0.721 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.031 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.032 * * [simplify]: iteration 1 : 16 enodes (cost 3 ) 0.034 * * [simplify]: iteration 2 : 26 enodes (cost 3 ) 0.035 * * [simplify]: iteration 3 : 33 enodes (cost 3 ) 0.036 * * [simplify]: iteration 4 : 33 enodes (cost 3 ) 0.037 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.249 * * * [progress]: generating series expansions 0.249 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.253 * [approximate]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in (x y) around 0 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in y 0.254 * [taylor]: Taking taylor expansion of 0.5 in y 0.254 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in x 0.255 * [taylor]: Taking taylor expansion of 0.5 in x 0.255 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (- (pow x 2) y)) in x 0.255 * [taylor]: Taking taylor expansion of 0.5 in x 0.255 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.256 * [taylor]: Taking taylor expansion of -0.5 in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of 0.5 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [approximate]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.257 * [taylor]: Taking taylor expansion of 0.5 in y 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.258 * [taylor]: Taking taylor expansion of 0.5 in x 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.258 * [taylor]: Taking taylor expansion of 0.5 in x 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of 0.5 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of (neg (* 0.5 (/ 1 y))) in y 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.258 * [taylor]: Taking taylor expansion of 0.5 in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [approximate]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.260 * [taylor]: Taking taylor expansion of 0.5 in y 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.260 * [taylor]: Taking taylor expansion of 0.5 in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.260 * [taylor]: Taking taylor expansion of 0.5 in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of 0.5 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.261 * [taylor]: Taking taylor expansion of 0.5 in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.262 * * * [progress]: simplifying candidates 0.262 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) (+ (log 0.5) (log (- (* x x) y))) (log (* 0.5 (- (* x x) y))) (exp (* 0.5 (- (* x x) y))) (* (* (* 0.5 0.5) 0.5) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y))) (* (cbrt (* 0.5 (- (* x x) y))) (cbrt (* 0.5 (- (* x x) y)))) (cbrt (* 0.5 (- (* x x) y))) (* (* (* 0.5 (- (* x x) y)) (* 0.5 (- (* x x) y))) (* 0.5 (- (* x x) y))) (sqrt (* 0.5 (- (* x x) y))) (sqrt (* 0.5 (- (* x x) y))) (* (sqrt 0.5) (sqrt (- (* x x) y))) (* (sqrt 0.5) (sqrt (- (* x x) y))) (* 0.5 (* x x)) (* 0.5 (neg y)) (* 0.5 (* x x)) (* 0.5 (neg y)) (* (* x x) 0.5) (* (neg y) 0.5) (* (* x x) 0.5) (* (neg y) 0.5) (* 0.5 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (* 0.5 (sqrt (- (* x x) y))) (* 0.5 1) (* 0.5 (+ x (sqrt y))) (* (cbrt 0.5) (- (* x x) y)) (* (sqrt 0.5) (- (* x x) y)) (* 0.5 (- (* x x) y)) (* 0.5 (- (pow (* x x) 3) (pow y 3))) (* 0.5 (- (* (* x x) (* x x)) (* y y))) (- (* 0.5 (pow x 2)) (* 0.5 y)) (- (* 0.5 (pow x 2)) (* 0.5 y)) (- (* 0.5 (pow x 2)) (* 0.5 y)) 0.265 * * [simplify]: iteration 0 : 129 enodes (cost 130 ) 0.268 * * [simplify]: iteration 1 : 552 enodes (cost 116 ) 0.279 * * [simplify]: iteration 2 : 2739 enodes (cost 115 ) 0.328 * * [simplify]: iteration 3 : 5003 enodes (cost 115 ) 0.329 * [simplify]: Simplified to: (* 0.5 (- (pow x 2) y)) (log (* 0.5 (- (* x x) y))) (log (* 0.5 (- (* x x) y))) (exp (* 0.5 (- (* x x) y))) (pow (* 0.5 (- (pow x 2) y)) 3) (* (cbrt (* 0.5 (- (* x x) y))) (cbrt (* 0.5 (- (* x x) y)))) (cbrt (* 0.5 (- (* x x) y))) (pow (* 0.5 (- (pow x 2) y)) 3) (sqrt (* 0.5 (- (* x x) y))) (sqrt (* 0.5 (- (* x x) y))) (* (sqrt 0.5) (sqrt (- (* x x) y))) (* (sqrt 0.5) (sqrt (- (* x x) y))) (* 0.5 (* x x)) (* 0.5 (neg y)) (* 0.5 (* x x)) (* 0.5 (neg y)) (* 0.5 (* x x)) (* 0.5 (neg y)) (* 0.5 (* x x)) (* 0.5 (neg y)) (* 0.5 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (* 0.5 (sqrt (- (* x x) y))) 0.5 (* 0.5 (+ x (sqrt y))) (* (cbrt 0.5) (- (* x x) y)) (* (sqrt 0.5) (- (* x x) y)) (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow (* x x) 3) (pow y 3))) (* 0.5 (+ (neg (* y y)) (pow x 4))) (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow x 2) y)) (* 0.5 (- (pow x 2) y)) 0.329 * * * [progress]: adding candidates to table 0.356 * [progress]: [Phase 3 of 3] Extracting. 0.359 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.359 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.360 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.360 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 1.049 * [regime-testing]: End program error score: 0.02924201657652313