44.511 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 1.0 in y 0.032 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 1.0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 1.0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.055 * [taylor]: Taking taylor expansion of -1 in y 0.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 1.0 in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.056 * [taylor]: Taking taylor expansion of -1 in x 0.056 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.056 * [taylor]: Taking taylor expansion of -1 in x 0.056 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.057 * [taylor]: Taking taylor expansion of -1 in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [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 ) 0.092 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.106 * * [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 0.197 * * [progress]: iteration 2 / 4 0.197 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.205 * * * [progress]: localizing error 0.212 * * * [progress]: generating rewritten candidates 0.212 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.214 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.226 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.233 * * * [progress]: generating series expansions 0.233 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.234 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.234 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of 1.0 in y 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.235 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 1.0 in y 0.248 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of 1.0 in y 0.261 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 1.0 in y 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 0.264 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.274 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.274 * [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 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.275 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 1.0 in y 0.290 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 1.0 in y 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 1.0 in y 0.303 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [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 0.306 * [taylor]: Taking taylor expansion of 1.0 in y 0.316 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.317 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.317 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of 1.0 in y 0.317 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of 1.0 in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) 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 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.340 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.340 * [taylor]: Taking taylor expansion of -1 in y 0.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [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 0.341 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.341 * [taylor]: Taking taylor expansion of -1 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 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.341 * [taylor]: Taking taylor expansion of -1 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 (+ (/ 1 (pow y 2)) 1.0)) in y 0.341 * [taylor]: Taking taylor expansion of -1 in y 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 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 1.0 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.371 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.371 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.371 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.371 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 1.0 in y 0.372 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.372 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.373 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.374 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 1.0 in y 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 1.0 in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of 1.0 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.400 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.400 * [taylor]: Taking taylor expansion of -1 in y 0.400 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 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 0.401 * [taylor]: Taking taylor expansion of 1.0 in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.403 * [taylor]: Taking taylor expansion of -1 in x 0.403 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.404 * [taylor]: Taking taylor expansion of -1 in x 0.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.405 * [taylor]: Taking taylor expansion of -1 in y 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of 1.0 in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.427 * * * [progress]: simplifying candidates 0.428 * [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))) 0.434 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.440 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.464 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.467 * [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))) 0.467 * * * [progress]: adding candidates to table 0.658 * * [progress]: iteration 3 / 4 0.658 * * * [progress]: picking best candidate 0.664 * * * * [pick]: Picked # 0.664 * * * [progress]: localizing error 0.673 * * * [progress]: generating rewritten candidates 0.673 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.679 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.681 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.684 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.696 * * * [progress]: generating series expansions 0.696 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.696 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.697 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of 1.0 in y 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.698 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of 1.0 in y 0.711 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of 1.0 in y 0.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of 1.0 in y 0.724 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of 1.0 in y 0.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of 1.0 in y 0.737 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.737 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.737 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.737 * [taylor]: Taking taylor expansion of 1.0 in y 0.739 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.739 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of 1.0 in y 0.751 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.752 * [taylor]: Taking taylor expansion of y in y 0.752 * [taylor]: Taking taylor expansion of 1.0 in y 0.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.754 * [taylor]: Taking taylor expansion of 1.0 in y 0.770 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.770 * [taylor]: Taking taylor expansion of 1.0 in y 0.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.773 * [taylor]: Taking taylor expansion of 1.0 in y 0.783 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.783 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.783 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.783 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of 1.0 in y 0.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.785 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of 1.0 in y 0.797 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of 1.0 in y 0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of 1.0 in y 0.810 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.811 * [taylor]: Taking taylor expansion of 1.0 in y 0.