26.603 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.022 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.022 * [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 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.036 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.060 * [taylor]: Taking taylor expansion of -1 in y 0.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 1.0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * * * [progress]: simplifying candidates 0.091 * [simplify]: Simplifying using # : (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* 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)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.094 * * [simplify]: iteration 0 : 148 enodes (cost 123 ) 0.098 * * [simplify]: iteration 1 : 742 enodes (cost 103 ) 0.112 * * [simplify]: iteration 2 : 3453 enodes (cost 100 ) 0.169 * * [simplify]: iteration 3 : 5001 enodes (cost 100 ) 0.170 * [simplify]: Simplified to: (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* (fma y y 1.0) x) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* (fma y y 1.0) x) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* (fma y y 1.0) x) 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))) (* (fma y y 1.0) x) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (pow y 2))) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.170 * * * [progress]: adding candidates to table 0.217 * * [progress]: iteration 2 / 4 0.218 * * * [progress]: picking best candidate 0.224 * * * * [pick]: Picked # 0.224 * * * [progress]: localizing error 0.230 * * * [progress]: generating rewritten candidates 0.230 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.233 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.236 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.255 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.266 * * * [progress]: generating series expansions 0.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.266 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.266 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of 1.0 in y 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.268 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of 1.0 in y 0.284 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 1.0 in y 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 1.0 in y 0.298 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of 1.0 in y 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of 1.0 in y 0.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.311 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.311 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.313 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 1.0 in y 0.326 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 1.0 in y 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 1.0 in y 0.339 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 1.0 in y 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) 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 0.342 * [taylor]: Taking taylor expansion of 1.0 in y 0.356 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.356 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.356 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of 1.0 in y 0.356 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of 1.0 in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.361 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of 1.0 in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of 1.0 in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.380 * [taylor]: Taking taylor expansion of -1 in y 0.380 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of 1.0 in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) 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 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.382 * [taylor]: Taking taylor expansion of -1 in y 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 1.0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.407 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.407 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of 1.0 in y 0.409 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.409 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.409 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.411 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of 1.0 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 1.0 in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of 1.0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.440 * [taylor]: Taking taylor expansion of -1 in y 0.440 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of 1.0 in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.443 * [taylor]: Taking taylor expansion of x in y 0.443 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.443 * [taylor]: Taking taylor expansion of -1 in x 0.443 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.444 * [taylor]: Taking taylor expansion of -1 in x 0.444 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.446 * [taylor]: Taking taylor expansion of -1 in y 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 1.0 in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * * * [progress]: simplifying candidates 0.470 * [simplify]: Simplifying using # : (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (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)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (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)))) (expm1 (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (log1p (* (* 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)))) (+ (+ (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)))) (expm1 (* x (sqrt (+ 1.0 (* y y))))) (log1p (* x (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))) 0.476 * * [simplify]: iteration 0 : 318 enodes (cost 722 ) 0.483 * * [simplify]: iteration 1 : 1367 enodes (cost 620 ) 0.507 * * [simplify]: iteration 2 : 5002 enodes (cost 595 ) 0.510 * [simplify]: Simplified to: (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (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 (hypot (sqrt 1.0) 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 (hypot (sqrt 1.0) y) (hypot (pow y 3) (pow 1.0 3/2)) (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)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (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 (hypot (sqrt 1.0) 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 (hypot (sqrt 1.0) y) (hypot (pow y 3) (pow 1.0 3/2)) (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)))) (expm1 (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (log1p (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (fma y y 1.0) x) (* (fma y y 1.0) x) (+ (log x) (log (fma y y 1.0))) (+ (log x) (log (fma y y 1.0))) (+ (log x) (log (fma y y 1.0))) (pow (exp x) (fma y y 1.0)) (pow (* (fma y y 1.0) x) 3) (pow (* (fma y y 1.0) x) 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 (* (fma y y 1.0) x) 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) (fma (pow y 2) (- (pow y 2) 1.0) (* 1.0 1.0)) (* (* x (hypot (pow y 3) (pow 1.0 3/2))) (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 (hypot (pow y 3) (pow 1.0 3/2))) (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 (* y y)) (fma y y 1.0)) x) (- 1.0 (* y y)) (* (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (hypot (sqrt 1.0) y)) (* (* (fabs (cbrt (+ 1.0 (* y y)))) x) (hypot (sqrt 1.0) y)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (* 1 (hypot (sqrt 1.0) y)) x) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (* 1 (hypot (sqrt 1.0) y)) x) (fma y y 1.0) (* (* (hypot (pow y 3) (pow 1.0 3/2)) (hypot (sqrt 1.0) y)) x) (* (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (hypot (sqrt 1.0) y)) x) (* (* (hypot (pow y 3) (pow 1.0 3/2)) (hypot (sqrt 1.0) y)) x) (* (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (hypot (sqrt 1.0) y)) x) (expm1 (* x (sqrt (+ 1.0 (* y y))))) (log1p (* x (sqrt (+ 1.0 (* y y))))) (* (* 1 (hypot (sqrt 1.0) y)) x) (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)))) (* (* 1 (hypot (sqrt 1.0) y)) x) (* x (hypot (pow y 3) (pow 1.0 3/2))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow y 3)) (fma 0.5 (/ 1 y) y)) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow y 3)) (fma 0.5 (/ 1 y) y)) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* (fma y y 1.0) x) (* (fma y y 1.0) x) (* x (sqrt 1.0)) (fma 0.5 (/ x y) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.511 * * * [progress]: adding candidates to table 0.756 * * [progress]: iteration 3 / 4 0.756 * * * [progress]: picking best candidate 0.764 * * * * [pick]: Picked # 0.765 * * * [progress]: localizing error 0.776 * * * [progress]: generating rewritten candidates 0.776 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.779 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.782 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.860 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.886 * * * [progress]: generating series expansions 0.