10.704 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.033 * [taylor]: Taking taylor expansion of x 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 0.033 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 1.0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 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 0.038 * [taylor]: Taking taylor expansion of x in y 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 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.056 * [taylor]: Taking taylor expansion of -1 in y 0.056 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.057 * [taylor]: Taking taylor expansion of -1 in x 0.057 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [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 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * * * [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)) 0.090 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.094 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.107 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.164 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.165 * [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))) 0.165 * * * [progress]: adding candidates to table 0.196 * * [progress]: iteration 2 / 4 0.196 * * * [progress]: picking best candidate 0.203 * * * * [pick]: Picked # 0.203 * * * [progress]: localizing error 0.209 * * * [progress]: generating rewritten candidates 0.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.227 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.235 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.235 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 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 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.236 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of 1.0 in y 0.249 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of 1.0 in y 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of 1.0 in y 0.262 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 1.0 in y 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of 1.0 in y 0.275 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.275 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 1.0 in y 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.277 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1.0 in y 0.289 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 1.0 in y 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 1.0 in y 0.306 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 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 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 1.0 in y 0.319 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.319 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 1.0 in y 0.319 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of 1.0 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 1.0 in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.342 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.342 * [taylor]: Taking taylor expansion of -1 in y 0.342 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of 1.0 in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.343 * [taylor]: Taking taylor expansion of -1 in x 0.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.343 * [taylor]: Taking taylor expansion of -1 in x 0.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.344 * [taylor]: Taking taylor expansion of -1 in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 1.0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.368 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.368 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.368 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 1.0 in y 0.370 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.370 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.370 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of 0 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 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of 1.0 in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [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 0.388 * [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 0.402 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.402 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.402 * [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 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.403 * [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 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * * * [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))) 0.433 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.439 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.463 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.466 * [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 0.612 * * [progress]: iteration 3 / 4 0.612 * * * [progress]: picking best candidate 0.617 * * * * [pick]: Picked # 0.617 * * * [progress]: localizing error 0.625 * * * [progress]: generating rewritten candidates 0.625 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.627 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.629 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.632 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.643 * * * [progress]: generating series expansions 0.643 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.643 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.643 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.644 * [taylor]: Taking taylor expansion of 1/3 in y 0.644 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.644 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of 1.0 in y 0.646 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.646 * [taylor]: Taking taylor expansion of 1/3 in y 0.646 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.646 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of 