26.576 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.019 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.036 * [taylor]: Taking taylor expansion of x 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 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.036 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 1.0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [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) x) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.060 * [taylor]: Taking taylor expansion of -1 in y 0.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) 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) 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 0.062 * [taylor]: Taking taylor expansion of 1.0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * * * [progress]: simplifying candidates 0.087 * [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)) 0.090 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.093 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.109 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.167 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.167 * [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))) 0.168 * * * [progress]: adding candidates to table 0.206 * * [progress]: iteration 2 / 4 0.206 * * * [progress]: picking best candidate 0.212 * * * * [pick]: Picked # 0.212 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.224 * * * * [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 0.259 * [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 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.260 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of 1.0 in y 0.273 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 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 0.287 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 1.0 in y 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 0.300 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.300 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.300 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of 1.0 in y 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.301 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [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 0.318 * [taylor]: Taking taylor expansion of 1.0 in y 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [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 0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [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 0.334 * [taylor]: Taking taylor expansion of 1.0 in y 0.344 * * * * [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 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [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 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.349 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 1.0 in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of x in x 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 0.351 * [taylor]: Taking taylor expansion of 1.0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.368 * [taylor]: Taking taylor expansion of -1 in y 0.368 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of 1.0 in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) 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) 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 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [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 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 1.0 in y 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 0.399 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.400 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.401 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 1.0 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [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 0.407 * [taylor]: Taking taylor expansion of 1.0 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [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 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [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 0.412 * [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 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.431 * [taylor]: Taking taylor expansion of -1 in x 0.431 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.432 * [taylor]: Taking taylor expansion of -1 in y 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of 1.0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.454 * * * [progress]: simplifying candidates 0.456 * [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))) 0.461 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.467 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.492 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.495 * [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))) 0.496 * * * [progress]: adding candidates to table 0.681 * * [progress]: iteration 3 / 4 0.681 * * * [progress]: picking best candidate 0.687 * * * * [pick]: Picked # 0.687 * * * [progress]: localizing error 0.696 * * * [progress]: generating rewritten candidates 0.696 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.699 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.701 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.704 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.788 * * * [progress]: generating series expansions 0.788 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.788 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.788 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.788 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of 1.0 in y 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.790 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of 1.0 in y 0.803 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.804 * [taylor]: Taking taylor expansion of y in y 0.804 * [taylor]: Taking taylor expansion of 1.0 in y 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of 1.0 in y 0.817 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 1.0 in y 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of 1.0 in y 0.830 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.831 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.831 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of 1.0 in y 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.832 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of 1.0 in y 0.845 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of 1.0 in y 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of 1.0 in y 0.859 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of 1.0 in y 0.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of 1.0 in y 0.876 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.876 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.876 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.876 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of 1.0 in y 0.877 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.877 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of 1.0 in y 0.890 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of 1.0 in y 0.893 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of 1.0 in y 0.904 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of 1.0 in y 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of 1.0 in y 0.917 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.918 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.918 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of 1.0 in y 0.918 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.919 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of 1.0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.923 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of 1.0 in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of 1.0 in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [taylor]: Taking taylor expansion of 0 in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.943 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.943 * [taylor]: Taking taylor expansion of -1 in y 0.943 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of 1.0 in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.944 * [taylor]: Taking taylor expansion of -1 in x 0.944 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.944 * [taylor]: Taking taylor expansion of -1 in x 0.944 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.944 * [taylor]: Taking taylor expansion of -1 in y 0.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of 1.0 in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.975 * * * [progress]: simplifying candidates 0.977 * [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)))) (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 (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (+ (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (exp (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (cbrt (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (- 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (- 1.0 (* y y))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (- 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (- 1.0 (* y y))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt 1))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt 1)) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) 1) (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* 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)))) (- (+ (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)) 0.986 * * [simplify]: iteration 0 : 448 enodes (cost 1458 ) 0.995 * * [simplify]: iteration 1 : 1747 enodes (cost 1223 ) 1.028 * * [simplify]: iteration 2 : 5001 enodes (cost 1105 ) 1.033 * [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)))) (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))) (* 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)))) (+ (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) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (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)) (* (* (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (pow (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) 3)) x) (* (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (- 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (pow (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) 3)) x) (* (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (- 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (* x (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)))) (* (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (* x (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)))) (* (* (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (pow (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) 3)) x) (* (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (- 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (pow (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) 3)) x) (* (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (- 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (- (* 1.0 1.0) (* (* y y) (* y y))) x) (- 1.0 (* y y)) (* (* x (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 (* y y)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (sqrt (- 1.0 (* y y))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) 3)) x) (pow (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) 3) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) 3)) x) (pow (sqrt (sqrt (- 1.0 (* y y)))) 3) (* (* (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y)))))) x) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (* (fabs (cbrt (sqrt (+ 1.0 (* y y))))) x) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (* (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) x) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (* (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) x) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (* (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) x) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (* (sqrt (sqrt (sqrt (+ 1.0 (* y y))))) x) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (sqrt (+ 1.0 (* y y))) (* (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) 3)) x) (* (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) 3)) x) (* (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (sqrt (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)))) (- (+ (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) (- (+ (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))) 1.034 * * * [progress]: adding candidates to table 1.329 * * [progress]: iteration 4 / 4 1.329 * * * [progress]: picking best candidate 1.337 * * * * [pick]: Picked # 1.337 * * * [progress]: localizing error 1.349 * * * [progress]: generating rewritten candidates 1.349 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.354 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.356 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.359 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 1.364 * * * [progress]: generating series expansions 1.364 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.364 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.364 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.364 * [taylor]: Taking taylor expansion of y in y 1.364 * [taylor]: Taking taylor expansion of 1.0 in y 1.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.366 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.366 * [taylor]: Taking taylor expansion of y in y 1.366 * [taylor]: Taking taylor expansion of 1.0 in y 1.379 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.380 * [taylor]: Taking taylor expansion of y in y 1.380 * [taylor]: Taking taylor expansion of 1.0 in y 1.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.382 * [taylor]: Taking taylor expansion of y in y 1.383 * [taylor]: Taking taylor expansion of 1.0 in y 1.393 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.393 * [taylor]: Taking taylor expansion of y in y 1.394 * [taylor]: Taking taylor expansion of 1.0 in y 1.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.396 * [taylor]: Taking taylor expansion of y in y 1.396 * [taylor]: Taking taylor expansion of 1.0 in y 1.407 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.407 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.407 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.407 * [taylor]: Taking taylor expansion of y in y 1.407 * [taylor]: Taking taylor expansion of 1.0 in y 1.408 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.408 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.408 * [taylor]: Taking taylor expansion of y in y 1.408 * [taylor]: Taking taylor expansion of 1.0 in y 1.426 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.426 * [taylor]: Taking taylor expansion of y in y 1.426 * [taylor]: Taking taylor expansion of 1.0 in y 1.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.429 * [taylor]: Taking taylor expansion of 1.0 in y 1.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.439 * [taylor]: Taking taylor expansion of y in y 1.440 * [taylor]: Taking taylor expansion of 1.0 in y 1.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.442 * [taylor]: Taking taylor expansion of y in y 1.442 * [taylor]: Taking taylor expansion of 1.0 in y 1.453 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.453 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.453 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.453 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.453 * [taylor]: Taking taylor expansion of y in y 1.453 * [taylor]: Taking taylor expansion of 1.0 in y 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.454 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.454 * [taylor]: Taking taylor expansion of y in y 1.454 * [taylor]: Taking taylor expansion of 1.0 in y 1.467 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.468 * [taylor]: Taking taylor expansion of y in y 1.468 * [taylor]: Taking taylor expansion of 1.0 in y 1.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.470 * [taylor]: Taking taylor expansion of y in y 1.470 * [taylor]: Taking taylor expansion of 1.0 in y 1.481 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.482 * [taylor]: Taking taylor expansion of 1.0 in y 1.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.484 * [taylor]: Taking taylor expansion of y in y 1.484 * [taylor]: Taking taylor expansion of 1.0 in y 1.495 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 1.495 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.495 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.495 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.495 * [taylor]: Taking taylor expansion of y in y 1.495 * [taylor]: Taking taylor expansion of 1.0 in y 1.496 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.496 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.496 * [taylor]: Taking taylor expansion of y in y 1.496 * [taylor]: Taking taylor expansion of 1.0 in y 1.514 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.515 * [taylor]: Taking taylor expansion of y in y 1.515 * [taylor]: Taking taylor expansion of 1.0 in y 1.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.517 * [taylor]: Taking taylor expansion of y in y 1.517 * [taylor]: Taking taylor expansion of 1.0 in y 1.528 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.528 * [taylor]: Taking taylor expansion of y in y 1.528 * [taylor]: Taking taylor expansion of 1.0 in y 1.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.530 * [taylor]: Taking taylor expansion of y in y 1.531 * [taylor]: Taking taylor expansion of 1.0 in y 1.541 * * * [progress]: simplifying candidates 1.543 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (exp (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt 1) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ 1.0 (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) 3)) (cbrt (pow (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) 3)) (cbrt (pow (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) 3)) (cbrt (pow (sqrt (- 1.0 (* y y))) 3)) (* (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (* (* (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (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)))) (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)))) (- (+ (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)))) (- (+ (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)))) 1.548 * * [simplify]: iteration 0 : 233 enodes (cost 486 ) 1.553 * * [simplify]: iteration 1 : 810 enodes (cost 481 ) 1.567 * * [simplify]: iteration 2 : 3411 enodes (cost 473 ) 1.639 * * [simplify]: iteration 3 : 5003 enodes (cost 473 ) 1.642 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (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 (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (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 (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) 1 (sqrt (+ 1.0 (* y y))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3/2)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3/2)) (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))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (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 (+ 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 (+ 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 (+ 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)))) (- (+ (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) (- (+ (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) 1.642 * * * [progress]: adding candidates to table 1.898 * [progress]: [Phase 3 of 3] Extracting. 1.898 * * [regime]: Finding splitpoints for: (# # # # # #) 1.899 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.899 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.918 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 1.938 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # #) 1.959 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.981 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.001 * * * [regime]: Found split indices: #