12.501 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.020 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.033 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 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 y in y 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 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 y in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 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 y in x 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 1 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of 1 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 y) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 y) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * * * [progress]: simplifying candidates 0.037 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.039 * * [simplify]: iteration 0 : 81 enodes (cost 57 ) 0.041 * * [simplify]: iteration 1 : 284 enodes (cost 50 ) 0.045 * * [simplify]: iteration 2 : 688 enodes (cost 50 ) 0.059 * * [simplify]: iteration 3 : 2506 enodes (cost 50 ) 0.124 * * [simplify]: iteration 4 : 5001 enodes (cost 50 ) 0.125 * [simplify]: Simplified to: (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (pow x 2) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (neg (* y y)) (pow x 4)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.125 * * * [progress]: adding candidates to table 0.143 * * [progress]: iteration 2 / 4 0.144 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked # 0.146 * * * [progress]: localizing error 0.152 * * * [progress]: generating rewritten candidates 0.152 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.163 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 0.167 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.173 * * * [progress]: generating series expansions 0.173 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.173 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.173 * [taylor]: Taking taylor expansion of x in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of 1 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of 1 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 0.177 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of 1 in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.180 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of 1 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * * * [progress]: simplifying candidates 0.185 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y)))) (log (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))) (* (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (- (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 1 1) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) y)) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt 1)) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) 1) (* (cbrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.189 * * [simplify]: iteration 0 : 174 enodes (cost 455 ) 0.193 * * [simplify]: iteration 1 : 704 enodes (cost 406 ) 0.211 * * [simplify]: iteration 2 : 4021 enodes (cost 392 ) 0.358 * * [simplify]: iteration 3 : 5001 enodes (cost 379 ) 0.360 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (* x x) y)) 4) (+ (* x x) y) (pow (sqrt (+ (* x x) y)) 4) 2 (log (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (pow (+ (* x x) y) 3) (pow (sqrt (cbrt (+ (* x x) y))) 4) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (pow (sqrt (+ (* x x) y)) 4) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (+ (neg (* y y)) (pow x 4)) (- (* x x) y) (pow (cbrt (sqrt (+ (* x x) y))) 4) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (pow (sqrt (cbrt (+ (* x x) y))) 4) (cbrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) 1 (+ (* x x) y) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) 1 (+ (* x x) y) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) 1 2 1 (pow (cbrt (sqrt (+ (* x x) y))) 5) (* (fabs (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (sqrt (+ (* x x) y)) (pow (sqrt (sqrt (+ (* x x) y))) 3) (sqrt (+ (* x x) y)) (pow (cbrt (sqrt (+ (* x x) y))) 4) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (+ (* x x) y) (pow (sqrt (sqrt (+ (* x x) y))) 3) (+ (* x x) y) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (pow (sqrt (cbrt (+ (* x x) y))) 4) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (neg (* y y)) (pow x 4)) (- (* x x) y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (pow (sqrt (cbrt (+ (* x x) y))) 4) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (neg (* y y)) (pow x 4)) (- (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.361 * * * [progress]: adding candidates to table 0.417 * [progress]: [Phase 3 of 3] Extracting. 0.417 * * [regime]: Finding splitpoints for: (# #) 0.417 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 0.417 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.446 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 0.476 * * * * [regimes]: Trying to branch on y from (# #) 0.505 * * * * [regimes]: Trying to branch on x from (# #) 0.535 * * * [regime]: Found split indices: #