22.114 * [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 # : (sqrt (+ (* x x) (* y y))) 0.017 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.018 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.019 * * [simplify]: iteration done : 7 enodes (cost 8 ) 0.019 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.035 * [taylor]: Taking taylor expansion of 1/2 in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of 1/2 in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of 1/2 in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.067 * * * [progress]: simplifying candidates 0.067 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) 0.069 * * [simplify]: iteration 0 : 38 enodes (cost 213 ) 0.075 * * [simplify]: iteration 1 : 91 enodes (cost 186 ) 0.094 * * [simplify]: iteration 2 : 207 enodes (cost 170 ) 0.133 * * [simplify]: iteration 3 : 463 enodes (cost 164 ) 0.249 * * [simplify]: iteration 4 : 1051 enodes (cost 164 ) 0.674 * * [simplify]: iteration 5 : 2857 enodes (cost 164 ) 1.661 * * [simplify]: iteration done : 5000 enodes (cost 164 ) 1.661 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (pow y 4) (- (pow x 4) (* (* x x) (* y y))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (- x) 1.662 * * * [progress]: adding candidates to table 1.706 * * [progress]: iteration 2 / 4 1.706 * * * [progress]: picking best candidate 1.709 * * * * [pick]: Picked # 1.709 * * * [progress]: localizing error 1.710 * * * [progress]: generating rewritten candidates 1.710 * * * [progress]: generating series expansions 1.710 * * * [progress]: simplifying candidates 1.710 * [simplify]: Simplifying using # : 1.711 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.711 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.711 * [simplify]: Simplified to: 1.711 * * * [progress]: adding candidates to table 1.711 * * [progress]: iteration 3 / 4 1.711 * * * [progress]: picking best candidate 1.713 * * * * [pick]: Picked # 1.713 * * * [progress]: localizing error 1.714 * * * [progress]: generating rewritten candidates 1.714 * * * [progress]: generating series expansions 1.714 * * * [progress]: simplifying candidates 1.714 * [simplify]: Simplifying using # : 1.715 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.715 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.715 * [simplify]: Simplified to: 1.715 * * * [progress]: adding candidates to table 1.715 * * [progress]: iteration 4 / 4 1.715 * * * [progress]: picking best candidate 1.716 * * * * [pick]: Picked # 1.716 * * * [progress]: localizing error 1.717 * * * [progress]: generating rewritten candidates 1.717 * * * [progress]: generating series expansions 1.717 * * * [progress]: simplifying candidates 1.717 * [simplify]: Simplifying using # : 1.718 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.718 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.718 * [simplify]: Simplified to: 1.718 * * * [progress]: adding candidates to table 1.718 * [progress]: [Phase 3 of 3] Extracting. 1.718 * * [regime]: Finding splitpoints for: (# # # #) 1.718 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 1.718 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.740 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.758 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.776 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.786 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 1.808 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # #) 1.832 * * * * [regimes]: Trying to branch on y from (# # # #) 1.889 * * * * [regimes]: Trying to branch on x from (# # # #) 1.923 * * * [regime]: Found split indices: #