4.989 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.020 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.021 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.022 * * [simplify]: iteration done : 7 enodes (cost 8 ) 0.022 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.037 * [taylor]: Taking taylor expansion of 1/2 in y 0.037 * [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 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of 1 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of 1/2 in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [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 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 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 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of 1/2 in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * * * [progress]: simplifying candidates 0.042 * [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) 0.043 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.043 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 0.044 * * [simplify]: iteration done : 8 enodes (cost 9 ) 0.045 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.046 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 0.047 * * [simplify]: iteration done : 8 enodes (cost 9 ) 0.047 * * [simplify]: iteration 0 : 8 enodes (cost 19 ) 0.048 * * [simplify]: iteration 1 : 9 enodes (cost 19 ) 0.049 * * [simplify]: iteration done : 9 enodes (cost 19 ) 0.050 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.058 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 0.059 * * [simplify]: iteration done : 8 enodes (cost 9 ) 0.059 * * [simplify]: iteration 0 : 8 enodes (cost 26 ) 0.061 * * [simplify]: iteration 1 : 10 enodes (cost 16 ) 0.062 * * [simplify]: iteration 2 : 21 enodes (cost 10 ) 0.066 * * [simplify]: iteration 3 : 34 enodes (cost 10 ) 0.070 * * [simplify]: iteration 4 : 42 enodes (cost 10 ) 0.075 * * [simplify]: iteration 5 : 52 enodes (cost 10 ) 0.082 * * [simplify]: iteration 6 : 73 enodes (cost 10 ) 0.094 * * [simplify]: iteration 7 : 134 enodes (cost 10 ) 0.150 * * [simplify]: iteration 8 : 350 enodes (cost 10 ) 0.659 * * [simplify]: iteration 9 : 1295 enodes (cost 10 ) 3.149 * * [simplify]: iteration done : 5000 enodes (cost 10 ) 3.150 * * [simplify]: iteration 0 : 8 enodes (cost 18 ) 3.151 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 3.152 * * [simplify]: iteration done : 10 enodes (cost 9 ) 3.153 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 3.154 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 3.155 * * [simplify]: iteration done : 8 enodes (cost 9 ) 3.155 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 3.156 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 3.157 * * [simplify]: iteration done : 8 enodes (cost 9 ) 3.157 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 3.158 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 3.159 * * [simplify]: iteration done : 8 enodes (cost 9 ) 3.159 * * [simplify]: iteration 0 : 2 enodes (cost 2 ) 3.160 * * [simplify]: iteration 1 : 4 enodes (cost 1 ) 3.160 * * [simplify]: iteration done : 4 enodes (cost 1 ) 3.160 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 3.161 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 3.162 * * [simplify]: iteration done : 7 enodes (cost 8 ) 3.163 * * [simplify]: iteration 0 : 9 enodes (cost 12 ) 3.164 * * [simplify]: iteration 1 : 27 enodes (cost 12 ) 3.168 * * [simplify]: iteration 2 : 64 enodes (cost 8 ) 3.187 * * [simplify]: iteration 3 : 119 enodes (cost 8 ) 3.213 * * [simplify]: iteration 4 : 261 enodes (cost 8 ) 3.324 * * [simplify]: iteration 5 : 697 enodes (cost 8 ) 3.905 * * [simplify]: iteration 6 : 2312 enodes (cost 8 ) 5.296 * * [simplify]: iteration done : 5000 enodes (cost 8 ) 5.297 * * [simplify]: iteration 0 : 10 enodes (cost 24 ) 5.298 * * [simplify]: iteration 1 : 32 enodes (cost 20 ) 5.304 * * [simplify]: iteration 2 : 84 enodes (cost 18 ) 5.326 * * [simplify]: iteration 3 : 177 enodes (cost 16 ) 5.371 * * [simplify]: iteration 4 : 309 enodes (cost 16 ) 5.480 * * [simplify]: iteration 5 : 723 enodes (cost 16 ) 6.043 * * [simplify]: iteration 6 : 1972 enodes (cost 16 ) 7.260 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 7.261 * * [simplify]: iteration 0 : 8 enodes (cost 16 ) 7.262 * * [simplify]: iteration 1 : 21 enodes (cost 16 ) 7.266 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 7.273 * * [simplify]: iteration 3 : 90 enodes (cost 8 ) 7.295 * * [simplify]: iteration 4 : 215 enodes (cost 8 ) 7.366 * * [simplify]: iteration 5 : 576 enodes (cost 8 ) 7.635 * * [simplify]: iteration 6 : 1483 enodes (cost 8 ) 9.087 * * [simplify]: iteration done : 5001 enodes (cost 8 ) 9.087 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 9.088 * * [simplify]: iteration 1 : 11 enodes (cost 8 ) 9.090 * * [simplify]: iteration 2 : 18 enodes (cost 8 ) 9.092 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 9.104 * * [simplify]: iteration 4 : 58 enodes (cost 8 ) 9.115 * * [simplify]: iteration 5 : 99 enodes (cost 8 ) 9.137 * * [simplify]: iteration 6 : 157 enodes (cost 8 ) 9.193 * * [simplify]: iteration 7 : 325 enodes (cost 8 ) 9.949 * * [simplify]: iteration 8 : 1570 enodes (cost 8 ) 16.556 * * [simplify]: iteration done : 5000 enodes (cost 8 ) 16.557 * * [simplify]: iteration 0 : 3 enodes (cost 3 ) 16.558 * * [simplify]: iteration 1 : 6 enodes (cost 1 ) 16.558 * * [simplify]: iteration done : 6 enodes (cost 1 ) 16.558 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 16.559 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 16.560 * * [simplify]: iteration done : 8 enodes (cost 9 ) 16.561 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 16.562 * * [simplify]: iteration 1 : 8 enodes (cost 9 ) 16.562 * * [simplify]: iteration done : 8 enodes (cost 9 ) 16.563 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 16.563 * * [simplify]: iteration done : 1 enodes (cost 1 ) 16.564 * * [simplify]: iteration 0 : 1 enodes (cost 1 ) 16.564 * * [simplify]: iteration done : 1 enodes (cost 1 ) 16.565 * * [simplify]: iteration 0 : 3 enodes (cost 3 ) 16.565 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 16.565 * * [simplify]: iteration done : 5 enodes (cost 2 ) 16.566 * [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 x 6) (pow y 6))) (sqrt (- (pow y 4) (* (* x x) (- (* y y) (* x x))))) (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 (neg x) 16.566 * * * [progress]: adding candidates to table 16.596 * * [progress]: iteration 2 / 4 16.596 * * * [progress]: picking best candidate 16.602 * * * * [pick]: Picked # 16.602 * * * [progress]: localizing error 16.603 * * * [progress]: generating rewritten candidates 16.603 * * * [progress]: generating series expansions 16.603 * * * [progress]: simplifying candidates 16.603 * [simplify]: Simplifying using # : 16.603 * [simplify]: Simplified to: 16.603 * * * [progress]: adding candidates to table 16.603 * * [progress]: iteration 3 / 4 16.603 * * * [progress]: picking best candidate 16.607 * * * * [pick]: Picked # 16.608 * * * [progress]: localizing error 16.609 * * * [progress]: generating rewritten candidates 16.609 * * * [progress]: generating series expansions 16.609 * * * [progress]: simplifying candidates 16.610 * [simplify]: Simplifying using # : 16.610 * [simplify]: Simplified to: 16.610 * * * [progress]: adding candidates to table 16.610 * * [progress]: iteration 4 / 4 16.610 * * * [progress]: picking best candidate 16.612 * * * * [pick]: Picked # 16.612 * * * [progress]: localizing error 16.613 * * * [progress]: generating rewritten candidates 16.613 * * * [progress]: generating series expansions 16.613 * * * [progress]: simplifying candidates 16.613 * [simplify]: Simplifying using # : 16.613 * [simplify]: Simplified to: 16.613 * * * [progress]: adding candidates to table 16.613 * [progress]: [Phase 3 of 3] Extracting. 16.613 * * [regime]: Finding splitpoints for: (# # # #) 16.614 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 16.614 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 16.651 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 16.692 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 16.735 * * * * [regimes]: Trying to branch on (* x x) from (# #) 16.773 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 16.815 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # #) 16.863 * * * * [regimes]: Trying to branch on y from (# # # #) 16.918 * * * * [regimes]: Trying to branch on x from (# # # #) 16.979 * * * [regime]: Found split indices: #