8.073 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.020 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 1.0 in y 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) 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) 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 0.061 * [taylor]: Taking taylor expansion of 1.0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * * * [progress]: simplifying candidates 0.086 * [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)) 0.089 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.093 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.107 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.166 * * [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))) 0.167 * * * [progress]: adding candidates to table 0.207 * * [progress]: iteration 2 / 4 0.207 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.222 * * * [progress]: generating rewritten candidates 0.222 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.224 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.227 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.239 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.248 * * * [progress]: generating series expansions 0.248 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.248 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.248 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 1.0 in y 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.250 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of 1.0 in y 0.262 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 1.0 in y 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1.0 in y 0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 1.0 in y 0.290 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.290 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.290 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 1.0 in y 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.291 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 1.0 in y 0.304 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of 1.0 in y 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of 1.0 in y 0.321 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of 1.0 in y 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.334 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.335 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.335 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of 1.0 in y 0.335 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 1.0 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 1.0 in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 1.0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.359 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.359 * [taylor]: Taking taylor expansion of -1 in y 0.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 1.0 in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.360 * [taylor]: Taking taylor expansion of -1 in x 0.360 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.360 * [taylor]: Taking taylor expansion of -1 in y 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of 1.0 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.385 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.386 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.386 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.386 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of 1.0 in y 0.387 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.388 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.389 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of 1.0 in y 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 1.0 in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 1.0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.419 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.419 * [taylor]: Taking taylor expansion of -1 in y 0.419 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of 1.0 in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.424 * [taylor]: Taking taylor expansion of -1 in y 0.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of 1.0 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * * * [progress]: simplifying candidates 0.448 * [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))) 0.454 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.460 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.489 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.492 * [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))) 0.493 * * * [progress]: adding candidates to table 0.697 * * [progress]: iteration 3 / 4 0.697 * * * [progress]: picking best candidate 0.708 * * * * [pick]: Picked # 0.708 * * * [progress]: localizing error 0.717 * * * [progress]: generating rewritten candidates 0.717 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.719 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.722 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.724 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.751 * * * [progress]: generating series expansions 0.751 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.751 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.751 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.751 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of 1.0 in y 0.753 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.753 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of 1.0 in y 0.766 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of 1.0 in y 0.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of 1.0 in y 0.779 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of 1.0 in y 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.782 * [taylor]: Taking taylor expansion of 1.0 in y 0.793 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.793 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.793 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of 1.0 in y 0.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.794 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of 1.0 in y 0.807 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of 1.0 in y 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of 1.0 in y 0.825 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of 1.0 in y 0.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of 1.0 in y 0.839 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.839 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.839 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.839 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of 1.0 in y 0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.840 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of 1.0 in y 0.853 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of 1.0 in y 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of 1.0 in y 0.868 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of 1.0 in y 0.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of 1.0 in y 0.881 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.882 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.882 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.882 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of 1.0 in y 0.882 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.882 * [taylor]: Taking taylor expansion of y in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.882 * [taylor]: Taking taylor expansion of y in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.883 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of 1.0 in y 0.884 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.887 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of 1.0 in y 0.887 * [taylor]: Taking taylor expansion of x in y 0.888 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of 1.0 in y 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.901 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.910 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.910 * [taylor]: Taking taylor expansion of -1 in y 0.910 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of 1.0 in y 0.911 * [taylor]: Taking taylor expansion of x in y 0.911 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.911 * [taylor]: Taking taylor expansion of -1 in x 0.911 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.912 * [taylor]: Taking taylor expansion of -1 in x 0.912 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.912 * [taylor]: Taking taylor expansion of -1 in y 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of 1.0 in y 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.930 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [taylor]: Taking taylor expansion of 0 in y 0.938 * * * [progress]: simplifying candidates 0.940 * [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)) 0.949 * * [simplify]: iteration 0 : 448 enodes (cost 1458 ) 0.958 * * [simplify]: iteration 1 : 1747 enodes (cost 1223 ) 0.992 * * [simplify]: iteration 2 : 5001 enodes (cost 1105 ) 0.998 * [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))) 0.998 * * * [progress]: adding candidates to table 1.289 * * [progress]: iteration 4 / 4 1.289 * * * [progress]: picking best candidate 1.301 * * * * [pick]: Picked # 1.301 * * * [progress]: localizing error 1.310 * * * [progress]: generating rewritten candidates 1.310 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.313 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.316 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 1.318 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.332 * * * [progress]: generating series expansions 1.332 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.333 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.333 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.333 * [taylor]: Taking taylor expansion of 1.0 in y 1.