pow y 2))) 2) (pow x 2)) 1/3) in y 1.769 * [taylor]: Taking taylor expansion of (pow (/ (pow (exp (/ 1 (pow y 2))) 2) (pow x 2)) 1/3) in y 1.769 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ (pow (exp (/ 1 (pow y 2))) 2) (pow x 2)) 1/3)) in (x y) around 0 1.785 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (exp (/ 1 (pow y 2))) 2) (pow x 2)) 1/3)) in y 1.798 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (exp (/ 1 (pow y 2))) 2) (pow x 2)) 1/3)) in y 1.813 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (exp (/ 1 (pow y 2))) 2) (pow x 2)) 1/3)) in y 1.836 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (exp (/ 1 (pow y 2))) 2) (pow x 2)) 1/3)) in y 1.837 * * * [progress]: simplifying candidates 1.838 * [simplify]: Simplifying using # : (log (cbrt (* x (exp (* y y))))) (exp (cbrt (* x (exp (* y y))))) (cbrt x) (cbrt (exp (* y y))) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y)))))) (cbrt (cbrt (* x (exp (* y y))))) (* (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y))))) (log (cbrt (* x (exp (* y y))))) (exp (cbrt (* x (exp (* y y))))) (cbrt x) (cbrt (exp (* y y))) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y)))))) (cbrt (cbrt (* x (exp (* y y))))) (* (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y))))) (log (cbrt (* x (exp (* y y))))) (exp (cbrt (* x (exp (* y y))))) (cbrt x) (cbrt (exp (* y y))) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y)))))) (cbrt (cbrt (* x (exp (* y y))))) (* (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y))))) (+ 1/3 1/3) (+ 1 1) (* (* x (exp (* y y))) (* x (exp (* y y)))) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (+ 1 1) (+ (log (cbrt (* x (exp (* y y))))) (log (cbrt (* x (exp (* y y)))))) (log (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))))) (exp (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))))) (* (* x (exp (* y y))) (* x (exp (* y y)))) (* (cbrt (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))))) (cbrt (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))))) (cbrt (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))))) (* (* (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))))) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))))) (sqrt (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))))) (sqrt (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))))) (* (cbrt x) (cbrt x)) (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))) (* (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y)))))) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y))))))) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y)))))) (* (sqrt (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y)))))) (* (sqrt (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y)))))) (* 1 1) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (* (sqrt (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y)))))) (* (sqrt (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y)))))) (* 2 1/3) (* 2 1) (* (cbrt (* x (exp (* y y)))) (cbrt x)) (* (cbrt (* x (exp (* y y)))) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y))))))) (* (cbrt (* x (exp (* y y)))) (sqrt (cbrt (* x (exp (* y y)))))) (* (cbrt (* x (exp (* y y)))) 1) (* (cbrt (exp (* y y))) (cbrt (* x (exp (* y y))))) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y))))) (* (sqrt (cbrt (* x (exp (* y y))))) (cbrt (* x (exp (* y y))))) (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))) (+ (pow x 1/3) (* 1/3 (* (pow x 1/3) (pow y 2)))) (exp (* 1/3 (- (pow y 2) (log (/ 1 x))))) (* (exp (* 1/3 (- (pow y 2) (log (/ -1 x))))) (cbrt -1)) (+ (pow x 1/3) (* 1/3 (* (pow x 1/3) (pow y 2)))) (exp (* 1/3 (- (pow y 2) (log (/ 1 x))))) (* (exp (* 1/3 (- (pow y 2) (log (/ -1 x))))) (cbrt -1)) (+ (pow x 1/3) (* 1/3 (* (pow x 1/3) (pow y 2)))) (exp (* 1/3 (- (pow y 2) (log (/ 1 x))))) (* (exp (* 1/3 (- (pow y 2) (log (/ -1 x))))) (cbrt -1)) (+ (pow x 2/3) (* 2/3 (* (pow (pow x 2) 1/3) (pow y 2)))) (exp (* 1/3 (- (log (pow (exp (pow y 2)) 2)) (* 2 (log (/ 1 x)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (pow (exp (pow y 2)) 2)) (* 2 (log (/ -1 x))))))) 1.842 * * [simplify]: iteration 0 : 176 enodes (cost 507 ) 1.846 * * [simplify]: iteration 1 : 693 enodes (cost 438 ) 1.864 * * [simplify]: iteration 2 : 3526 enodes (cost 395 ) 1.956 * * [simplify]: iteration 3 : 5003 enodes (cost 377 ) 1.959 * [simplify]: Simplified to: (log (cbrt (* x (exp (* y y))))) (exp (cbrt (* x (exp (* y y))))) (pow x 1/3) (cbrt (exp (* y y))) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y)))))) (cbrt (cbrt (* x (exp (* y y))))) (* x (exp (* y y))) (sqrt (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y))))) (log (cbrt (* x (exp (* y y))))) (exp (cbrt (* x (exp (* y y))))) (pow x 1/3) (cbrt (exp (* y y))) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y)))))) (cbrt (cbrt (* x (exp (* y y))))) (* x (exp (* y y))) (sqrt (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y))))) (log (cbrt (* x (exp (* y y))))) (exp (cbrt (* x (exp (* y y))))) (pow x 1/3) (cbrt (exp (* y y))) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y)))))) (cbrt (cbrt (* x (exp (* y y))))) (* x (exp (* y y))) (sqrt (cbrt (* x (exp (* y y))))) (sqrt (cbrt (* x (exp (* y y))))) 2/3 2 (* (pow (exp (pow y 2)) 2) (pow x 2)) (pow (exp (+ (log x) (pow y 2))) 2/3) 2 (* 2 (log (cbrt (* x (exp (* y y)))))) (* 2 (log (cbrt (* x (exp (* y y)))))) (pow (exp 1) (pow (sqrt (cbrt (* x (exp (* y y))))) 4)) (* (pow (exp (pow y 2)) 2) (pow x 2)) (* (cbrt (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))))) (cbrt (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y))))))) (cbrt (* (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))))) (* (pow (exp (pow y 2)) 2) (pow x 2)) (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))) (pow x 2/3) (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))) (pow (cbrt (cbrt (* x (exp (* y y))))) 4) (* (cbrt (cbrt (* x (exp (* y y))))) (cbrt (cbrt (* x (exp (* y y)))))) (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))) 1 (pow (exp (+ (log x) (pow y 2))) 2/3) (cbrt (* x (exp (* y y)))) (cbrt (* x (exp (* y y)))) 2/3 2 (* (cbrt (* x (exp (* y y)))) (cbrt x)) (pow (cbrt (cbrt (* x (exp (* y y))))) 5) (pow (sqrt (cbrt (* x (exp (* y y))))) 3) (cbrt (* x (exp (* y y)))) (* (cbrt (exp (* y y))) (cbrt (* x (exp (* y y))))) (pow (cbrt (cbrt (* x (exp (* y y))))) 4) (pow (sqrt (cbrt (* x (exp (* y y))))) 3) (pow (exp (+ (log x) (pow y 2))) 2/3) (* (+ (* 1/3 (pow y 2)) 1) (pow x 1/3)) (cbrt (* x (exp (* y y)))) (* (exp (* 1/3 (- (pow y 2) (log (/ -1 x))))) (cbrt -1)) (* (+ (* 1/3 (pow y 2)) 1) (pow x 1/3)) (cbrt (* x (exp (* y y)))) (* (exp (* 1/3 (- (pow y 2) (log (/ -1 x))))) (cbrt -1)) (* (+ (* 1/3 (pow y 2)) 1) (pow x 1/3)) (cbrt (* x (exp (* y y)))) (* (exp (* 1/3 (- (pow y 2) (log (/ -1 x))))) (cbrt -1)) (+ (pow x 2/3) (* 2/3 (* (pow (pow x 2) 1/3) (pow y 2)))) (pow (exp (+ (log x) (pow y 2))) 2/3) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log (pow (exp (pow y 2)) 2)) (* 2 (log (/ -1 x))))))) 1.959 * * * [progress]: adding candidates to table 2.133 * [progress]: [Phase 3 of 3] Extracting. 2.133 * * [regime]: Finding splitpoints for: (# # # # # #) 2.134 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (exp (* y y)) (* x (exp (* y y))) y x) 2.134 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.181 * * * * [regimes]: Trying to branch on (exp (* y y)) from (# # # # # #) 2.222 * * * * [regimes]: Trying to branch on (* x (exp (* y y))) from (# # # # # #) 2.275 * * * * [regimes]: Trying to branch on (* x (exp (* y y))) from (# # #) 2.317 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.366 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.415 * * * [regime]: Found split indices: #