14.298 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.018 * * [simplify]: iteration 0 : 10 enodes (cost 2 ) 0.020 * * [simplify]: iteration 1 : 14 enodes (cost 2 ) 0.021 * * [simplify]: iteration 2 : 16 enodes (cost 2 ) 0.023 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.024 * * [simplify]: iteration 4 : 17 enodes (cost 2 ) 0.025 * [simplify]: Simplified to: (+ y (fma x x y)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.043 * [taylor]: Taking taylor expansion of 2 in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 (* 2 y) in x 0.043 * [taylor]: Taking taylor expansion of 2 in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 (* 2 y) in x 0.043 * [taylor]: Taking taylor expansion of 2 in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.043 * [taylor]: Taking taylor expansion of 2 in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.049 * [taylor]: Taking taylor expansion of 2 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of 2 in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of 2 in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of 2 in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of 2 in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.060 * [taylor]: Taking taylor expansion of 2 in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.061 * [taylor]: Taking taylor expansion of 2 in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.064 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.064 * [taylor]: Taking taylor expansion of 2 in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * * * [progress]: simplifying candidates 0.071 * [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)) 0.074 * * [simplify]: iteration 0 : 97 enodes (cost 86 ) 0.077 * * [simplify]: iteration 1 : 332 enodes (cost 77 ) 0.085 * * [simplify]: iteration 2 : 1454 enodes (cost 72 ) 0.119 * * [simplify]: iteration 3 : 5002 enodes (cost 70 ) 0.121 * [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)) 0.121 * * * [progress]: adding candidates to table 0.169 * * [progress]: iteration 2 / 4 0.169 * * * [progress]: picking best candidate 0.171 * * * * [pick]: Picked # 0.171 * * * [progress]: localizing error 0.175 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.183 * * * [progress]: generating series expansions 0.183 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.183 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.184 * [taylor]: Taking taylor expansion of 2 in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.184 * [taylor]: Taking taylor expansion of 2 in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.184 * [taylor]: Taking taylor expansion of 2 in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.184 * [taylor]: Taking taylor expansion of 2 in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.191 * [taylor]: Taking taylor expansion of 2 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.192 * [taylor]: Taking taylor expansion of 2 in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.192 * [taylor]: Taking taylor expansion of 2 in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of 1 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.195 * [taylor]: Taking taylor expansion of 2 in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.201 * [taylor]: Taking taylor expansion of 2 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.202 * [taylor]: Taking taylor expansion of 2 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.203 * [taylor]: Taking taylor expansion of 2 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.206 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.206 * [taylor]: Taking taylor expansion of 2 in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * * * [progress]: simplifying candidates 0.213 * [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)) 0.217 * * [simplify]: iteration 0 : 111 enodes (cost 85 ) 0.222 * * [simplify]: iteration 1 : 503 enodes (cost 77 ) 0.236 * * [simplify]: iteration 2 : 2002 enodes (cost 72 ) 0.288 * * [simplify]: iteration 3 : 5002 enodes (cost 71 ) 0.290 * [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)) 0.290 * * * [progress]: adding candidates to table 0.329 * * [progress]: iteration 3 / 4 0.329 * * * [progress]: picking best candidate 0.330 * * * * [pick]: Picked # 0.330 * * * [progress]: localizing error 0.334 * * * [progress]: generating rewritten candidates 0.335 * * * [progress]: generating series expansions 0.335 * * * [progress]: simplifying candidates 0.335 * [simplify]: Simplifying using # : 0.339 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.339 * [simplify]: Simplified to: 0.339 * * * [progress]: adding candidates to table 0.339 * [progress]: [Phase 3 of 3] Extracting. 0.341 * [simplify]: Simplifying using # : (fma x x (+ y y)) 0.342 * * [simplify]: iteration 0 : 4 enodes (cost 2 ) 0.342 * [simplify]: Simplified to: (fma x x (+ y y)) 0.769 * [regime-testing]: End program error score: 0 0.787 * [regime-testing]: Target error score: 0.005250656332041505