41.856 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.020 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.040 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.045 * [taylor]: Taking taylor expansion of -1 in y 0.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.045 * [taylor]: Taking taylor expansion of -1 in x 0.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.046 * [taylor]: Taking taylor expansion of -1 in x 0.046 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.046 * [taylor]: Taking taylor expansion of -1 in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * * * [progress]: simplifying candidates 0.050 * [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)) 0.053 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.056 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.070 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.125 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.126 * [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))) 0.127 * * * [progress]: adding candidates to table 0.156 * * [progress]: iteration 2 / 4 0.156 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.175 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.177 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.180 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.190 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.197 * * * [progress]: generating series expansions 0.197 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.198 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.198 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of 1.0 in y 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.198 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of 1.0 in y 0.199 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of 1.0 in y 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of 1.0 in y 0.200 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 1.0 in y 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 1.0 in y 0.201 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.201 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.201 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 1.0 in y 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.201 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 1.0 in y 0.202 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of 1.0 in y 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of 1.0 in y 0.203 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of 1.0 in y 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of 1.0 in y 0.204 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.204 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 1.0 in y 0.205 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 1.0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.206 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of 1.0 in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of 1.0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.209 * [taylor]: Taking taylor expansion of -1 in y 0.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of 1.0 in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.210 * [taylor]: Taking taylor expansion of -1 in x 0.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.211 * [taylor]: Taking taylor expansion of -1 in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 1.0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.214 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.214 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 1.0 in y 0.214 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.214 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.215 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.215 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 1.0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.216 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of 1.0 in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of 1.0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.220 * [taylor]: Taking taylor expansion of -1 in y 0.220 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of 1.0 in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.220 * [taylor]: Taking taylor expansion of -1 in x 0.220 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of -1 in x 0.221 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.222 * [taylor]: Taking taylor expansion of -1 in y 0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of 1.0 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.225 * * * [progress]: simplifying candidates 0.226 * [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)) (neg (+ (* 0.5 (/ x y)) (* x y))) 0.231 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.237 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.261 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.264 * [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)) (neg (+ (* 0.5 (/ x y)) (* x y))) 0.265 * * * [progress]: adding candidates to table 0.386 * * [progress]: iteration 3 / 4 0.386 * * * [progress]: picking best candidate 0.397 * * * * [pick]: Picked # 0.397 * * * [progress]: localizing error 0.408 * * * [progress]: generating rewritten candidates 0.408 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.410 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 