1.0 in y 0.710 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.710 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.710 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.710 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.710 * [taylor]: Taking taylor expansion of 1/3 in y 0.710 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of 1.0 in y 0.711 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.711 * [taylor]: Taking taylor expansion of 1/3 in y 0.711 * [taylor]: Taking taylor expansion of (log (+ (/ 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 0.712 * [taylor]: Taking taylor expansion of 1.0 in y 0.755 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.755 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.755 * [taylor]: Taking taylor expansion of 1/3 in y 0.755 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.755 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of 1.0 in y 0.757 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.757 * [taylor]: Taking taylor expansion of 1/3 in y 0.757 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.757 * [taylor]: Taking taylor expansion of 1.0 in y 0.806 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.806 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.806 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.806 * [taylor]: Taking taylor expansion of 1/3 in y 0.806 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.806 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of 1.0 in y 0.808 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.808 * [taylor]: Taking taylor expansion of 1/3 in y 0.808 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.808 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of 1.0 in y 0.872 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.872 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.872 * [taylor]: Taking taylor expansion of 1/3 in y 0.872 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of 1.0 in y 0.873 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.874 * [taylor]: Taking taylor expansion of 1/3 in y 0.874 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of 1.0 in y 0.923 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.923 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.923 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.923 * [taylor]: Taking taylor expansion of 1/3 in y 0.923 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of 1.0 in y 0.924 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.924 * [taylor]: Taking taylor expansion of 1/3 in y 0.924 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of 1.0 in y 0.968 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.968 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.968 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.968 * [taylor]: Taking taylor expansion of 1/3 in y 0.968 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.968 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of 1.0 in y 0.970 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.970 * [taylor]: Taking taylor expansion of 1/3 in y 0.970 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.970 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.970 * [taylor]: Taking taylor expansion of 1.0 in y 1.034 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.034 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.034 * [taylor]: Taking taylor expansion of 1/3 in y 1.034 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of 1.0 in y 1.035 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.036 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.036 * [taylor]: Taking taylor expansion of 1/3 in y 1.036 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of 1.0 in y 1.085 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.085 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.085 * [taylor]: Taking taylor expansion of 1/3 in y 1.085 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.086 * [taylor]: Taking taylor expansion of 1.0 in y 1.086 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.086 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.086 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.086 * [taylor]: Taking taylor expansion of 1/3 in y 1.086 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.087 * [taylor]: Taking taylor expansion of y in y 1.087 * [taylor]: Taking taylor expansion of 1.0 in y 1.130 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.130 * [approximate]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in (x y) around 0 1.130 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in y 1.130 * [taylor]: Taking taylor expansion of x in y 1.130 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in y 1.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in y 1.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in y 1.130 * [taylor]: Taking taylor expansion of 1/3 in y 1.130 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in y 1.130 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in y 1.130 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.131 * [taylor]: Taking taylor expansion of 1.0 in y 1.133 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in x 1.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in x 1.133 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in x 1.133 * [taylor]: Taking taylor expansion of 1/3 in x 1.133 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in x 1.133 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in x 1.133 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in x 1.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in x 1.134 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in x 1.134 * [taylor]: Taking taylor expansion of 1/3 in x 1.134 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in x 1.134 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of 0 in y 1.137 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in y 1.