7.211 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* x (- 1.0 (* x y))) 0.017 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 38 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 47 enodes (cost 3 ) 0.023 * * [simplify]: iteration 4 : 47 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (* x (- 1.0 (* x y))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* x y))) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in y 0.035 * [taylor]: Taking taylor expansion of 1.0 in y 0.035 * [taylor]: Taking taylor expansion of (* x y) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (* x y) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (* x y) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of (- y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.044 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.044 * [taylor]: Taking taylor expansion of (* x y) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.044 * [taylor]: Taking taylor expansion of (* x y) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.045 * [taylor]: Taking taylor expansion of (* x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.045 * [taylor]: Taking taylor expansion of -1 in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in y 0.057 * [taylor]: Taking taylor expansion of -1 in y 0.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.057 * [taylor]: Taking taylor expansion of (* x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.058 * [taylor]: Taking taylor expansion of (* x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in x 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (- 1.0) in y 0.061 * [taylor]: Taking taylor expansion of 1.0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * * * [progress]: simplifying candidates 0.075 * [simplify]: Simplifying using # : (* x (- 1.0 (* x y))) (+ (log x) (log (- 1.0 (* x y)))) (log (* x (- 1.0 (* x y)))) (exp (* x (- 1.0 (* x y)))) (* (* (* x x) x) (* (* (- 1.0 (* x y)) (- 1.0 (* x y))) (- 1.0 (* x y)))) (* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y))))) (cbrt (* x (- 1.0 (* x y)))) (* (* (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y)))) (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (* (sqrt x) (sqrt (- 1.0 (* x y)))) (* (sqrt x) (sqrt (- 1.0 (* x y)))) (* x 1.0) (* x (- (* x y))) (* x 1.0) (* x (- (* x y))) (* 1.0 x) (* (- (* x y)) x) (* 1.0 x) (* (- (* x y)) x) (* x (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (* x (sqrt (- 1.0 (* x y)))) (* x 1) (* (cbrt x) (- 1.0 (* x y))) (* (sqrt x) (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- (pow 1.0 3) (pow (* x y) 3))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) 0.078 * * [simplify]: iteration 0 : 122 enodes (cost 130 ) 0.081 * * [simplify]: iteration 1 : 534 enodes (cost 113 ) 0.094 * * [simplify]: iteration 2 : 2890 enodes (cost 113 ) 0.158 * * [simplify]: iteration 3 : 5002 enodes (cost 113 ) 0.159 * [simplify]: Simplified to: (* x (- 1.0 (* x y))) (log (* x (- 1.0 (* x y)))) (log (* x (- 1.0 (* x y)))) (exp (* x (- 1.0 (* x y)))) (pow (* x (- 1.0 (* x y))) 3) (* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y))))) (cbrt (* x (- 1.0 (* x y)))) (pow (* x (- 1.0 (* x y))) 3) (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (* (sqrt (- 1.0 (* x y))) (pow x 1/2)) (* (sqrt (- 1.0 (* x y))) (pow x 1/2)) (* x 1.0) (* x (- (* x y))) (* x 1.0) (* x (- (* x y))) (* x 1.0) (* x (- (* x y))) (* x 1.0) (* x (- (* x y))) (* x (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (* x (sqrt (- 1.0 (* x y)))) x (* (cbrt x) (- 1.0 (* x y))) (* (sqrt x) (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- (pow 1.0 3) (pow (* x y) 3))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) 0.159 * * * [progress]: adding candidates to table 0.197 * * [progress]: iteration 2 / 4 0.197 * * * [progress]: picking best candidate 0.208 * * * * [pick]: Picked # 0.209 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.215 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.220 * * * [progress]: generating series expansions 0.220 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.220 * [approximate]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in y 0.220 * [taylor]: Taking taylor expansion of -1 in y 0.220 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in x 0.221 * [taylor]: Taking taylor expansion of -1 in x 0.221 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in x 0.221 * [taylor]: Taking taylor expansion of -1 in x 0.221 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.221 * [taylor]: Taking taylor expansion of -1 in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [approximate]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in y 0.232 * [taylor]: Taking taylor expansion of -1 in y 0.232 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in x 0.232 * [taylor]: Taking taylor expansion of -1 in x 0.232 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in x 0.233 * [taylor]: Taking taylor expansion of -1 in x 0.233 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.233 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 0.239 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.239 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in x 0.240 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [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 # : (* x (- (* x y))) (+ (log x) (log (- (* x y)))) (log (* x (- (* x