10.042 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.019 * * [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 ) 0.023 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [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 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) 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 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.059 * [taylor]: Taking taylor expansion of -1 in y 0.059 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [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 0.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 1.0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * * * [progress]: simplifying candidates 0.087 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.090 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.093 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.107 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.163 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.164 * [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))) 0.164 * * * [progress]: adding candidates to table 0.202 * * [progress]: iteration 2 / 4 0.202 * * * [progress]: picking best candidate 0.212 * * * * [pick]: Picked # 0.212 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.225 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.237 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.245 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.245 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of 1.0 in y 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.246 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 1.0 in y 0.260 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of 1.0 in y 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 1.0 in y 0.273 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 1.0 in y 0.287 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.287 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.287 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 1.0 in y 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.288 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of 1.0 in y 0.301 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of 1.0 in y 0.303 * [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 0.318 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 1.0 in y 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 0.321 * [taylor]: Taking taylor expansion of 1.0 in y 0.332 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.332 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.332 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 1.0 in y 0.332 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 1.0 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 1.0 in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of x in x 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 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.356 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.356 * [taylor]: Taking taylor expansion of -1 in y 0.356 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of 1.0 in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.357 * [taylor]: Taking taylor expansion of -1 in x 0.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.358 * [taylor]: Taking taylor expansion of -1 in x 0.358 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.358 * [taylor]: Taking taylor expansion of -1 in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 1.0 in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.383 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.383 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.383 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 1.0 in y 0.384 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.384 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.385 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of 0 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 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.392 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [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 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 1.0 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.416 * [taylor]: Taking taylor expansion of -1 in y 0.416 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of 1.0 in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.418 * [taylor]: Taking taylor expansion of -1 in x 0.418 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.420 * [taylor]: Taking taylor expansion of -1 in x 0.420 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.421 * [taylor]: Taking taylor expansion of -1 in y 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of 1.0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.443 * * * [progress]: simplifying candidates 0.444 * [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))) 0.449 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.455 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.479 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.482 * [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))) 0.482 * * * [progress]: adding candidates to table 0.675 * * [progress]: iteration 3 / 4 0.675 * * * [progress]: picking best candidate 0.683 * * * * [pick]: Picked # 0.684 * * * [progress]: localizing error 0.690 * * * [progress]: generating rewritten candidates 0.690 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.695 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.699 * * * [progress]: generating series expansions 0.699 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.699 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.699 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of 0 in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.703 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.703 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.703 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.703 * [taylor]: Taking taylor expansion of x in y 0.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.704 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.704 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.719 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.719 * [taylor]: Taking taylor expansion of -1 in y 0.719 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.719 * [taylor]: Taking taylor expansion of -1 in x 0.719 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.719 * [taylor]: Taking taylor expansion of -1 in x 0.720 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.720 * [taylor]: Taking taylor expansion of y in x 0.720 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.720 * [taylor]: Taking taylor expansion of -1 in y 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.727 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.731 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.731 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.731 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.731 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.731 * [taylor]: Taking taylor expansion of 1.0 in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.731 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.731 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of 1.0 in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.738 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.738 * [taylor]: Taking taylor expansion of 1.0 in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.738 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.739 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of 1.0 in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.747 * [taylor]: Taking taylor expansion of 0 in y 0.751 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.762 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.762 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.763 * [taylor]: Taking taylor expansion of 1.0 in y 0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.763 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.763 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.764 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.765 * [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 0 in y 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [taylor]: Taking taylor expansion of 0 in y 0.783 * [taylor]: Taking taylor expansion of 0 in y 0.789 * [taylor]: Taking taylor expansion of 0 in y 0.790 * * * [progress]: simplifying candidates 0.790 * [simplify]: Simplifying using # : (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* (exp (* x 1.0)) (exp (* x (* y y)))) (log (+ (* x 1.0) (* x (* y y)))) (exp (+ (* x 1.0) (* x (* y y)))) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (* (* (+ (* x 1.0) (* x (* y y))) (+ (* x 1.0) (* x (* y y)))) (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (+ (pow (* x 1.0) 3) (pow (* x (* y y)) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (* y y)) (* x (* y y))) (* (* x 1.0) (* x (* y y))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (* y y)) (* x (* y y)))) (- (* x 1.0) (* x (* y y))) (+ 1.0 (* y y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.793 * * [simplify]: iteration 0 : 167 enodes (cost 162 ) 0.797 * * [simplify]: iteration 1 : 633 enodes (cost 137 ) 0.810 * * [simplify]: iteration 2 : 2466 enodes (cost 134 ) 0.864 * * [simplify]: iteration 3 : 5001 enodes (cost 134 ) 0.865 * [simplify]: Simplified to: (* x (* y y)) (* x (* y y)) (log (* x (* y y))) (log (* x (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (pow (* x (* y y)) 3) (pow (* x (* y y)) 3) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (pow (* x (* y y)) 3) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (pow (exp x) (+ 1.0 (* y y))) (log (+ (* x 1.0) (* x (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (* x (+ (* 1.0 (* x 1.0)) (* (pow y 2) (* x (- (pow y 2) 1.0))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (+ 1.0 (* y y)) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.865 * * * [progress]: adding candidates to table 0.922 * * [progress]: iteration 4 / 4 0.922 * * * [progress]: picking best candidate 0.928 * * * * [pick]: Picked # 0.928 * * * [progress]: localizing error 0.934 * * * [progress]: generating rewritten candidates 0.934 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.939 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.943 * * * [progress]: generating series expansions 0.943 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.943 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.943 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.947 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.947 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.947 * [taylor]: Taking taylor expansion of x in y 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.947 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.948 * [taylor]: Taking taylor expansion of y in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.948 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.948 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.959 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.959 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.959 * [taylor]: Taking taylor expansion of -1 in y 0.959 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.959 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.959 * [taylor]: Taking taylor expansion of -1 in x 0.959 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.960 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.960 * [taylor]: Taking taylor expansion of -1 in x 0.960 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.960 * [taylor]: Taking taylor expansion of y in x 0.960 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.960 * [taylor]: Taking taylor expansion of -1 in y 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.971 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.971 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.971 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.971 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.971 * [taylor]: Taking taylor expansion of 1.0 in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.971 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.971 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of 0 in y 0.973 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of 1.0 in y 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.977 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.978 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.978 * [taylor]: Taking taylor expansion of x in y 0.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.978 * [taylor]: Taking taylor expansion of y in y 0.978 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.978 * [taylor]: Taking taylor expansion of 1.0 in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.978 * [taylor]: Taking taylor expansion of x in y 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.978 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.978 * [taylor]: Taking taylor expansion of y in x 0.979 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.979 * [taylor]: Taking taylor expansion of 1.0 in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.979 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.979 * [taylor]: Taking taylor expansion of y in x 0.980 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of 1.0 in y 0.983 * [taylor]: Taking taylor expansion of 0 in y 0.987 * [taylor]: Taking taylor expansion of 0 in y 0.991 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.005 * [taylor]: Taking taylor expansion of 0 in y 1.006 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 1.006 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 1.006 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.006 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of x in y 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.006 * [taylor]: Taking taylor expansion of 1.0 in y 1.006 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.006 * [taylor]: Taking taylor expansion of x in y 1.006 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.006 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.006 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.007 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.009 * [taylor]: Taking taylor expansion of 1.0 in y 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.016 * [taylor]: Taking taylor expansion of 0 in y 1.021 * [taylor]: Taking taylor expansion of 0 in y 1.026 * [taylor]: Taking taylor expansion of 0 in y 1.032 * [taylor]: Taking taylor expansion of 0 in y 1.033 * * * [progress]: simplifying candidates 1.033 * [simplify]: Simplifying using # : (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (exp (* x 1.0)) (exp (* (* x y) y))) (log (+ (* x 1.0) (* (* x y) y))) (exp (+ (* x 1.0) (* (* x y) y))) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (* (* (+ (* x 1.0) (* (* x y) y)) (+ (* x 1.0) (* (* x y) y))) (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (+ (pow (* x 1.0) 3) (pow (* (* x y) y) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* (* x y) y) (* (* x y) y)) (* (* x 1.0) (* (* x y) y)))) (- (* (* x 1.0) (* x 1.0)) (* (* (* x y) y) (* (* x y) y))) (- (* x 1.0) (* (* x y) y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 1.036 * * [simplify]: iteration 0 : 174 enodes (cost 161 ) 1.041 * * [simplify]: iteration 1 : 815 enodes (cost 137 ) 1.062 * * [simplify]: iteration 2 : 4140 enodes (cost 129 ) 1.159 * * [simplify]: iteration 3 : 5001 enodes (cost 128 ) 1.159 * [simplify]: Simplified to: (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) x) (* x y) (pow y 2) (pow (exp x) (+ (pow y 2) 1.0)) (log (+ (* x 1.0) (* (* x y) y))) (pow (exp x) (+ (pow y 2) 1.0)) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (pow (* x (+ (pow y 2) 1.0)) 3) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (* x (+ (* 1.0 (* x 1.0)) (* (pow y 2) (* x (- (pow y 2) 1.0))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* x 1.0) (* x (+ (pow y 2) 1.0)) (* x (+ (pow y 2) 1.0)) 1.160 * * * [progress]: adding candidates to table 1.216 * [progress]: [Phase 3 of 3] Extracting. 1.216 * * [regime]: Finding splitpoints for: (# # # # #) 1.217 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (+ 1.0 (* y y)) y x) 1.217 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.236 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.248 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # #) 1.265 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# #) 1.276 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.296 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.314 * * * [regime]: Found split indices: #