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.886 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.886 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of 1.0 in y 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.888 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of 1.0 in y 0.902 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of 1.0 in y 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of 1.0 in y 0.916 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of 1.0 in y 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of 1.0 in y 0.931 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.931 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.931 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of 1.0 in y 0.932 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.932 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of 1.0 in y 0.946 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of 1.0 in y 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 1.0 in y 0.960 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of 1.0 in y 0.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of 1.0 in y 0.977 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.978 * [approximate]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.978 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in y 0.978 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 0.978 * [taylor]: Taking taylor expansion of x in y 0.978 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 0.978 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 0.978 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 0.978 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 0.978 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.978 * [taylor]: Taking taylor expansion of 1.0 in y 0.979 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.979 * [taylor]: Taking taylor expansion of 1.0 in y 0.979 * [taylor]: Taking taylor expansion of (* y y) in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.984 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of 1.0 in y 0.985 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in x 0.985 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 0.985 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 0.985 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 0.986 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.986 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.987 * [taylor]: Taking taylor expansion of (* y y) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.991 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (sqrt (+ (pow y 2) 1.0))) in x 0.992 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 0.992 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 0.992 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 0.992 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.992 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [taylor]: Taking taylor expansion of (* y y) in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.997 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.998 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [taylor]: Taking taylor expansion of (sqrt (* (+ (pow y 2) (pow (sqrt 1.0) 2)) (+ (pow y 2) 1.0))) in y 1.000 * [taylor]: Taking taylor expansion of (* (+ (pow y 2) (pow (sqrt 1.0) 2)) (+ (pow y 2) 1.0)) in y 1.000 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.000 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.000 * [taylor]: Taking taylor expansion of 1.0 in y 1.001 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of 1.0 in y 1.015 * [taylor]: Taking taylor expansion of 0 in y 1.023 * [taylor]: Taking taylor expansion of 0 in y 1.024 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in (x y) around 0 1.024 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in y 1.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of 1.0 in y 1.027 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 1.027 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 1.027 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.027 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 1.027 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.027 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.027 * [taylor]: Taking taylor expansion of 1.0 in y 1.028 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.028 * [taylor]: Taking taylor expansion of 1.0 in y 1.029 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.032 * [taylor]: Taking taylor expansion of x in y 1.032 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in x 1.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.033 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.033 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.033 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.033 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.033 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.033 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.034 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.034 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.035 * [taylor]: Taking taylor expansion of y in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.035 * [taylor]: Taking taylor expansion of y in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ 1 y)) x)) in x 1.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.039 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.040 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.041 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.041 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.041 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.041 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.048 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of 1.0 in y 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.049 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.049 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.049 * [taylor]: Taking taylor expansion of 1.0 in y 1.059 * [taylor]: Taking taylor expansion of 0 in y 1.067 * [taylor]: Taking taylor expansion of 0 in y 1.089 * [taylor]: Taking taylor expansion of 0 in y 1.106 * [taylor]: Taking taylor expansion of 0 in y 1.133 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in (x y) around 0 1.133 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in y 1.133 * [taylor]: Taking taylor expansion of -1 in y 1.133 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 1.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.134 * [taylor]: Taking taylor expansion of 1.0 in y 1.136 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 1.136 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 1.136 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.136 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 1.136 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.136 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.136 * [taylor]: Taking taylor expansion of 1.0 in y 1.137 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.137 * [taylor]: Taking taylor expansion of 1.0 in y 1.138 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.138 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.138 * [taylor]: Taking taylor expansion of -1 in y 1.138 * [taylor]: Taking taylor expansion of y in y 1.138 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.138 * [taylor]: Taking taylor expansion of -1 in y 1.138 * [taylor]: Taking taylor expansion of y in y 1.141 * [taylor]: Taking taylor expansion of x in y 1.141 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.141 * [taylor]: Taking taylor expansion of -1 in x 1.141 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.141 * [taylor]: Taking taylor expansion of y in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.142 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.142 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.142 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.142 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.142 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.144 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.144 * [taylor]: Taking taylor expansion of -1 in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.144 * [taylor]: Taking taylor expansion of -1 in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.152 * [taylor]: Taking taylor expansion of y in x 1.152 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.153 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.153 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.153 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.153 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.153 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.155 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.155 * [taylor]: Taking taylor expansion of -1 in x 1.155 * [taylor]: Taking taylor expansion of y in x 1.155 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.155 * [taylor]: Taking taylor expansion of -1 in x 1.155 * [taylor]: Taking taylor expansion of y in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (* -1 (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))))) in y 1.161 * [taylor]: Taking taylor expansion of -1 in y 1.161 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.161 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y 2)) 1.0) (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.161 * [taylor]: Taking taylor expansion of y in y 1.162 * [taylor]: Taking taylor expansion