18.028 * [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 (* y y))) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [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 (+ (pow y 2) 1.0)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 1.0 in y 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.062 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 1.0 in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.064 * [taylor]: Taking taylor expansion of -1 in x 0.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 1.0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * * * [progress]: simplifying candidates 0.091 * [simplify]: Simplifying using # : (* 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)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.095 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.098 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.113 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.170 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.171 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 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))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.171 * * * [progress]: adding candidates to table 0.208 * * [progress]: iteration 2 / 4 0.208 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.222 * * * [progress]: generating rewritten candidates 0.222 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.225 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.227 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.247 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.258 * * * [progress]: generating series expansions 0.258 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.258 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.258 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of 1.0 in y 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.259 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 1.0 in y 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 1.0 in y 0.289 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 1.0 in y 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 1.0 in y 0.302 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.302 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.302 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 1.0 in y 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.304 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of 1.0 in y 0.317 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of 1.0 in y 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of 1.0 in y 0.330 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of 1.0 in y 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 1.0 in y 0.343 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.344 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of 1.0 in y 0.344 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 1.0 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.351 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of 1.0 in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 1.0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.370 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.370 * [taylor]: Taking taylor expansion of -1 in y 0.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 1.0 in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.371 * [taylor]: Taking taylor expansion of -1 in x 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.372 * [taylor]: Taking taylor expansion of -1 in x 0.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.372 * [taylor]: Taking taylor expansion of -1 in y 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 1.0 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.397 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.397 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.397 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of 1.0 in y 0.398 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.398 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.399 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.400 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 1.0 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of 1.0 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of 1.0 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [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 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.427 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.427 * [taylor]: Taking taylor expansion of -1 in y 0.427 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.430 * [taylor]: Taking taylor expansion of -1 in x 0.430 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of -1 in x 0.434 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.435 * [taylor]: Taking taylor expansion of -1 in y 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of 1.0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.457 * * * [progress]: simplifying candidates 0.458 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x 1) (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.464 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.469 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.494 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.497 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (+ (pow 1.0 3) (pow (* y y) 3)) x) (+ (* (pow y 2) (- (pow y 2) 1.0)) (* 1.0 1.0)) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (* (* y y) (* y y))) x) (- 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (log (* x (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) x) (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.497 * * * [progress]: adding candidates to table 0.690 * * [progress]: iteration 3 / 4 0.690 * * * [progress]: picking best candidate 0.699 * * * * [pick]: Picked # 0.699 * * * [progress]: localizing error 0.710 * * * [progress]: generating rewritten candidates 0.710 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1) 0.712 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.714 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.716 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.729 * * * [progress]: generating series expansions 0.729 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1) 0.729 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.729 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.729 * [taylor]: Taking taylor expansion of 1/3 in y 0.729 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.729 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of 1.0 in y 0.731 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.731 * [taylor]: Taking taylor expansion of 1/3 in y 0.731 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.731 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of 1.0 in y 0.796 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.796 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.796 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.796 * [taylor]: Taking taylor expansion of 1/3 in y 0.796 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of 1.0 in y 0.798 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.798 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.798 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.798 * [taylor]: Taking taylor expansion of 1/3 in y 