24.167 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.095 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.097 * * [simplify]: iteration 0 : 18 enodes (cost 7 ) 0.097 * * [simplify]: iteration 1 : 18 enodes (cost 7 ) 0.097 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.110 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.113 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of 1.0 in y 0.113 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of 1.0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 1.0 in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 1.0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.122 * [taylor]: Taking taylor expansion of -1 in y 0.122 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of 1.0 in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.123 * [taylor]: Taking taylor expansion of -1 in x 0.123 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.123 * [taylor]: Taking taylor expansion of -1 in y 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of 1.0 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.127 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.127 * [approximate]: Taking taylor expansion of (+ (pow y 2) 1.0) in (y) around 0 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of 1.0 in y 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of 1.0 in y 0.127 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of 1.0 in y 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of 1.0 in y 0.129 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 1.0 in y 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 1.0 in y 0.130 * * * [progress]: simplifying candidates 0.131 * [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)))) (* (exp 1.0) (exp (* y y))) (log (+ 1.0 (* y y))) (exp (+ 1.0 (* y y))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (+ (pow 1.0 3) (pow (* y y) 3)) (+ (* 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 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) 0.184 * * [simplify]: iteration 0 : 4932 enodes (cost 307 ) 0.184 * * [simplify]: iteration 1 : 4932 enodes (cost 307 ) 0.186 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp (+ 1.0 (* y y))) x) (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 (* (+ 1.0 (* y y)) (cbrt x)) (* (+ 1.0 (* y y)) (sqrt x)) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (pow y 4))) (exp (+ 1.0 (* y y))) (log (+ 1.0 (* y y))) (exp (+ 1.0 (* y y))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (pow (+ 1.0 (* y y)) 3) (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (+ (pow 1.0 3) (pow y 6)) (+ (pow y 4) (* 1.0 (- 1.0 (* y y)))) (- (* 1.0 1.0) (pow y 4)) (- 1.0 (* y y)) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (+ 1.0 (* y y)) (+ 1.0 (* y y)) (+ 1.0 (* y y)) 0.186 * * * [progress]: adding candidates to table 0.231 * * [progress]: iteration 2 / 4 0.231 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.246 * * * [progress]: generating rewritten candidates 0.246 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.249 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.251 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.261 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.269 * * * [progress]: generating series expansions 0.269 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.270 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.270 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 1.0 in y 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.270 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 1.0 in y 0.271 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 1.0 in y 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.273 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.273 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.273 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 1.0 in y 0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.273 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 1.0 in y 0.275 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 1.0 in y 0.277 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.277 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.277 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1.0 in y 0.277 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1.0 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of 1.0 in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 1.0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.282 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.282 * [taylor]: Taking taylor expansion of -1 in y 0.282 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of 1.0 in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.282 * [taylor]: Taking taylor expansion of -1 in x 0.282 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.282 * [taylor]: Taking taylor expansion of -1 in x 0.282 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.283 * [taylor]: Taking taylor expansion of -1 in y 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 1.0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.286 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.287 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.287 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.287 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 1.0 in y 0.287 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.287 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.287 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.288 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of 1.0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of 1.0 in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 1.0 in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.293 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.293 * [taylor]: Taking taylor expansion of -1 in y 0.293 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 1.0 in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.293 * [taylor]: Taking taylor expansion of -1 in x 0.293 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.294 * [taylor]: Taking taylor expansion of -1 in x 0.294 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.295 * [taylor]: Taking taylor expansion of -1 in y 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of 1.0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.298 * * * [progress]: simplifying candidates 0.299 * [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))) 0.323 * * [simplify]: iteration 0 : 4957 enodes (cost 992 ) 0.324 * * [simplify]: iteration 1 : 4957 enodes (cost 992 ) 0.328 * [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 6))) (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (pow y 4))) (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 6))) (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (pow y 4))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (+ 1.0 (* y y)) x) (* (+ 1.0 (* y y)) x) (log (* (+ 1.0 (* y y)) x)) (log (* (+ 1.0 (* y y)) x)) (log (* (+ 1.0 (* y y)) x)) (pow (exp x) (+ 1.0 (* y y))) (pow (* (+ 1.0 (* y y)) x) 3) (pow (* (+ 1.0 (* y y)) x) 3) (* (cbrt (* (+ 1.0 (* y y)) x)) (cbrt (* (+ 1.0 (* y y)) x))) (cbrt (* (+ 1.0 (* y y)) x)) (pow (* (+ 1.0 (* y y)) x) 3) (sqrt (* (+ 1.0 (* y y)) x)) (sqrt (* (+ 1.0 (* y y)) x)) (* (+ (pow 1.0 3) (pow y 6)) x) (+ (pow y 4) (* 1.0 (- 1.0 (* y y)))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (pow y 4)) x) (- 1.0 (* y y)) (* (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))) x) (+ 1.0 (* y y)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ 1.0 (* y y))) x) (log (* (sqrt (+ 1.0 (* y y))) x)) (log (* (sqrt (+ 1.0 (* y y))) x)) (pow (exp (sqrt (+ 1.0 (* y y)))) x) (pow (* (sqrt (+ 1.0 (* y y))) x) 3) (* (cbrt (* (sqrt (+ 1.0 (* y y))) x)) (cbrt (* (sqrt (+ 1.0 (* y y))) x))) (cbrt (* (sqrt (+ 1.0 (* y y))) x)) (pow (* (sqrt (+ 1.0 (* y y))) x) 3) (sqrt (* (sqrt (+ 1.0 (* y y))) x)) (sqrt (* (sqrt (+ 1.0 (* y y))) 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)))) (sqrt x)) (* (cbrt (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) x)) (* (fabs (cbrt (+ 1.0 (* y y)))) x) (* (sqrt (sqrt (+ 1.0 (* y y)))) x) x (* (sqrt (sqrt (+ 1.0 (* y y)))) x) x (* (sqrt (+ 1.0 (* y y))) (cbrt x)) (* (sqrt (+ 1.0 (* y y))) (sqrt x)) (* (sqrt (+ 1.0 (* y y))) x) (* (sqrt (+ (pow 1.0 3) (pow y 6))) x) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x) (+ (sqrt 1.0) (* (* (/ y (sqrt 1.0)) y) (- 1/2 (/ (* (* y y) 1/8) 1.0)))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (+ (sqrt 