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of 1.0 in y 0.824 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.824 * [approximate]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 3) 1/4)) in (x y) around 0 0.824 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 3) 1/4)) in y 0.824 * [taylor]: Taking taylor expansion of x in y 0.824 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 3) 1/4) in y 0.824 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (pow y 2) 1.0) 3)))) in y 0.824 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (pow y 2) 1.0) 3))) in y 0.824 * [taylor]: Taking taylor expansion of 1/4 in y 0.824 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 3)) in y 0.824 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 3) in y 0.824 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of 1.0 in y 0.826 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 3) 1/4)) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 3) 1/4) in x 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (pow y 2) 1.0) 3)))) in x 0.827 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (pow y 2) 1.0) 3))) in x 0.827 * [taylor]: Taking taylor expansion of 1/4 in x 0.827 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 3)) in x 0.827 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 3) in x 0.827 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of 1.0 in x 0.827 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 3) 1/4)) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 3) 1/4) in x 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (pow y 2) 1.0) 3)))) in x 0.827 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (pow y 2) 1.0) 3))) in x 0.827 * [taylor]: Taking taylor expansion of 1/4 in x 0.827 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 3)) in x 0.828 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 3) in x 0.828 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.828 * [taylor]: Taking taylor expansion of y in x 0.828 * [taylor]: Taking taylor expansion of 1.0 in x 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.831 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 3) 1/4) in y 0.831 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (pow y 2) 1.0) 3)))) in y 0.831 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (pow y 2) 1.0) 3))) in y 0.831 * [taylor]: Taking taylor expansion of 1/4 in y 0.831 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 3)) in y 0.831 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 3) in y 0.831 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of 1.0 in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [approximate]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in (x y) around 0 0.854 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in y 0.854 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in y 0.854 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in y 0.854 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in y 0.854 * [taylor]: Taking taylor expansion of 1/4 in y 0.854 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in y 0.854 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in y 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of 1.0 in y 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.856 * [taylor]: Taking taylor expansion of x in y 0.856 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in x 0.856 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in x 0.856 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in x 0.856 * [taylor]: Taking taylor expansion of 1/4 in x 0.856 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in x 0.856 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in x 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in x 0.858 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in x 0.858 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in x 0.858 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in x 0.858 * [taylor]: Taking taylor expansion of 1/4 in x 0.858 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in x 0.858 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in x 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.858 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in y 0.859 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in y 0.859 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in y 0.859 * [taylor]: Taking taylor expansion of 1/4 in y 0.859 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in y 0.859 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in y 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of 1.0 in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.873 * [taylor]: Taking taylor expansion of 0 in y 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [approximate]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x))) in (x y) around 0 0.911 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x))) in y 0.911 * [taylor]: Taking taylor expansion of -1 in y 0.911 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in y 0.911 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in y 0.911 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in y 0.911 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in y 0.911 * [taylor]: Taking taylor expansion of 1/4 in y 0.911 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in y 0.911 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in y 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of 1.0 in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of -1 in x 0.913 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in x 0.913 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in x 0.913 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in x 0.913 * [taylor]: Taking taylor expansion of 1/4 in x 0.913 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in x 0.913 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in x 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x))) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.915 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in x 0.915 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in x 0.915 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in x 0.915 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in x 0.915 * [taylor]: Taking taylor expansion of 1/4 in x 0.915 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in x 0.915 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in x 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4)) in y 0.916 * [taylor]: Taking taylor expansion of -1 in y 0.916 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in y 0.916 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in y 0.916 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in y 0.917 * [taylor]: Taking taylor expansion of 1/4 in y 0.917 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in y 0.917 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in y 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of 1.0 in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [taylor]: Taking taylor expansion of 0 in y 0.959 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [taylor]: Taking taylor expansion of 0 in y 0.979 * * * [progress]: simplifying candidates 0.980 * [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))))) (* (* x (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 (* x (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)))))) (exp (* (* x (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)))))) (* (* (* (* 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)))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* 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)))))) (* (* x (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 (* (* x (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 (+ (* 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 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 (+ (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 1.0) (* (* y y) (* y y)))))) (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (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 (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (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 (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt 1))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (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))))) (* (* x (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 (+ 1.0 (* y y))))) (* (* x (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 (pow 1.0 1/4)) (+ (* 0.75 (* x (sqrt (/ 1 y)))) (* x (sqrt (pow y 3)))) (+ (* x (sqrt (* -1 (pow y 3)))) (* 0.75 (/ (* x (sqrt (* -1 (pow y 3)))) (pow y 2)))) 0.986 * * [simplify]: iteration 0 : 326 enodes (cost 750 ) 0.992 * * [simplify]: iteration 1 : 1334 enodes (cost 711 ) 1.018 * * [simplify]: iteration 2 : 5002 enodes (cost 684 ) 1.022 * [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)))) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (exp (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) x) (pow (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) 3) (pow (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (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 (+ (* 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 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 (+ (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 1.0) (* (* y y) (* y y)))))) (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (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))) (fabs (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (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 (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (* (* x (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 1.0) (* (* y y) (* y y)))))) (* (* x (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 (* 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 (pow 1.0 1/4)) (* x (+ (sqrt (pow y 3)) (* (sqrt (/ 1 y)) 0.75))) (+ (* x (sqrt (* -1 (pow y 3)))) (* 0.75 (/ (* x (sqrt (* -1 (pow y 3)))) (pow y 2)))) 1.022 * * * [progress]: adding candidates to table 1.285 * * [progress]: iteration 4 / 4 1.285 * * * [progress]: picking best candidate 1.290 * * * * [pick]: Picked # 1.290 * * * [progress]: localizing error 1.300 * * * [progress]: generating rewritten candidates 1.300 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.303 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 1.305 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.307 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.319 * * * [progress]: generating series expansions 1.319 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.319 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 1.319 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.319 * [taylor]: Taking taylor expansion of 1/3 in y 1.319 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.319 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.319 * [taylor]: Taking taylor expansion of 1.0 in y 1.321 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.321 * [taylor]: Taking taylor expansion of 1/3 in y 1.321 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.322 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.322 * [taylor]: Taking taylor expansion of y in y 1.322 * [taylor]: Taking taylor expansion of 1.0 in y 1.383 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.383 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.383 * [taylor]: Taking taylor expansion of 1/3 in y 1.383 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.383 * [taylor]: Taking taylor expansion of y in y 1.383 * [taylor]: Taking taylor expansion of 1.0 in y 1.384 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.384 * [taylor]: Taking taylor expansion of 1/3 in y 1.384 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.384 * [taylor]: Taking taylor expansion of y in y 1.385 * [taylor]: Taking taylor expansion of 1.0 in y 1.437 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.437 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.437 * [taylor]: Taking taylor expansion of 1/3 in y 1.437 * [taylor]: Taking taylor expansion of (log (+ (/ 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 1.438 * [taylor]: Taking taylor expansion of 1.0 in y 1.438 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.439 * [taylor]: Taking taylor expansion of 1/3 in y 1.439 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.439 * [taylor]: Taking taylor expansion of y in y 1.439 * [taylor]: Taking taylor expansion of 1.0 in y 1.489 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 1.489 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 1.489 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.490 * [taylor]: Taking taylor expansion of 1/3 in y 1.490 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.490 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.490 * [taylor]: Taking taylor expansion of y in y 1.490 * [taylor]: Taking taylor expansion of 1.0 in y 1.492 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.492 * [taylor]: Taking taylor expansion of 1/3 in y 1.492 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.492 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.492 * [taylor]: Taking taylor expansion of y in y 1.492 * [taylor]: Taking taylor expansion of 1.0 in y 1.560 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.560 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.560 * [taylor]: Taking taylor expansion of 1/3 in y 1.560 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.560 * [taylor]: Taking taylor expansion of y in y 1.560 * [taylor]: Taking taylor expansion of 1.0 in y 1.561 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.561 * [taylor]: Taking taylor expansion of 1/3 in y 1.561 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.562 * [taylor]: Taking taylor expansion of 1.0 in y 1.607 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.607 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.607 * [taylor]: Taking taylor expansion of 1/3 in y 1.608 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.608 * [taylor]: Taking taylor expansion of y in y 1.608 * [taylor]: Taking taylor expansion of 1.0 in y 1.609 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.609 * [taylor]: Taking taylor expansion of 1/3 in y 1.609 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.609 * [taylor]: Taking taylor expansion of y in y 1.610 * [taylor]: Taking taylor expansion of 1.0 in y 1.660 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.660 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.660 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.660 * [taylor]: Taking taylor expansion of y in y 1.660 * [taylor]: Taking taylor expansion of 1.0 in y 1.662 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.662 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.662 * [taylor]: Taking taylor expansion of y in y 1.662 * [taylor]: Taking taylor expansion of 1.0 in y 1.675 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.675 * [taylor]: Taking taylor expansion of 1.0 in y 1.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.678 * [taylor]: Taking taylor expansion of 1.0 in y 1.688 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.688 * [taylor]: Taking taylor expansion of y in y 1.689 * [taylor]: Taking taylor expansion of 1.0 in y 1.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.691 * [taylor]: Taking taylor expansion of y in y 1.691 * [taylor]: Taking taylor expansion of 1.0 in y 1.701 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.702 * [approximate]: Taking taylor expansion of (* (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 1.702 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) (sqrt (+ (pow y 2) 1.0))) in y 1.702 * [taylor]: Taking taylor expansion of (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) in y 1.702 * [taylor]: Taking taylor expansion of x in y 1.702 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in y 1.702 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.702 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.702 * [taylor]: Taking taylor expansion of y in y 1.702 * [taylor]: Taking taylor expansion of 1.0 in y 1.703 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) (sqrt (+ (pow y 2) 1.0))) in x 1.704 * [taylor]: Taking taylor expansion of (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in x 1.704 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.704 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.704 * [taylor]: Taking taylor expansion of y in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) (sqrt (+ (pow y 2) 1.0))) in x 1.704 * [taylor]: Taking taylor expansion of (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in x 1.705 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.705 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.705 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.705 * [taylor]: Taking taylor expansion of y in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of 0 in y 1.706 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) 1.0)) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in y 1.706 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.706 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.706 * [taylor]: Taking taylor expansion of y in y 1.706 * [taylor]: Taking taylor expansion of 1.0 in y 1.708 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in y 1.716 * [taylor]: Taking taylor expansion of 0 in y 1.720 * [taylor]: Taking taylor expansion of 0 in y 1.721 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in (x y) around 0 1.721 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in y 1.