6.101 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.029 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.031 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.033 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.035 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.035 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.049 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 1.0 in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 1.0 in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.074 * [taylor]: Taking taylor expansion of -1 in x 0.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.074 * [taylor]: Taking taylor expansion of -1 in x 0.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.075 * [taylor]: Taking taylor expansion of -1 in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 1.0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * * * [progress]: simplifying candidates 0.103 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.106 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.109 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.123 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.179 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.180 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.180 * * * [progress]: adding candidates to table 0.215 * * [progress]: iteration 2 / 4 0.215 * * * [progress]: picking best candidate 0.220 * * * * [pick]: Picked # 0.220 * * * [progress]: localizing error 0.231 * * * [progress]: generating rewritten candidates 0.231 * * * * [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) 0.254 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.264 * * * [progress]: generating series expansions 0.264 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.264 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.264 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 1.0 in y 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 0.279 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of 1.0 in y 0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 1.0 in y 0.293 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of 1.0 in y 0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of 1.0 in y 0.310 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.310 * [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 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.312 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 1.0 in y 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * [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 0.339 * [taylor]: Taking taylor expansion of 1.0 in y 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 1.0 in y 0.352 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.352 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.352 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of 1.0 in y 0.352 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 1.0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of 1.0 in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 1.0 in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [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 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.376 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.376 * [taylor]: Taking taylor expansion of -1 in y 0.376 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of 1.0 in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.377 * [taylor]: Taking taylor expansion of -1 in x 0.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.378 * [taylor]: Taking taylor expansion of -1 in x 0.378 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.378 * [taylor]: Taking taylor expansion of -1 in y 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of 1.0 in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.408 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.408 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.408 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.408 * [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 0.410 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [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 0.417 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [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 0.420 * [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 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [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 0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.422 * [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 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.438 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.438 * [taylor]: Taking taylor expansion of -1 in y 0.438 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 1.0 in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.441 * [taylor]: Taking taylor expansion of -1 in x 0.441 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of -1 in x 0.442 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.443 * [taylor]: Taking taylor expansion of -1 in y 0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of 1.0 in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.465 * * * [progress]: simplifying candidates 0.467 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x 1) (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.472 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.478 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.505 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.516 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (+ (pow 1.0 3) (pow (* y y) 3)) x) (+ (* (pow y 2) (- (pow y 2) 1.0)) (* 1.0 1.0)) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (* (* y y) (* y y))) x) (- 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (log (* x (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) x) (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.517 * * * [progress]: adding candidates to table 0.704 * * [progress]: iteration 3 / 4 0.704 * * * [progress]: picking best candidate 0.708 * * * * [pick]: Picked # 0.708 * * * [progress]: localizing error 0.721 * * * [progress]: generating rewritten candidates 0.721 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.723 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.726 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.728 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.754 * * * [progress]: generating series expansions 0.754 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.754 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.754 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.754 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.754 * [taylor]: Taking taylor expansion of 1.0 in y 0.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.756 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of 1.0 in y 0.769 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.770 * [taylor]: Taking taylor expansion of 1.0 in y 0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.772 * [taylor]: Taking taylor expansion of 1.0 in y 0.782 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of 1.0 in y 0.