4.538 * [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. 0.016 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 14 enodes (cost 2 ) 0.025 * * [simplify]: iteration 2 : 16 enodes (cost 2 ) 0.027 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.030 * * [simplify]: iteration 4 : 17 enodes (cost 2 ) 0.030 * [simplify]: Simplified to: (+ y (fma x x y)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.057 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.057 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.058 * [taylor]: Taking taylor expansion of 2 in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.058 * [taylor]: Taking taylor expansion of 2 in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.058 * [taylor]: Taking taylor expansion of 2 in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.058 * [taylor]: Taking taylor expansion of 2 in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of 2 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.067 * [taylor]: Taking taylor expansion of 2 in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.067 * [taylor]: Taking taylor expansion of 2 in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of 2 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.081 * [taylor]: Taking taylor expansion of 2 in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.082 * [taylor]: Taking taylor expansion of 2 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 (pow x 2)) (* 2 (/ 1 y))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of 2 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.086 * [taylor]: Taking taylor expansion of 2 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying using # : (expm1 (+ (+ (* x x) y) y)) (log1p (+ (+ (* x x) y) y)) (* (* (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)) 0.097 * * [simplify]: iteration 0 : 97 enodes (cost 86 ) 0.102 * * [simplify]: iteration 1 : 332 enodes (cost 77 ) 0.112 * * [simplify]: iteration 2 : 1454 enodes (cost 72 ) 0.149 * * [simplify]: iteration 3 : 5002 enodes (cost 70 ) 0.150 * [simplify]: Simplified to: (expm1 (+ (+ (* x x) y) y)) (log1p (+ (+ (* x x) y) y)) (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 (+ y (fma x x y)) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (fma y (fma x x y) (pow x 4)) (* (pow x 2) (+ y (fma x x y))) (pow x 2) (+ y (fma x x y)) (+ y y) (+ y (fma x x y)) (+ y (fma x x y)) (+ y (fma x x y)) 0.150 * * * [progress]: adding candidates to table 0.198 * * [progress]: iteration 2 / 4 0.198 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.215 * * * [progress]: generating series expansions 0.216 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.216 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.216 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.216 * [taylor]: Taking taylor expansion of 2 in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.216 * [taylor]: Taking taylor expansion of 2 in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.216 * [taylor]: Taking taylor expansion of 2 in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.216 * [taylor]: Taking taylor expansion of 2 in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 1 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.223 * [taylor]: Taking taylor expansion of 2 in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.224 * [taylor]: Taking taylor expansion of 2 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.224 * [taylor]: Taking taylor expansion of 2 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.227 * [taylor]: Taking taylor expansion of 2 in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.233 * [taylor]: Taking taylor expansion of 2 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.234 * [taylor]: Taking taylor expansion of 2 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.235 * [taylor]: Taking taylor expansion of 2 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of 1 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.238 * [taylor]: Taking taylor expansion of 2 in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.245 * * * [progress]: simplifying candidates 0.245 * [simplify]: Simplifying using # : (expm1 (+ (* x x) (+ y y))) (log1p (+ (* x x) (+ y y))) (* (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)) 0.250 * * [simplify]: iteration 0 : 111 enodes (cost 85 ) 0.255 * * [simplify]: iteration 1 : 503 enodes (cost 77 ) 0.269 * * [simplify]: iteration 2 : 2002 enodes (cost 72 ) 0.322 * * [simplify]: iteration 3 : 5002 enodes (cost 71 ) 0.324 * [simplify]: Simplified to: (expm1 (+ (* x x) (+ y y))) (log1p (+ (* x x) (+ y y))) (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 (fma x x (+ y y)) 3) (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))) (fma 8 (pow y 3) (pow x 6)) (fma 2 (* y (- (+ y y) (pow x 2))) (pow x 4)) (fma (- 4) (* y y) (pow x 4)) (- (* x x) (+ y y)) (fma x x y) (fma x x (+ y y)) (fma x x (+ y y)) (fma x x (+ y y)) 0.324 * * * [progress]: adding candidates to table 0.364 * [progress]: [Phase 3 of 3] Extracting. 0.364 * * [regime]: Finding splitpoints for: (# #) 0.364 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 0.364 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.375 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 0.387 * * * * [regimes]: Trying to branch on y from (# #) 0.402 * * * * [regimes]: Trying to branch on x from (# #) 0.413 * * * [regime]: Found split indices: #