11.225 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.029 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.031 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.033 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.035 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.037 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.037 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.062 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 1.0 in y 0.062 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 1.0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 1.0 in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 1.0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.098 * [taylor]: Taking taylor expansion of -1 in y 0.098 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of 1.0 in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.099 * [taylor]: Taking taylor expansion of -1 in x 0.099 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.100 * [taylor]: Taking taylor expansion of -1 in x 0.100 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.100 * [taylor]: Taking taylor expansion of -1 in y 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of 1.0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.135 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.135 * [approximate]: Taking taylor expansion of (+ (pow y 2) 1.0) in (y) around 0 0.135 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of 1.0 in y 0.135 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of 1.0 in y 0.145 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 1.0 in y 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 1.0 in y 0.164 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of 1.0 in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of 1.0 in y 0.178 * * * [progress]: simplifying candidates 0.179 * [simplify]: Simplifying using # : (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (expm1 (+ 1.0 (* y y))) (log1p (+ 1.0 (* y y))) (* (exp 1.0) (exp (* y y))) (log (+ 1.0 (* y y))) (exp (+ 1.0 (* y y))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (+ (pow 1.0 3) (pow (* y y) 3)) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (- (* 1.0 1.0) (* (* y y) (* y y))) (- 1.0 (* y y)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) 0.183 * * [simplify]: iteration 0 : 176 enodes (cost 185 ) 0.187 * * [simplify]: iteration 1 : 831 enodes (cost 149 ) 0.203 * * [simplify]: iteration 2 : 3617 enodes (cost 145 ) 0.263 * * [simplify]: iteration 3 : 5001 enodes (cost 144 ) 0.264 * [simplify]: Simplified to: (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (fma y y 1.0)) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* x (fma y y 1.0)) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (fma y y 1.0)) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (fma y y 1.0)) (* (sqrt x) (fma y y 1.0)) (* x (fma y y 1.0)) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (* y y))) (expm1 (+ 1.0 (* y y))) (log1p (+ 1.0 (* y y))) (exp (fma y y 1.0)) (log (fma y y 1.0)) (exp (fma y y 1.0)) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (pow (fma y y 1.0) 3) (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (+ (pow 1.0 3) (pow y 6)) (fma 1.0 (- 1.0 (* y y)) (pow y 4)) (* (fma y y 1.0) (- 1.0 (pow y 2))) (- 1.0 (* y y)) (* x 1.0) (* x (fma y y 1.0)) (* x (fma y y 1.0)) (fma y y 1.0) (fma y y 1.0) (fma y y 1.0) 0.264 * * * [progress]: adding candidates to table 0.340 * * [progress]: iteration 2 / 4 0.340 * * * [progress]: picking best candidate 0.348 * * * * [pick]: Picked # 0.348 * * * [progress]: localizing error 0.354 * * * [progress]: generating rewritten candidates 0.354 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.359 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.363 * * * [progress]: generating series expansions 0.363 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.363 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.363 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.368 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.368 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.380 * [taylor]: Taking taylor expansion of -1 in y 0.380 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of -1 in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.392 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.392 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.392 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.392 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.393 * [taylor]: Taking taylor expansion of 1.0 in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.393 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.393 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 1.0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.399 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.400 * [taylor]: Taking taylor expansion of 1.0 in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.400 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.401 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 1.0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.427 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.427 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.428 * [taylor]: Taking taylor expansion of 1.0 in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.428 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.429 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of 1.0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.456 * * * [progress]: simplifying candidates 0.456 * [simplify]: Simplifying using # : (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (expm1 (+ (* x 1.0) (* x (* y y)))) (log1p (+ (* x 1.0) (* x (* y y)))) (* (exp (* x 