of 1.0 in y 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.162 * [taylor]: Taking taylor expansion of y in y 1.163 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.163 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.163 * [taylor]: Taking taylor expansion of 1.0 in y 1.171 * [taylor]: Taking taylor expansion of 0 in y 1.181 * [taylor]: Taking taylor expansion of 0 in y 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.227 * [taylor]: Taking taylor expansion of 0 in y 1.265 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.265 * [approximate]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in (x y) around 0 1.265 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in y 1.265 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 1.265 * [taylor]: Taking taylor expansion of x in y 1.265 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 1.265 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.265 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 1.265 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.265 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.265 * [taylor]: Taking taylor expansion of 1.0 in y 1.266 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.266 * [taylor]: Taking taylor expansion of 1.0 in y 1.267 * [taylor]: Taking taylor expansion of (* y y) in y 1.267 * [taylor]: Taking taylor expansion of y in y 1.267 * [taylor]: Taking taylor expansion of y in y 1.272 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in y 1.272 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in y 1.272 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in y 1.272 * [taylor]: Taking taylor expansion of 1/4 in y 1.272 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.272 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.272 * [taylor]: Taking taylor expansion of y in y 1.272 * [taylor]: Taking taylor expansion of 1.0 in y 1.274 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in x 1.274 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.274 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.274 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.274 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.274 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.274 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.275 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (* y y) in x 1.276 * [taylor]: Taking taylor expansion of y in x 1.276 * [taylor]: Taking taylor expansion of y in x 1.280 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in x 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in x 1.280 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in x 1.280 * [taylor]: Taking taylor expansion of 1/4 in x 1.280 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in x 1.280 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.280 * [taylor]: Taking taylor expansion of y in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.280 * [taylor]: Taking taylor expansion of (* (* x (hypot (sqrt 1.0) y)) (pow (+ (pow y 2) 1.0) 1/4)) in x 1.280 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 1.280 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 1.280 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 1.280 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.280 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.281 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [taylor]: Taking taylor expansion of (* y y) in x 1.282 * [taylor]: Taking taylor expansion of y in x 1.282 * [taylor]: Taking taylor expansion of y in x 1.286 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in x 1.286 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in x 1.287 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in x 1.287 * [taylor]: Taking taylor expansion of 1/4 in x 1.287 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in x 1.287 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.287 * [taylor]: Taking taylor expansion of y in x 1.287 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [taylor]: Taking taylor expansion of 0 in y 1.292 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow (sqrt 1.0) 2))) (pow (+ (pow y 2) 1.0) 1/4)) in y 1.292 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow (sqrt 1.0) 2))) in y 1.292 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 1.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.292 * [taylor]: Taking taylor expansion of y in y 1.292 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.292 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.292 * [taylor]: Taking taylor expansion of 1.0 in y 1.297 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/4) in y 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) 1.0)))) in y 1.297 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) 1.0))) in y 1.297 * [taylor]: Taking taylor expansion of 1/4 in y 1.297 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.297 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.297 * [taylor]: Taking taylor expansion of y in y 1.297 * [taylor]: Taking taylor expansion of 1.0 in y 1.310 * [taylor]: Taking taylor expansion of 0 in y 1.328 * [taylor]: Taking taylor expansion of 0 in y 1.329 * [approximate]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in (x y) around 0 1.329 * [taylor]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in y 1.329 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 1.329 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 1.330 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.330 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 1.330 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.330 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.330 * [taylor]: Taking taylor expansion of 1.0 in y 1.330 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.330 * [taylor]: Taking taylor expansion of 1.0 in y 1.331 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.331 * [taylor]: Taking taylor expansion of y in y 1.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.331 * [taylor]: Taking taylor expansion of y in y 1.334 * [taylor]: Taking taylor expansion of x in y 1.334 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.334 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.334 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.334 * [taylor]: Taking taylor expansion of 1/4 in y 1.334 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.334 * [taylor]: Taking taylor expansion of y in y 1.335 * [taylor]: Taking taylor expansion of 1.0 in y 1.336 * [taylor]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in x 1.336 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.336 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.336 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.336 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.336 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.336 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.338 * [taylor]: Taking taylor expansion of y in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.338 * [taylor]: Taking taylor expansion of y in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.342 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.343 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.343 * [taylor]: Taking taylor expansion of 1/4 in x 1.343 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.343 * [taylor]: Taking taylor expansion of y in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (* (/ (hypot (sqrt 1.0) (/ 1 y)) x) (pow (+ (/ 1 (pow y 2)) 1.0) 1/4)) in x 1.343 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 1.343 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 1.343 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 1.343 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 1.343 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.343 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.345 * [taylor]: Taking taylor expansion of y in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.345 * [taylor]: Taking taylor expansion of y in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.350 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.350 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.350 * [taylor]: Taking taylor expansion of 1/4 in x 1.350 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.350 * [taylor]: Taking taylor expansion of y in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.351 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.351 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.351 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.351 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.351 * [taylor]: Taking taylor expansion of 1/4 in y 1.351 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.351 * [taylor]: Taking taylor expansion of y in y 1.352 * [taylor]: Taking taylor expansion of 1.0 in y 1.