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in y 1.137 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in y 1.137 * [taylor]: Taking taylor expansion of 1/3 in y 1.137 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in y 1.137 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in y 1.137 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of 1.0 in y 1.150 * [taylor]: Taking taylor expansion of 0 in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.159 * [approximate]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in (x y) around 0 1.159 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in y 1.159 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 1.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 1.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 1.159 * [taylor]: Taking taylor expansion of 1/3 in y 1.159 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 1.159 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 1.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.159 * [taylor]: Taking taylor expansion of y in y 1.159 * [taylor]: Taking taylor expansion of 1.0 in y 1.160 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.160 * [taylor]: Taking taylor expansion of x in y 1.160 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 1.160 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 1.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 1.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 1.160 * [taylor]: Taking taylor expansion of 1/3 in x 1.160 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 1.160 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.162 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 1.162 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 1.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 1.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 1.162 * [taylor]: Taking taylor expansion of 1/3 in x 1.162 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 1.162 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.162 * [taylor]: Taking taylor expansion of y in x 1.162 * [taylor]: Taking taylor expansion of 1.0 in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.162 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 1.163 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 1.163 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 1.163 * [taylor]: Taking taylor expansion of 1/3 in y 1.163 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 1.163 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 1.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.164 * [taylor]: Taking taylor expansion of 1.0 in y 1.168 * [taylor]: Taking taylor expansion of 0 in y 1.175 * [taylor]: Taking taylor expansion of 0 in y 1.193 * [taylor]: Taking taylor expansion of 0 in y 1.211 * [taylor]: Taking taylor expansion of 0 in y 1.212 * [approximate]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in (x y) around 0 1.212 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in y 1.212 * [taylor]: Taking taylor expansion of -1 in y 1.212 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in y 1.212 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 1.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 1.212 * [taylor]: Taking taylor expansion of 1/3 in y 1.212 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 1.212 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.213 * [taylor]: Taking taylor expansion of 1.0 in y 1.215 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.215 * [taylor]: Taking taylor expansion of x in y 1.215 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in x 1.215 * [taylor]: Taking taylor expansion of -1 in x 1.215 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 1.215 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 1.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 1.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 1.215 * [taylor]: Taking taylor expansion of 1/3 in x 1.215 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 1.215 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.215 * [taylor]: Taking taylor expansion of y in x 1.215 * [taylor]: Taking taylor expansion of 1.0 in x 1.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in x 1.217 * [taylor]: Taking taylor expansion of -1 in x 1.217 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 1.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 1.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 1.217 * [taylor]: Taking taylor expansion of 1/3 in x 1.217 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 1.217 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.217 * [taylor]: Taking taylor expansion of y in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3)) in y 1.219 * [taylor]: Taking taylor expansion of -1 in y 1.219 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 1.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 1.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 1.220 * [taylor]: Taking taylor expansion of 1/3 in y 1.220 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.220 * [taylor]: Taking taylor expansion of y in y 1.220 * [taylor]: Taking taylor expansion of 1.0 in y 1.228 * [taylor]: Taking taylor expansion of 0 in y 1.248 * [taylor]: Taking taylor expansion of 0 in y 1.278 * [taylor]: Taking taylor expansion of 0 in y 1.306 * [taylor]: Taking taylor expansion of 0 in y 1.307 * * * [progress]: simplifying candidates 1.309 * [simplify]: Simplifying using # : (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (+ (log x) (+ (log (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))))) (+ (log x) (log (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (log (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (exp (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* (* x x) x) (* (+ 1.0 (* y y)) (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* x (cbrt (+ 1.0 (* y y)))) (* (cbrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (sqrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (* x (pow 1.0 1/3)) (+ (* 0.6666666666666666 (* x (pow (/ 1 (pow y 2)) 1/3))) (* x (pow (pow y 4) 1/3))) (+ (* 0.6666666666666666 (* x (pow (/ 1 (pow y 2)) 1/3))) (* x (pow (pow y 4) 1/3))) 1.318 * * [simplify]: iteration 0 : 299 enodes (cost 693 ) 1.325 * * [simplify]: iteration 1 : 951 enodes (cost 634 ) 1.349 * * [simplify]: iteration 2 : 3234 enodes (cost 616 ) 1.431 * * [simplify]: iteration 3 : 5002 enodes (cost 616 ) 1.434 * [simplify]: Simplified to: (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (exp (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (* (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* x (cbrt (+ 1.0 (* y y)))) (* (cbrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (sqrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (* x (pow 1.0 1/3)) (* x (+ (pow (pow y 4) 1/3) (* (pow (/ 1 (pow y 2)) 1/3) 0.6666666666666666))) (* x (+ (pow (pow y 4) 1/3) (* (pow (/ 1 (pow y 2)) 1/3) 0.6666666666666666))) 1.435 * * * [progress]: adding candidates to table 1.614 * * [progress]: iteration 4 / 4 1.614 * * * [progress]: picking best candidate 1.625 * * * * [pick]: Picked # 1.625 * * * [progress]: localizing error 1.639 * * * [progress]: generating rewritten candidates 1.639 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.648 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.657 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.666 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.675 * * * [progress]: generating series expansions 1.675 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.675 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 1.675 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 1.675 * [taylor]: Taking taylor expansion of x in y 1.675 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.675 * [taylor]: Taking taylor expansion of 1.0 in y 1.675 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.675 * [taylor]: Taking taylor expansion of 1.0 in x 1.675 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.675 * [taylor]: Taking taylor expansion of y in x 1.675 * [taylor]: Taking taylor expansion of 1.0 in x 1.676 * [taylor]: Taking taylor expansion of 0 in y 1.677 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.677 * [taylor]: Taking taylor expansion of y in y 1.677 * [taylor]: Taking taylor expansion of 1.0 in y 1.679 * [taylor]: Taking taylor expansion of 0 in y 1.682 * [taylor]: Taking taylor expansion of 0 in y 1.682 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 1.682 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.682 * [taylor]: Taking taylor expansion of y in y 1.683 * [taylor]: Taking taylor expansion of 1.0 in y 1.683 * [taylor]: Taking taylor expansion of x in y 1.683 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.684 * [taylor]: Taking taylor expansion of y in x 1.684 * [taylor]: Taking taylor expansion of 1.0 in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.684 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.684 * [taylor]: Taking taylor expansion of y in x 1.684 * [taylor]: Taking taylor expansion of 1.0 in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.685 * [taylor]: Taking taylor expansion of y in y 1.685 * [taylor]: Taking taylor expansion of 1.0 in y 1.687 * [taylor]: Taking taylor expansion of 0 in y 1.693 * [taylor]: Taking taylor expansion of 0 in y 1.697 * [taylor]: Taking taylor expansion of 0 in y 1.701 * [taylor]: Taking taylor expansion of 0 in y 1.706 * [taylor]: Taking taylor expansion of 0 in y 1.706 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 1.706 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 1.706 * [taylor]: Taking taylor expansion of -1 in y 1.706 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.706 * [taylor]: Taking taylor expansion of y in y 1.707 * [taylor]: Taking taylor expansion of 1.0 in y 1.707 * [taylor]: Taking taylor expansion of x in y 1.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.707 * [taylor]: Taking taylor expansion of -1 in x 1.707 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.707 * [taylor]: Taking taylor expansion of y in x 1.707 * [taylor]: Taking taylor expansion of 1.0 in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.707 * [taylor]: Taking taylor expansion of -1 in x 1.707 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.707 * [taylor]: Taking taylor expansion of y in x 1.708 * [taylor]: Taking taylor expansion of 1.0 in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 1.708 * [taylor]: Taking taylor expansion of -1 in y 1.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.708 * [taylor]: Taking taylor expansion of y in y 1.709 * [taylor]: Taking taylor expansion of 1.0 in y 1.710 * [taylor]: Taking taylor expansion of 0 in y 1.714 * [taylor]: Taking taylor expansion of 0 in y 1.720 * [taylor]: Taking taylor expansion of 0 in y 1.726 * [taylor]: Taking taylor expansion of 0 in y 1.732 * [taylor]: Taking taylor expansion of 0 in y 1.733 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.733 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 1.733 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 1.733 * [taylor]: Taking taylor expansion of x in y 1.733 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.733 * [taylor]: Taking taylor expansion of y in y 1.733 * [taylor]: Taking taylor expansion of 1.0 in y 1.733 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.733 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.733 * [taylor]: Taking taylor expansion of y in x 1.733 * [taylor]: Taking taylor expansion of 1.0 in x 1.733 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.733 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.733 * [taylor]: Taking taylor expansion of y in x 1.733 * [taylor]: Taking taylor expansion of 1.0 in x 1.734 * [taylor]: Taking taylor expansion of 0 in y 1.734 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.734 * [taylor]: Taking taylor expansion of y in y 1.734 * [taylor]: Taking taylor expansion of 1.0 in y 1.736 * [taylor]: Taking taylor expansion of 0 in y 1.737 * [taylor]: Taking taylor expansion of 0 in y 1.738 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 1.738 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.738 * [taylor]: Taking taylor expansion of y in y 1.738 * [taylor]: Taking taylor expansion of 1.0 in y 1.738 * [taylor]: Taking taylor expansion of x in y 1.