0.412 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.414 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.422 * * * [progress]: generating series expansions 0.422 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.422 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.422 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.423 * [taylor]: Taking taylor expansion of 1/3 in y 0.423 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of 1.0 in y 0.423 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.423 * [taylor]: Taking taylor expansion of 1/3 in y 0.423 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of 1.0 in y 0.426 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.426 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.426 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.426 * [taylor]: Taking taylor expansion of 1/3 in y 0.426 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 1.0 in y 0.426 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.426 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.426 * [taylor]: Taking taylor expansion of 1/3 in y 0.426 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 1.0 in y 0.430 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.430 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.430 * [taylor]: Taking taylor expansion of 1/3 in y 0.430 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of 1.0 in y 0.430 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.430 * [taylor]: Taking taylor expansion of 1/3 in y 0.430 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of 1.0 in y 0.434 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 0.434 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.434 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.434 * [taylor]: Taking taylor expansion of 1/3 in y 0.434 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.434 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 1.0 in y 0.434 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.434 * [taylor]: Taking taylor expansion of 1/3 in y 0.434 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.434 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 1.0 in y 0.437 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.437 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.437 * [taylor]: Taking taylor expansion of 1/3 in y 0.437 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 1.0 in y 0.438 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.438 * [taylor]: Taking taylor expansion of 1/3 in y 0.438 * [taylor]: Taking taylor expansion of (log (+ (/ 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 0.438 * [taylor]: Taking taylor expansion of 1.0 in y 0.441 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.441 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.441 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.441 * [taylor]: Taking taylor expansion of 1/3 in y 0.441 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of 1.0 in y 0.441 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.441 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.442 * [taylor]: Taking taylor expansion of 1/3 in y 0.442 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of 1.0 in y 0.445 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.445 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.445 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of 1.0 in y 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.445 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of 1.0 in y 0.446 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 1.0 in y 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 1.0 in y 0.447 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of 1.0 in y 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of 1.0 in y 0.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.448 * [approximate]: Taking taylor expansion of (* (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.448 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) (sqrt (+ (pow y 2) 1.0))) in y 0.448 * [taylor]: Taking taylor expansion of (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in y 0.449 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.449 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of 1.0 in y 0.449 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) (sqrt (+ (pow y 2) 1.0))) in x 0.449 * [taylor]: Taking taylor expansion of (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in x 0.449 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.449 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (* (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) (sqrt (+ (pow y 2) 1.0))) in x 0.449 * [taylor]: Taking taylor expansion of (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in x 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.450 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) 1.0)) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in y 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.450 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of 1.0 in y 0.450 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in (x y) around 0 0.452 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in y 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of 1.0 in y 0.453 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in y 0.453 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in x 0.