0.798 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of 1.0 in y 0.845 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.845 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.845 * [taylor]: Taking taylor expansion of 1/3 in y 0.845 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of 1.0 in y 0.847 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.847 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.847 * [taylor]: Taking taylor expansion of 1/3 in y 0.847 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of 1.0 in y 0.896 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.896 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.896 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.896 * [taylor]: Taking taylor expansion of 1/3 in y 0.896 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.896 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of 1.0 in y 0.899 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.899 * [taylor]: Taking taylor expansion of 1/3 in y 0.899 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.899 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 1.0 in y 0.959 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.959 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.959 * [taylor]: Taking taylor expansion of 1/3 in y 0.959 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of 1.0 in y 0.961 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.961 * [taylor]: Taking taylor expansion of 1/3 in y 0.961 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of 1.0 in y 1.009 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.009 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.009 * [taylor]: Taking taylor expansion of 1/3 in y 1.009 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of 1.0 in y 1.010 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.010 * [taylor]: Taking taylor expansion of 1/3 in y 1.011 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.011 * [taylor]: Taking taylor expansion of 1.0 in y 1.059 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.059 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.059 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.059 * [taylor]: Taking taylor expansion of 1.0 in y 1.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.061 * [taylor]: Taking taylor expansion of 1.0 in y 1.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of 1.0 in y 1.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.076 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of 1.0 in y 1.087 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.087 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of 1.0 in y 1.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.090 * [taylor]: Taking taylor expansion of y in y 1.090 * [taylor]: Taking taylor expansion of 1.0 in y 1.101 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.101 * [approximate]: Taking taylor expansion of (* (pow (+ (pow y 2) 1.0) 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in (y) around 0 1.101 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) 1.0) 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in y 1.101 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in y 1.101 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) 1.0)))) in y 1.101 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) 1.0))) in y 1.102 * [taylor]: Taking taylor expansion of 1/6 in y 1.102 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.102 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.102 * [taylor]: Taking taylor expansion of 1.0 in y 1.104 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in y 1.104 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) 1.0) 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in y 1.104 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in y 1.104 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) 1.0)))) in y 1.104 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) 1.0))) in y 1.104 * [taylor]: Taking taylor expansion of 1/6 in y 1.104 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.104 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.104 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of 1.0 in y 1.106 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in y 1.177 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in (y) around 0 1.177 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 1.177 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.177 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.177 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.177 * [taylor]: Taking taylor expansion of 1/6 in y 1.177 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.177 * [taylor]: Taking taylor expansion of 1.0 in y 1.178 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 1.178 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 1.178 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.178 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.178 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.179 * [taylor]: Taking taylor expansion of 1/6 in y 1.179 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.179 * [taylor]: Taking taylor expansion of y in y 1.179 * [taylor]: Taking taylor expansion of 1.0 in y 1.180 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 1.232 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in (y) around 0 1.232 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 1.232 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.232 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.232 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.232 * [taylor]: Taking taylor expansion of 1/6 in y 1.232 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.232 * [taylor]: Taking taylor expansion of y in y 1.233 * [taylor]: Taking taylor expansion of 1.0 in y 1.234 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 1.234 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 1.234 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.234 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.234 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.234 * [taylor]: Taking taylor expansion of 1/6 in y 1.234 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.234 * [taylor]: Taking taylor expansion of y in y 1.235 * [taylor]: Taking taylor expansion of 1.0 in y 1.235 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 1.289 * * * [progress]: simplifying candidates 1.290 * [simplify]: Simplifying using # : (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (+ (log (fabs (cbrt (+ 1.0 (* y y))))) (log (sqrt (cbrt (+ 1.0 (* y y)))))) (log (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (exp (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (* (* (fabs (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))) (fabs (cbrt (+ 1.0 (* y y))))) (* (* (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))))) (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (* (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (sqrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (sqrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (cbrt (+ 1.0 (* y y))))) (cbrt (sqrt (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt 1))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt 1)) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) 