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.739 * [taylor]: Taking taylor expansion of y in x 1.739 * [taylor]: Taking taylor expansion of 1.0 in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.739 * [taylor]: Taking taylor expansion of y in x 1.739 * [taylor]: Taking taylor expansion of 1.0 in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.739 * [taylor]: Taking taylor expansion of y in y 1.740 * [taylor]: Taking taylor expansion of 1.0 in y 1.741 * [taylor]: Taking taylor expansion of 0 in y 1.744 * [taylor]: Taking taylor expansion of 0 in y 1.747 * [taylor]: Taking taylor expansion of 0 in y 1.751 * [taylor]: Taking taylor expansion of 0 in y 1.756 * [taylor]: Taking taylor expansion of 0 in y 1.757 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 1.757 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 1.757 * [taylor]: Taking taylor expansion of -1 in y 1.757 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.757 * [taylor]: Taking taylor expansion of y in y 1.757 * [taylor]: Taking taylor expansion of 1.0 in y 1.757 * [taylor]: Taking taylor expansion of x in y 1.758 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.758 * [taylor]: Taking taylor expansion of -1 in x 1.758 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.758 * [taylor]: Taking taylor expansion of y in x 1.758 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.758 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.758 * [taylor]: Taking taylor expansion of -1 in x 1.758 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.758 * [taylor]: Taking taylor expansion of y in x 1.758 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.759 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 1.759 * [taylor]: Taking taylor expansion of -1 in y 1.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.759 * [taylor]: Taking taylor expansion of y in y 1.759 * [taylor]: Taking taylor expansion of 1.0 in y 1.761 * [taylor]: Taking taylor expansion of 0 in y 1.765 * [taylor]: Taking taylor expansion of 0 in y 1.770 * [taylor]: Taking taylor expansion of 0 in y 1.781 * [taylor]: Taking taylor expansion of 0 in y 1.788 * [taylor]: Taking taylor expansion of 0 in y 1.788 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.789 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 1.789 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 1.789 * [taylor]: Taking taylor expansion of x in y 1.789 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.789 * [taylor]: Taking taylor expansion of y in y 1.789 * [taylor]: Taking taylor expansion of 1.0 in y 1.789 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.789 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.789 * [taylor]: Taking taylor expansion of y in x 1.789 * [taylor]: Taking taylor expansion of 1.0 in x 1.789 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.789 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.789 * [taylor]: Taking taylor expansion of y in x 1.789 * [taylor]: Taking taylor expansion of 1.0 in x 1.789 * [taylor]: Taking taylor expansion of 0 in y 1.790 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.790 * [taylor]: Taking taylor expansion of y in y 1.790 * [taylor]: Taking taylor expansion of 1.0 in y 1.791 * [taylor]: Taking taylor expansion of 0 in y 1.793 * [taylor]: Taking taylor expansion of 0 in y 1.793 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 1.793 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.793 * [taylor]: Taking taylor expansion of y in y 1.794 * [taylor]: Taking taylor expansion of 1.0 in y 1.794 * [taylor]: Taking taylor expansion of x in y 1.794 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.794 * [taylor]: Taking taylor expansion of y in x 1.795 * [taylor]: Taking taylor expansion of 1.0 in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.795 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.795 * [taylor]: Taking taylor expansion of y in x 1.795 * [taylor]: Taking taylor expansion of 1.0 in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.795 * [taylor]: Taking taylor expansion of y in y 1.796 * [taylor]: Taking taylor expansion of 1.0 in y 1.797 * [taylor]: Taking taylor expansion of 0 in y 1.800 * [taylor]: Taking taylor expansion of 0 in y 1.803 * [taylor]: Taking taylor expansion of 0 in y 1.807 * [taylor]: Taking taylor expansion of 0 in y 1.812 * [taylor]: Taking taylor expansion of 0 in y 1.813 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 1.813 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 1.813 * [taylor]: Taking taylor expansion of -1 in y 1.813 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.813 * [taylor]: Taking taylor expansion of y in y 1.813 * [taylor]: Taking taylor expansion of 1.0 in y 1.813 * [taylor]: Taking taylor expansion of x in y 1.814 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.814 * [taylor]: Taking taylor expansion of -1 in x 1.814 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.814 * [taylor]: Taking taylor expansion of y in x 1.814 * [taylor]: Taking taylor expansion of 1.0 in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.814 * [taylor]: Taking taylor expansion of -1 in x 1.814 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.814 * [taylor]: Taking taylor expansion of y in x 1.814 * [taylor]: Taking taylor expansion of 1.0 in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.815 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 1.815 * [taylor]: Taking taylor expansion of -1 in y 1.