1.0)) (exp (* x (* y y)))) (log (+ (* x 1.0) (* x (* y y)))) (exp (+ (* x 1.0) (* x (* y y)))) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (* (* (+ (* x 1.0) (* x (* y y))) (+ (* x 1.0) (* x (* y y)))) (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (+ (pow (* x 1.0) 3) (pow (* x (* y y)) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (* y y)) (* x (* y y))) (* (* x 1.0) (* x (* y y))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (* y y)) (* x (* y y)))) (- (* x 1.0) (* x (* y y))) (+ 1.0 (* y y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.460 * * [simplify]: iteration 0 : 177 enodes (cost 177 ) 0.464 * * [simplify]: iteration 1 : 681 enodes (cost 146 ) 0.481 * * [simplify]: iteration 2 : 2809 enodes (cost 143 ) 0.540 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.541 * [simplify]: Simplified to: (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (log (* x (* y y))) (log (* x (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (pow (* x (* y y)) 3) (pow (* x (* y y)) 3) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (pow (* x (* y y)) 3) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (expm1 (+ (* x 1.0) (* x (* y y)))) (log1p (+ (* x 1.0) (* x (* y y)))) (pow (exp x) (fma y y 1.0)) (+ (log x) (log (fma y y 1.0))) (pow (exp x) (fma y y 1.0)) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (pow (* (fma y y 1.0) x) 3) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (fma (* (* x 1.0) x) (- 1.0 (pow y 2)) (* x (* x (pow y 4)))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (fma y y 1.0) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.541 * * * [progress]: adding candidates to table 0.600 * * [progress]: iteration 3 / 4 0.600 * * * [progress]: picking best candidate 0.610 * * * * [pick]: Picked # 0.610 * * * [progress]: localizing error 0.615 * * * [progress]: generating rewritten candidates 0.615 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.620 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.624 * * * [progress]: generating series expansions 0.624 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.624 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.624 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.628 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.628 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.629 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.629 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.643 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.643 * [taylor]: Taking taylor expansion of -1 in y 0.643 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.644 * [taylor]: Taking taylor expansion of -1 in x 0.644 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.644 * [taylor]: Taking taylor expansion of -1 in x 0.644 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.645 * [taylor]: Taking taylor expansion of -1 in y 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.656 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.656 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.656 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.656 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.656 * [taylor]: Taking taylor expansion of 1.0 in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.656 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.656 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of 1.0 in y 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.663 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.663 * [taylor]: Taking taylor expansion of x in y 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.663 * [taylor]: Taking taylor expansion of 1.0 in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.663 * [taylor]: Taking taylor expansion of x in y 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.664 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.664 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of 1.0 in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.672 * [taylor]: Taking taylor expansion of 0 in y 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.688 * [taylor]: Taking taylor expansion of 0 in y 0.688 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.688 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.688 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.689 * [taylor]: Taking taylor expansion of 1.0 in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.689 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.689 * [taylor]: Taking taylor expansion of 1.0 in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.690 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of 1.0 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.710 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [taylor]: Taking taylor expansion of 0 in y 0.716 * * * [progress]: simplifying candidates 0.717 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (expm1 (+ (* x 1.0) (* (* x y) y))) (log1p (+ (* x 1.0) (* (* x y) y))) (* (exp (* x 1.0)) (exp (* (* x y) y))) (log (+ (* x 1.0) (* (* x y) y))) (exp (+ (* x 1.0) (* (* x y) y))) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (* (* (+ (* x 1.0) (* (* x y) y)) (+ (* x 1.0) (* (* x y) y))) (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (+ (pow (* x 1.0) 3) (pow (* (* x y) y) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* (* x y) y) (* (* x y) y)) (* (* x 1.0) (* (* x y) y)))) (- (* (* x 1.0) (* x 1.0)) (* (* (* x y) y) (* (* x y) y))) (- (* x 1.0) (* (* x y) y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.724 * * [simplify]: iteration 0 : 184 enodes (cost 173 ) 0.729 * * [simplify]: iteration 1 : 862 enodes (cost 149 ) 0.752 * * [simplify]: iteration 2 : 4478 enodes (cost 140 ) 0.848 * * [simplify]: iteration 3 : 5001 enodes (cost 139 ) 0.850 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (expm1 (+ (* x 1.0) (* (* x y) y))) (log1p (+ (* x 1.0) (* (* x y) y))) (pow (exp x) (fma y y 1.0)) (+ (log x) (log (fma y y 1.0))) (pow (exp x) (fma y y 1.0)) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (pow (fma x (pow y 2) (* 1.0 x)) 3) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (fma (* x x) (pow y 4) (* (* x 1.0) (* x (- 1.0 (pow y 2))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.850 * * * [progress]: adding candidates to table 0.899 * * [progress]: iteration 4 / 4 0.899 * * * [progress]: picking best candidate 0.908 * * * * [pick]: Picked # 0.909 * * * [progress]: localizing error 0.917 * * * [progress]: generating rewritten candidates 0.917 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.922 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.927 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.932 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.937 * * * [progress]: generating series expansions 0.937 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.938 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.938 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of 1.0 in y 0.938 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.939 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of 1.0 in y 0.940 * [taylor]: Taking taylor expansion of 0 in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.942 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.942 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of 1.0 in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of 1.0 in y 0.946 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.962 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.962 * [taylor]: Taking taylor expansion of -1 in y 0.962 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of 1.0 in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.963 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.964 * [taylor]: Taking taylor expansion of -1 in y 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of 1.0 in y 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.970 * [taylor]: Taking taylor expansion of 0 in y 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.988 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.988 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.988 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.989 * [taylor]: Taking taylor expansion of x in y 0.989 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.989 * [taylor]: Taking taylor expansion of 1.0 in y 0.989 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.989 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.989 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of 1.0 in y 0.991 * [taylor]: Taking taylor expansion of 0 in y 0.996 * [taylor]: Taking taylor expansion of 0 in y 0.996 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.996 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of 1.0 in y 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of 1.0 in y 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.002 * [taylor]: Taking taylor expansion of 0 in y 1.006 * [taylor]: Taking taylor expansion of 0 in y 1.010 * [taylor]: Taking taylor expansion of 0 in y 1.015 * [taylor]: Taking taylor expansion of 0 in y 1.015 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 1.015 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 1.015 * [taylor]: Taking taylor expansion of -1 in y 1.015 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of 1.0 in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.016 * [taylor]: Taking taylor expansion of -1 in x 1.016 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.017 * [taylor]: Taking taylor expansion of -1 in x 1.017 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 1.017 * [taylor]: Taking taylor expansion of -1 in y 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of 1.0 in y 1.020 * [taylor]: Taking taylor expansion of 0 in y 1.023 * [taylor]: Taking taylor expansion of 0 in y 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.042 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.042 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 1.042 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.042 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of 1.0 in y 1.042 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.043 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.043 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of 0 in y 1.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of 1.0 in y 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.047 * [taylor]: Taking taylor expansion of 0 in y 1.047 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 1.047 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of 1.0 in y 1.048 * [taylor]: Taking taylor expansion of x in y 1.048 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of 1.0 in y 1.051 * [taylor]: Taking taylor expansion of 0 in y 1.053 * [taylor]: Taking taylor expansion of 0 in y 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.061 * [taylor]: Taking taylor expansion of 0 in y 1.066 * [taylor]: Taking taylor expansion of 0 in y 1.066 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 1.066 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 1.066 * [taylor]: Taking taylor expansion of -1 in y 1.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.067 * [taylor]: Taking taylor expansion of 1.0 in y 1.067 * [taylor]: Taking taylor expansion of x in y 1.067 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.067 * [taylor]: Taking taylor expansion of -1 in x 1.067 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.067 * [taylor]: Taking taylor expansion of y in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.068 * [taylor]: Taking taylor expansion of -1 in x 1.