y)))) (exp (* x (- (* x y)))) (* (* (* x x) x) (* (* (- (* x y)) (- (* x y))) (- (* 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)))) (* (sqrt x) (sqrt (- (* x y)))) (* (sqrt x) (sqrt (- (* x y)))) (* x (* x y)) (* x (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (* x (sqrt (- (* x y)))) (* x 1) (* x -1) (* x (- x)) (* x x) (* (cbrt x) (- (* x y))) (* (sqrt x) (- (* x y))) (* x (- (* x y))) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) 0.248 * * [simplify]: iteration 0 : 99 enodes (cost 102 ) 0.251 * * [simplify]: iteration 1 : 554 enodes (cost 92 ) 0.269 * * [simplify]: iteration 2 : 3888 enodes (cost 92 ) 0.361 * * [simplify]: iteration 3 : 5001 enodes (cost 92 ) 0.362 * [simplify]: Simplified to: (* -1 (* (pow x 2) y)) (log (* x (- (* x y)))) (log (* x (- (* x y)))) (exp (* x (- (* x y)))) (pow (* -1 (* (pow x 2) y)) 3) (* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y))))) (cbrt (* x (- (* x y)))) (pow (* -1 (* (pow x 2) y)) 3) (sqrt (* x (- (* x y)))) (sqrt (* x (- (* x y)))) (* (sqrt (- (* x y))) (pow x 1/2)) (* (sqrt (- (* x y))) (pow x 1/2)) (* x (* x y)) (* x (* (cbrt (- (* x y))) (cbrt (- (* x y))))) (* x (sqrt (- (* x y)))) x (* x -1) (* x (- x)) (pow x 2) (* (cbrt x) (- (* x y))) (* (sqrt x) (- (* x y))) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) 0.362 * * * [progress]: adding candidates to table 0.411 * * [progress]: iteration 3 / 4 0.411 * * * [progress]: picking best candidate 0.421 * * * * [pick]: Picked # 0.422 * * * [progress]: localizing error 0.432 * * * [progress]: generating rewritten candidates 0.432 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.437 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 0.438 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.439 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.442 * * * [progress]: generating series expansions 0.442 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.442 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.442 * [taylor]: Taking taylor expansion of 1/3 in x 0.443 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 0.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 0.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 0.444 * [taylor]: Taking taylor expansion of 1/3 in x 0.444 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.499 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 0.499 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.499 * [taylor]: Taking taylor expansion of 1/3 in x 0.499 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.500 * [taylor]: Taking taylor expansion of 1/3 in x 0.500 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.560 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 0.560 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.560 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.560 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.561 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.561 * [taylor]: Taking taylor expansion of 1/3 in x 0.561 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 0.562 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 0.562 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.563 * [taylor]: Taking taylor expansion of -1 in x 0.563 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 0.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 0.563 * [taylor]: Taking taylor expansion of 1/3 in x 0.563 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.642 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 0.642 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.642 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.642 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.642 * [taylor]: Taking taylor expansion of 1/3 in x 0.642 * [taylor]: Taking taylor expansion of (log x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.643 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.643 * [taylor]: Taking taylor expansion of 1/3 in x 0.643 * [taylor]: Taking taylor expansion of (log x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.696 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.696 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.696 * [taylor]: Taking taylor expansion of 1/3 in x 0.696 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.697 * [taylor]: Taking taylor expansion of 1/3 in x 0.697 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.748 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.748 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.748 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.748 * [taylor]: Taking taylor expansion of -1 in x 0.749 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.749 * [taylor]: Taking taylor expansion of 1/3 in x 0.749 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.750 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.750 * [taylor]: Taking taylor expansion of -1 in x 0.751 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.751 * [taylor]: Taking taylor expansion of 1/3 in x 0.751 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.817 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.818 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.818 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.818 * [taylor]: Taking taylor expansion of 1/3 in x 0.818 * [taylor]: Taking taylor expansion of (log x) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.818 * [taylor]: Taking taylor expansion of 1/3 in x 0.818 * [taylor]: Taking taylor expansion of (log x) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.872 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.872 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.872 * [taylor]: Taking taylor expansion of 1/3 in x 0.872 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.873 * [taylor]: Taking taylor expansion of 1/3 in x 0.873 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.930 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.930 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.930 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.930 * [taylor]: Taking taylor expansion of -1 in x 0.931 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.931 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.931 * [taylor]: Taking taylor expansion of 1/3 in x 0.931 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.932 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.932 * [taylor]: Taking taylor expansion of -1 in x 0.933 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.933 * [taylor]: Taking taylor expansion of 1/3 in x 0.933 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.995 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.995 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.995 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.995 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.995 * [taylor]: Taking taylor expansion of 1/3 in x 0.995 * [taylor]: Taking taylor expansion of (log x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.002 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.002 * [taylor]: Taking taylor expansion of 1/3 in x 1.002 * [taylor]: Taking taylor expansion of (log x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.049 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.049 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.049 * [taylor]: Taking taylor expansion of 1/3 in x 1.049 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.050 * [taylor]: Taking taylor expansion of 1/3 in x 1.050 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.107 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.107 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.107 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.107 * [taylor]: Taking taylor expansion of -1 in x 1.108 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.108 * [taylor]: Taking taylor expansion of 1/3 in x 1.108 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.108 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.108 * [taylor]: Taking taylor expansion of -1 in x 1.109 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.109 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.109 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.109 * [taylor]: Taking taylor expansion of 1/3 in x 1.109 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.177 * * * [progress]: simplifying candidates 1.178 * [simplify]: Simplifying using # : (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.182 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 1.185 * * [simplify]: iteration 1 : 479 enodes (cost 261 ) 1.198 * * [simplify]: iteration 2 : 2963 enodes (cost 238 ) 1.262 * * [simplify]: iteration 3 : 5002 enodes (cost 235 ) 1.263 * [simplify]: Simplified to: 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.264 * * * [progress]: adding candidates to table 1.458 * * [progress]: iteration 4 / 4 1.458 * * * [progress]: picking best candidate 1.469 * * * * [pick]: Picked # 1.469 * * * [progress]: localizing error 1.478 * * * [progress]: generating rewritten candidates 1.478 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.486 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.492 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 2) 1.501 * * * [progress]: generating series expansions 1.501 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.502 * [approximate]: Taking taylor expansion of (/ (* x (- 1.0 (* (pow x 2) (pow y 2)))) (+ (* x y) 1.0)) in (x y) around 0 1.502 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (* (pow x 2) (pow y 2)))) (+ (* x y) 1.0)) in y 1.502 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in y 1.502 * [taylor]: Taking taylor expansion of x in y 1.502 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in y 1.502 * [taylor]: Taking taylor expansion of 1.0 in y 1.502 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.502 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.502 * [taylor]: Taking taylor expansion of x in y 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.502 * [taylor]: Taking taylor expansion of (+ (* x y) 1.0) in y 1.502 * [taylor]: Taking taylor expansion of (* x y) in y 1.502 * [taylor]: Taking taylor expansion of x in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.502 * [taylor]: Taking taylor expansion of 1.0 in y 1.502 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (* (pow x 2) (pow y 2)))) (+ (* x y) 1.0)) in x 1.503 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in x 1.503 * [taylor]: Taking taylor expansion of 1.0 in x 1.503 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.503 * [taylor]: Taking taylor expansion of y in x 1.503 * [taylor]: Taking taylor expansion of (+ (* x y) 1.0) in x 1.503 * [taylor]: Taking taylor expansion of (* x y) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [taylor]: Taking taylor expansion of y in x 1.503 * [taylor]: Taking taylor expansion of 1.0 in x 1.505 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (* (pow x 2) (pow y 2)))) (+ (* x y) 1.0)) in x 1.505 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in x 1.505 * [taylor]: Taking taylor expansion of 1.0 in x 1.505 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [taylor]: Taking taylor expansion of (+ (* x y) 1.0) in x 1.505 * [taylor]: Taking taylor expansion of (* x y) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [taylor]: Taking taylor expansion of 1.0 in x 1.507 * [taylor]: Taking taylor expansion of 1.0 in y 1.509 * [taylor]: Taking taylor expansion of (- (* 1.0 y)) in y 1.509 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.509 * [taylor]: Taking taylor expansion of 1.0 in y 1.509 * [taylor]: Taking taylor expansion of y in y 1.512 * [taylor]: Taking taylor expansion of 0 in y 1.518 * [taylor]: Taking taylor expansion of 0 in y 1.525 * [taylor]: Taking taylor expansion of 0 in y 1.526 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in (x y) around 0 1.526 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in y 1.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in y 1.526 * [taylor]: Taking taylor expansion of 1.0 in y 1.526 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.526 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.526 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.527 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in y 1.527 * [taylor]: Taking taylor expansion of x in y 1.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in y 1.527 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.527 * [taylor]: Taking taylor expansion of (* x y) in y 1.527 * [taylor]: Taking taylor expansion of x in y 1.527 * [taylor]: Taking taylor expansion of y in y 1.527 * [taylor]: Taking taylor expansion of 1.0 in y 1.528 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in x 1.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.528 * [taylor]: Taking taylor expansion of 1.0 in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.528 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.528 * [taylor]: Taking taylor expansion of y in x 1.528 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.528 * [taylor]: Taking taylor expansion of (* x y) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of y in x 1.529 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in x 1.530 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.530 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.530 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.530 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.530 * [taylor]: Taking taylor expansion of y in x 1.531 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.531 * [taylor]: Taking taylor expansion of (* x y) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of y in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.532 * [taylor]: Taking taylor expansion of -1 in y 1.532 * [taylor]: Taking taylor expansion of y in y 1.536 * [taylor]: Taking taylor expansion of 1.0 in y 1.545 * [taylor]: Taking taylor expansion of 0 in y 1.550 * [taylor]: Taking taylor expansion of 0 in y 1.557 * [taylor]: Taking taylor expansion of 0 in y 1.558 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0)))) in (x y) around 0 1.558 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0)))) in y 1.558 * [taylor]: Taking taylor expansion of -1 in y 1.558 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in y 1.558 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in y 1.558 * [taylor]: Taking taylor expansion of 1.0 in y 1.558 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.558 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.558 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.559 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in y 1.559 * [taylor]: Taking taylor expansion of x in y 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in y 1.559 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.559 * [taylor]: Taking taylor expansion of (* x y) in y 1.559 * [taylor]: Taking taylor expansion of x in y 1.559 * [taylor]: Taking taylor expansion of y in y 1.559 * [taylor]: Taking taylor expansion of 1.0 in y 1.560 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0)))) in x 1.560 * [taylor]: Taking taylor expansion of -1 in x 1.560 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in x 1.560 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.560 * [taylor]: Taking taylor expansion of 1.0 in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.560 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.560 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.560 * [taylor]: Taking taylor expansion of (* x y) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.561 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0)))) in x 1.562 * [taylor]: Taking taylor expansion of -1 in x 1.562 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) (* x (+ (/ 1 (* x y)) 1.0))) in x 1.562 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.562 * [taylor]: Taking taylor expansion of 1.0 in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.562 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.562 * [taylor]: Taking taylor expansion of y in x 1.563 