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.334 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.334 * [taylor]: Taking taylor expansion of y in y 1.334 * [taylor]: Taking taylor expansion of 1.0 in y 1.347 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.347 * [taylor]: Taking taylor expansion of 1.0 in y 1.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.349 * [taylor]: Taking taylor expansion of y in y 1.350 * [taylor]: Taking taylor expansion of 1.0 in y 1.360 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.360 * [taylor]: Taking taylor expansion of y in y 1.360 * [taylor]: Taking taylor expansion of 1.0 in y 1.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.362 * [taylor]: Taking taylor expansion of y in y 1.363 * [taylor]: Taking taylor expansion of 1.0 in y 1.378 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.378 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.378 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.378 * [taylor]: Taking taylor expansion of y in y 1.378 * [taylor]: Taking taylor expansion of 1.0 in y 1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.379 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.379 * [taylor]: Taking taylor expansion of y in y 1.379 * [taylor]: Taking taylor expansion of 1.0 in y 1.392 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.392 * [taylor]: Taking taylor expansion of y in y 1.392 * [taylor]: Taking taylor expansion of 1.0 in y 1.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.394 * [taylor]: Taking taylor expansion of y in y 1.395 * [taylor]: Taking taylor expansion of 1.0 in y 1.405 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.405 * [taylor]: Taking taylor expansion of y in y 1.406 * [taylor]: Taking taylor expansion of 1.0 in y 1.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 1.419 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.419 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.419 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.419 * [taylor]: Taking taylor expansion of y in y 1.419 * [taylor]: Taking taylor expansion of 1.0 in y 1.421 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.421 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.421 * [taylor]: Taking taylor expansion of y in y 1.421 * [taylor]: Taking taylor expansion of 1.0 in y 1.434 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.434 * [taylor]: Taking taylor expansion of y in y 1.435 * [taylor]: Taking taylor expansion of 1.0 in y 1.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.437 * [taylor]: Taking taylor expansion of y in y 1.437 * [taylor]: Taking taylor expansion of 1.0 in y 1.449 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.449 * [taylor]: Taking taylor expansion of y in y 1.449 * [taylor]: Taking taylor expansion of 1.0 in y 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.451 * [taylor]: Taking taylor expansion of y in y 1.452 * [taylor]: Taking taylor expansion of 1.0 in y 1.469 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.469 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 1.469 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 1.469 * [taylor]: Taking taylor expansion of x in y 1.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.469 * [taylor]: Taking taylor expansion of 1.0 in y 1.470 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.470 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.470 * [taylor]: Taking taylor expansion of y in x 1.470 * [taylor]: Taking taylor expansion of 1.0 in x 1.471 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.471 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.471 * [taylor]: Taking taylor expansion of y in x 1.471 * [taylor]: Taking taylor expansion of 1.0 in x 1.472 * [taylor]: Taking taylor expansion of 0 in y 1.472 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.472 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.472 * [taylor]: Taking taylor expansion of y in y 1.472 * [taylor]: Taking taylor expansion of 1.0 in y 1.475 * [taylor]: Taking taylor expansion of 0 in y 1.477 * [taylor]: Taking taylor expansion of 0 in y 1.478 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 1.478 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 1.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.478 * [taylor]: Taking taylor expansion of y in y 1.479 * [taylor]: Taking taylor expansion of 1.0 in y 1.481 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.481 * [taylor]: Taking taylor expansion of x in y 1.481 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.481 * [taylor]: Taking taylor expansion of y in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.482 * [taylor]: Taking taylor expansion of y in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.483 * [taylor]: Taking taylor expansion of y in y 1.484 * [taylor]: Taking taylor expansion of 1.0 in y 1.487 * [taylor]: Taking taylor expansion of 0 in y 1.489 * [taylor]: Taking taylor expansion of 0 in y 1.494 * [taylor]: Taking taylor expansion of 0 in y 1.499 * [taylor]: Taking taylor expansion of 0 in y 1.500 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 1.500 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 1.500 * [taylor]: Taking taylor expansion of -1 in y 1.500 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 1.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.500 * [taylor]: Taking taylor expansion of 1.0 in y 1.502 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.502 * [taylor]: Taking taylor expansion of x in y 1.502 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 1.502 * [taylor]: Taking taylor expansion of -1 in x 1.502 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.502 * [taylor]: Taking taylor expansion of y in x 1.503 * [taylor]: Taking taylor expansion of 1.0 in x 1.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 1.504 * [taylor]: Taking taylor expansion of -1 in x 1.504 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.504 * [taylor]: Taking taylor expansion of y in x 1.504 * [taylor]: Taking taylor expansion of 1.0 in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 1.505 * [taylor]: Taking taylor expansion of -1 in y 1.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.505 * [taylor]: Taking taylor expansion of y in y 1.506 * [taylor]: Taking taylor expansion of 1.0 in y 1.509 * [taylor]: Taking taylor expansion of 0 in y 1.512 * [taylor]: Taking taylor expansion of 0 in y 1.520 * [taylor]: Taking taylor expansion of 0 in y 1.527 * [taylor]: Taking taylor expansion of 0 in y 1.527 * * * [progress]: simplifying candidates 1.529 * [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 (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x x) x) (* (* (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 (sqrt (+ 1.0 (* y y))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (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 (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (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 (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 (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 (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 (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt 1))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt 1)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) 1) (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* 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)))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 1.535 * * [simplify]: iteration 0 : 298 enodes (cost 736 ) 1.541 * * [simplify]: iteration 1 : 1063 enodes (cost 653 ) 1.566 * * [simplify]: iteration 2 : 4704 enodes (cost 639 ) 1.659 * * [simplify]: iteration 3 : 5001 enodes (cost 639 ) 1.662 * [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 (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (pow (exp x) (sqrt (+ 1.0 (* y y)))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) x) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (* (* x (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 (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))))) (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) x) (sqrt (- 1.0 (* y y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* x (* (sqrt (sqrt (+ 1.0 (* y y)))) (fabs (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (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) (- (+ (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) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 1.663 * * * [progress]: adding candidates to table 1.911 * [progress]: [Phase 3 of 3] Extracting. 1.911 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.912 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.912 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 1.936 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # # # #) 1.960 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # # # #) 1.985 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 2.011 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 2.039 * * * [regime]: Found split indices: #