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 1.068 * [taylor]: Taking taylor expansion of -1 in y 1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.069 * [taylor]: Taking taylor expansion of 1.0 in y 1.071 * [taylor]: Taking taylor expansion of 0 in y 1.074 * [taylor]: Taking taylor expansion of 0 in y 1.082 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [taylor]: Taking taylor expansion of 0 in y 1.095 * [taylor]: Taking taylor expansion of 0 in y 1.095 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.096 * [approximate]: Taking taylor expansion of (pow (* x (+ (pow y 2) 1.0)) 1/3) in (x y) around 0 1.096 * [taylor]: Taking taylor expansion of (pow (* x (+ (pow y 2) 1.0)) 1/3) in y 1.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (+ (pow y 2) 1.0))))) in y 1.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (+ (pow y 2) 1.0)))) in y 1.096 * [taylor]: Taking taylor expansion of 1/3 in y 1.096 * [taylor]: Taking taylor expansion of (log (* x (+ (pow y 2) 1.0))) in y 1.096 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 1.096 * [taylor]: Taking taylor expansion of x in y 1.096 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.096 * [taylor]: Taking taylor expansion of 1.0 in y 1.096 * [taylor]: Taking taylor expansion of (pow (* x (+ (pow y 2) 1.0)) 1/3) in x 1.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (+ (pow y 2) 1.0))))) in x 1.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (+ (pow y 2) 1.0)))) in x 1.096 * [taylor]: Taking taylor expansion of 1/3 in x 1.096 * [taylor]: Taking taylor expansion of (log (* x (+ (pow y 2) 1.0))) in x 1.096 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.096 * [taylor]: Taking taylor expansion of y in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (pow (* x (+ (pow y 2) 1.0)) 1/3) in x 1.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (+ (pow y 2) 1.0))))) in x 1.098 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (+ (pow y 2) 1.0)))) in x 1.098 * [taylor]: Taking taylor expansion of 1/3 in x 1.098 * [taylor]: Taking taylor expansion of (log (* x (+ (pow y 2) 1.0))) in x 1.098 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.098 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (+ (pow y 2) 1.0))))) in y 1.100 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (+ (pow y 2) 1.0)))) in y 1.100 * [taylor]: Taking taylor expansion of 1/3 in y 1.100 * [taylor]: Taking taylor expansion of (+ (log x) (log (+ (pow y 2) 1.0))) in y 1.100 * [taylor]: Taking taylor expansion of (log x) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.100 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of 1.0 in y 1.104 * [taylor]: Taking taylor expansion of 0 in y 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.129 * [taylor]: Taking taylor expansion of 0 in y 1.144 * [taylor]: Taking taylor expansion of 0 in y 1.145 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in (x y) around 0 1.145 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in y 1.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in y 1.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in y 1.145 * [taylor]: Taking taylor expansion of 1/3 in y 1.145 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 1.145 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of 1.0 in y 1.146 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in x 1.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in x 1.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in x 1.147 * [taylor]: Taking taylor expansion of 1/3 in x 1.147 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.147 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.147 * [taylor]: Taking taylor expansion of y in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in x 1.148 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in x 1.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in x 1.148 * [taylor]: Taking taylor expansion of 1/3 in x 1.148 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.148 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x)))) in y 1.149 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x))) in y 1.149 * [taylor]: Taking taylor expansion of 1/3 in y 1.149 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x)) in y 1.149 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.150 * [taylor]: Taking taylor expansion of 1.0 in y 1.150 * [taylor]: Taking taylor expansion of (log x) in y 1.150 * [taylor]: Taking taylor expansion of x in y 1.154 * [taylor]: Taking taylor expansion of 0 in y 1.165 * [taylor]: Taking taylor expansion of 0 in y 1.183 * [taylor]: Taking taylor expansion of 0 in y 1.200 * [taylor]: Taking taylor expansion of 0 in y 1.200 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3)) in (x y) around 0 1.200 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3)) in y 1.200 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.201 * [taylor]: Taking taylor expansion of -1 in y 1.201 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in y 1.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in y 1.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in y 1.201 * [taylor]: Taking taylor expansion of 1/3 in y 1.201 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 1.201 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.201 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of 1.0 in y 1.202 * [taylor]: Taking taylor expansion of x in y 1.203 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3)) in x 1.203 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.203 * [taylor]: Taking taylor expansion of -1 in x 1.204 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in x 1.