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.353 * [taylor]: Taking taylor expansion of y in y 1.353 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.353 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.353 * [taylor]: Taking taylor expansion of 1.0 in y 1.360 * [taylor]: Taking taylor expansion of 0 in y 1.374 * [taylor]: Taking taylor expansion of 0 in y 1.405 * [taylor]: Taking taylor expansion of 0 in y 1.435 * [taylor]: Taking taylor expansion of 0 in y 1.437 * [approximate]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in (x y) around 0 1.437 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in y 1.437 * [taylor]: Taking taylor expansion of -1 in y 1.437 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 1.437 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.437 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.437 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.437 * [taylor]: Taking taylor expansion of 1/4 in y 1.437 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.437 * [taylor]: Taking taylor expansion of y in y 1.437 * [taylor]: Taking taylor expansion of 1.0 in y 1.438 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 1.438 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 1.438 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.438 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 1.439 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 1.439 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.439 * [taylor]: Taking taylor expansion of 1.0 in y 1.439 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.439 * [taylor]: Taking taylor expansion of 1.0 in y 1.440 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.440 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.440 * [taylor]: Taking taylor expansion of -1 in y 1.440 * [taylor]: Taking taylor expansion of y in y 1.440 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.440 * [taylor]: Taking taylor expansion of -1 in y 1.440 * [taylor]: Taking taylor expansion of y in y 1.443 * [taylor]: Taking taylor expansion of x in y 1.443 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.444 * [taylor]: Taking taylor expansion of -1 in x 1.444 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.444 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.444 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.444 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.444 * [taylor]: Taking taylor expansion of 1/4 in x 1.444 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.444 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of 1.0 in x 1.444 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.444 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.444 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.444 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.444 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.444 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.446 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.446 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.446 * [taylor]: Taking taylor expansion of -1 in x 1.446 * [taylor]: Taking taylor expansion of y in x 1.446 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.446 * [taylor]: Taking taylor expansion of -1 in x 1.446 * [taylor]: Taking taylor expansion of y in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x))) in x 1.451 * [taylor]: Taking taylor expansion of -1 in x 1.451 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 1.451 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in x 1.451 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in x 1.451 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in x 1.451 * [taylor]: Taking taylor expansion of 1/4 in x 1.451 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in x 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.451 * [taylor]: Taking taylor expansion of y in x 1.451 * [taylor]: Taking taylor expansion of 1.0 in x 1.452 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 1.452 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 1.452 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 1.452 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 1.452 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.452 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.452 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.454 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.454 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.454 * [taylor]: Taking taylor expansion of -1 in x 1.454 * [taylor]: Taking taylor expansion of y in x 1.454 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.454 * [taylor]: Taking taylor expansion of -1 in x 1.454 * [taylor]: Taking taylor expansion of y in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (* -1 (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))))) in y 1.461 * [taylor]: Taking taylor expansion of -1 in y 1.461 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 1.461 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/4) in y 1.461 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.461 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.461 * [taylor]: Taking taylor expansion of 1/4 in y 1.461 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.461 * [taylor]: Taking taylor expansion of y in y 1.461 * [taylor]: Taking taylor expansion of 1.0 in y 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.463 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 1.463 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 1.463 * [taylor]: Taking taylor expansion of 1.0 in y 1.472 * [taylor]: Taking taylor expansion of 0 in y 1.486 * [taylor]: Taking taylor expansion of 0 in y 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.553 * [taylor]: Taking taylor expansion of 0 in y 1.554 * * * [progress]: simplifying candidates 1.557 * [simplify]: Simplifying using # : (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (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)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (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)))) (expm1 (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (log1p (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))) (+ (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (hypot (sqrt 1.0) y))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (hypot (sqrt 1.0) y))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (exp (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x x) x) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (cbrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt 1))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt 1)) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) 1) (* (hypot (sqrt 1.0) y) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))) (expm1 (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (log1p (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (hypot (sqrt 1.0) y))) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (hypot (sqrt 1.0) y))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* (* (* x x) x) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y)))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (hypot (sqrt 1.0) y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) 1) (* (sqrt (sqrt (+ 1.0 (* y y)))) (hypot (sqrt 1.0) y)) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (hypot (sqrt 1.0) y)) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* x (pow (sqrt 1.0) 2)) (- (+ (* x (pow y 2)) (+ (* 0.5 x) (+ (* 1/2 (* x (pow (sqrt 1.0) 2))) (* 0.25 (/ (* x (pow (sqrt 1.0) 2)) (pow y 2)))))) (+ (* 1/8 (/ (* x (pow (sqrt 1.0) 4)) (pow y 2))) (* 0.125 (/ x (pow y 2))))) (- (+ (* x (pow y 2)) (+ (* 0.5 x) (+ (* 1/2 (* x (pow (sqrt 1.0) 2))) (* 0.25 (/ (* x (pow (sqrt 1.0) 2)) (pow y 2)))))) (+ (* 1/8 (/ (* x (pow (sqrt 1.0) 4)) (pow y 2))) (* 0.125 (/ x (pow y 2))))) (* (* x (sqrt 1.0)) (pow 1.0 1/4)) (+ (* 0.25 (* x (sqrt (/ 1 y)))) (+ (* 1/2 (* (* x (pow (sqrt 1.0) 2)) (sqrt (/ 1 y)))) (* x (sqrt (pow y 3))))) (- (+ (* 0.25 (/ (* (sqrt (* -1 y)) x) y)) (+ (* 1/2 (/ (* (sqrt (* -1 y)) (* x (pow (sqrt 1.0) 2))) y)) (* (sqrt (* -1 y)) (* x y))))) 1.565 * * [simplify]: iteration 0 : 503 enodes (cost 1174 ) 1.575 * * [simplify]: iteration 1 : 2285 enodes (cost 1049 ) 1.617 * * [simplify]: iteration 2 : 5001 enodes (cost 930 ) 1.622 * [simplify]: Simplified to: (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (pow (hypot (sqrt 1.0) y) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) 1 (hypot (sqrt 1.0) y) (hypot (pow y 3) (pow 1.0 3/2)) (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 (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (pow (hypot (sqrt 1.0) y) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) 1 (hypot (sqrt 1.0) y) (hypot (pow y 3) (pow 1.0 3/2)) (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 (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (log1p (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (+ (log (* (sqrt (+ 1.0 (* y y))) x)) (log (hypot (sqrt 1.0) y))) (+ (log (* (sqrt (+ 1.0 (* y y))) x)) (log (hypot (sqrt 1.0) y))) (+ (log (* (sqrt (+ 1.0 (* y y))) x)) (log (hypot (sqrt 1.0) y))) (+ (log (* (sqrt (+ 1.0 (* y y))) x)) (log (hypot (sqrt 1.0) y))) (pow (exp (* (sqrt (+ 1.0 (* y y))) x)) (hypot (sqrt 1.0) y)) (pow (* (hypot (sqrt 1.0) y) (* (sqrt (+ 1.0 (* y y))) x)) 3) (pow (* (hypot (sqrt 1.0) y) (* (sqrt (+ 1.0 (* y y))) x)) 3) (pow (* (hypot (sqrt 1.0) y) (* (sqrt (+ 1.0 (* y y))) x)) 3) (* (cbrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (* (hypot (sqrt 1.0) y) (* (sqrt (+ 1.0 (* y y))) x)) 3) (sqrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (- 1.0 (* y