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (* x y)) 1.0)) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) 1.0) in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.563 * [taylor]: Taking taylor expansion of (* x y) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of y in x 1.563 * [taylor]: Taking taylor expansion of 1.0 in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.565 * [taylor]: Taking taylor expansion of y in y 1.568 * [taylor]: Taking taylor expansion of (- 1.0) in y 1.568 * [taylor]: Taking taylor expansion of 1.0 in y 1.573 * [taylor]: Taking taylor expansion of 0 in y 1.580 * [taylor]: Taking taylor expansion of 0 in y 1.588 * [taylor]: Taking taylor expansion of 0 in y 1.589 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.589 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in (x y) around 0 1.589 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in y 1.589 * [taylor]: Taking taylor expansion of x in y 1.589 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in y 1.589 * [taylor]: Taking taylor expansion of 1.0 in y 1.589 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.589 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.589 * [taylor]: Taking taylor expansion of x in y 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in x 1.589 * [taylor]: Taking taylor expansion of 1.0 in x 1.589 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.589 * [taylor]: Taking taylor expansion of y in x 1.589 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* (pow x 2) (pow y 2)))) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (- 1.0 (* (pow x 2) (pow y 2))) in x 1.589 * [taylor]: Taking taylor expansion of 1.0 in x 1.589 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.589 * [taylor]: Taking taylor expansion of y in x 1.590 * [taylor]: Taking taylor expansion of 0 in y 1.591 * [taylor]: Taking taylor expansion of 1.0 in y 1.592 * [taylor]: Taking taylor expansion of 0 in y 1.594 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 1.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.594 * [taylor]: Taking taylor expansion of y in y 1.594 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in (x y) around 0 1.595 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in y 1.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in y 1.595 * [taylor]: Taking taylor expansion of 1.0 in y 1.595 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.595 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.595 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.595 * [taylor]: Taking taylor expansion of x in y 1.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.595 * [taylor]: Taking taylor expansion of y in y 1.595 * [taylor]: Taking taylor expansion of x in y 1.595 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in x 1.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.595 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.595 * [taylor]: Taking taylor expansion of y in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in x 1.596 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.596 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.596 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.596 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.597 * [taylor]: Taking taylor expansion of -1 in y 1.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.597 * [taylor]: Taking taylor expansion of y in y 1.600 * [taylor]: Taking taylor expansion of 0 in y 1.604 * [taylor]: Taking taylor expansion of 1.0 in y 1.608 * [taylor]: Taking taylor expansion of 0 in y 1.614 * [taylor]: Taking taylor expansion of 0 in y 1.621 * [taylor]: Taking taylor expansion of 0 in y 1.623 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x)) in (x y) around 0 1.623 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x)) in y 1.623 * [taylor]: Taking taylor expansion of -1 in y 1.623 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in y 1.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in y 1.623 * [taylor]: Taking taylor expansion of 1.0 in y 1.623 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.623 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.624 * [taylor]: Taking taylor expansion of x in y 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.629 * [taylor]: Taking taylor expansion of x in y 1.629 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x)) in x 1.629 * [taylor]: Taking taylor expansion of -1 in x 1.629 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in x 1.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.629 * [taylor]: Taking taylor expansion of 1.0 in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.629 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.629 * [taylor]: Taking taylor expansion of y in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x)) in x 1.630 * [taylor]: Taking taylor expansion of -1 in x 1.630 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) x) in x 1.