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in x 0.453 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in x 0.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in x 0.454 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 0.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of 1.0 in y 0.455 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x))) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x))) in y 0.462 * [taylor]: Taking taylor expansion of -1 in y 0.462 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in y 0.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 1.0 in y 0.462 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in y 0.462 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x))) in x 0.462 * [taylor]: Taking taylor expansion of -1 in x 0.463 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in x 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in x 0.463 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x))) in x 0.463 * [taylor]: Taking taylor expansion of -1 in x 0.463 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x)) in x 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) x) in x 0.464 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)))) in y 0.465 * [taylor]: Taking taylor expansion of -1 in y 0.465 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of 1.0 in y 0.465 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.470 * * * [progress]: simplifying candidates 0.471 * [simplify]: Simplifying using # : (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (cbrt (+ 1.0 (* y y))) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (+ (log x) (+ (log (sqrt (+ 1.0 (* y y)))) (log (fabs (cbrt (+ 1.0 (* y y))))))) (+ (log x) (log (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (log (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (exp (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* (* (* x x) x) (* (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* (fabs (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))) (fabs (cbrt (+ 1.0 (* y y))))))) (* (* (* x x) x) (* (* (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))))) (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* (* (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (sqrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (sqrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt x) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (- (+ (* 0.05555555555555555 (* (pow y 4) (pow 1.0 1/3))) (+ (pow 1.0 1/3) (* 0.3333333333333333 (* (pow y 2) (pow 1.0 1/3))))) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 4)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 4)))) (- (+ (* 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)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 4)))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2))) (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y))))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 4)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* x (* (sqrt 1.0) (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (+ (* x (* y (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.5 (/ (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) y))) (neg (+ (* x (* y (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.5 (/ (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) y)))) 0.477 * * [simplify]: iteration 0 : 385 enodes (cost 703 ) 0.483 * * [simplify]: iteration 1 : 1394 enodes (cost 643 ) 0.506 * * [simplify]: iteration 2 : 5001 enodes (cost 631 ) 0.509 * [simplify]: Simplified to: (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (pow (+ (pow y 2) 1.0) 1/3) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (pow (+ (pow y 2) 1.0) 1/3) (cbrt (+ (pow 1.0 3) (pow (* y y) 3))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (cbrt (- 1.0 (* y y))) (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))) (cbrt (cbrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (log (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (log (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (log (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (exp (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (pow (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) 3) (pow (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) 3) (* (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))))) (cbrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (pow (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) 3) (sqrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (sqrt (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y))))))) (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt x) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt x) (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (fabs (cbrt (+ 1.0 (* y y)))))) (* x (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (+ (* (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow y 4)) (* 0.3333333333333333 (pow y 2)))) (- (pow 1.0 1/3) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (pow (exp 1/3) (+ (* -2 (log (/ 1 y))) 0)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2))))) (- (pow (exp 1/3) (+ (* -2 (log (/ -1 y))) 0)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2))))) (+ (* (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow y 4)) (* 0.3333333333333333 (pow y 2)))) (- (pow 1.0 1/3) (* 1/6 (* (pow y 4) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (pow (exp 1/3) (+ (* -2 (log (/ 1 y))) 0)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ 1 y)))))) (pow y 2))))) (- (pow (exp 1/3) (+ (* -2 (log (/ -1 y))) 0)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log 1) (* 2 (log (/ -1 y)))))) (pow y 2))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* x (* (sqrt 1.0) (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (+ (* x (* y (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.5 (/ (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) y))) (neg (+ (* x (* y (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.5 (/ (* x (fabs (pow (+ (pow y 2) 1.0) 1/3))) y)))) 0.510 * * * [progress]: adding candidates to table 0.682 * * [progress]: iteration 4 / 4 0.682 * * * [progress]: picking best candidate 0.689 * * * * [pick]: Picked # 0.689 * * * [progress]: localizing error 0.702 * * * [progress]: generating rewritten candidates 0.702 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.734 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.744 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.756 * * * [progress]: generating series expansions 0.756 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.756 * [approximate]: Taking taylor expansion of (/ (* x (+ (pow y 6) 1.0)) (- (+ (pow y 4) 1.0) (* 1.0 (pow y 2)))) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (/ (* x (+ (pow y 6) 1.0)) (- (+ (pow y 4) 1.0) (* 1.0 (pow y 2)))) in y 0.756 * [taylor]: Taking taylor expansion of (* x (+ (pow y 6) 1.0)) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (+ (pow y 6) 1.0) in y 0.756 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of 1.0 in y 0.756 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) 1.0) (* 1.0 (pow y 2))) in y 0.756 * [taylor]: Taking taylor expansion of (+ (pow y 4) 1.0) in y 0.756 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.757 * [taylor]: Taking taylor expansion of 1.0 in y 0.757 * [taylor]: Taking taylor expansion of (* 1.0 (pow y 2)) in y 0.757 * [taylor]: Taking taylor expansion of 1.0 in y 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.757 * [taylor]: Taking taylor expansion of (/ (* x (+ (pow y 6) 1.0)) (- (+ (pow y 4) 1.0) (* 1.0 (pow y 2)))) in x 0.757 * [taylor]: Taking taylor expansion of (* x (+ (pow y 6) 1.0)) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (+ (pow y 6) 1.0) in x 0.757 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) 1.0) (* 1.0 (pow y 2))) in x 0.757 * [taylor]: Taking taylor expansion of (+ (pow y 4) 1.0) in x 0.757 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (* 1.0 (pow y 2)) in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of (/ (* x (+ (pow y 6) 1.0)) (- (+ (pow y 4) 1.0) (* 1.0 (pow y 2)))) in x 0.758 * [taylor]: Taking taylor expansion of (* x (+ (pow y 6) 1.0)) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (+ (pow y 6) 1.0) in x 0.758 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) 1.0) (* 1.0 (pow y 2))) in x 0.758 * [taylor]: Taking taylor expansion of (+ (pow y 4) 1.0) in x 0.758 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (* 1.0 (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.759 * [taylor]: Taking taylor expansion of (/ (+ (pow y 6) 1.0) (- (+ (pow y 4) 1.0) (* 1.0 (pow y 2)))) in y 0.759 * [taylor]: Taking taylor expansion of (+ (pow y 6) 1.0) in y 0.759 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of 1.0 in y 0.760 * [taylor]: Taking taylor expansion of (- (+ (pow y 4) 1.0) (* 1.0 (pow y 2))) in y 0.760 * [taylor]: Taking taylor expansion of (+ (pow y 4) 1.0) in y 0.760 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of 1.0 in y 0.760 * [taylor]: Taking taylor expansion of (* 1.0 (pow y 2)) in y 0.760 * [taylor]: Taking taylor expansion of 1.0 in y 0.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.763 * [taylor]: Taking taylor expansion of 0 in y 0.765 * [taylor]: Taking taylor expansion of 0 in y 0.766 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))))) in (x y) around 0 0.766 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))))) in y 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.766 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of 1.0 in y 0.766 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))) in y 0.766 * [taylor]: Taking taylor expansion of x in y 0.766 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))) in y 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) 1.0) in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.766 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of 1.0 in y 0.766 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.766 * [taylor]: Taking taylor expansion of 1.0 in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))))) in x 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 0.766 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.766 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))) in x 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) 1.0) in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.767 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.767 * [taylor]: Taking taylor expansion of y in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.767 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.767 * [taylor]: Taking taylor expansion of y in x 0.768 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))))) in x 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 0.768 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.768 * [taylor]: Taking taylor expansion of y in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))) in x 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) 1.0) in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.769 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.769 * [taylor]: Taking taylor expansion of y in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.769 * [taylor]: Taking taylor expansion of y in x 0.770 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))) in y 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.771 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of 1.0 in y 0.771 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))) in y 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) 1.0) in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.771 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of 1.0 in y 0.771 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.771 * [taylor]: Taking taylor expansion of 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 0.771 * [taylor]: Taking taylor expansion of y in y 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.774 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [taylor]: Taking taylor expansion of 0 in y 0.780 * [taylor]: Taking taylor expansion of 0 in y 0.783 * [taylor]: Taking taylor expansion of 0 in y 0.784 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))))) in (x y) around 0 0.784 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))))) in y 0.784 * [taylor]: Taking taylor expansion of -1 in y 0.784 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))))) in y 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.784 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of 1.0 in y 0.784 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))) in y 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) 1.0) in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.784 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of 1.0 in y 0.784 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.784 * [taylor]: Taking taylor expansion of 1.0 in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))))) in x 0.784 * [taylor]: Taking taylor expansion of -1 in x 0.784 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))))) in x 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 0.784 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.784 * [taylor]: Taking taylor expansion of y in x 0.784 * [taylor]: Taking taylor expansion of 1.0 in x 0.784 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))) in x 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) 1.0) in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.785 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.785 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.785 * [taylor]: Taking taylor expansion of y in x 0.786 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))))) in x 0.786 * [taylor]: Taking taylor expansion of -1 in x 0.786 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))))) in x 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 0.786 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))) in x 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) 1.0) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.787 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 6)) 1.0) (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))))) in y 0.788 * [taylor]: Taking taylor expansion of -1 in y 0.788 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2))))) in y 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.789 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of 1.0 in y 0.789 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 4)) 1.0) (* 1.0 (/ 1 (pow y 2)))) in y 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 4)) 1.0) in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.789 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of 1.0 in y 0.789 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.789 * [taylor]: Taking taylor expansion of 1.0 in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.805 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.805 * [approximate]: Taking taylor expansion of (- (pow y 4) (* 1.0 (pow y 2))) in (y) around 0 0.805 * [taylor]: Taking taylor expansion of (- (pow y 4) (* 1.0 (pow y 2))) in y 0.805 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of (* 1.0 (pow y 2)) in y 0.805 * [taylor]: Taking taylor expansion of 1.0 in y 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (- (pow y 4) (* 1.0 (pow y 2))) in y 0.806 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of (* 1.0 (pow y 2)) in y 0.806 * [taylor]: Taking taylor expansion of 1.0 in y 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.807 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 1.0 (/ 1 (pow y 2)))) in (y) around 0 0.807 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 1.0 (/ 1 (pow y 2)))) in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.807 