0.750 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.225 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.227 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.228 * * * * [points]: Setting MPFR precision to 64 0.228 * * * * [points]: Setting MPFR precision to 320 0.229 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.229 * * * * [points]: Setting MPFR precision to 64 0.229 * * * * [points]: Setting MPFR precision to 320 0.229 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.230 * * * * [points]: Setting MPFR precision to 64 0.230 * * * * [points]: Setting MPFR precision to 320 0.231 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.231 * * * * [points]: Setting MPFR precision to 64 0.232 * * * * [points]: Setting MPFR precision to 320 0.233 * * * * [points]: Computing exacts for 256 points 0.233 * * * * [points]: Setting MPFR precision to 64 0.236 * * * * [points]: Setting MPFR precision to 320 0.239 * * * * [points]: Filtering points with unrepresentable outputs 0.240 * * * * [points]: Sampling 4 additional inputs, on iter 1 have 252 / 256 0.240 * * * * [points]: Computing exacts for 4 points 0.240 * * * * [points]: Setting MPFR precision to 64 0.240 * * * * [points]: Setting MPFR precision to 320 0.240 * * * * [points]: Filtering points with unrepresentable outputs 0.240 * * * * [points]: Sampled 256 points with exact outputs 0.246 * * * [progress]: [2/2] Setting up program. 0.250 * [progress]: [Phase 2 of 3] Improving. 0.252 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.684 * * [simplify]: iteration 0 : 228 enodes (cost 7 ) 0.684 * * [simplify]: iteration 1 : 228 enodes (cost 7 ) 0.685 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.687 * * [progress]: iteration 1 / 4 0.687 * * * [progress]: picking best candidate 0.689 * * * * [pick]: Picked # 0.689 * * * [progress]: localizing error 0.709 * * * [progress]: generating rewritten candidates 0.710 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.717 * * * [progress]: generating series expansions 0.718 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.722 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.723 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of (neg y) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of 0 in y 0.725 * [taylor]: Taking taylor expansion of 1 in y 0.725 * [taylor]: Taking taylor expansion of 0 in y 0.726 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of 1 in y 0.727 * [taylor]: Taking taylor expansion of 0 in y 0.727 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of 1 in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.730 * * * [progress]: simplifying candidates 0.730 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (neg y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.777 * * [simplify]: iteration 0 : 4808 enodes (cost 111 ) 0.777 * * [simplify]: iteration 1 : 4808 enodes (cost 111 ) 0.778 * [simplify]: Simplified to: (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow x 6) (pow y 3)) (+ (pow x 4) (* y (+ (* x x) y))) (neg y) (- (pow x 4) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- (* x x) y) (- (* x x) y) (- (* x x) y) 0.778 * * * [progress]: adding candidates to table 0.796 * * [progress]: iteration 2 / 4 0.796 * * * [progress]: picking best candidate 0.801 * * * * [pick]: Picked # 0.801 * * * [progress]: localizing error 0.808 * * * [progress]: generating rewritten candidates 0.808 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.821 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1) 0.825 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 0.832 * * * [progress]: generating series expansions 0.832 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.832 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.832 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.832 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.832 * [taylor]: Taking taylor expansion of x in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of (neg y) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of 1 in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.833 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of 1 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.834 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.835 * [taylor]: Taking taylor expansion of x in y 0.835 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.835 * [taylor]: Taking taylor expansion of y in x 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.835 * [taylor]: Taking taylor expansion of y in x 0.835 * [taylor]: Taking taylor expansion of 1 in y 0.835 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.836 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1) 0.836 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.836 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of y in x 0.836 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of y in x 0.836 * [taylor]: Taking taylor expansion of (neg y) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.837 * [taylor]: Taking taylor expansion of 1 in y 0.837 * [taylor]: Taking taylor expansion of 0 in y 0.837 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.837 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of 1 in y 0.837 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.838 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of 1 