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* (pow x 2) (pow y 2)))) in x 1.630 * [taylor]: Taking taylor expansion of 1.0 in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.630 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.630 * [taylor]: Taking taylor expansion of y in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.631 * [taylor]: Taking taylor expansion of y in y 1.634 * [taylor]: Taking taylor expansion of 0 in y 1.638 * [taylor]: Taking taylor expansion of (- 1.0) in y 1.638 * [taylor]: Taking taylor expansion of 1.0 in y 1.644 * [taylor]: Taking taylor expansion of 0 in y 1.650 * [taylor]: Taking taylor expansion of 0 in y 1.659 * [taylor]: Taking taylor expansion of 0 in y 1.661 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 2) 1.661 * [approximate]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in (x y) around 0 1.661 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.661 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.661 * [taylor]: Taking taylor expansion of x in y 1.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.661 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.661 * [taylor]: Taking taylor expansion of y in x 1.661 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.661 * [taylor]: Taking taylor expansion of y in x 1.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.662 * [taylor]: Taking taylor expansion of 0 in y 1.664 * [taylor]: Taking taylor expansion of 0 in y 1.667 * [taylor]: Taking taylor expansion of 0 in y 1.667 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in (x y) around 0 1.667 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.667 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.667 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.667 * [taylor]: Taking taylor expansion of x in y 1.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.667 * [taylor]: Taking taylor expansion of y in y 1.667 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.667 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.668 * [taylor]: Taking taylor expansion of y in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.668 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.668 * [taylor]: Taking taylor expansion of y in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.668 * [taylor]: Taking taylor expansion of y in y 1.670 * [taylor]: Taking taylor expansion of 0 in y 1.672 * [taylor]: Taking taylor expansion of 0 in y 1.675 * [taylor]: Taking taylor expansion of 0 in y 1.679 * [taylor]: Taking taylor expansion of 0 in y 1.680 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in (x y) around 0 1.680 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 1.680 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.680 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.680 * [taylor]: Taking taylor expansion of x in y 1.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.680 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.680 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.680 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 1.681 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.681 * [taylor]: Taking taylor expansion of y in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.683 * [taylor]: Taking taylor expansion of 0 in y 1.685 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [taylor]: Taking taylor expansion of 0 in y 1.692 * [taylor]: Taking taylor expansion of 0 in y 1.692 * * * [progress]: simplifying candidates 1.693 * [simplify]: Simplifying using # : (- (+ (log x) (log (- (* 1.0 1.0) (* (* x y) (* x y))))) (log (+ 1.0 (* x y)))) (- (log (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (log (+ 1.0 (* x y)))) (log (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (exp (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (/ (* (* (* x x) x) (* (* (- (* 1.0 1.0) (* (* x y) (* x y))) (- (* 1.0 1.0) (* (* x y) (* x y)))) (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (* (+ 1.0 (* x y)) (+ 1.0 (* x y))) (+ 1.0 (* x y)))) (/ (* (* (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (* (+ 1.0 (* x y)) (+ 1.0 (* x y))) (+ 1.0 (* x y)))) (* (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (* (* (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (sqrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (sqrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (- (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (- (+ 1.0 (* x y))) (/ x (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))) (/ x (sqrt (+ 1.0 (* x y)))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (sqrt (+ 1.0 (* x y)))) (/ x 1) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (+ 1.0 (* x y))) (/ 1 (+ 1.0 (* x y))) (/ (+ 1.0 (* x y)) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (sqrt (+ 1.0 (* x y)))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) 1) (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ (pow 1.0 3) (pow (* x y) 3))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* (+ 1.0 (* x y)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (* x y) (* x y)) (* (* x y) (* x y))) (* (* 1.0 1.0) (* (* x y) (* x y)))))) (* (+ 1.0 (* x y)) (+ (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ (log x) (log (- (* 1.0 1.0) (* (* x y) (* x y))))) (log (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (exp (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (* (* x x) x) (* (* (- (* 1.0 1.0) (* (* x y) (* x y))) (- (* 1.0 1.0) (* (* x y) (* x y)))) (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y)))))) (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (* (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (sqrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (sqrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* x (* 1.0 1.0)) (* x (- (* (* x y) (* x y)))) (* x (* 1.0 1.0)) (* x (- (* (* x