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.808 * [taylor]: Taking taylor expansion of 1.0 in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 1.0 (/ 1 (pow y 2)))) in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.808 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.808 * [taylor]: Taking taylor expansion of 1.0 in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.810 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 1.0 (/ 1 (pow y 2)))) in (y) around 0 0.810 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 1.0 (/ 1 (pow y 2)))) in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.810 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.810 * [taylor]: Taking taylor expansion of 1.0 in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.811 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4)) (* 1.0 (/ 1 (pow y 2)))) in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.811 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow y 2))) in y 0.811 * [taylor]: Taking taylor expansion of 1.0 in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.813 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.813 * [approximate]: Taking taylor expansion of (* x (+ (pow y 6) 1.0)) in (x y) around 0 0.813 * [taylor]: Taking taylor expansion of (* x (+ (pow y 6) 1.0)) in y 0.813 * [taylor]: Taking taylor expansion of x in y 0.813 * [taylor]: Taking taylor expansion of (+ (pow y 6) 1.0) in y 0.813 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of 1.0 in y 0.813 * [taylor]: Taking taylor expansion of (* x (+ (pow y 6) 1.0)) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (+ (pow y 6) 1.0) in x 0.813 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of (* x (+ (pow y 6) 1.0)) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (+ (pow y 6) 1.0) in x 0.814 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.814 * [taylor]: Taking taylor expansion of (+ (pow y 6) 1.0) in y 0.814 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of 1.0 in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) x) in (x y) around 0 0.815 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) x) in y 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in y 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.815 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of 1.0 in y 0.815 * [taylor]: Taking taylor expansion of x in y 0.815 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) x) in x 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 0.815 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) x) in x 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 0.816 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.816 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of 1.0 in y 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.825 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 6)) 1.0) x)) in (x y) around 0 0.825 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 6)) 1.0) x)) in y 0.826 * [taylor]: Taking taylor expansion of -1 in y 0.826 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) x) in y 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of 1.0 in y 0.826 * [taylor]: Taking taylor expansion of x in y 0.826 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 6)) 1.0) x)) in x 0.826 * [taylor]: Taking taylor expansion of -1 in x 0.826 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) x) in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 6)) 1.0) x)) in x 0.826 * [taylor]: Taking taylor expansion of -1 in x 0.826 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 6)) 1.0) x) in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 6) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of 1.0 in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 6)) 1.0)) in y 0.827 * [taylor]: Taking taylor expansion of -1 in y 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 6)) 1.0) in y 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.827 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of 1.0 in y 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.831 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [taylor]: Taking taylor expansion of 0 in y 0.837 * [taylor]: Taking taylor expansion of 0 in y 0.837 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.837 * [approximate]: Taking taylor expansion of (pow y 4) in (y) around 0 0.837 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.838 * [approximate]: Taking taylor expansion of (/ 1 (pow y 4)) in (y) around 0 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.838 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.838 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.839 * [approximate]: Taking taylor expansion of (/ 1 (pow y 4)) in (y) around 0 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.839 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.839 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.840 * * * [progress]: simplifying candidates 0.842 * [simplify]: Simplifying using # : (- (+ (log x) (log (+ (pow 1.0 3) (pow y 6)))) (log (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (- (log (* x (+ (pow 1.0 3) (pow y 6)))) (log (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (log (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (exp (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (/ (* (* (* x x) x) (* (* (+ (pow 1.0 3) (pow y 6)) (+ (pow 1.0 3) (pow y 6))) (+ (pow 1.0 3) (pow y 6)))) (* (* (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (/ (* (* (* x (+ (pow 1.0 3) (pow y 6))) (* x (+ (pow 1.0 3) (pow y 6)))) (* x (+ (pow 1.0 3) (pow y 6)))) (* (* (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (cbrt (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (cbrt (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (cbrt (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (neg (* x (+ (pow 1.0 3) (pow y 6)))) (neg (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (/ x (* (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (/ (+ (pow 1.0 3) (pow y 6)) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (/ x (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (/ (+ (pow 1.0 3) (pow y 6)) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (/ x 1) (/ (+ (pow 1.0 3) (pow y 6)) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (/ 1 (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (/ (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (* x (+ (pow 1.0 3) (pow y 6)))) (/ (* x (+ (pow 1.0 3) (pow y 6))) (* (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (/ (* x (+ (pow 1.0 3) (pow y 6))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (/ (* x (+ (pow 1.0 3) (pow y 6))) 1) (/ (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (+ (pow 1.0 3) (pow y 6))) (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (pow (* 1.0 1.0) 3) (pow (- (* (* y y) (* y y)) (* 1.0 (* y y))) 3))) (/ (* x (+ (pow 1.0 3) (pow y 6))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (- (* (* y y) (* y y)) (* 1.0 (* y y))) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (+ (* (pow 1.0 3) (pow 1.0 3)) (- (* (pow y 6) (pow y 6)) (* (pow 1.0 3) (pow y 6))))) (* (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (- (pow 1.0 3) (pow y 6))) (/ (exp (* (* y y) (* y y))) (exp (* 1.0 (* y y)))) (log (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (exp (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (* (cbrt (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (cbrt (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (* (* (- (* (* y y) (* y y)) (* 1.0 (* y y))) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (sqrt (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (sqrt (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (- (pow (* (* y y) (* y y)) 3) (pow (* 1.0 (* y y)) 3)) (+ (* (* (* y y) (* y y)) (* (* y y) (* y y))) (+ (* (* 1.0 (* y y)) (* 1.0 (* y y))) (* (* (* y y) (* y y)) (* 1.0 (* y y))))) (neg (* 1.0 (* y y))) (- (* (* (* y y) (* y y)) (* (* y y) (* y y))) (* (* 1.0 (* y y)) (* 1.0 (* y y)))) (+ (* (* y y) (* y y)) (* 1.0 (* y y))) (- (* y y) 1.0) (neg (* 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (+ (log x) (log (+ (pow 1.0 3) (pow y 6)))) (log (* x (+ (pow 1.0 3) (pow y 6)))) (exp (* x (+ (pow 1.0 3) (pow y 6)))) (* (* (* x x) x) (* (* (+ (pow 1.0 3) (pow y 6)) (+ (pow 1.0 3) (pow y 6))) (+ (pow 1.0 3) (pow y 6)))) (* (cbrt (* x (+ (pow 1.0 3) (pow y 6)))) (cbrt (* x (+ (pow 1.0 3) (pow y 6))))) (cbrt (* x (+ (pow 1.0 3) (pow y 6)))) (* (* (* x (+ (pow 1.0 3) (pow y 6))) (* x (+ (pow 1.0 3) (pow y 6)))) (* x (+ (pow 1.0 3) (pow y 6)))) (sqrt (* x (+ (pow 1.0 3) (pow y 6)))) (sqrt (* x (+ (pow 1.0 3) (pow y 6)))) (* (sqrt x) (sqrt (+ (pow 1.0 3) (pow y 6)))) (* (sqrt x) (sqrt (+ (pow 1.0 3) (pow y 6)))) (* x (pow 1.0 3)) (* x (pow y 6)) (* (pow 1.0 3) x) (* (pow y 6) x) (* x (* (cbrt (+ (pow 1.0 3) (pow y 6))) (cbrt (+ (pow 1.0 3) (pow y 6))))) (* x (sqrt (+ (pow 1.0 3) (pow y 6)))) (* x 1) (* x 1) (* (cbrt x) (+ (pow 1.0 3) (pow y 6))) (* (sqrt x) (+ (pow 1.0 3) (pow y 6))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (+ (pow (pow 1.0 3) 3) (pow (pow y 6) 3))) (* x (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow y 6) (pow y 6)))) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (* y y) (* y y) (* (* y y) (* y y)) (* (* y y) (* y y)) (* y y) (* y y) (* y y) (* (* y y) (* y y)) (* (* y y) (* y y)) (* y y) (+ 1 1) (+ 1 1) (+ (+ (log y) (log y)) (+ (log y) (log y))) (+ (+ (log y) (log y)) (log (* y y))) (+ (log (* y y)) (+ (log y) (log y))) (+ (log (* y y)) (log (* y y))) (log (* (* y y) (* y y))) (exp (* (* y y) (* y y))) (* (* (* (* y y) y) (* (* y y) y)) (* (* (* y y) y) (* (* y y) y))) (* (* (* (* y y) y) (* (* y y) y)) (* (* (* y y) (* y y)) (* y y))) (* (* (* (* y y) (* y y)) (* y y)) (* (* (* y y) y) (* (* y y) y))) (* (* (* (* y y) (* y y)) (* y y)) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (* y y) (* y y))) (cbrt (* (* y y) (* y y)))) (cbrt (* (* y y) (* y y))) (* (* (* (* y y) (* y y)) (* (* y y) (* y y))) (* (* y y) (* y y))) (sqrt (* (* y y) (* y y))) (sqrt (* (* y y) (* y y))) (* y y) (* y y) (* y y) (* y y) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1)) (* (* y y) y) (* y (* y y)) (+ (* 1.0 (* x (pow y 2))) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (- (pow y 4) (* 1.0 (pow y 2))) (- (pow y 4) (* 1.0 (pow y 2))) (- (pow y 4) (* 1.0 (pow y 2))) (* 1.0 x) (+ (* 1.0 x) (* x (pow y 6))) (+ (* 1.0 x) (* x (pow y 6))) (pow y 4) (pow y 4) (pow y 4) 0.849 * * [simplify]: iteration 0 : 484 enodes (cost 808 ) 0.859 * * [simplify]: iteration 1 : 2568 enodes (cost 663 ) 0.909 * * [simplify]: iteration 