y))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (hypot (sqrt 1.0) y) (fabs (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (expm1 (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (log1p (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (pow (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) 3) (pow (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) 3) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (pow (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) 3) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y)))) (* (hypot (sqrt 1.0) y) x) (* (sqrt (hypot (sqrt 1.0) y)) x) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (hypot (sqrt 1.0) y)) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (hypot (sqrt 1.0) y)) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow y 3)) (fma 0.5 (/ 1 y) y)) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (+ (/ (- 0.125) (pow y 3)) (fma 0.5 (/ 1 y) y)) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* x (pow (sqrt 1.0) 2)) (+ (fma x (fma y y 0.5) (/ (/ (* (* 0.25 1.0) x) y) y)) (- (* (* 1/2 1.0) x) (fma 0.125 (/ x (pow y 2)) (/ (* 1/8 x) (* (/ y 1.0) (/ y 1.0)))))) (+ (fma x (fma y y 0.5) (/ (/ (* (* 0.25 1.0) x) y) y)) (- (* (* 1/2 1.0) x) (fma 0.125 (/ x (pow y 2)) (/ (* 1/8 x) (* (/ y 1.0) (/ y 1.0)))))) (* (* x (sqrt 1.0)) (pow 1.0 1/4)) (fma (* 0.25 (sqrt (/ 1 y))) x (fma (* 1/2 x) (* (sqrt (/ 1 y)) 1.0) (* x (sqrt (pow y 3))))) (+ (- (fma 0.25 (/ (* (sqrt (* -1 y)) x) y) (* (sqrt (* -1 y)) (* x y)))) (* (- 1/2) (/ (* (sqrt (* -1 y)) x) (/ y 1.0)))) 1.622 * * * [progress]: adding candidates to table 1.969 * * [progress]: iteration 4 / 4 1.969 * * * [progress]: picking best candidate 1.980 * * * * [pick]: Picked # 1.980 * * * [progress]: localizing error 1.989 * * * [progress]: generating rewritten candidates 1.989 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.995 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.995 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.995 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.000 * * * [progress]: generating series expansions 2.000 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.001 * [approximate]: Taking taylor expansion of (* (pow (hypot (sqrt 1.0) y) 2) x) in (y x) around 0 2.001 * [taylor]: Taking taylor expansion of (* (pow (hypot (sqrt 1.0) y) 2) x) in x 2.001 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) y) 2) in x 2.001 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 2.001 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.001 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 2.001 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.001 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.001 * [taylor]: Taking taylor expansion of 1.0 in x 2.002 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.002 * [taylor]: Taking taylor expansion of 1.0 in x 2.002 * [taylor]: Taking taylor expansion of (* y y) in x 2.002 * [taylor]: Taking taylor expansion of y in x 2.002 * [taylor]: Taking taylor expansion of y in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of (* (pow (hypot (sqrt 1.0) y) 2) x) in y 2.006 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) y) 2) in y 2.007 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.007 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.007 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.007 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.007 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.007 * [taylor]: Taking taylor expansion of 1.0 in y 2.007 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.007 * [taylor]: Taking taylor expansion of 1.0 in y 2.008 * [taylor]: Taking taylor expansion of (* y y) in y 2.008 * [taylor]: Taking taylor expansion of y in y 2.008 * [taylor]: Taking taylor expansion of y in y 2.013 * [taylor]: Taking taylor expansion of x in y 2.013 * [taylor]: Taking taylor expansion of (* (pow (hypot (sqrt 1.0) y) 2) x) in y 2.013 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) y) 2) in y 2.013 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.013 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.013 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.013 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.013 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.013 * [taylor]: Taking taylor expansion of 1.0 in y 2.014 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.014 * [taylor]: Taking taylor expansion of 1.0 in y 2.015 * [taylor]: Taking taylor expansion of (* y y) in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.020 * [taylor]: Taking taylor expansion of x in y 2.021 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 1.0) 2)) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.021 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.021 * [taylor]: Taking taylor expansion of 1.0 in x 2.024 * [taylor]: Taking taylor expansion of 0 in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.044 * [taylor]: Taking taylor expansion of 0 in x 2.065 * [taylor]: Taking taylor expansion of 0 in x 2.070 * [approximate]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in (y x) around 0 2.070 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in x 2.070 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ 1 y)) 2) in x 2.070 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 2.070 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.070 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 2.070 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.070 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.070 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.072 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.072 * [taylor]: Taking taylor expansion of y in x 2.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.072 * [taylor]: Taking taylor expansion of y in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in y 2.078 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ 1 y)) 2) in y 2.078 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.079 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.079 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.079 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.079 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.079 * [taylor]: Taking taylor expansion of 1.0 in y 2.079 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.079 * [taylor]: Taking taylor expansion of 1.0 in y 2.080 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.080 * [taylor]: Taking taylor expansion of y in y 2.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.080 * [taylor]: Taking taylor expansion of y in y 2.083 * [taylor]: Taking taylor expansion of x in y 2.084 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ 1 y)) 2) x) in y 2.084 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ 1 y)) 2) in y 2.084 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.084 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.084 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.084 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.084 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.084 * [taylor]: Taking taylor expansion of 1.0 in y 2.085 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.085 * [taylor]: Taking taylor expansion of 1.0 in y 2.085 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.085 * [taylor]: Taking taylor expansion of y in y 2.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.086 * [taylor]: Taking taylor expansion of y in y 2.088 * [taylor]: Taking taylor expansion of x in y 2.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.090 * [taylor]: Taking taylor expansion of 0 in x 2.102 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) x) in x 2.102 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.102 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.103 * [taylor]: Taking taylor expansion of 1.0 in x 2.103 * [taylor]: Taking taylor expansion of x in x 2.111 * [taylor]: Taking taylor expansion of 0 in x 2.133 * [taylor]: Taking taylor expansion of 0 in x 2.135 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in (y x) around 0 2.135 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in x 2.135 * [taylor]: Taking taylor expansion of -1 in x 2.135 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x) in x 2.135 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ -1 y)) 2) in x 2.135 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 2.135 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.135 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 2.135 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.135 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.135 * [taylor]: Taking taylor expansion of 1.0 in x 2.136 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.136 * [taylor]: Taking taylor expansion of 1.0 in x 2.137 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.137 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.137 * [taylor]: Taking taylor expansion of -1 in x 2.137 * [taylor]: Taking taylor expansion of y in x 2.137 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.137 * [taylor]: Taking taylor expansion of -1 in x 2.137 * [taylor]: Taking taylor expansion of y in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.144 