4.305 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673) 0.018 * * [simplify]: iteration 0 : 19 enodes (cost 5 ) 0.020 * * [simplify]: iteration 1 : 42 enodes (cost 5 ) 0.021 * * [simplify]: iteration 2 : 87 enodes (cost 5 ) 0.023 * * [simplify]: iteration 3 : 175 enodes (cost 5 ) 0.026 * * [simplify]: iteration 4 : 310 enodes (cost 5 ) 0.029 * * [simplify]: iteration 5 : 500 enodes (cost 5 ) 0.034 * * [simplify]: iteration 6 : 720 enodes (cost 5 ) 0.040 * * [simplify]: iteration 7 : 948 enodes (cost 5 ) 0.047 * * [simplify]: iteration 8 : 1148 enodes (cost 5 ) 0.054 * * [simplify]: iteration 9 : 1148 enodes (cost 5 ) 0.054 * [simplify]: Simplified to: (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1) 0.073 * [approximate]: Taking taylor expansion of (* x (- y 1.0)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (* x (- y 1.0)) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 1.0 in y 0.073 * [taylor]: Taking taylor expansion of (* x (- y 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (* x (- y 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 1.0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) x) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) x) in y 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of 1.0 in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) x) in x 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) x) in x 0.082 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of 1.0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in (x y) around 0 0.093 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 1.0 in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 1.0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * * * [progress]: simplifying candidates 0.102 * [simplify]: Simplifying using # : (* x (- y 1.0)) (+ (log x) (log (- y 1.0))) (log (* x (- y 1.0))) (exp (* x (- y 1.0))) (* (* (* x x) x) (* (* (- y 1.0) (- y 1.0)) (- y 1.0))) (* (cbrt (* x (- y 1.0))) (cbrt (* x (- y 1.0)))) (cbrt (* x (- y 1.0))) (* (* (* x (- y 1.0)) (* x (- y 1.0))) (* x (- y 1.0))) (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))) (* (sqrt x) (sqrt (- y 1.0))) (* (sqrt x) (sqrt (- y 1.0))) (* x y) (* x (- 1.0)) (* x y) (* x (- 1.0)) (* y x) (* (- 1.0) x) (* y x) (* (- 1.0) x) (* x (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* x (sqrt (- y 1.0))) (* x 1) (* x (+ (sqrt y) (sqrt 1.0))) (* x 1) (* (cbrt x) (- y 1.0)) (* (sqrt x) (- y 1.0)) (* x (- y 1.0)) (* x (- (pow y 3) (pow 1.0 3))) (* x (- (* y y) (* 1.0 1.0))) (- (* x y) (* 1.0 x)) (- (* x y) (* 1.0 x)) (- (* x y) (* 1.0 x)) 0.105 * * [simplify]: iteration 0 : 112 enodes (cost 101 ) 0.108 * * [simplify]: iteration 1 : 436 enodes (cost 88 ) 0.116 * * [simplify]: iteration 2 : 1549 enodes (cost 88 ) 0.139 * * [simplify]: iteration 3 : 5001 enodes (cost 88 ) 0.139 * [simplify]: Simplified to: (* x (- y 1.0)) (log (* x (- y 1.0))) (log (* x (- y 1.0))) (exp (* x (- y 1.0))) (pow (* x (- y 1.0)) 3) (* (cbrt (* x (- y 1.0))) (cbrt (* x (- y 1.0)))) (cbrt (* x (- y 1.0))) (pow (* x (- y 1.0)) 3) (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))) (* (sqrt x) (sqrt (- y 1.0))) (* (sqrt x) (sqrt (- y 1.0))) (* x y) (* x (- 1.0)) (* x y) (* x (- 1.0)) (* x y) (* x (- 1.0)) (* x y) (* x (- 1.0)) (* x (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* x (sqrt (- y 1.0))) x (* x (+ (sqrt y) (sqrt 1.0))) x (* (cbrt x) (- y 1.0)) (* (sqrt x) (- y 1.0)) (* x (- y 1.0)) (* x (- (pow y 3) (pow 1.0 3))) (* x (- (* y y) (* 1.0 1.0))) (* x (- y 1.0)) (* x (- y 1.0)) (* x (- y 1.0)) 0.139 * * * [progress]: adding candidates to table 0.182 * * [progress]: iteration 2 / 4 0.182 * * * [progress]: picking best candidate 0.184 * * * * [pick]: Picked # 0.184 * * * [progress]: localizing error 0.195 * * * [progress]: generating rewritten candidates 0.195 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1) 0.198 * * * [progress]: generating series expansions 