2 : 5002 enodes (cost 652 ) 0.913 * [simplify]: Simplified to: (+ (log (/ x (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0)))) (log (+ (pow 1.0 3) (pow y 6)))) (+ (log (/ x (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0)))) (log (+ (pow 1.0 3) (pow y 6)))) (+ (log (/ x (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0)))) (log (+ (pow 1.0 3) (pow y 6)))) (pow (exp (/ x (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0)))) (+ (pow 1.0 3) (pow y 6))) (* (pow (/ x (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0))) 3) (pow (+ (pow 1.0 3) (pow y 6)) 3)) (* (pow (/ x (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0))) 3) (pow (+ (pow 1.0 3) (pow y 6)) 3)) (* (cbrt (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (cbrt (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (cbrt (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (pow (/ x (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0))) 3) (pow (+ (pow 1.0 3) (pow y 6)) 3)) (sqrt (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (/ (* x (+ (pow 1.0 3) (pow y 6))) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (neg (* x (+ (pow 1.0 3) (pow y 6)))) (- (neg (* 1.0 1.0)) (* (pow y 2) (- (* y y) 1.0))) (/ x (* (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (/ (+ (pow 1.0 3) (pow y 6)) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (/ x (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (/ (+ (pow 1.0 3) (pow y 6)) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) x (/ (* (+ (pow 1.0 3) (pow y 6)) 1) (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0))) (/ 2 (* (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0)) 2)) (/ (/ (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0)) x) (+ (pow 1.0 3) (pow y 6))) (/ (* x (+ (pow 1.0 3) (pow y 6))) (* (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (/ (* x (+ (pow 1.0 3) (pow y 6))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* x (+ (pow 1.0 3) (pow y 6))) (/ (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0)) (* 1 (+ (pow 1.0 3) (pow y 6)))) (/ (+ (pow 1.0 3) (pow y 6)) (/ (+ (pow (- (* (* y y) (* y y)) (* 1.0 (* y y))) 3) (pow 1.0 6)) x)) (* (/ (+ (pow 1.0 3) (pow y 6)) (+ (* (* (neg (pow y 2)) (- (* y y) 1.0)) (* (pow y 2) (- (* y y) 1.0))) (pow 1.0 4))) x) (* (- (+ (pow 1.0 6) (pow y 12)) (* (pow 1.0 3) (pow y 6))) (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0))) (* (- (pow 1.0 3) (pow y 6)) (+ (* (pow y 2) (- (* y y) 1.0)) (* 1.0 1.0))) (pow (exp (pow y 2)) (- (* y y) 1.0)) (+ (log (pow y 2)) (log (- (* y y) 1.0))) (pow (exp (pow y 2)) (- (* y y) 1.0)) (* (cbrt (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (cbrt (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (pow (* (pow y 2) (- (* y y) 1.0)) 3) (sqrt (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (sqrt (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (* (pow y 6) (- (pow y 6) (pow 1.0 3))) (+ (* (pow y 6) 1.0) (* (pow y 4) (+ (pow y 4) (* 1.0 1.0)))) (neg (* 1.0 (* y y))) (* (pow y 4) (- (pow y 4) (* 1.0 1.0))) (* (pow y 2) (+ (pow y 2) 1.0)) (- (* y y) 1.0) (neg (* 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (log (* x (+ (pow 1.0 3) (pow y 6)))) (log (* x (+ (pow 1.0 3) (pow y 6)))) (exp (* x (+ (pow 1.0 3) (pow y 6)))) (pow (* x (+ (pow 1.0 3) (pow y 6))) 3) (* (cbrt (* x (+ (pow 1.0 3) (pow y 6)))) (cbrt (* x (+ (pow 1.0 3) (pow y 6))))) (cbrt (* x (+ (pow 1.0 3) (pow y 6)))) (pow (* x (+ (pow 1.0 3) (pow y 6))) 3) (sqrt (* x (+ (pow 1.0 3) (pow y 6)))) (sqrt (* x (+ (pow 1.0 3) (pow y 6)))) (* (sqrt x) (sqrt (+ (pow 1.0 3) (pow y 6)))) (* (sqrt x) (sqrt (+ (pow 1.0 3) (pow y 6)))) (* x (pow 1.0 3)) (* x (pow y 6)) (* x (pow 1.0 3)) (* x (pow y 6)) (* x (* (cbrt (+ (pow 1.0 3) (pow y 6))) (cbrt (+ (pow 1.0 3) (pow y 6))))) (* x (sqrt (+ (pow 1.0 3) (pow y 6)))) x x (* (cbrt x) (+ (pow 1.0 3) (pow y 6))) (* (sqrt x) (+ (pow 1.0 3) (pow y 6))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (+ (pow (pow 1.0 3) 3) (pow (pow y 6) 3))) (* (+ (pow 1.0 6) (neg (pow y 12))) x) 4 4 4 4 2 2 4 4 4 4 4 4 4 4 2 2 4 4 4 4 (pow y 2) (pow y 2) (pow y 4) (pow y 4) (pow y 2) (pow y 2) (pow y 2) (pow y 4) (pow y 4) (pow y 2) 2 2 (* 4 (log y)) (* 4 (log y)) (* 4 (log y)) (* 4 (log y)) (* 4 (log y)) (pow (exp (pow y 3)) y) (pow y 12) (pow y 12) (pow y 12) (pow y 12) (* (cbrt (* (* y y) (* y y))) (cbrt (* (* y y) (* y y)))) (cbrt (* (* y y) (* y y))) (pow y 12) (fabs (pow y 2)) (fabs (pow y 2)) (pow y 2) (pow y 2) (pow y 2) (pow y 2) 4 4 2 2 4 4 4 2 2 4 (pow y 3) (pow y 3) (* 1.0 (+ (* x (pow y 2)) x)) (* x (+ 1.0 (pow y 2))) (* x (+ 1.0 (pow y 2))) (* (pow y 2) (- (* y y) 1.0)) (* (pow y 2) (- (* y y) 1.0)) (* (pow y 2) (- (* y y) 1.0)) (* 1.0 x) (* x (+ (pow y 6) 1.0)) (* x (+ (pow y 6) 1.0)) (pow y 4) (pow y 4) (pow y 4) 0.914 * * * [progress]: adding candidates to table 1.063 * [progress]: [Phase 3 of 3] Extracting. 1.063 * * [regime]: Finding splitpoints for: (# # # # # #) 1.064 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.064 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.106 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 1.146 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # #) 1.210 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.262 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.306 * * * [regime]: Found split indices: #