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of 1.0 in y 0.800 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.801 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.801 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.801 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of 1.0 in y 0.802 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.802 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.802 * [taylor]: Taking taylor expansion of 1.0 in y 0.815 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of 1.0 in y 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 1.0 in y 0.829 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of 1.0 in y 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of 1.0 in y 0.842 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.842 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.842 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of 1.0 in y 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.844 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.844 * [taylor]: Taking taylor expansion of 1.0 in y 0.857 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of 1.0 in y 0.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of 1.0 in y 0.871 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of 1.0 in y 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of 1.0 in y 0.891 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.892 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.892 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.892 * [taylor]: Taking taylor expansion of x in y 0.892 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.892 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of 1.0 in y 0.893 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.893 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.893 * [taylor]: Taking taylor expansion of y in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.894 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.895 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.895 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.895 * [taylor]: Taking taylor expansion of 1.0 in y 0.898 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.901 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.901 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of 1.0 in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of 1.0 in y 0.910 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.924 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.924 * [taylor]: Taking taylor expansion of -1 in y 0.924 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of 1.0 in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.926 * [taylor]: Taking taylor expansion of x in y 0.926 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.926 * [taylor]: Taking taylor expansion of -1 in x 0.926 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.928 * [taylor]: Taking taylor expansion of -1 in x 0.928 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.928 * [taylor]: Taking taylor expansion of y in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.929 * [taylor]: Taking taylor expansion of -1 in y 0.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of 1.0 in y 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.937 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.951 * [taylor]: Taking taylor expansion of 0 in y 0.952 * * * [progress]: simplifying candidates 0.953 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x x) x) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt 1))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt 1)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) 1) (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ 1.0 (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.959 * * [simplify]: iteration 0 : 298 enodes (cost 736 ) 0.965 * * [simplify]: iteration 1 : 1063 enodes (cost 653 ) 0.988 * * [simplify]: iteration 2 : 4704 enodes (cost 639 ) 1.079 * * [simplify]: iteration 3 : 5001 enodes (cost 639 ) 1.082 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (pow (exp x) (sqrt (+ 1.0 (* y y)))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) x) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) x) (sqrt (- 1.0 (* y y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* x (* (sqrt (sqrt (+ 1.0 (* y y)))) (fabs (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 1.083 * * * [progress]: adding candidates to table 1.320 * * [progress]: iteration 4 / 4 1.320 * * * [progress]: picking best candidate 1.323 * * * * [pick]: Picked # 1.323 * * * [progress]: localizing error 1.331 * * * [progress]: generating rewritten candidates 1.331 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.332 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.334 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.335 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.354 * * * [progress]: generating series expansions 1.354 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.355 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 1.355 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.355 * [taylor]: Taking taylor expansion of 1/3 in y 1.355 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.355 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.355 * [taylor]: Taking taylor expansion of 1.0 in y 1.360 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.360 * [taylor]: Taking taylor expansion of 1/3 in y 1.360 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.360 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.360 * [taylor]: Taking taylor expansion of y in y 1.361 * [taylor]: Taking taylor expansion of 1.0 in y 1.421 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.421 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.421 * [taylor]: Taking taylor expansion of 1/3 in y 1.421 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.421 * [taylor]: Taking taylor expansion of y in y 1.422 * [taylor]: Taking taylor expansion of 1.0 in y 1.423 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.423 * [taylor]: Taking taylor expansion of 1/3 in y 1.423 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.423 * [taylor]: Taking taylor expansion of 1.0 in y 1.474 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.474 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.474 * [taylor]: Taking taylor expansion of 1/3 in y 1.474 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.474 * [taylor]: Taking taylor expansion of y in y 1.475 * [taylor]: Taking taylor expansion of 1.0 in y 1.475 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.475 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.475 * [taylor]: Taking taylor expansion of 1/3 in y 1.475 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.476 * [taylor]: Taking taylor expansion of y in y 1.476 * [taylor]: Taking taylor expansion of 1.0 in y 1.526 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.526 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 1.526 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.526 * [taylor]: Taking taylor expansion of 1/3 in y 1.526 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.526 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.527 * [taylor]: Taking taylor expansion of y in y 1.527 * [taylor]: Taking taylor expansion of 1.0 in y 1.529 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.529 * [taylor]: Taking taylor expansion of 1/3 in y 1.529 