0.198 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1) 0.198 * [approximate]: Taking taylor expansion of (- (* x y) (* 1.0 x)) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (- (* x y) (* 1.0 x)) in y 0.198 * [taylor]: Taking taylor expansion of (* x y) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.198 * [taylor]: Taking taylor expansion of 1.0 in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of (- (* x y) (* 1.0 x)) in x 0.198 * [taylor]: Taking taylor expansion of (* x y) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (- (* x y) (* 1.0 x)) in x 0.198 * [taylor]: Taking taylor expansion of (* x y) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 1.0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.209 * [taylor]: Taking taylor expansion of (* x y) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.209 * [taylor]: Taking taylor expansion of 1.0 in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.209 * [taylor]: Taking taylor expansion of (* x y) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.210 * [taylor]: Taking taylor expansion of (* x y) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 1.0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in y 0.225 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.225 * [taylor]: Taking taylor expansion of 1.0 in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.226 * [taylor]: Taking taylor expansion of (* x y) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.226 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.226 * [taylor]: Taking taylor expansion of (* x y) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.227 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.227 * [taylor]: Taking taylor expansion of (* x y) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of 1.0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * * * [progress]: simplifying candidates 0.239 * [simplify]: Simplifying using # : (* (exp (* x y)) (exp (* x (- 1.0)))) (log (+ (* x y) (* x (- 1.0)))) (exp (+ (* x y) (* x (- 1.0)))) (* (cbrt (+ (* x y) (* x (- 1.0)))) (cbrt (+ (* x y) (* x (- 1.0))))) (cbrt (+ (* x y) (* x (- 1.0)))) (* (* (+ (* x y) (* x (- 1.0))) (+ (* x y) (* x (- 1.0)))) (+ (* x y) (* x (- 1.0)))) (sqrt (+ (* x y) (* x (- 1.0)))) (sqrt (+ (* x y) (* x (- 1.0)))) (+ (pow (* x y) 3) (pow (* x (- 1.0)) 3)) (+ (* (* x y) (* x y)) (- (* (* x (- 1.0)) (* x (- 1.0))) (* (* x y) (* x (- 1.0))))) (- (* (* x y) (* x y)) (* (* x (- 1.0)) (* x (- 1.0)))) (- (* x y) (* x (- 1.0))) (+ y (- 1.0)) (- (* x y) (* 1.0 x)) (- (* x y) (* 1.0 x)) (- (* x y) (* 1.0 x)) 0.242 * * [simplify]: iteration 0 : 105 enodes (cost 93 ) 0.245 * * [simplify]: iteration 1 : 419 enodes (cost 70 ) 0.255 * * [simplify]: iteration 2 : 1910 enodes (cost 66 ) 0.299 * * [simplify]: iteration 3 : 5001 enodes (cost 65 ) 0.300 * [simplify]: Simplified to: (pow (exp x) (- y 1.0)) (+ (log x) (log (- y 1.0))) (pow (exp x) (- y 1.0)) (* (cbrt (+ (* x y) (* x (- 1.0)))) (cbrt (+ (* x y) (* x (- 1.0))))) (cbrt (+ (* x y) (* x (- 1.0)))) (pow (* (- y 1.0) x) 3) (sqrt (+ (* x y) (* x (- 1.0)))) (sqrt (+ (* x y) (* x (- 1.0)))) (- (pow (* x y) 3) (pow (* 1.0 x) 3)) (* x (+ (* y (* x y)) (* 1.0 (* x (+ y 1.0))))) (* (* x x) (- (* y y) (* 1.0 1.0))) (* x (+ y 1.0)) (- y 1.0) (* (- y 1.0) x) (* (- y 1.0) x) (* (- y 1.0) x) 0.300 * * * [progress]: adding candidates to table 0.333 * [progress]: [Phase 3 of 3] Extracting. 0.334 * [simplify]: Simplifying using # : (+ (- (+ (* x y) (* x (- 1.0))) (* y 0.5)) 0.918938533204673) 0.335 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 0.335 * * [simplify]: iteration 1 : 23 enodes (cost 7 ) 0.335 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.336 * * [simplify]: iteration 3 : 24 enodes (cost 7 ) 0.336 * [simplify]: Simplified to: (+ (- (+ (* x y) (* x (- 1.0))) (* y 0.5)) 0.918938533204673) 0.777 * [regime-testing]: End program error score: 0.010251281410176272