24.130 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.022 * * [simplify]: iteration 0 : 6 enodes (cost 6 ) 0.023 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.023 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.038 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.043 * [taylor]: Taking taylor expansion of (+ (pow x 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 y in x 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.043 * [taylor]: Taking taylor expansion of (+ (pow x 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 y in x 0.043 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.044 * [taylor]: Taking taylor expansion of 1/2 in y 0.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.045 * [taylor]: Taking taylor expansion of 1/2 in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of -1/8 in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.046 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 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 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 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 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.047 * [taylor]: Taking taylor expansion of -1/2 in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of -1/8 in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.048 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 (/ 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)) (/ 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 0.049 * [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 (pow x 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 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.050 * [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 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * * * [progress]: simplifying candidates 0.052 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (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))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (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) (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN)))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.107 * * [simplify]: iteration 0 : 4926 enodes (cost 260 ) 0.107 * * [simplify]: iteration 1 : 4926 enodes (cost 260 ) 0.109 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow x 6) (pow y 3))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (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 (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow x 6) (pow y 3)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (+ (* y (* y (pow NAN 3))) (* NAN (+ y (* x (* x 1/2))))) (+ x (* y (/ 1/2 x))) (- (* y (/ -1/2 x)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.109 * * * [progress]: adding candidates to table 0.146 * * [progress]: iteration 2 / 4 0.146 * * * [progress]: picking best candidate 0.150 * * * * [pick]: Picked # 0.150 * * * [progress]: localizing error 0.156 * * * [progress]: generating rewritten candidates 0.156 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.163 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.168 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.168 * [taylor]: Taking taylor expansion of 1/2 in x 0.168 * [taylor]: Taking taylor expansion of (/ y x) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.168 * [taylor]: Taking taylor expansion of 1/2 in y 0.168 * [taylor]: Taking taylor expansion of (/ y x) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.168 * [taylor]: Taking taylor expansion of 1/2 in y 0.168 * [taylor]: Taking taylor expansion of (/ y x) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.168 * [taylor]: Taking taylor expansion of 1/2 in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 0 in x 0.168 * [taylor]: Taking taylor expansion of 0 in x 0.169 * [taylor]: Taking taylor expansion of 0 in x 0.169 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.169 * [taylor]: Taking taylor expansion of 1/2 in