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.529 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.529 * [taylor]: Taking taylor expansion of y in y 1.529 * [taylor]: Taking taylor expansion of 1.0 in y 1.595 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.595 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.595 * [taylor]: Taking taylor expansion of 1/3 in y 1.595 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.595 * [taylor]: Taking taylor expansion of y in y 1.596 * [taylor]: Taking taylor expansion of 1.0 in y 1.597 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.597 * [taylor]: Taking taylor expansion of 1/3 in y 1.597 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.597 * [taylor]: Taking taylor expansion of y in y 1.597 * [taylor]: Taking taylor expansion of 1.0 in y 1.641 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.642 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.642 * [taylor]: Taking taylor expansion of 1/3 in y 1.642 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.642 * [taylor]: Taking taylor expansion of y in y 1.642 * [taylor]: Taking taylor expansion of 1.0 in y 1.643 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.643 * [taylor]: Taking taylor expansion of 1/3 in y 1.643 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.643 * [taylor]: Taking taylor expansion of y in y 1.644 * [taylor]: Taking taylor expansion of 1.0 in y 1.694 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.694 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 1.694 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.694 * [taylor]: Taking taylor expansion of 1/3 in y 1.694 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.694 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.694 * [taylor]: Taking taylor expansion of y in y 1.694 * [taylor]: Taking taylor expansion of 1.0 in y 1.696 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 1.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 1.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 1.696 * [taylor]: Taking taylor expansion of 1/3 in y 1.696 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.696 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.696 * [taylor]: Taking taylor expansion of y in y 1.696 * [taylor]: Taking taylor expansion of 1.0 in y 1.763 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.763 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.763 * [taylor]: Taking taylor expansion of 1/3 in y 1.763 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.763 * [taylor]: Taking taylor expansion of y in y 1.764 * [taylor]: Taking taylor expansion of 1.0 in y 1.764 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.764 * [taylor]: Taking taylor expansion of 1/3 in y 1.764 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.765 * [taylor]: Taking taylor expansion of y in y 1.765 * [taylor]: Taking taylor expansion of 1.0 in y 1.810 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 1.810 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.810 * [taylor]: Taking taylor expansion of 1/3 in y 1.810 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.810 * [taylor]: Taking taylor expansion of y in y 1.810 * [taylor]: Taking taylor expansion of 1.0 in y 1.811 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 1.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.811 * [taylor]: Taking taylor expansion of 1/3 in y 1.811 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.811 * [taylor]: Taking taylor expansion of y in y 1.812 * [taylor]: Taking taylor expansion of 1.0 in y 1.862 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.862 * [approximate]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in (x y) around 0 1.862 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in y 1.862 * [taylor]: Taking taylor expansion of x in y 1.862 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in y 1.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in y 1.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in y 1.862 * [taylor]: Taking taylor expansion of 1/3 in y 1.862 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in y 1.862 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in y 1.862 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of 1.0 in y 1.865 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in x 1.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in x 1.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in x 1.865 * [taylor]: Taking taylor expansion of 1/3 in x 1.865 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in x 1.865 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in x 1.865 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.865 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.865 * [taylor]: Taking taylor expansion of y in x 1.865 * [taylor]: Taking taylor expansion of 1.0 in x 1.865 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 2) 1/3)) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in x 1.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in x 1.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in x 1.866 * [taylor]: Taking taylor expansion of 1/3 in x 1.866 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in x 1.866 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in x 1.866 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.866 * [taylor]: Taking taylor expansion of y in x 1.866 * [taylor]: Taking taylor expansion of 1.0 in x 1.866 * [taylor]: Taking taylor expansion of 0 in y 1.869 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 2) 1/3) in y 1.869 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow y 2) 1.0) 2)))) in y 1.869 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow y 2) 1.0) 2))) in y 1.869 * [taylor]: Taking taylor expansion of 1/3 in y 1.869 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 2)) in y 1.869 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 2) in y 1.869 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.869 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.869 * [taylor]: Taking taylor expansion of y in y 1.869 * [taylor]: Taking taylor expansion of 1.0 in y 1.876 * [taylor]: Taking taylor expansion of 0 in y 1.884 * [taylor]: Taking taylor expansion of 0 in y 1.885 * [approximate]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in (x y) around 0 1.885 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in y 1.885 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 1.885 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 1.885 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 1.885 * [taylor]: Taking taylor expansion of 1/3 in y 1.885 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 1.885 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.885 * [taylor]: Taking taylor expansion of y in y 1.886 * [taylor]: Taking taylor expansion of 1.0 in y 1.887 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.887 * [taylor]: Taking taylor expansion of x in y 1.887 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 1.887 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 1.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 1.