1) (* (cbrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (* (pow 1.0 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (+ (* 0.013888888888888888 (* (* (pow y 4) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow 1.0 1/6))) (* 0.16666666666666666 (* (* (pow y 2) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow 1.0 1/6))))) (* 1/12 (* (* (pow y 4) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow (/ 1 (pow 1.0 11)) 1/6)))) (- (+ (* 0.16666666666666666 (* (pow (/ 1 (pow y 5)) 1/3) (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* (pow y 1/3) (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.06944444444444445 (* (pow (/ 1 (pow y 11)) 1/3) (fabs (pow (+ (pow y 2) 1.0) 1/3))))) (- (+ (* (pow (* -1 y) 1/3) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (* 0.16666666666666666 (* (pow (/ -1 (pow y 5)) 1/3) (fabs (pow (+ (pow y 2) 1.0) 1/3))))) (* 0.06944444444444445 (* (pow (/ -1 (pow y 11)) 1/3) (fabs (pow (+ (pow y 2) 1.0) 1/3))))) 1.297 * * [simplify]: iteration 0 : 456 enodes (cost 794 ) 1.306 * * [simplify]: iteration 1 : 1744 enodes (cost 738 ) 1.338 * * [simplify]: iteration 2 : 5001 enodes (cost 706 ) 1.341 * [simplify]: Simplified to: (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (pow (+ (pow y 2) 1.0) 1/3) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (pow (+ (pow y 2) 1.0) 1/3) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (log (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (log (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (exp (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (pow (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) 3) (* (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))))) (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (pow (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) 3) (sqrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (sqrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (cbrt (+ 1.0 (* y y))))) (cbrt (sqrt (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt 1))) (* (fabs (cbrt (cbrt (+ 1.0 (* y y))))) (fabs (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (fabs (cbrt (+ 1.0 (* y y)))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (fabs (cbrt (+ 1.0 (* y y)))) (* (cbrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (+ (* (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow y 4)) (* 0.3333333333333333 (pow y 2)))) (- (pow 1.0 1/3) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (+ (* (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow y 4)) (* 0.3333333333333333 (pow y 2)))) (- (pow 1.0 1/3) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (+ (* (* (pow 1.0 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (+ (* 0.16666666666666666 (pow y 2)) 1)) (* (* (pow y 4) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (- (* (pow 1.0 1/6) 0.013888888888888888) (* (pow (/ 1 (pow 1.0 11)) 1/6) 1/12)))) (* (fabs (cbrt (+ 1.0 (* y y)))) (+ (* 0.16666666666666666 (pow (/ 1 (pow y 5)) 1/3)) (- (pow y 1/3) (* 0.06944444444444445 (pow (/ 1 (pow y 11)) 1/3))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (+ (pow (* -1 y) 1/3) (- (* 0.16666666666666666 (pow (/ -1 (pow y 5)) 1/3)) (* 0.06944444444444445 (pow (/ -1 (pow y 11)) 1/3))))) 1.342 * * * [progress]: adding candidates to table 1.631 * * [progress]: iteration 4 / 4 1.631 * * * [progress]: picking best candidate 1.638 * * * * [pick]: Picked # 1.638 * * * [progress]: localizing error 1.646 * * * [progress]: generating rewritten candidates 1.646 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.647 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.649 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.650 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.675 * * * [progress]: generating series expansions 1.675 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.675 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 1.675 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.675 * [taylor]: Taking taylor expansion of 1/3 in y 1.675 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.675 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.675 * [taylor]: Taking taylor expansion of 1.0 in y 1.678 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.678 * [taylor]: Taking taylor expansion of 1/3 in y 1.678 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.678 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.678 * [taylor]: Taking taylor expansion of y in y 1.678 * [taylor]: Taking taylor expansion of 1.0 in y 1.739 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.739 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.739 * [taylor]: Taking taylor expansion of 1/3 in y 1.739 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.739 * [taylor]: Taking taylor expansion of y in y 1.740 * [taylor]: Taking taylor expansion of 1.0 in y 1.741 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.741 * [taylor]: Taking taylor expansion of 1/3 in y 1.741 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.741 * [taylor]: Taking taylor expansion of y in y 1.741 * [taylor]: Taking taylor expansion of 1.0 in y 1.792 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.792 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.792 * [taylor]: Taking taylor expansion of 1/3 in y 1.792 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.792 * [taylor]: Taking taylor expansion of y in y 1.793 * [taylor]: Taking taylor expansion of 1.0 in y 1.793 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.793 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.793 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.794 * [taylor]: Taking taylor expansion of 1/3 in y 1.794 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.794 * [taylor]: Taking taylor expansion of y in y 1.794 * [taylor]: Taking taylor expansion of 1.0 in y 1.846 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.846 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 1.846 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.846 * [taylor]: Taking taylor expansion of 1/3 in y 1.846 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.846 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.846 * [taylor]: Taking taylor expansion of y in y 1.846 * [taylor]: Taking taylor expansion of 1.0 in y 1.848 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.848 * [taylor]: Taking taylor expansion of 1/3 in y 1.848 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.848 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.848 * [taylor]: Taking taylor expansion of y in y 1.848 * [taylor]: Taking taylor expansion of 1.0 in y 1.917 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.917 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.917 * [taylor]: Taking taylor expansion of 1/3 in y 1.917 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.917 * [taylor]: Taking taylor expansion of y in y 1.918 * [taylor]: Taking taylor expansion of 1.0 in y 1.918 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.918 * [taylor]: Taking taylor expansion of 1/3 in y 1.918 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.919 * [taylor]: Taking taylor expansion of y in y 1.919 * [taylor]: Taking taylor expansion of 1.0 in y 1.964 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.964 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.964 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.964 * [taylor]: Taking taylor expansion of 1/3 in y 1.964 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.964 * [taylor]: Taking taylor expansion of y in y 1.964 * [taylor]: Taking taylor expansion of 1.0 in y 1.965 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.965 * [taylor]: Taking taylor expansion of 1/3 in y 1.965 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.965 * [taylor]: Taking taylor expansion of y in y 1.966 * [taylor]: Taking taylor expansion of 1.0 in y 2.016 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.017 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 2.017 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 2.