x 0.169 * [taylor]: Taking taylor expansion of (/ x y) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.169 * [taylor]: Taking taylor expansion of 1/2 in y 0.169 * [taylor]: Taking taylor expansion of (/ x y) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.169 * [taylor]: Taking taylor expansion of 1/2 in y 0.169 * [taylor]: Taking taylor expansion of (/ x y) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.169 * [taylor]: Taking taylor expansion of 1/2 in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 0 in x 0.170 * [taylor]: Taking taylor expansion of 0 in x 0.170 * [taylor]: Taking taylor expansion of 0 in x 0.170 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.170 * [taylor]: Taking taylor expansion of 1/2 in x 0.170 * [taylor]: Taking taylor expansion of (/ x y) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.170 * [taylor]: Taking taylor expansion of 1/2 in y 0.170 * [taylor]: Taking taylor expansion of (/ x y) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.170 * [taylor]: Taking taylor expansion of 1/2 in y 0.170 * [taylor]: Taking taylor expansion of (/ x y) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.170 * [taylor]: Taking taylor expansion of 1/2 in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of 0 in x 0.171 * [taylor]: Taking taylor expansion of 0 in x 0.171 * [taylor]: Taking taylor expansion of 0 in x 0.171 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.171 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.171 * [taylor]: Taking taylor expansion of 1/2 in y 0.171 * [taylor]: Taking taylor expansion of (/ y x) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.171 * [taylor]: Taking taylor expansion of 1/2 in x 0.171 * [taylor]: Taking taylor expansion of (/ y x) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.171 * [taylor]: Taking taylor expansion of 1/2 in x 0.171 * [taylor]: Taking taylor expansion of (/ y x) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.171 * [taylor]: Taking taylor expansion of 1/2 in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.172 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.172 * [taylor]: Taking taylor expansion of 1/2 in y 0.172 * [taylor]: Taking taylor expansion of (/ x y) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.172 * [taylor]: Taking taylor expansion of 1/2 in x 0.172 * [taylor]: Taking taylor expansion of (/ x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.173 * [taylor]: Taking taylor expansion of 1/2 in x 0.173 * [taylor]: Taking taylor expansion of (/ x y) 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 (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.173 * [taylor]: Taking taylor expansion of 1/2 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 0 in y 0.174 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.174 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.174 * [taylor]: Taking taylor expansion of 1/2 in y 0.174 * [taylor]: Taking taylor expansion of (/ x y) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.174 * [taylor]: Taking taylor expansion of 1/2 in x 0.174 * [taylor]: Taking taylor expansion of (/ x y) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.174 * [taylor]: Taking taylor expansion of 1/2 in x 0.174 * [taylor]: Taking taylor expansion of (/ x y) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (neg 1) in y 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 (* 1/2 (/ 1 y)) in y 0.174 * [taylor]: Taking taylor expansion of 1/2 in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * * * [progress]: simplifying candidates 0.176 * [simplify]: Simplifying using # : (* y (/ 1/2 x)) (+ (log y) (- (log 1/2) (log x))) (+ (log y) (log (/ 1/2 x))) (log (* y (/ 1/2 x))) (exp (* y (/ 1/2 x))) (* (* (* y y) y) (/ (* (* 1/2 1/2) 1/2) (* (* x x) x))) (* (* (* y y) y) (* (* (/ 1/2 x) (/ 1/2 x)) (/ 1/2 x))) (* (cbrt (* y (/ 1/2 x))) (cbrt (* y (/ 1/2 x)))) (cbrt (* y (/ 1/2 x))) (* (* (* y (/ 1/2 x)) (* y (/ 1/2 x))) (* y (/ 1/2 