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 1.887 * [taylor]: Taking taylor expansion of 1/3 in x 1.887 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.887 * [taylor]: Taking taylor expansion of y in x 1.887 * [taylor]: Taking taylor expansion of 1.0 in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 1.888 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 1.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 1.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 1.888 * [taylor]: Taking taylor expansion of 1/3 in x 1.888 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 1.888 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 1.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.888 * [taylor]: Taking taylor expansion of y in x 1.888 * [taylor]: Taking taylor expansion of 1.0 in x 1.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.890 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 1.890 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 1.890 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 1.890 * [taylor]: Taking taylor expansion of 1/3 in y 1.890 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 1.890 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.890 * [taylor]: Taking taylor expansion of y in y 1.890 * [taylor]: Taking taylor expansion of 1.0 in y 1.895 * [taylor]: Taking taylor expansion of 0 in y 1.903 * [taylor]: Taking taylor expansion of 0 in y 1.926 * [taylor]: Taking taylor expansion of 0 in y 1.943 * [taylor]: Taking taylor expansion of 0 in y 1.944 * [approximate]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in (x y) around 0 1.944 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in y 1.944 * [taylor]: Taking taylor expansion of -1 in y 1.944 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in y 1.944 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 1.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 1.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 1.944 * [taylor]: Taking taylor expansion of 1/3 in y 1.944 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 1.944 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.944 * [taylor]: Taking taylor expansion of y in y 1.944 * [taylor]: Taking taylor expansion of 1.0 in y 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.946 * [taylor]: Taking taylor expansion of x in y 1.946 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in x 1.946 * [taylor]: Taking taylor expansion of -1 in x 1.946 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 1.946 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 1.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 1.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 1.946 * [taylor]: Taking taylor expansion of 1/3 in x 1.946 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 1.946 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 1.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.946 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.946 * [taylor]: Taking taylor expansion of y in x 1.946 * [taylor]: Taking taylor expansion of 1.0 in x 1.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.947 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x))) in x 1.947 * [taylor]: Taking taylor expansion of -1 in x 1.947 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) (/ 1 x)) in x 1.947 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in x 1.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in x 1.947 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in x 1.947 * [taylor]: Taking taylor expansion of 1/3 in x 1.947 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in x 1.947 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in x 1.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.947 * [taylor]: Taking taylor expansion of y in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3)) in y 1.948 * [taylor]: Taking taylor expansion of -1 in y 1.949 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 2) 1/3) in y 1.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)))) in y 1.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow y 2)) 1.0) 2))) in y 1.949 * [taylor]: Taking taylor expansion of 1/3 in y 1.949 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 2)) in y 1.949 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 2) in y 1.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.949 * [taylor]: Taking taylor expansion of y in y 1.949 * [taylor]: Taking taylor expansion of 1.0 in y 1.954 * [taylor]: Taking taylor expansion of 0 in y 1.963 * [taylor]: Taking taylor expansion of 0 in y 1.983 * [taylor]: Taking taylor expansion of 0 in y 2.007 * [taylor]: Taking taylor expansion of 0 in y 2.008 * * * [progress]: simplifying candidates 2.009 * [simplify]: Simplifying using # : (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (+ (log x) (+ (log (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))))) (+ (log x) (log (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (log (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (exp (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* (* x x) x) (* (+ 1.0 (* y y)) (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* x (cbrt (+ 1.0 (* y y)))) (* (cbrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (sqrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (* x (pow 1.0 1/3)) (+ (* 0.6666666666666666 (* x (pow (/ 1 (pow y 2)) 1/3))) (* x (pow (pow y 4) 1/3))) (+ (* 0.6666666666666666 (* x (pow (/ 1 (pow y 2)) 1/3))) (* x (pow (pow y 4) 1/3))) 2.015 * * [simplify]: iteration 0 : 299 enodes (cost 693 ) 2.020 * * [simplify]: iteration 1 : 951 enodes (cost 634 ) 2.037 * * [simplify]: iteration 2 : 3234 enodes (cost 616 ) 2.105 * * [simplify]: iteration 3 : 5002 enodes (cost 616 ) 2.109 * [simplify]: Simplified to: (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (+ (* 2 (log (cbrt (+ 1.0 (* y y))))) (log x)) (exp (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (* (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (+ 1.0 (* y y)) (* (+ 1.0 (* y y)) (pow x 3))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (sqrt (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* (sqrt x) (cbrt (+ 1.0 (* y y)))) (* x (cbrt (+ 1.0 (* y y)))) (* (cbrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* (sqrt x) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ 1.0 (* y y))))) (* x (* (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (+ 1.0 (* y y))))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (+ (* (pow y 4) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 (pow y 2)) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (- (+ (pow (/ -1 y) -2/3) (* 0.3333333333333333 (pow (/ 1 (pow y 4)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow y 10)) 1/3))) (* x (pow 1.0 1/3)) (* x (+ (pow (pow y 4) 1/3) (* (pow (/ 1 (pow y 2)) 1/3) 0.6666666666666666))) (* x (+ (pow (pow y 4) 1/3) (* (pow (/ 1 (pow y 2)) 1/3) 0.6666666666666666))) 2.109 * * * [progress]: adding candidates to table 2.343 * [progress]: [Phase 3 of 3] Extracting. 2.343 * * [regime]: Finding splitpoints for: (# # # # #) 2.344 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 2.344 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 2.358 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # #) 2.375 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # #) 2.391 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.410 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.426 * * * [regime]: Found split indices: #