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in x 1.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in x 1.204 * [taylor]: Taking taylor expansion of 1/3 in x 1.204 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.204 * [taylor]: Taking taylor expansion of y in x 1.204 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3)) in x 1.205 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.205 * [taylor]: Taking taylor expansion of -1 in x 1.206 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in x 1.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in x 1.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in x 1.206 * [taylor]: Taking taylor expansion of 1/3 in x 1.206 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.206 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.206 * [taylor]: Taking taylor expansion of y in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x))))) in y 1.207 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.207 * [taylor]: Taking taylor expansion of -1 in y 1.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x)))) in y 1.208 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x))) in y 1.208 * [taylor]: Taking taylor expansion of 1/3 in y 1.208 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x)) in y 1.208 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.208 * [taylor]: Taking taylor expansion of y in y 1.209 * [taylor]: Taking taylor expansion of 1.0 in y 1.209 * [taylor]: Taking taylor expansion of (log x) in y 1.209 * [taylor]: Taking taylor expansion of x in y 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.224 * [taylor]: Taking taylor expansion of 0 in y 1.250 * [taylor]: Taking taylor expansion of 0 in y 1.270 * [taylor]: Taking taylor expansion of 0 in y 1.272 * * * [progress]: simplifying candidates 1.273 * [simplify]: Simplifying using # : (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (expm1 (cbrt (* x (+ 1.0 (* y y))))) (log1p (cbrt (* x (+ 1.0 (* y y))))) (log (cbrt (* x (+ 1.0 (* y y))))) (exp (cbrt (* x (+ 1.0 (* y y))))) (cbrt x) (cbrt (+ 1.0 (* y y))) (cbrt (* x (+ (pow 1.0 3) (pow (* y y) 3)))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (* x (+ 1.0 (* y y))))) (cbrt (cbrt (* x (+ 1.0 (* y y)))))) (cbrt (cbrt (* x (+ 1.0 (* y y))))) (* (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y))))) (sqrt (cbrt (* x (+ 1.0 (* y y))))) (sqrt (cbrt (* x (+ 1.0 (* y y))))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* 0.3333333333333333 (* (pow y 2) (exp (* 1/3 (+ (log x) (log 1.0)))))) (exp (* 1/3 (+ (log x) (log 1.0))))) (+ (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* 0.3333333333333333 (/ (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (pow y 2)))) (+ (* 0.3333333333333333 (/ (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (pow y 2))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1))) 1.278 * * [simplify]: iteration 0 : 272 enodes (cost 514 ) 1.283 * * [simplify]: iteration 1 : 1093 enodes (cost 438 ) 1.303 * * [simplify]: iteration 2 : 4567 enodes (cost 421 ) 1.379 * * [simplify]: iteration 3 : 5001 enodes (cost 421 ) 1.382 * [simplify]: Simplified to: (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* (fma y y 1.0) x) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* (fma y y 1.0) x) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* (fma y y 1.0) x) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* (fma y y 1.0) x) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (* y y))) (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* (fma y y 1.0) x) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* (fma y y 1.0) x) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* (fma y y 1.0) x) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* (fma y y 1.0) x) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (* y y))) (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* (fma y y 1.0) x) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* (fma y y 1.0) x) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* (fma y y 1.0) x) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* (fma y y 1.0) x) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (* y y))) (expm1 (cbrt (* x (+ 1.0 (* y y))))) (log1p (cbrt (* x (+ 1.0 (* y y))))) (log (cbrt (* x (+ 1.0 (* y y))))) (exp (cbrt (* x (+ 1.0 (* y y))))) (cbrt x) (cbrt (+ 1.0 (* y y))) (cbrt (* x (+ (pow 1.0 3) (pow (* y y) 3)))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (* x (+ 1.0 (* y y))))) (cbrt (cbrt (* x (+ 1.0 (* y y)))))) (cbrt (cbrt (* x (+ 1.0 (* y y))))) (* (fma y y 1.0) x) (sqrt (cbrt (* x (+ 1.0 (* y y))))) (sqrt (cbrt (* x (+ 1.0 (* y y))))) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) (* (* (fma (* 0.3333333333333333 y) y 1) (pow x 1/3)) (pow 1.0 1/3)) (fma (/ 0.3333333333333333 y) (/ (pow (exp (fma (log (/ 1 y)) 2 (log (/ 1 x)))) -1/3) y) (pow (exp (fma (log (/ 1 y)) 2 (log (/ 1 x)))) -1/3)) (fma (/ (pow (exp -1/3) (fma 2 (log (/ -1 y)) (log (/ -1 x)))) (/ (pow y 2) (cbrt -1))) 0.3333333333333333 (* (cbrt -1) (pow (exp -1/3) (fma 2 (log (/ -1 y)) (log (/ -1 x)))))) 1.383 * * * [progress]: adding candidates to table 1.594 * [progress]: [Phase 3 of 3] Extracting. 1.594 * * [regime]: Finding splitpoints for: (# # # # # #) 1.595 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.595 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.615 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.625 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 1.642 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # #) 1.663 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.683 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.704 * * * [regime]: Found split indices: #