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.721 * [taylor]: Taking taylor expansion of y in y 1.721 * [taylor]: Taking taylor expansion of 1.0 in y 1.723 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in y 1.723 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 1.723 * [taylor]: Taking taylor expansion of x in y 1.724 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in x 1.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.724 * [taylor]: Taking taylor expansion of y in x 1.724 * [taylor]: Taking taylor expansion of 1.0 in x 1.724 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in x 1.724 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in x 1.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.725 * [taylor]: Taking taylor expansion of y in x 1.725 * [taylor]: Taking taylor expansion of 1.0 in x 1.726 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in x 1.726 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 1.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.726 * [taylor]: Taking taylor expansion of y in y 1.727 * [taylor]: Taking taylor expansion of 1.0 in y 1.729 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 1.730 * [taylor]: Taking taylor expansion of 0 in y 1.733 * [taylor]: Taking taylor expansion of 0 in y 1.740 * [taylor]: Taking taylor expansion of 0 in y 1.748 * [taylor]: Taking taylor expansion of 0 in y 1.749 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x))) in (x y) around 0 1.749 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x))) in y 1.749 * [taylor]: Taking taylor expansion of -1 in y 1.749 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in y 1.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.749 * [taylor]: Taking taylor expansion of y in y 1.750 * [taylor]: Taking taylor expansion of 1.0 in y 1.752 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in y 1.752 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 1.752 * [taylor]: Taking taylor expansion of x in y 1.752 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x))) in x 1.752 * [taylor]: Taking taylor expansion of -1 in x 1.752 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in x 1.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.752 * [taylor]: Taking taylor expansion of y in x 1.752 * [taylor]: Taking taylor expansion of 1.0 in x 1.753 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in x 1.753 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.754 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x))) in x 1.754 * [taylor]: Taking taylor expansion of -1 in x 1.754 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in x 1.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.754 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.754 * [taylor]: Taking taylor expansion of y in x 1.754 * [taylor]: Taking taylor expansion of 1.0 in x 1.755 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in x 1.755 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in x 1.755 * [taylor]: Taking taylor expansion of x in x 1.756 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)))) in y 1.756 * [taylor]: Taking taylor expansion of -1 in y 1.756 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 1.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.756 * [taylor]: Taking taylor expansion of y in y 1.756 * [taylor]: Taking taylor expansion of 1.0 in y 1.758 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 1.761 * [taylor]: Taking taylor expansion of 0 in y 1.765 * [taylor]: Taking taylor expansion of 0 in y 1.774 * [taylor]: Taking taylor expansion of 0 in y 1.783 * [taylor]: Taking taylor expansion of 0 in y 1.784 * * * [progress]: simplifying candidates 1.785 * [simplify]: Simplifying using # : (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (+ (log x) (+ (log (sqrt (+ 1.0 (* y y)))) (log (fabs (cbrt (+ 1.0 (* y y))))))) (+ (log x) (log (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (log (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (exp (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* (* (* x x) x) (* (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* (fabs (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))) (fabs (cbrt (+ 1.0 (* y y))))))) (* (* (* x x) x) (* (* (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))))) (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* (* (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (sqrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (sqrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt x) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (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) (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (+ (* x (* y (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.5 (/ (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) y))) (- (+ (* x (* y (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.5 (/ (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) y)))) 1.791 * * [simplify]: iteration 0 : 363 enodes (cost 635 ) 1.797 * * [simplify]: iteration 1 : 1292 enodes (cost 575 ) 1.822 * * [simplify]: iteration 2 : 5001 enodes (cost 567 ) 1.825 * [simplify]: Simplified to: (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (pow (+ (pow y 2) 1.0) 1/3) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (pow (+ (pow y 2) 1.0) 1/3) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (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))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (log (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (log (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (log (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (exp (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (pow (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) 3) (pow (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) 3) (* (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))))) (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (pow (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) 3) (sqrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (sqrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt x) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (+ (* (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow y 4)) (* 0.3333333333333333 (pow y 2)))) (- (pow 1.0 1/3) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (+ (* (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow y 4)) (* 0.3333333333333333 (pow y 2)))) (- (pow 1.0 1/3) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* x (* (sqrt 1.0) (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (+ (* x (* y (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.5 (/ (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) y))) (- (+ (* x (* y (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.5 (/ (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) y)))) 1.826 * * * [progress]: adding candidates to table 2.080 * [progress]: [Phase 3 of 3] Extracting. 2.080 * * [regime]: Finding splitpoints for: (# # # # # #) 2.081 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 2.081 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.098 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 2.118 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # #) 2.137 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.159 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.178 * * * [regime]: Found split indices: #