8.475 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.017 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.033 * [taylor]: Taking taylor expansion of 2 in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 (* 2 y) in x 0.033 * [taylor]: Taking taylor expansion of 2 in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 (* 2 y) in x 0.033 * [taylor]: Taking taylor expansion of 2 in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.033 * [taylor]: Taking taylor expansion of 2 in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 1 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 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 (* 2 (/ 1 y)) in y 0.038 * [taylor]: Taking taylor expansion of 2 in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 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 0.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.039 * [taylor]: Taking taylor expansion of 2 in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 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 (* 2 (/ 1 y)) in x 0.040 * [taylor]: Taking taylor expansion of 2 in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.042 * [taylor]: Taking taylor expansion of 2 in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of 2 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of 2 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.049 * [taylor]: Taking taylor expansion of 2 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of 2 in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.057 * * * [progress]: simplifying candidates 0.057 * [simplify]: Simplifying using # : (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.060 * * [simplify]: iteration 0 : 91 enodes (cost 86 ) 0.063 * * [simplify]: iteration 1 : 310 enodes (cost 77 ) 0.069 * * [simplify]: iteration 2 : 1307 enodes (cost 71 ) 0.093 * * [simplify]: iteration 3 : 5002 enodes (cost 70 ) 0.094 * [simplify]: Simplified to: (exp (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (+ (* x x) y) y) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (pow x 4) (* (+ (* x x) y) y)) (* (pow x 2) (+ (+ (* x x) y) y)) (pow x 2) (+ (+ (* x x) y) y) (+ y y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) 0.094 * * * [progress]: adding candidates to table 0.116 * * [progress]: iteration 2 / 4 0.116 * * * [progress]: picking best candidate 0.117 * * * * [pick]: Picked # 0.117 * * * [progress]: localizing error 0.121 * * * [progress]: generating rewritten candidates 0.121 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.128 * * * [progress]: generating series expansions 0.128 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.128 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.128 * [taylor]: Taking taylor expansion of 2 in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.128 * [taylor]: Taking taylor expansion of 2 in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.128 * [taylor]: Taking taylor expansion of 2 in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.128 * [taylor]: Taking taylor expansion of 2 in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 1 in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.133 * [taylor]: Taking taylor expansion of 2 in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.134 * [taylor]: Taking taylor expansion of 2 in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.135 * [taylor]: Taking taylor expansion of 2 in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of 1 in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of 2 in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.142 * [taylor]: Taking taylor expansion of 2 in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.143 * [taylor]: Taking taylor expansion of 2 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.144 * [taylor]: Taking taylor expansion of 2 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.146 * [taylor]: Taking taylor expansion of 2 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.152 * * * [progress]: simplifying candidates 0.152 * [simplify]: Simplifying using # : (* (exp (* x x)) (* (exp y) (exp y))) (* (exp (* x x)) (exp (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y)))) (cbrt (+ (* x x) (+ y y))) (* (* (+ (* x x) (+ y y)) (+ (* x x) (+ y y))) (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow (* x x) 3) (pow (+ y y) 3)) (+ (* (* x x) (* x x)) (- (* (+ y y) (+ y y)) (* (* x x) (+ y y)))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.155 * * [simplify]: iteration 0 : 103 enodes (cost 83 ) 0.158 * * [simplify]: iteration 1 : 468 enodes (cost 74 ) 0.166 * * [simplify]: iteration 2 : 1756 enodes (cost 74 ) 0.204 * * [simplify]: iteration 3 : 5002 enodes (cost 74 ) 0.205 * [simplify]: Simplified to: (exp (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (log (+ (* x x) (+ y y))) (exp (+ (* x x) (+ y y))) (* (cbrt (+ (* x x) (+ y y))) (cbrt (+ (* x x) (+ y y)))) (cbrt (+ (* x x) (+ y y))) (pow (+ (* x x) (+ y y)) 3) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (+ (pow (* x x) 3) (pow (+ y y) 3)) (- (* 4 (* y y)) (- (* (* x x) (+ y y)) (pow x 4))) (+ (- (* (+ y y) (+ y y))) (pow x 4)) (- (* x x) (+ y y)) (+ (* x x) y) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) 0.205 * * * [progress]: adding candidates to table 0.226 * [progress]: [Phase 3 of 3] Extracting. 0.226 * * [regime]: Finding splitpoints for: (# #) 0.226 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 0.226 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.235 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 0.245 * * * * [regimes]: Trying to branch on y from (# #) 0.254 * * * * [regimes]: Trying to branch on x from (# #) 0.266 * * * [regime]: Found split indices: #