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in y 2.144 * [taylor]: Taking taylor expansion of -1 in y 2.144 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x) in y 2.144 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ -1 y)) 2) in y 2.144 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.144 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.144 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.144 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.144 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.144 * [taylor]: Taking taylor expansion of 1.0 in y 2.145 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.145 * [taylor]: Taking taylor expansion of 1.0 in y 2.145 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.145 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.145 * [taylor]: Taking taylor expansion of -1 in y 2.145 * [taylor]: Taking taylor expansion of y in y 2.146 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.146 * [taylor]: Taking taylor expansion of -1 in y 2.146 * [taylor]: Taking taylor expansion of y in y 2.149 * [taylor]: Taking taylor expansion of x in y 2.149 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x)) in y 2.149 * [taylor]: Taking taylor expansion of -1 in y 2.149 * [taylor]: Taking taylor expansion of (/ (pow (hypot (sqrt 1.0) (/ -1 y)) 2) x) in y 2.149 * [taylor]: Taking taylor expansion of (pow (hypot (sqrt 1.0) (/ -1 y)) 2) in y 2.149 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.149 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.149 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.149 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.149 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.149 * [taylor]: Taking taylor expansion of 1.0 in y 2.150 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.150 * [taylor]: Taking taylor expansion of 1.0 in y 2.151 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.151 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.151 * [taylor]: Taking taylor expansion of -1 in y 2.151 * [taylor]: Taking taylor expansion of y in y 2.151 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.151 * [taylor]: Taking taylor expansion of -1 in y 2.151 * [taylor]: Taking taylor expansion of y in y 2.154 * [taylor]: Taking taylor expansion of x in y 2.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.155 * [taylor]: Taking taylor expansion of -1 in x 2.155 * [taylor]: Taking taylor expansion of x in x 2.156 * [taylor]: Taking taylor expansion of 0 in x 2.171 * [taylor]: Taking taylor expansion of (- (/ (pow (sqrt 1.0) 2) x)) in x 2.171 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) x) in x 2.171 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.171 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.171 * [taylor]: Taking taylor expansion of 1.0 in x 2.172 * [taylor]: Taking taylor expansion of x in x 2.183 * [taylor]: Taking taylor expansion of 0 in x 2.206 * [taylor]: Taking taylor expansion of 0 in x 2.208 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.208 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) y) in (y) around 0 2.208 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.208 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.208 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.208 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.208 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.209 * [taylor]: Taking taylor expansion of 1.0 in y 2.209 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.209 * [taylor]: Taking taylor expansion of 1.0 in y 2.210 * [taylor]: Taking taylor expansion of (* y y) in y 2.210 * [taylor]: Taking taylor expansion of y in y 2.210 * [taylor]: Taking taylor expansion of y in y 2.215 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.215 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.215 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.215 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.215 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.215 * [taylor]: Taking taylor expansion of 1.0 in y 2.216 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.216 * [taylor]: Taking taylor expansion of 1.0 in y 2.216 * [taylor]: Taking taylor expansion of (* y y) in y 2.216 * [taylor]: Taking taylor expansion of y in y 2.216 * [taylor]: Taking taylor expansion of y in y 2.243 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in (y) around 0 2.243 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.243 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.243 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.243 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.243 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.243 * [taylor]: Taking taylor expansion of 1.0 in y 2.244 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.244 * [taylor]: Taking taylor expansion of 1.0 in y 2.245 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.245 * [taylor]: Taking taylor expansion of y in y 2.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.245 * [taylor]: Taking taylor expansion of y in y 2.248 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.248 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.248 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.248 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.248 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.248 * [taylor]: Taking taylor expansion of 1.0 in y 2.249 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.249 * [taylor]: Taking taylor expansion of 1.0 in y 2.250 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.250 * [taylor]: Taking taylor expansion of y in y 2.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.250 * [taylor]: Taking taylor expansion of y in y 2.275 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in (y) around 0 2.275 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.275 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.275 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.275 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.275 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.276 * [taylor]: Taking taylor expansion of 1.0 in y 2.276 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.276 * [taylor]: Taking taylor expansion of 1.0 in y 2.277 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.277 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.277 * [taylor]: Taking taylor expansion of -1 in y 2.277 * [taylor]: Taking taylor expansion of y in y 2.277 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.277 * [taylor]: Taking taylor expansion of -1 in y 2.277 * [taylor]: Taking taylor expansion of y in y 2.280 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.280 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.280 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.280 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.280 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.280 * [taylor]: Taking taylor expansion of 1.0 in y 2.281 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.281 * [taylor]: Taking taylor expansion of 1.0 in y 2.282 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.282 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.282 * [taylor]: Taking taylor expansion of -1 in y 2.282 * [taylor]: Taking taylor expansion of y in y 2.282 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.282 * [taylor]: Taking taylor expansion of -1 in y 2.282 * [taylor]: Taking taylor expansion of y in y 2.308 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.309 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) y) in (y) around 0 2.309 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.309 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.309 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.309 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.309 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.309 * [taylor]: Taking taylor expansion of 1.0 in y 2.310 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.310 * [taylor]: Taking taylor expansion of 1.0 in y 2.311 * [taylor]: Taking taylor expansion of (* y y) in y 2.311 * [taylor]: Taking taylor expansion of y in y 2.311 * [taylor]: Taking taylor expansion of y in y 2.316 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.316 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.316 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.316 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.316 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.316 * [taylor]: Taking taylor expansion of 1.0 in y 2.317 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.317 * [taylor]: Taking taylor expansion of 1.0 in y 2.317 * [taylor]: Taking taylor expansion of (* y y) in y 2.317 * [taylor]: Taking taylor expansion of y in y 2.317 * [taylor]: Taking taylor expansion of y in y 2.345 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in (y) around 0 2.345 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.345 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.346 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.346 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.346 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.346 * [taylor]: Taking taylor expansion of 1.0 in y 2.346 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.346 * [taylor]: Taking taylor expansion of 1.0 in y 2.347 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.347 * [taylor]: Taking taylor expansion of y in y 2.