y) (* x y)))) (* (* 1.0 1.0) x) (* (- (* (* x y) (* x y))) x) (* (* 1.0 1.0) x) (* (- (* (* x y) (* x y))) x) (* x (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))))) (* x (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* x 1) (* x (+ 1.0 (* x y))) (* (cbrt x) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* (sqrt x) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (pow (* 1.0 1.0) 3) (pow (* (* x y) (* x y)) 3))) (* x (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* x y) (* x y)) (* (* x y) (* x y))))) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) (+ 1 1) (+ 1 1) (+ (+ (log x) (log y)) (+ (log x) (log y))) (+ (+ (log x) (log y)) (log (* x y))) (+ (log (* x y)) (+ (log x) (log y))) (+ (log (* x y)) (log (* x y))) (log (* (* x y) (* x y))) (exp (* (* x y) (* x y))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (* x x) x) (* (* y y) y))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (* x y) (* x y)) (* x y))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (* x x) x) (* (* y y) y))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* (* x y) (* x y))) (cbrt (* (* x y) (* x y)))) (cbrt (* (* x y) (* x y))) (* (* (* (* x y) (* x y)) (* (* x y) (* x y))) (* (* x y) (* x y))) (sqrt (* (* x y) (* x y))) (sqrt (* (* x y) (* x y))) (* x x) (* y y) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* x y) x) (* y (* x y)) (- (* 1.0 x) (* 1.0 (* (pow x 2) y))) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (* 1.0 x) (- (* 1.0 x) (* (pow x 3) (pow y 2))) (- (* 1.0 x) (* (pow x 3) (pow y 2))) (* (pow x 2) (pow y 2)) (* (pow x 2) (pow y 2)) (* (pow x 2) (pow y 2)) 1.699 * * [simplify]: iteration 0 : 381 enodes (cost 646 ) 1.707 * * [simplify]: iteration 1 : 2121 enodes (cost 527 ) 1.758 * * [simplify]: iteration 2 : 5003 enodes (cost 527 ) 1.761 * [simplify]: Simplified to: (log (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (log (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (log (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (exp (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (pow (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))) 3) (pow (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))) 3) (* (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))))) (cbrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (pow (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y))) 3) (sqrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (sqrt (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))) (- (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (- (+ 1.0 (* x y))) (/ x (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))) (/ x (sqrt (+ 1.0 (* x y)))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (sqrt (+ 1.0 (* x y)))) x (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (+ 1.0 (* x y))) (/ 1 (+ 1.0 (* x y))) (/ (+ 1.0 (* x y)) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (sqrt (+ 1.0 (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))) (/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ (pow 1.0 3) (pow (* x y) 3))) x (* (+ (* (* (* x y) (* x y)) (+ (* (* x y) (* x y)) (* 1.0 1.0))) (* (pow 1.0 3) 1.0)) (+ 1.0 (* x y))) (* (+ 1.0 (* x y)) (+ (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (log (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (log (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (exp (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (pow (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) 3) (* (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y)))))) (cbrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (pow (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) 3) (sqrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (sqrt (* x (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* x (* 1.0 1.0)) (- (* (pow x 3) (pow y 2))) (* x (* 1.0 1.0)) (- (* (pow x 3) (pow y 2))) (* x (* 1.0 1.0)) (- (* (pow x 3) (pow y 2))) (* x (* 1.0 1.0)) (- (* (pow x 3) (pow y 2))) (* x (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))))) (* x (sqrt (- (* 1.0 1.0) (* (* x y) (* x y))))) x (* x (+ 1.0 (* x y))) (* (cbrt x) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* (sqrt x) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (- (pow (* 1.0 1.0) 3) (pow (* (* x y) (* x y)) 3))) (* (+ (* (pow 1.0 3) 1.0) (- (* (pow (* x y) 3) (* x y)))) x) 2 2 2 2 (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) 2 2 (* 2 (log (* x y))) (* 2 (log (* x y))) (* 2 (log (* x y))) (* 2 (log (* x y))) (* 2 (log (* x y))) (exp (* (* x y) (* x y))) (pow (* x y) 6) (pow (* x y) 6) (pow (* x y) 6) (pow (* x y) 6) (* (cbrt (* (* x y) (* x y))) (cbrt (* (* x y) (* x y)))) (cbrt (* (* x y) (* x y))) (pow (* x y) 6) (fabs (* x y)) (fabs (* x y)) (pow x 2) (pow y 2) 2 2 2 2 (* (* x y) x) (* y (* x y)) (* 1.0 (- x (* (pow x 2) y))) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (* 1.0 x) (- (* 1.0 x) (* (pow x 3) (pow y 2))) (- (* 1.0 x) (* (pow x 3) (pow y 2))) (* (* x y) (* x y)) (* (* x y) (* x y)) (* (* x y) (* x y)) 1.761 * * * [progress]: adding candidates to table 1.901 * [progress]: [Phase 3 of 3] Extracting. 1.901 * * [regime]: Finding splitpoints for: (# # # # # #) 1.902 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.902 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.926 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.947 * * * [regime]: Found split indices: #