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 2.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 2.017 * [taylor]: Taking taylor expansion of 1/3 in y 2.017 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 2.017 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 2.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.017 * [taylor]: Taking taylor expansion of y in y 2.017 * [taylor]: Taking taylor expansion of 1.0 in y 2.019 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 2.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 2.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 2.019 * [taylor]: Taking taylor expansion of 1/3 in y 2.019 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 2.019 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 2.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.019 * [taylor]: Taking taylor expansion of y in y 2.019 * [taylor]: Taking taylor expansion of 1.0 in y 2.086 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 2.086 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 2.086 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 2.086 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 2.086 * [taylor]: Taking taylor expansion of 1/3 in y 2.087 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 2.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.087 * [taylor]: Taking taylor expansion of y in y 2.087 * [taylor]: Taking taylor expansion of 1.0 in y 2.088 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 2.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 2.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 2.088 * [taylor]: Taking taylor expansion of 1/3 in y 2.088 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.088 * [taylor]: Taking taylor expansion of y in y 2.089 * [taylor]: Taking taylor expansion of 1.0 in y 2.133 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 2.133 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 2.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 2.133 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 2.133 * [taylor]: Taking taylor expansion of 1/3 in y 2.133 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 2.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.133 * [taylor]: Taking taylor expansion of y in y 2.134 * [taylor]: Taking taylor expansion of 1.0 in y 2.135 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 2.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 2.135 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 2.135 * [taylor]: Taking taylor expansion of 1/3 in y 2.135 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 2.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.135 * [taylor]: Taking taylor expansion of y in y 2.135 * [taylor]: Taking taylor expansion of 1.0 in y 2.185 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.185 * [approximate]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in (x y) around 0 2.185 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in y 2.186 * [taylor]: Taking taylor expansion of x in y 2.186 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in y 2.186 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in y 2.186 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in y 2.186 * [taylor]: Taking taylor expansion of 1/3 in y 2.186 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in y 2.186 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in y 2.186 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 2.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.186 * [taylor]: Taking taylor expansion of y in y 2.186 * [taylor]: Taking taylor expansion of 1.0 in y 2.188 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in x 2.188 * [taylor]: Taking taylor expansion of x in x 2.188 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in x 2.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in x 2.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in x 2.188 * [taylor]: Taking taylor expansion of 1/3 in x 2.188 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in x 2.188 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in x 2.188 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 2.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.188 * [taylor]: Taking taylor expansion of y in x 2.188 * [taylor]: Taking taylor expansion of 1.0 in x 2.189 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in x 2.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in x 2.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in x 2.189 * [taylor]: Taking taylor expansion of 1/3 in x 2.189 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in x 2.189 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in x 2.189 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 2.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.189 * [taylor]: Taking taylor expansion of y in x 2.189 * [taylor]: Taking taylor expansion of 1.0 in x 2.190 * [taylor]: Taking taylor expansion of 0 in y 2.192 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in y 2.192 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in y 2.192 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in y 2.192 * [taylor]: Taking taylor expansion of 1/3 in y 2.192 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in y 2.192 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in y 2.192 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 2.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.192 * [taylor]: Taking taylor expansion of y in y 2.192 * [taylor]: Taking taylor expansion of 1.0 in y 2.199 * [taylor]: Taking taylor expansion of 0 in y 2.208 * [taylor]: Taking taylor expansion of 0 in y 2.208 * [approximate]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in (x y) around 0 2.208 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in y 2.208 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 2.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 2.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 2.209 * [taylor]: Taking taylor expansion of 1/3 in y 2.209 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 2.209 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 2.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.209 * [taylor]: Taking taylor expansion of y in y 2.209 * [taylor]: Taking taylor expansion of 1.0 in y 2.210 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.210 * [taylor]: Taking taylor expansion of x in y 2.210 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 2.210 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 2.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 2.