x))) (sqrt (* y (/ 1/2 x))) (sqrt (* y (/ 1/2 x))) (* (sqrt y) (sqrt (/ 1/2 x))) (* (sqrt y) (sqrt (/ 1/2 x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* y (* (cbrt (/ 1/2 x)) (cbrt (/ 1/2 x)))) (* y (sqrt (/ 1/2 x))) (* y (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt x) (cbrt x)))) (* y (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt x))) (* y (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) (* y (/ (sqrt 1/2) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt 1/2) (sqrt x))) (* y (/ (sqrt 1/2) 1)) (* y (/ 1 (* (cbrt x) (cbrt x)))) (* y (/ 1 (sqrt x))) (* y (/ 1 1)) (* y 1) (* y 1/2) (* (cbrt y) (/ 1/2 x)) (* (sqrt y) (/ 1/2 x)) (* y (/ 1/2 x)) (* y 1/2) (* (exp x) (exp (* y (/ 1/2 x)))) (log (+ x (* y (/ 1/2 x)))) (exp (+ x (* y (/ 1/2 x)))) (* (cbrt (+ x (* y (/ 1/2 x)))) (cbrt (+ x (* y (/ 1/2 x))))) (cbrt (+ x (* y (/ 1/2 x)))) (* (* (+ x (* y (/ 1/2 x))) (+ x (* y (/ 1/2 x)))) (+ x (* y (/ 1/2 x)))) (sqrt (+ x (* y (/ 1/2 x)))) (sqrt (+ x (* y (/ 1/2 x)))) (+ (pow x 3) (pow (* y (/ 1/2 x)) 3)) (+ (* x x) (- (* (* y (/ 1/2 x)) (* y (/ 1/2 x))) (* x (* y (/ 1/2 x))))) (- (* x x) (* (* y (/ 1/2 x)) (* y (/ 1/2 x)))) (- x (* y (/ 1/2 x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.246 * * [simplify]: iteration 0 : 4953 enodes (cost 372 ) 0.246 * * [simplify]: iteration 1 : 4953 enodes (cost 372 ) 0.248 * [simplify]: Simplified to: (* y (/ 1/2 x)) (log (* y (/ 1/2 x))) (log (* y (/ 1/2 x))) (log (* y (/ 1/2 x))) (sqrt (exp (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* y (/ 1/2 x))) (cbrt (* y (/ 1/2 x)))) (cbrt (* y (/ 1/2 x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* y (/ 1/2 x))) (sqrt (* y (/ 1/2 x))) (* (sqrt y) (sqrt (/ 1/2 x))) (* (sqrt y) (sqrt (/ 1/2 x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* y (* (cbrt (/ 1/2 x)) (cbrt (/ 1/2 x)))) (* y (sqrt (/ 1/2 x))) (* y (* (cbrt 1/2) (/ (cbrt 1/2) (* (cbrt x) (cbrt x))))) (* y (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt x)))) (* y (* (cbrt 1/2) (cbrt 1/2))) (* y (/ (sqrt 1/2) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt 1/2) (sqrt x))) (* y (sqrt 1/2)) (/ y (* (cbrt x) (cbrt x))) (/ y (sqrt x)) y y (* y 1/2) (* (/ 1/2 x) (cbrt y)) (* (/ 1/2 x) (sqrt y)) (* y (/ 1/2 x)) (* y 1/2) (* (sqrt (exp (/ y x))) (exp x)) (log (+ x (* y (/ 1/2 x)))) (* (sqrt (exp (/ y x))) (exp x)) (* (cbrt (+ x (* y (/ 1/2 x)))) (cbrt (+ x (* y (/ 1/2 x))))) (cbrt (+ x (* y (/ 1/2 x)))) (pow (+ x (* y (/ 1/2 x))) 3) (sqrt (+ x (* y (/ 1/2 x)))) (sqrt (+ x (* y (/ 1/2 x)))) (+ (pow x 3) (* 1/8 (pow (/ y x) 3))) (+ (* x x) (+ (* y (* y (/ 1/4 (* x x)))) (* y -1/2))) (+ (* x x) (* y (* y (/ -1/4 (* x x))))) (+ x (* y (/ -1/2 x))) (* y (/ 1/2 x)) (* y (/ 1/2 x)) (* y (/ 1/2 x)) (+ x (* y (/ 1/2 x))) (+ x (* y (/ 1/2 x))) (+ x (* y (/ 1/2 x))) 0.248 * * * [progress]: adding candidates to table 0.298 * * [progress]: iteration 3 / 4 0.298 * * * [progress]: picking best candidate 0.300 * * * * [pick]: Picked # 0.300 * * * [progress]: localizing error 0.304 * * * [progress]: generating rewritten candidates 0.304 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.311 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.318 * * * [progress]: generating series expansions 0.318 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.318 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 0.318 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 0.318 * [taylor]: Taking taylor expansion of -1/2 in x 0.318 * [taylor]: Taking taylor expansion of (/ y x) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.318 * [taylor]: Taking taylor expansion of -1/2 in y 0.318 * [taylor]: Taking taylor expansion of (/ y x) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.318 * [taylor]: Taking taylor expansion of -1/2 in y 0.318 * [taylor]: Taking taylor expansion of (/ y x) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.318 * [taylor]: Taking taylor expansion of -1/2 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.319 