in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.840 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 0.840 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.840 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of (neg y) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of 1 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.840 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.841 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.841 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of 1 in y 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.842 * [taylor]: Taking taylor expansion of 1 in y 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.843 * [taylor]: Taking taylor expansion of 0 in y 0.843 * * * [progress]: simplifying candidates 0.849 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- (* x x) y) (- (* x x) y)) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (- (* x x) y) (- (* x x) y)) (+ 1 1) (+ (log (sqrt (- (* x x) y))) (log (sqrt (- (* x x) y)))) (log (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (exp (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (* (* (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) (* (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y)))) (* (cbrt (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (cbrt (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))))) (cbrt (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (* (* (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (* (- (* x x) y) (- (* x x) y)) (sqrt (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (sqrt (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (* (sqrt (- (pow (* x x) 3) (pow y 3))) (sqrt (- (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))) (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))) (* (sqrt (- (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))) (sqrt (+ (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y)))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y)))) (* (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (* (sqrt (cbrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (sqrt (+ x (sqrt y))) (sqrt (+ x (sqrt y)))) (* (sqrt (- x (sqrt y))) (sqrt (- x (sqrt y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* 1 1) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (- (* x x) y)) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (* (sqrt (- (* x x) y)) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (* (sqrt (- (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (- (* x x) y)) (sqrt 1)) (* (sqrt (- (* x x) y)) (sqrt (+ x (sqrt y)))) (* (sqrt (- (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (- (* x x) y)) 1) (* (cbrt (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) (* (sqrt (cbrt (- (* x x) y))) (sqrt (- (* x x) y))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (sqrt (- x (sqrt y))) (sqrt (- (* x x) y))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (sqrt (- (* x x) y)) (sqrt (- (pow (* x x) 3) (pow y 3)))) (* (sqrt (- (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (- (pow (* x x) 3) (pow y 3))) (sqrt (- (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (neg y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (neg y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.889 * * [simplify]: iteration 0 : 5220 enodes (cost 762 ) 0.892 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (- (* x x) y)) 4) (- (* x x) y) (pow (sqrt (- (* x x) y)) 4) 2 (log (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (pow (- (* x x) y) 3) (pow (cbrt (sqrt (- (* x x) y))) 4) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (pow (sqrt (- (* x x) y)) 4) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow x 6) (pow y 3)) (+ (pow x 4) (* y (+ (* x x) y))) (* (sqrt (- (pow x 6) (pow y 3))) (sqrt (- (pow x 4) (* y y)))) (* (sqrt (+ (pow x 4) (* y (+ (* x x) y)))) (sqrt (+ (* x x) y))) (* (sqrt (- (pow x 6) (pow y 3))) (sqrt (- (pow x 4) (* y y)))) (* (sqrt (+ (pow x 4) (* y (+ (* x x) y)))) (sqrt (+ (* x x) y))) (- (pow x 4) (* y y)) (+ (* x x) y) (pow (cbrt (sqrt (- (* x x) y))) 4) (cbrt (- (* x x) y)) (pow (cbrt (sqrt (- (* x x) y))) 4) (cbrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) 1 (- (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) 1 (- (* x x) y) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) 1 2 1 (pow (cbrt (sqrt (- (* x x) y))) 5) (* (sqrt (- (* x x) y)) (fabs (cbrt (- (* x x) y)))) (pow (sqrt (sqrt (- (* x x) y))) 3) (sqrt (- (* x x) y)) (* (sqrt (- (* x x) y)) (sqrt (+ x (sqrt y)))) (pow (sqrt (sqrt (- (* x x) y))) 3) (sqrt (- (* x x) y)) (pow (cbrt (sqrt (- (* x x) y))) 4) (* (sqrt (- (* x x) y)) (sqrt (cbrt (- (* x x) y)))) (pow (sqrt (sqrt (- (* x x) y))) 3) (- (* x x) y) (* (sqrt (- (* x x) y)) (sqrt (- x (sqrt y)))) (pow (sqrt (sqrt (- (* x x) y))) 3) (- (* x x) y) (* (sqrt (- (* x x) y)) (sqrt (- (pow x 6) (pow y 3)))) (* (sqrt (- (* x x) y)) (sqrt (- (pow x 4) (* y y)))) (* (sqrt (- (* x x) y)) (sqrt (- (pow x 6) (pow y 3)))) (* (sqrt (- (* x x) y)) (sqrt (- (pow x 4) (* y y)))) (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (pow (cbrt (sqrt (- (* x x) y))) 4) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow x 6) (pow y 3)) (+ (pow x 4) (* y (+ (* x x) y))) (neg y) (- (pow x 4) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (pow (cbrt (sqrt (- (* x x) y))) 4) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow x 6) (pow y 3)) (+ (pow x 4) (* y (+ (* x x) y))) (neg y) (- (pow x 4) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (* x x) y) (- (* x x) y) 0.893 * * * [progress]: adding candidates to table 0.960 * * [progress]: iteration 3 / 4 0.960 * * * [progress]: picking best candidate 0.962 * * * * [pick]: Picked # 0.963 * * * [progress]: localizing error 0.969 * * * [progress]: generating rewritten candidates 0.969 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.979 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.984 * * * [progress]: generating series expansions 0.984 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.984 * [approximate]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in (x y) around 0 0.984 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in y 0.984 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in x 0.984 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in x 0.985 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.985 * [taylor]: Taking taylor expansion of -1 in y 0.985 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.986 * [taylor]: Taking taylor expansion of 1 in y 0.986 * [taylor]: Taking taylor expansion of 0 in y 0.986 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in (x y) around 0 0.986 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 0.986 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.986 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.986 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 0.987 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in x 0.987 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in x 0.987 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of 1 in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [approximate]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in (x y) around 0 0.990 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 0.990 * [taylor]: Taking taylor expansion of -1 in y 0.990 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in y 0.990 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in y 0.990 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.990 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.990 * [taylor]: Taking taylor expansion of -1 in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.991 * [taylor]: Taking taylor expansion of x in y 0.991 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 0.991 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.991 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.991 * [taylor]: Taking taylor expansion of -1 in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.991 * [taylor]: Taking taylor expansion of x in y 0.991 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in x 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.991 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in x 0.991 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.991 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.991 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in x 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.991 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in x 0.991 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.991 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.992 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.992 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.992 * [taylor]: Taking taylor expansion of -1 in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of 1 in y 0.992 * [taylor]: Taking taylor expansion of 0 in y 0.992 * [taylor]: Taking taylor expansion of (neg (pow (sqrt (/ -1 y)) 2)) in y 0.992 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 0.993 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.993 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.993 * [taylor]: Taking taylor expansion of -1 in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.993 * [taylor]: Taking taylor expansion of 0 in y 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.995 * [taylor]: Taking taylor expansion of 0 in y 0.996 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.996 * [approximate]: Taking taylor expansion of (+ x (sqrt y)) in (x y) around 0 0.996 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 0.996 * [taylor]: Taking taylor expansion of x in y 0.996 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of 1 in y 0.997 * [taylor]: Taking taylor expansion of 0 in y 0.997 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in (x y) around 0 0.997 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 0.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of 1 in y 0.