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.815 * [taylor]: Taking taylor expansion of y in y 1.815 * [taylor]: Taking taylor expansion of 1.0 in y 1.817 * [taylor]: Taking taylor expansion of 0 in y 1.821 * [taylor]: Taking taylor expansion of 0 in y 1.827 * [taylor]: Taking taylor expansion of 0 in y 1.833 * [taylor]: Taking taylor expansion of 0 in y 1.840 * [taylor]: Taking taylor expansion of 0 in y 1.841 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.841 * [approximate]: Taking taylor expansion of (pow (* x (+ (pow y 2) 1.0)) 1/3) in (x y) around 0 1.841 * [taylor]: Taking taylor expansion of (pow (* x (+ (pow y 2) 1.0)) 1/3) in y 1.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (+ (pow y 2) 1.0))))) in y 1.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (+ (pow y 2) 1.0)))) in y 1.841 * [taylor]: Taking taylor expansion of 1/3 in y 1.841 * [taylor]: Taking taylor expansion of (log (* x (+ (pow y 2) 1.0))) in y 1.841 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 1.841 * [taylor]: Taking taylor expansion of x in y 1.841 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.841 * [taylor]: Taking taylor expansion of y in y 1.841 * [taylor]: Taking taylor expansion of 1.0 in y 1.842 * [taylor]: Taking taylor expansion of (pow (* x (+ (pow y 2) 1.0)) 1/3) in x 1.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (+ (pow y 2) 1.0))))) in x 1.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (+ (pow y 2) 1.0)))) in x 1.842 * [taylor]: Taking taylor expansion of 1/3 in x 1.842 * [taylor]: Taking taylor expansion of (log (* x (+ (pow y 2) 1.0))) in x 1.842 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.842 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.842 * [taylor]: Taking taylor expansion of y in x 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.844 * [taylor]: Taking taylor expansion of (pow (* x (+ (pow y 2) 1.0)) 1/3) in x 1.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* x (+ (pow y 2) 1.0))))) in x 1.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (* x (+ (pow y 2) 1.0)))) in x 1.844 * [taylor]: Taking taylor expansion of 1/3 in x 1.844 * [taylor]: Taking taylor expansion of (log (* x (+ (pow y 2) 1.0))) in x 1.844 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.844 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.844 * [taylor]: Taking taylor expansion of y in x 1.844 * [taylor]: Taking taylor expansion of 1.0 in x 1.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (+ (pow y 2) 1.0))))) in y 1.845 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (+ (pow y 2) 1.0)))) in y 1.845 * [taylor]: Taking taylor expansion of 1/3 in y 1.845 * [taylor]: Taking taylor expansion of (+ (log x) (log (+ (pow y 2) 1.0))) in y 1.845 * [taylor]: Taking taylor expansion of (log x) in y 1.845 * [taylor]: Taking taylor expansion of x in y 1.845 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.845 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.845 * [taylor]: Taking taylor expansion of y in y 1.846 * [taylor]: Taking taylor expansion of 1.0 in y 1.850 * [taylor]: Taking taylor expansion of 0 in y 1.858 * [taylor]: Taking taylor expansion of 0 in y 1.880 * [taylor]: Taking taylor expansion of 0 in y 1.896 * [taylor]: Taking taylor expansion of 0 in y 1.897 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in (x y) around 0 1.897 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in y 1.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in y 1.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in y 1.897 * [taylor]: Taking taylor expansion of 1/3 in y 1.897 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 1.897 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.897 * [taylor]: Taking taylor expansion of y in y 1.898 * [taylor]: Taking taylor expansion of 1.0 in y 1.898 * [taylor]: Taking taylor expansion of x in y 1.898 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in x 1.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in x 1.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in x 1.898 * [taylor]: Taking taylor expansion of 1/3 in x 1.898 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.898 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.899 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.899 * [taylor]: Taking taylor expansion of y in x 1.899 * [taylor]: Taking taylor expansion of 1.0 in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in x 1.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in x 1.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in x 1.900 * [taylor]: Taking taylor expansion of 1/3 in x 1.900 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.900 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.900 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.900 * [taylor]: Taking taylor expansion of y in x 1.900 * [taylor]: Taking taylor expansion of 1.0 in x 1.900 * [taylor]: Taking taylor expansion of x in x 1.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x)))) in y 1.901 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x))) in y 1.901 * [taylor]: Taking taylor expansion of 1/3 in y 1.901 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x)) in y 1.901 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.901 * [taylor]: Taking taylor expansion of y in y 1.901 * [taylor]: Taking taylor expansion of 1.0 in y 1.902 * [taylor]: Taking taylor expansion of (log x) in y 1.902 * [taylor]: Taking taylor expansion of x in y 1.906 * [taylor]: Taking taylor expansion of 0 in y 1.914 * [taylor]: Taking taylor expansion of 0 in y 1.932 * [taylor]: Taking taylor expansion of 0 in y 1.955 * [taylor]: Taking taylor expansion of 0 in y 1.956 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3)) in (x y) around 0 1.956 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3)) in y 1.956 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.956 * [taylor]: Taking taylor expansion of -1 in y 1.957 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in y 1.