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.347 * [taylor]: Taking taylor expansion of y in y 2.350 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.350 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.350 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.350 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.350 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.350 * [taylor]: Taking taylor expansion of 1.0 in y 2.351 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.351 * [taylor]: Taking taylor expansion of 1.0 in y 2.352 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.352 * [taylor]: Taking taylor expansion of y in y 2.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.353 * [taylor]: Taking taylor expansion of y in y 2.378 * [approximate]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in (y) around 0 2.378 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.378 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.378 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.378 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.378 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.378 * [taylor]: Taking taylor expansion of 1.0 in y 2.379 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.379 * [taylor]: Taking taylor expansion of 1.0 in y 2.379 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.379 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.379 * [taylor]: Taking taylor expansion of -1 in y 2.379 * [taylor]: Taking taylor expansion of y in y 2.380 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.380 * [taylor]: Taking taylor expansion of -1 in y 2.380 * [taylor]: Taking taylor expansion of y in y 2.383 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.383 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.383 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.383 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.383 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.383 * [taylor]: Taking taylor expansion of 1.0 in y 2.384 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.384 * [taylor]: Taking taylor expansion of 1.0 in y 2.385 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.385 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.385 * [taylor]: Taking taylor expansion of -1 in y 2.385 * [taylor]: Taking taylor expansion of y in y 2.385 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.385 * [taylor]: Taking taylor expansion of -1 in y 2.385 * [taylor]: Taking taylor expansion of y in y 2.411 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.411 * [approximate]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in (x y) around 0 2.411 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in y 2.411 * [taylor]: Taking taylor expansion of x in y 2.411 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in y 2.411 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.411 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in y 2.411 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.411 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.411 * [taylor]: Taking taylor expansion of 1.0 in y 2.412 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.412 * [taylor]: Taking taylor expansion of 1.0 in y 2.413 * [taylor]: Taking taylor expansion of (* y y) in y 2.413 * [taylor]: Taking taylor expansion of y in y 2.413 * [taylor]: Taking taylor expansion of y in y 2.424 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 2.424 * [taylor]: Taking taylor expansion of x in x 2.424 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 2.424 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.424 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 2.424 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.424 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.425 * [taylor]: Taking taylor expansion of 1.0 in x 2.425 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.425 * [taylor]: Taking taylor expansion of 1.0 in x 2.426 * [taylor]: Taking taylor expansion of (* y y) in x 2.426 * [taylor]: Taking taylor expansion of y in x 2.426 * [taylor]: Taking taylor expansion of y in x 2.430 * [taylor]: Taking taylor expansion of (* x (hypot (sqrt 1.0) y)) in x 2.430 * [taylor]: Taking taylor expansion of x in x 2.430 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) y) in x 2.430 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y))) 2.430 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) in x 2.430 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.430 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.430 * [taylor]: Taking taylor expansion of 1.0 in x 2.431 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.432 * [taylor]: Taking taylor expansion of (* y y) in x 2.432 * [taylor]: Taking taylor expansion of y in x 2.432 * [taylor]: Taking taylor expansion of y in x 2.436 * [taylor]: Taking taylor expansion of 0 in y 2.437 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow (sqrt 1.0) 2))) in y 2.437 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow (sqrt 1.0) 2)) in y 2.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.437 * [taylor]: Taking taylor expansion of y in y 2.437 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 2.437 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.437 * [taylor]: Taking taylor expansion of 1.0 in y 2.447 * [taylor]: Taking taylor expansion of 0 in y 2.453 * [taylor]: Taking taylor expansion of 0 in y 2.453 * [approximate]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in (x y) around 0 2.454 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in y 2.454 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in y 2.454 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.454 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in y 2.454 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.454 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.454 * [taylor]: Taking taylor expansion of 1.0 in y 2.454 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.454 * [taylor]: Taking taylor expansion of 1.0 in y 2.455 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.455 * [taylor]: Taking taylor expansion of y in y 2.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.456 * [taylor]: Taking taylor expansion of y in y 2.458 * [taylor]: Taking taylor expansion of x in y 2.458 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 2.458 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 2.459 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.459 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 2.459 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.459 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.459 * [taylor]: Taking taylor expansion of 1.0 in x 2.459 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.459 * [taylor]: Taking taylor expansion of 1.0 in x 2.460 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.460 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.460 * [taylor]: Taking taylor expansion of y in x 2.460 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.460 * [taylor]: Taking taylor expansion of y in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.465 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ 1 y)) x) in x 2.465 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ 1 y)) in x 2.465 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y)))) 2.465 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 y) (/ 1 y))) in x 2.465 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.465 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.465 * [taylor]: Taking taylor expansion of 1.0 in x 2.466 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.466 * [taylor]: Taking taylor expansion of 1.0 in x 2.467 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.467 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.467 * [taylor]: Taking taylor expansion of y in x 2.467 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.467 * [taylor]: Taking taylor expansion of y in x 2.471 * [taylor]: Taking taylor expansion of x in x 2.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 2.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 2.