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 2.210 * [taylor]: Taking taylor expansion of 1/3 in x 2.210 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 2.210 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 2.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 2.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.210 * [taylor]: Taking taylor expansion of y in x 2.211 * [taylor]: Taking taylor expansion of 1.0 in x 2.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.211 * [taylor]: Taking taylor expansion of x in x 2.211 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 2.211 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 2.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 2.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 2.212 * [taylor]: Taking taylor expansion of 1/3 in x 2.212 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 2.212 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 2.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.212 * [taylor]: Taking taylor expansion of y in x 2.212 * [taylor]: Taking taylor expansion of 1.0 in x 2.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.212 * [taylor]: Taking taylor expansion of x in x 2.213 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 2.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 2.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 2.213 * [taylor]: Taking taylor expansion of 1/3 in y 2.213 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 2.213 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 2.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.213 * [taylor]: Taking taylor expansion of y in y 2.214 * [taylor]: Taking taylor expansion of 1.0 in y 2.218 * [taylor]: Taking taylor expansion of 0 in y 2.232 * [taylor]: Taking taylor expansion of 0 in y 2.251 * [taylor]: Taking taylor expansion of 0 in y 2.267 * [taylor]: Taking taylor expansion of 0 in y 2.268 * [approximate]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in (x y) around 0 2.268 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in y 2.268 * [taylor]: Taking taylor expansion of -1 in y 2.268 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in y 2.268 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 2.268 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 2.268 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 2.268 * [taylor]: Taking taylor expansion of 1/3 in y 2.268 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 2.268 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 2.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.268 * [taylor]: Taking taylor expansion of y in y 2.268 * [taylor]: Taking taylor expansion of 1.0 in y 2.269 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.269 * [taylor]: Taking taylor expansion of x in y 2.269 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in x 2.270 * [taylor]: Taking taylor expansion of -1 in x 2.270 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 2.270 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 2.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 2.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 2.270 * [taylor]: Taking taylor expansion of 1/3 in x 2.270 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 2.270 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 2.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 2.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.270 * [taylor]: Taking taylor expansion of y in x 2.270 * [taylor]: Taking taylor expansion of 1.0 in x 2.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.271 * [taylor]: Taking taylor expansion of x in x 2.271 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in x 2.271 * [taylor]: Taking taylor expansion of -1 in x 2.271 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 2.271 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 2.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 2.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 2.271 * [taylor]: Taking taylor expansion of 1/3 in x 2.271 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 2.271 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 2.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.271 * [taylor]: Taking taylor expansion of y in x 2.271 * [taylor]: Taking taylor expansion of 1.0 in x 2.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.272 * [taylor]: Taking taylor expansion of x in x 2.273 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3)) in y 2.273 * [taylor]: Taking taylor expansion of -1 in y 2.273 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 2.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 2.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 2.273 * [taylor]: Taking taylor expansion of 1/3 in y 2.273 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 2.273 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 2.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.273 * [taylor]: Taking taylor expansion of y in y 2.273 * [taylor]: Taking taylor expansion of 1.0 in y 2.279 * [taylor]: Taking taylor expansion of 0 in y 2.288 * [taylor]: Taking taylor expansion of 0 in y 2.308 * [taylor]: Taking taylor expansion of 0 in y 2.331 * [taylor]: Taking taylor expansion of 0 in y 2.332 * * * [progress]: simplifying candidates 2.333 * [simplify]: Simplifying using # : (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (+ (log x) (+ (log (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))))) (+ (log x) (log (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (log (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (exp (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* (* x x) x) (* (+ 1.0 (* y y)) (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* x (cbrt (+ 1.0 (* y y)))) (* (cbrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (sqrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (* x (pow 1.0 1/3)) (+ (* 0.6666666666666666 (* x (pow (/ 1 (pow y 2)) 1/3))) (* x (pow (pow y 4) 1/3))) (+ (* 0.6666666666666666 (* x (pow (/ 1 (pow y 2)) 1/3))) (* x (pow (pow y 4) 1/3))) 2.339 * * [simplify]: iteration 0 : 299 enodes (cost 693 ) 2.344 * * [simplify]: iteration 1 : 951 enodes (cost 634 ) 2.361 * * [simplify]: iteration 2 : 3234 enodes (cost 616 ) 2.433 * * [simplify]: iteration 3 : 5002 enodes (cost 616 ) 2.436 * [simplify]: Simplified to: (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (exp (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (* (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* x (cbrt (+ 1.0 (* y y)))) (* (cbrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (sqrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (* x (pow 1.0 1/3)) (* x (+ (pow (pow y 4) 1/3) (* (pow (/ 1 (pow y 2)) 1/3) 0.6666666666666666))) (* x (+ (pow (pow y 4) 1/3) (* (pow (/ 1 (pow y 2)) 1/3) 0.6666666666666666))) 2.437 * * * [progress]: adding candidates to table 2.657 * [progress]: [Phase 3 of 3] Extracting. 2.657 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.659 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 2.659 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 2.679 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # # #) 2.702 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # # #) 2.725 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.750 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.776 * * * [regime]: Found split indices: #