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in y 1.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in y 1.957 * [taylor]: Taking taylor expansion of 1/3 in y 1.957 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 1.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.957 * [taylor]: Taking taylor expansion of y in y 1.957 * [taylor]: Taking taylor expansion of 1.0 in y 1.957 * [taylor]: Taking taylor expansion of x in y 1.958 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3)) in x 1.958 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.958 * [taylor]: Taking taylor expansion of -1 in x 1.959 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in x 1.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in x 1.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in x 1.959 * [taylor]: Taking taylor expansion of 1/3 in x 1.959 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.959 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.959 * [taylor]: Taking taylor expansion of y in x 1.959 * [taylor]: Taking taylor expansion of 1.0 in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3)) in x 1.960 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.960 * [taylor]: Taking taylor expansion of -1 in x 1.961 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 (pow y 2)) 1.0) x) 1/3) in x 1.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x)))) in x 1.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (pow y 2)) 1.0) x))) in x 1.961 * [taylor]: Taking taylor expansion of 1/3 in x 1.961 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 1.961 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.961 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.961 * [taylor]: Taking taylor expansion of y in x 1.961 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.962 * [taylor]: Taking taylor expansion of (* (cbrt -1) (exp (* 1/3 (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x))))) in y 1.962 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.963 * [taylor]: Taking taylor expansion of -1 in y 1.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x)))) in y 1.963 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x))) in y 1.963 * [taylor]: Taking taylor expansion of 1/3 in y 1.963 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 (pow y 2)) 1.0)) (log x)) in y 1.963 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.963 * [taylor]: Taking taylor expansion of y in y 1.964 * [taylor]: Taking taylor expansion of 1.0 in y 1.964 * [taylor]: Taking taylor expansion of (log x) in y 1.964 * [taylor]: Taking taylor expansion of x in y 1.969 * [taylor]: Taking taylor expansion of 0 in y 1.979 * [taylor]: Taking taylor expansion of 0 in y 2.000 * [taylor]: Taking taylor expansion of 0 in y 2.019 * [taylor]: Taking taylor expansion of 0 in y 2.021 * * * [progress]: simplifying candidates 2.022 * [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)))) (* 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)))) (* 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)))) (log (cbrt (* x (+ 1.0 (* y y))))) (exp (cbrt (* x (+ 1.0 (* y y))))) (cbrt x) (cbrt (+ 1.0 (* y y))) (cbrt (* x (+ (pow 1.0 3) (pow (* y y) 3)))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (* x (+ 1.0 (* y y))))) (cbrt (cbrt (* x (+ 1.0 (* y y)))))) (cbrt (cbrt (* x (+ 1.0 (* y y))))) (* (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y))))) (sqrt (cbrt (* x (+ 1.0 (* y y))))) (sqrt (cbrt (* x (+ 1.0 (* y y))))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* 0.3333333333333333 (* (pow y 2) (exp (* 1/3 (+ (log x) (log 1.0)))))) (exp (* 1/3 (+ (log x) (log 1.0))))) (+ (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* 0.3333333333333333 (/ (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (pow y 2)))) (+ (* 0.3333333333333333 (/ (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (pow y 2))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1))) 2.026 * * [simplify]: iteration 0 : 261 enodes (cost 482 ) 2.031 * * [simplify]: iteration 1 : 1033 enodes (cost 426 ) 2.049 * * [simplify]: iteration 2 : 4303 enodes (cost 419 ) 2.124 * * [simplify]: iteration 3 : 5001 enodes (cost 419 ) 2.127 * [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 (* 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 (* 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)))) (log (cbrt (* x (+ 1.0 (* y y))))) (exp (cbrt (* x (+ 1.0 (* y y))))) (pow x 1/3) (cbrt (+ 1.0 (* y y))) (cbrt (* x (+ (pow 1.0 3) (pow (* y y) 3)))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (* x (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (* x (+ 1.0 (* y y))))) (cbrt (cbrt (* x (+ 1.0 (* y y)))))) (cbrt (cbrt (* x (+ 1.0 (* y y))))) (* x (+ 1.0 (* y y))) (sqrt (cbrt (* x (+ 1.0 (* y y))))) (sqrt (cbrt (* x (+ 1.0 (* y y))))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow x 1/3)) (pow 1.0 1/3)) (+ (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (* 0.3333333333333333 (/ (exp (* -1/3 (+ (log (/ 1 x)) (* 2 (log (/ 1 y)))))) (pow y 2)))) (+ (* 0.3333333333333333 (/ (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (pow y 2))) (* (exp (* -1/3 (+ (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1))) 2.127 * * * [progress]: adding candidates to table 2.312 * [progress]: [Phase 3 of 3] Extracting. 2.312 * * [regime]: Finding splitpoints for: (# # # # # #) 2.313 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 2.313 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.329 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 2.348 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # #) 2.366 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.387 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.405 * * * [regime]: Found split indices: #