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.472 * [taylor]: Taking taylor expansion of y in y 2.473 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 2.473 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.473 * [taylor]: Taking taylor expansion of 1.0 in y 2.477 * [taylor]: Taking taylor expansion of 0 in y 2.483 * [taylor]: Taking taylor expansion of 0 in y 2.496 * [taylor]: Taking taylor expansion of 0 in y 2.506 * [taylor]: Taking taylor expansion of 0 in y 2.508 * [approximate]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in (x y) around 0 2.508 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in y 2.508 * [taylor]: Taking taylor expansion of -1 in y 2.508 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in y 2.508 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in y 2.508 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.508 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in y 2.508 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in y 2.508 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.508 * [taylor]: Taking taylor expansion of 1.0 in y 2.509 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.509 * [taylor]: Taking taylor expansion of 1.0 in y 2.509 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.509 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.509 * [taylor]: Taking taylor expansion of -1 in y 2.509 * [taylor]: Taking taylor expansion of y in y 2.510 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.510 * [taylor]: Taking taylor expansion of -1 in y 2.510 * [taylor]: Taking taylor expansion of y in y 2.513 * [taylor]: Taking taylor expansion of x in y 2.513 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 2.513 * [taylor]: Taking taylor expansion of -1 in x 2.513 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 2.513 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 2.513 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.513 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 2.513 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.513 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.521 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.521 * [taylor]: Taking taylor expansion of -1 in x 2.521 * [taylor]: Taking taylor expansion of y in x 2.521 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.521 * [taylor]: Taking taylor expansion of -1 in x 2.521 * [taylor]: Taking taylor expansion of y in x 2.525 * [taylor]: Taking taylor expansion of x in x 2.526 * [taylor]: Taking taylor expansion of (* -1 (/ (hypot (sqrt 1.0) (/ -1 y)) x)) in x 2.526 * [taylor]: Taking taylor expansion of -1 in x 2.526 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt 1.0) (/ -1 y)) x) in x 2.526 * [taylor]: Taking taylor expansion of (hypot (sqrt 1.0) (/ -1 y)) in x 2.526 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y)))) 2.526 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1.0) (sqrt 1.0)) (* (/ -1 y) (/ -1 y))) in x 2.526 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.526 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.527 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.527 * [taylor]: Taking taylor expansion of 1.0 in x 2.527 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.527 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.527 * [taylor]: Taking taylor expansion of -1 in x 2.527 * [taylor]: Taking taylor expansion of y in x 2.527 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.527 * [taylor]: Taking taylor expansion of -1 in x 2.527 * [taylor]: Taking taylor expansion of y in x 2.531 * [taylor]: Taking taylor expansion of x in x 2.533 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)))) in y 2.533 * [taylor]: Taking taylor expansion of -1 in y 2.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2))) in y 2.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (pow (sqrt 1.0) 2)) in y 2.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.533 * [taylor]: Taking taylor expansion of y in y 2.534 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in y 2.534 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 2.534 * [taylor]: Taking taylor expansion of 1.0 in y 2.539 * [taylor]: Taking taylor expansion of 0 in y 2.546 * [taylor]: Taking taylor expansion of 0 in y 2.564 * [taylor]: Taking taylor expansion of 0 in y 2.577 * [taylor]: Taking taylor expansion of 0 in y 2.579 * * * [progress]: simplifying candidates 2.580 * [simplify]: Simplifying using # : (expm1 (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (log1p (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (+ (log (hypot (sqrt 1.0) y)) (+ (log x) (log (hypot (sqrt 1.0) y)))) (+ (log (hypot (sqrt 1.0) y)) (log (* x (hypot (sqrt 1.0) y)))) (log (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (exp (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (* (* (* x x) x) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)))) (* (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (* (* (* x (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* x (hypot (sqrt 1.0) y)))) (* (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))))) (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (* (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (sqrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (sqrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (hypot (sqrt 1.0) y) x) (* (cbrt (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* (sqrt (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* y y)) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (* x (hypot (sqrt 1.0) y))) (log1p (* x (hypot (sqrt 1.0) y))) (* x (hypot (sqrt 1.0) y)) (+ (log x) (log (hypot (sqrt 1.0) y))) (log (* x (hypot (sqrt 1.0) y))) (exp (* x (hypot (sqrt 1.0) y))) (* (* (* x x) x) (* (* (hypot (sqrt 1.0) y) (hypot (sqrt 1.0) y)) (hypot (sqrt 1.0) y))) (* (cbrt (* x (hypot (sqrt 1.0) y))) (cbrt (* x (hypot (sqrt 1.0) y)))) (cbrt (* x (hypot (sqrt 1.0) y))) (* (* (* x (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* x (hypot (sqrt 1.0) y))) (sqrt (* x (hypot (sqrt 1.0) y))) (sqrt (* x (hypot (sqrt 1.0) y))) (* (sqrt x) (sqrt (hypot (sqrt 1.0) y))) (* (sqrt x) (sqrt (hypot (sqrt 1.0) y))) (* x (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y)))) (* x (sqrt (hypot (sqrt 1.0) y))) (* x 1) (* (cbrt x) (hypot (sqrt 1.0) y)) (* (sqrt x) (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y)) (+ (* x (pow y 2)) (* x (pow (sqrt 1.0) 2))) (+ (* x (pow y 2)) (* x (pow (sqrt 1.0) 2))) (+ (* x (pow y 2)) (* x (pow (sqrt 1.0) 2))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y)) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow y 3))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) y)) y)) (* x (sqrt 1.0)) (+ (* 1/2 (/ (* x (pow (sqrt 1.0) 2)) y)) (* x y)) (- (+ (* 1/2 (/ (* x (pow (sqrt 1.0) 2)) y)) (* x y))) 2.585 * * [simplify]: iteration 0 : 213 enodes (cost 439 ) 2.590 * * [simplify]: iteration 1 : 803 enodes (cost 361 ) 2.607 * * [simplify]: iteration 2 : 3698 enodes (cost 352 ) 2.684 * * [simplify]: iteration 3 : 5002 enodes (cost 344 ) 2.686 * [simplify]: Simplified to: (expm1 (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (log1p (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (fma 2 (log (hypot (sqrt 1.0) y)) (log x)) (exp (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (* (pow (hypot (sqrt 1.0) y) 6) x) (* x x)) (* (* (pow (hypot (sqrt 1.0) y) 6) x) (* x x)) (* (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))))) (cbrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* (* (pow (hypot (sqrt 1.0) y) 6) x) (* x x)) (sqrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (sqrt (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))) (* x (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* (sqrt (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y))) (* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y))) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (fma y y 1.0) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (pow (hypot (sqrt 1.0) y) 3) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (hypot (sqrt 1.0) y)) (log1p (hypot (sqrt 1.0) y)) (fma y y 1.0) (log (hypot (sqrt 1.0) y)) (exp (hypot (sqrt 1.0) y)) (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y))) (cbrt (hypot (sqrt 1.0) y)) (pow (hypot (sqrt 1.0) y) 3) (sqrt (hypot (sqrt 1.0) y)) (sqrt (hypot (sqrt 1.0) y)) (expm1 (* x (hypot (sqrt 1.0) y))) (log1p (* x (hypot (sqrt 1.0) y))) (* x (hypot (sqrt 1.0) y)) (log (* x (hypot (sqrt 1.0) y))) (log (* x (hypot (sqrt 1.0) y))) (exp (* x (hypot (sqrt 1.0) y))) (pow (* x (hypot (sqrt 1.0) y)) 3) (* (cbrt (* x (hypot (sqrt 1.0) y))) (cbrt (* x (hypot (sqrt 1.0) y)))) (cbrt (* x (hypot (sqrt 1.0) y))) (pow (* x (hypot (sqrt 1.0) y)) 3) (sqrt (* x (hypot (sqrt 1.0) y))) (sqrt (* x (hypot (sqrt 1.0) y))) (* (sqrt x) (sqrt (hypot (sqrt 1.0) y))) (* (sqrt x) (sqrt (hypot (sqrt 1.0) y))) (* x (* (cbrt (hypot (sqrt 1.0) y)) (cbrt (hypot (sqrt 1.0) y)))) (* x (sqrt (hypot (sqrt 1.0) y))) x (* (cbrt x) (hypot (sqrt 1.0) y)) (* (sqrt x) (hypot (sqrt 1.0) y)) (* x (hypot (sqrt 1.0) y)) (* x (fma y y 1.0)) (* x (fma y y 1.0)) (* x (fma y y 1.0)) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (fma (/ 1/2 y) 1.0 (- y (/ (* (* 1.0 1.0) 1/8) (pow y 3)))) (- (- (/ (* (* 1.0 1.0) 1/8) (pow y 3)) y) (/ (* 1/2 1.0) y)) (fma 1/2 (/ (pow y 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3))))) (fma (/ 1/2 y) 1.0 (- y (/ (* (* 1.0 1.0) 1/8) (pow y 3)))) (- (- (/ (* (* 1.0 1.0) 1/8) (pow y 3)) y) (/ (* 1/2 1.0) y)) (* x (sqrt 1.0)) (fma (/ x (/ y 1.0)) 1/2 (* x y)) (- (* (- 1/2) (/ x (/ y 1.0))) (* x y)) 2.687 * * * [progress]: adding candidates to table 2.883 * [progress]: [Phase 3 of 3] Extracting. 2.883 * * [regime]: Finding splitpoints for: (# # # # # #) 2.884 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 2.884 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.907 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 2.933 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # #) 2.958 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.986 * * * * [regimes]: Trying to branch on x from (# # # # # #) 3.013 * * * [regime]: Found split indices: #