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.319 * [taylor]: Taking taylor expansion of -1/2 in x 0.319 * [taylor]: Taking taylor expansion of (/ x y) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.319 * [taylor]: Taking taylor expansion of -1/2 in y 0.319 * [taylor]: Taking taylor expansion of (/ x y) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.319 * [taylor]: Taking taylor expansion of -1/2 in y 0.319 * [taylor]: Taking taylor expansion of (/ x y) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.319 * [taylor]: Taking taylor expansion of -1/2 in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.320 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.320 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.320 * [taylor]: Taking taylor expansion of -1/2 in x 0.320 * [taylor]: Taking taylor expansion of (/ x y) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.320 * [taylor]: Taking taylor expansion of -1/2 in y 0.320 * [taylor]: Taking taylor expansion of (/ x y) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.320 * [taylor]: Taking taylor expansion of -1/2 in y 0.320 * [taylor]: Taking taylor expansion of (/ x y) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.320 * [taylor]: Taking taylor expansion of -1/2 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.321 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.321 * [approximate]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in (y x) around 0 0.321 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in x 0.321 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.321 * [taylor]: Taking taylor expansion of 1/2 in x 0.321 * [taylor]: Taking taylor expansion of (/ y x) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 0.321 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.321 * [taylor]: Taking taylor expansion of 1/2 in y 0.321 * [taylor]: Taking taylor expansion of (/ y x) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 0.321 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.322 * [taylor]: Taking taylor expansion of 1/2 in y 0.322 * [taylor]: Taking taylor expansion of (/ y x) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of (neg x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 x))) in x 0.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of 0 in x 0.322 * [taylor]: Taking taylor expansion of 0 in x 0.323 * [taylor]: Taking taylor expansion of 0 in x 0.323 * [approximate]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 0.323 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in x 0.323 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.323 * [taylor]: Taking taylor expansion of 1/2 in x 0.323 * [taylor]: Taking taylor expansion of (/ x y) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 0.323 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.323 * [taylor]: Taking taylor expansion of 1/2 in y 0.323 * [taylor]: Taking taylor expansion of (/ x y) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 0.323 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.323 * [taylor]: Taking taylor expansion of 1/2 in y 0.323 * [taylor]: Taking taylor expansion of (/ x y) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 0.324 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.324 * [taylor]: Taking taylor expansion of 1/2 in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.325 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.325 * [taylor]: Taking taylor expansion of 1/2 in x 0.325 * [taylor]: Taking taylor expansion of (/ x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.325 * [taylor]: Taking taylor expansion of 1/2 in y 0.325 * [taylor]: Taking taylor expansion of (/ x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.325 * [taylor]: Taking taylor expansion of 1/2 in y 0.325 * [taylor]: Taking taylor expansion of (/ x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 0.325 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.325 * [taylor]: Taking taylor