7.984 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.016 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.016 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [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 0.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [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 0.032 * [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 y in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.034 * [taylor]: Taking taylor expansion of 1/2 in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.036 * [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 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [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 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of 1/2 in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of 1/2 in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.065 * * * [progress]: simplifying candidates 0.065 * [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) 0.068 * * [simplify]: iteration 0 : 89 enodes (cost 100 ) 0.071 * * [simplify]: iteration 1 : 215 enodes (cost 97 ) 0.075 * * [simplify]: iteration 2 : 503 enodes (cost 97 ) 0.084 * * [simplify]: iteration 3 : 1265 enodes (cost 97 ) 0.111 * * [simplify]: iteration 4 : 4227 enodes (cost 97 ) 0.197 * * [simplify]: iteration 5 : 5002 enodes (cost 96 ) 0.198 * [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 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) 0.198 * * * [progress]: adding candidates to table 0.237 * * [progress]: iteration 2 / 4 0.237 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.241 * * * [progress]: generating rewritten candidates 0.241 * * * [progress]: generating series expansions 0.241 * * * [progress]: simplifying candidates 0.241 * [simplify]: Simplifying using # : 0.243 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.243 * [simplify]: Simplified to: 0.243 * * * [progress]: adding candidates to table 0.243 * * [progress]: iteration 3 / 4 0.243 * * * [progress]: picking best candidate 0.245 * * * * [pick]: Picked # 0.245 * * * [progress]: localizing error 0.246 * * * [progress]: generating rewritten candidates 0.246 * * * [progress]: generating series expansions 0.246 * * * [progress]: simplifying candidates 0.246 * [simplify]: Simplifying using # : 0.248 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.248 * [simplify]: Simplified to: 0.248 * * * [progress]: adding candidates to table 0.248 * * [progress]: iteration 4 / 4 0.249 * * * [progress]: picking best candidate 0.249 * * * * [pick]: Picked # 0.249 * * * [progress]: localizing error 0.250 * * * [progress]: generating rewritten candidates 0.250 * * * [progress]: generating series expansions 0.250 * * * [progress]: simplifying candidates 0.250 * [simplify]: Simplifying using # : 0.252 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.252 * [simplify]: Simplified to: 0.252 * * * [progress]: adding candidates to table 0.252 * [progress]: [Phase 3 of 3] Extracting. 0.252 * * [regime]: Finding splitpoints for: (# # # #) 0.253 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.253 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 0.274 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.291 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.308 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.317 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 0.340 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # #) 0.364 * * * * [regimes]: Trying to branch on y from (# # # #) 0.419 * * * * [regimes]: Trying to branch on x from (# # # #) 0.452 * * * [regime]: Found split indices: #