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of 0 in y 0.998 * [taylor]: Taking taylor expansion of 0 in y 0.998 * [approximate]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in (x y) around 0 0.998 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 0.998 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.999 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.999 * [taylor]: Taking taylor expansion of -1 in y 0.999 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.999 * [taylor]: Taking taylor expansion of x in y 0.999 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.999 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.999 * [taylor]: Taking taylor expansion of -1 in x 0.999 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.999 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.999 * [taylor]: Taking taylor expansion of -1 in x 0.999 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (neg 1) in y 0.999 * [taylor]: Taking taylor expansion of 1 in y 0.999 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.999 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.999 * [taylor]: Taking taylor expansion of -1 in y 0.999 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.000 * * * [progress]: simplifying candidates 1.001 * [simplify]: Simplifying using # : (* (+ x (sqrt y)) (- x (sqrt y))) (+ (log (+ x (sqrt y))) (log (- x (sqrt y)))) (log (* (+ x (sqrt y)) (- x (sqrt y)))) (exp (* (+ x (sqrt y)) (- x (sqrt y)))) (* (* (* (+ x (sqrt y)) (+ x (sqrt y))) (+ x (sqrt y))) (* (* (- x (sqrt y)) (- x (sqrt y))) (- x (sqrt y)))) (* (cbrt (* (+ x (sqrt y)) (- x (sqrt y)))) (cbrt (* (+ x (sqrt y)) (- x (sqrt y))))) (cbrt (* (+ x (sqrt y)) (- x (sqrt y)))) (* (* (* (+ x (sqrt y)) (- x (sqrt y))) (* (+ x (sqrt y)) (- x (sqrt y)))) (* (+ x (sqrt y)) (- x (sqrt y)))) (sqrt (* (+ x (sqrt y)) (- x (sqrt y)))) (sqrt (* (+ x (sqrt y)) (- x (sqrt y)))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- (pow x 3) (pow (sqrt y) 3))) (* (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (+ (* x x) (+ (* (sqrt y) (sqrt y)) (* x (sqrt y))))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- (* x x) (* (sqrt y) (sqrt y)))) (* (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (+ x (sqrt y))) (* (- (* x x) (* (sqrt y) (sqrt y))) (- (pow x 3) (pow (sqrt y) 3))) (* (- x (sqrt y)) (+ (* x x) (+ (* (sqrt y) (sqrt y)) (* x (sqrt y))))) (* (- (* x x) (* (sqrt y) (sqrt y))) (- (* x x) (* (sqrt y) (sqrt y)))) (* (- x (sqrt y)) (+ x (sqrt y))) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* (+ x (sqrt y)) x) (* (+ x (sqrt y)) (neg (sqrt y))) (* x (+ x (sqrt y))) (* (neg (sqrt y)) (+ x (sqrt y))) (* (+ x (sqrt y)) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y))))) (* (+ x (sqrt y)) (sqrt (- x (sqrt y)))) (* (+ x (sqrt y)) 1) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (* (+ x (sqrt y)) 1) (* (cbrt (+ x (sqrt y))) (- x (sqrt y))) (* (sqrt (+ x (sqrt y))) (- x (sqrt y))) (* (+ x (sqrt y)) (- x (sqrt y))) (* (+ x (sqrt y)) (- x (sqrt y))) (* (+ x (sqrt y)) (- (pow x 3) (pow (sqrt y) 3))) (* (+ x (sqrt y)) (- (* x x) (* (sqrt y) (sqrt y)))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- x (sqrt y))) (* (- (* x x) (* (sqrt y) (sqrt y))) (- x (sqrt y))) (* (exp x) (exp (sqrt y))) (log (+ x (sqrt y))) (exp (+ x (sqrt y))) (* (cbrt (+ x (sqrt y))) (cbrt (+ x (sqrt y)))) (cbrt (+ x (sqrt y))) (* (* (+ x (sqrt y)) (+ x (sqrt y))) (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (+ (pow x 3) (pow (sqrt y) 3)) (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (- (* x x) (* (sqrt y) (sqrt y))) (- x (sqrt y)) (+ x (sqrt y)) (- (pow x 2) y) (- (pow x 2) y) (- (+ (pow x 2) (* 2 (/ (pow NAN 4) y))) (pow NAN 2)) (+ (* (pow NAN 3) (pow y 2)) (+ x (* NAN y))) (+ (/ (pow NAN 3) y) (+ NAN x)) (- (+ NAN x) (/ (pow NAN 3) y)) 1.057 * * [simplify]: iteration 0 : 4919 enodes (cost 475 ) 1.057 * * [simplify]: iteration 1 : 4919 enodes (cost 475 ) 1.060 * [simplify]: Simplified to: (- (* x x) y) (log (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (pow (- (* x x) y) 3) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (* (+ (pow x 3) (pow y 3/2)) (- (pow x 3) (pow y 3/2))) (* (+ y (* x (- x (sqrt y)))) (+ y (* x (+ x (sqrt y))))) (* (- (* x x) y) (+ (pow x 3) (pow y 3/2))) (* (+ x (sqrt y)) (+ y (* x (- x (sqrt y))))) (* (- (* x x) y) (- (pow x 3) (pow y 3/2))) (* (- x (sqrt y)) (+ y (* x (+ x (sqrt y))))) (* (- (* x x) y) (- (* x x) y)) (- (* x x) y) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* x (+ x (sqrt y))) (- (* x (neg (sqrt y))) y) (* x (+ x (sqrt y))) (- (* x (neg (sqrt y))) y) (* (+ x (sqrt y)) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y))))) (* (+ x (sqrt y)) (sqrt (- x (sqrt y)))) (+ x (sqrt y)) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (+ x (sqrt y)) (* (- x (sqrt y)) (cbrt (+ x (sqrt y)))) (* (- x (sqrt y)) (sqrt (+ x (sqrt y)))) (- (* x x) y) (- (* x x) y) (* (+ x (sqrt y)) (- (pow x 3) (pow y 3/2))) (* (+ x (sqrt y)) (- (* x x) y)) (* (- x (sqrt y)) (+ (pow x 3) (pow y 3/2))) (* (- x (sqrt y)) (- (* x x) y)) (exp (+ x (sqrt y))) (log (+ x (sqrt y))) (exp (+ x (sqrt y))) (* (cbrt (+ x (sqrt y))) (cbrt (+ x (sqrt y)))) (cbrt (+ x (sqrt y))) (pow (+ x (sqrt y)) 3) (sqrt (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (+ (pow x 3) (pow y 3/2)) (+ y (* x (- x (sqrt y)))) (- (* x x) y) (- x (sqrt y)) (+ x (sqrt y)) (- (* x x) y) (- (* x x) y) (+ (* x x) (- (* 2 (/ (pow NAN 4) y)) (* NAN NAN))) (+ x (* y (+ (* y (pow NAN 3)) NAN))) (+ x (+ NAN (/ (pow NAN 3) y))) (+ x (- NAN (/ (pow NAN 3) y))) 1.060 * * * [progress]: adding candidates to table 1.108 * [progress]: [Phase 3 of 3] Extracting. 1.108 * * [regime]: Finding splitpoints for: (# # #) 1.109 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 1.109 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.146 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# # #) 1.180 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# # #) 1.218 * * * * [regimes]: Trying to branch on y from (# # #) 1.253 * * * * [regimes]: Trying to branch on x from (# # #) 1.286 * * * [regime]: Found split indices: #