expansion of 1/2 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.327 * * * [progress]: simplifying candidates 0.327 * [simplify]: Simplifying using # : (* y (/ -1/2 x)) (+ (log y) (- (log -1/2) (log x))) (+ (log y) (log (/ -1/2 x))) (log (* y (/ -1/2 x))) (exp (* y (/ -1/2 x))) (* (* (* y y) y) (/ (* (* -1/2 -1/2) -1/2) (* (* x x) x))) (* (* (* y y) y) (* (* (/ -1/2 x) (/ -1/2 x)) (/ -1/2 x))) (* (cbrt (* y (/ -1/2 x))) (cbrt (* y (/ -1/2 x)))) (cbrt (* y (/ -1/2 x))) (* (* (* y (/ -1/2 x)) (* y (/ -1/2 x))) (* y (/ -1/2 x))) (sqrt (* y (/ -1/2 x))) (sqrt (* y (/ -1/2 x))) (* (sqrt y) (sqrt (/ -1/2 x))) (* (sqrt y) (sqrt (/ -1/2 x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* y (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x)))) (* y (sqrt (/ -1/2 x))) (* y (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt x) (cbrt x)))) (* y (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt x))) (* y (/ (* (cbrt -1/2) (cbrt -1/2)) 1)) (* y (/ (sqrt -1/2) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt -1/2) (sqrt x))) (* y (/ (sqrt -1/2) 1)) (* y (/ 1 (* (cbrt x) (cbrt x)))) (* y (/ 1 (sqrt x))) (* y (/ 1 1)) (* y 1) (* y -1/2) (* (cbrt y) (/ -1/2 x)) (* (sqrt y) (/ -1/2 x)) (* y (/ -1/2 x)) (* y -1/2) (/ (exp (* y (/ -1/2 x))) (exp x)) (log (- (* y (/ -1/2 x)) x)) (exp (- (* y (/ -1/2 x)) x)) (* (cbrt (- (* y (/ -1/2 x)) x)) (cbrt (- (* y (/ -1/2 x)) x))) (cbrt (- (* y (/ -1/2 x)) x)) (* (* (- (* y (/ -1/2 x)) x) (- (* y (/ -1/2 x)) x)) (- (* y (/ -1/2 x)) x)) (sqrt (- (* y (/ -1/2 x)) x)) (sqrt (- (* y (/ -1/2 x)) x)) (- (pow (* y (/ -1/2 x)) 3) (pow x 3)) (+ (* (* y (/ -1/2 x)) (* y (/ -1/2 x))) (+ (* x x) (* (* y (/ -1/2 x)) x))) (neg x) (- (* (* y (/ -1/2 x)) (* y (/ -1/2 x))) (* x x)) (+ (* y (/ -1/2 x)) x) (neg x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (neg (+ x (* 1/2 (/ y x)))) (neg (+ x (* 1/2 (/ y x)))) (neg (+ x (* 1/2 (/ y x)))) 0.364 * * [simplify]: iteration 0 : 5315 enodes (cost 375 ) 0.366 * [simplify]: Simplified to: (* y (/ -1/2 x)) (log (* y (/ -1/2 x))) (log (* y (/ -1/2 x))) (log (* y (/ -1/2 x))) (pow (exp y) (/ -1/2 x)) (* -1/8 (pow (/ y x) 3)) (* -1/8 (pow (/ y x) 3)) (* (cbrt (* y (/ -1/2 x))) (cbrt (* y (/ -1/2 x)))) (cbrt (* y (/ -1/2 x))) (* -1/8 (pow (/ y x) 3)) (sqrt (* y (/ -1/2 x))) (sqrt (* y (/ -1/2 x))) (* (sqrt y) (sqrt (/ -1/2 x))) (* (sqrt y) (sqrt (/ -1/2 x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* y (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x)))) (* y (sqrt (/ -1/2 x))) (* y (* (cbrt -1/2) (/ (cbrt -1/2) (* (cbrt x) (cbrt x))))) (* y (* (cbrt -1/2) (/ (cbrt -1/2) (sqrt x)))) (* y (* (cbrt -1/2) (cbrt -1/2))) (* y (/ (sqrt -1/2) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt -1/2) (sqrt x))) (* y (sqrt -1/2)) (/ y (* (cbrt x) (cbrt x))) (/ y (sqrt x)) y y (* y -1/2) (* (/ -1/2 x) (cbrt y)) (* (/ -1/2 x) (sqrt y)) (* y (/ -1/2 x)) (* y -1/2) (exp (- (* y (/ -1/2 x)) x)) (log (- (* y (/ -1/2 x)) x)) (exp (- (* y (/ -1/2 x)) x)) (* (cbrt (- (* y (/ -1/2 x)) x)) (cbrt (- (* y (/ -1/2 x)) x))) (cbrt (- (* y (/ -1/2 x)) x)) (pow (- (* y (/ -1/2 x)) x) 3) (sqrt (- (* y (/ -1/2 x)) x)) (sqrt (- (* y (/ -1/2 x)) x)) (- (* -1/8 (pow (/ y x) 3)) (pow x 3)) (+ (* x x) (* y (+ -1/2 (* y (/ 1/4 (* x x)))))) (neg x) (- (* y (* y (/ 1/4 (* x x)))) (* x x)) (+ x (* y (/ -1/2 x))) (neg x) (* y (/ -1/2 x)) (* y (/ -1/2 x)) (* y (/ -1/2 x)) (- (* y (/ -1/2 x)) x) (- (* y (/ -1/2 x)) x) (- (* y (/ -1/2 x)) x) 0.366 * * * [progress]: adding candidates to table 0.416 * [progress]: [Phase 3 of 3] Extracting. 0.416 * * [regime]: Finding splitpoints for: (# # #) 0.417 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.417 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.450 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 0.487 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 0.527 * * * * [regimes]: Trying to branch on y from (# # #) 0.574 * * * * [regimes]: Trying to branch on x from (# # #) 0.618 * * * [regime]: Found split indices: #