1.0) (* (* (/ y (sqrt 1.0)) y) (- 1/2 (/ (* (* y y) 1/8) 1.0)))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (* 1.0 x) (* (+ 1.0 (* y y)) x) (* (+ 1.0 (* y y)) x) (* x (sqrt 1.0)) (* x (+ y (/ 0.5 y))) (* x (- (/ (neg 0.5) y) y)) 0.328 * * * [progress]: adding candidates to table 0.460 * * [progress]: iteration 3 / 4 0.460 * * * [progress]: picking best candidate 0.471 * * * * [pick]: Picked # 0.471 * * * [progress]: localizing error 0.483 * * * [progress]: generating rewritten candidates 0.483 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.486 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.488 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.491 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.500 * * * [progress]: generating series expansions 0.500 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.500 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.500 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.500 * [taylor]: Taking taylor expansion of 1/3 in y 0.500 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.500 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 1.0 in y 0.500 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.500 * [taylor]: Taking taylor expansion of 1/3 in y 0.500 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.500 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 1.0 in y 0.503 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.503 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.504 * [taylor]: Taking taylor expansion of 1/3 in y 0.504 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of 1.0 in y 0.504 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.504 * [taylor]: Taking taylor expansion of 1/3 in y 0.504 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of 1.0 in y 0.508 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.508 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.508 * [taylor]: Taking taylor expansion of 1/3 in y 0.508 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 1.0 in y 0.508 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.508 * [taylor]: Taking taylor expansion of 1/3 in y 0.508 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 1.0 in y 0.514 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.514 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in (y) around 0 0.514 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.514 * [taylor]: Taking taylor expansion of 1/3 in y 0.514 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.514 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of 1.0 in y 0.514 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/3) in y 0.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) 1.0)))) in y 0.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) 1.0))) in y 0.514 * [taylor]: Taking taylor expansion of 1/3 in y 0.514 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.514 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of 1.0 in y 0.517 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.517 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.517 * [taylor]: Taking taylor expansion of 1/3 in y 0.517 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of 1.0 in y 0.518 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.518 * [taylor]: Taking taylor expansion of 1/3 in y 0.518 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of 1.0 in y 0.521 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in (y) around 0 0.522 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.522 * [taylor]: Taking taylor expansion of 1/3 in y 0.522 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of 1.0 in y 0.522 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/3) in y 0.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.522 * [taylor]: Taking taylor expansion of 1/3 in y 0.522 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of 1.0 in y 0.526 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.526 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.526 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.526 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of 1.0 in y 0.526 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.526 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of 1.0 in y 0.527 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of 1.0 in y 0.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of 1.0 in y 0.528 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of 1.0 in y 0.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of 1.0 in y 0.529 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.529 * [approximate]: Taking taylor expansion of (* (pow (+ (pow y 2) 1.0) 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in (y) around 0 0.529 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) 1.0) 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in y 0.529 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in y 0.529 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) 1.0)))) in y 0.529 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) 1.0))) in y 0.529 * [taylor]: Taking taylor expansion of 1/6 in y 0.529 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.529 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of 1.0 in y 0.530 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in y 0.530 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) 1.0) 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) in y 0.530 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in y 0.530 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) 1.0)))) in y 0.530 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) 1.0))) in y 0.530 * [taylor]: Taking taylor expansion of 1/6 in y 0.530 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 0.530 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of 1.0 in y 0.530 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow y 2) 1.0) 1/3)) in y 0.535 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in (y) around 0 0.535 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 0.535 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 0.535 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.535 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.535 * [taylor]: Taking taylor expansion of 1/6 in y 0.535 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of 1.0 in y 0.536 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.536 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 0.536 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 0.536 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.536 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.536 * [taylor]: Taking taylor expansion of 1/6 in y 0.536 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of 1.0 in y 0.536 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.542 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in (y) around 0 0.542 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 0.542 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 0.542 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.542 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.542 * [taylor]: Taking taylor expansion of 1/6 in y 0.542 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of 1.0 in y 0.542 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.543 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3))) in y 0.543 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 0.543 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 0.543 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 0.543 * [taylor]: Taking taylor expansion of 1/6 in y 0.543 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of 1.0 in y 0.543 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow y 2)) 1.0) 1/3)) in y 0.548 * * * [progress]: simplifying candidates 0.550 * [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)))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (+ (log (fabs (cbrt (+ 1.0 (* y y))))) (log (sqrt (cbrt (+ 1.0 (* y y)))))) (log (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (exp (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (* (* (fabs (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))) (fabs (cbrt (+ 1.0 (* y y))))) (* (* (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))))) (cbrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (* (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (sqrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (sqrt (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (cbrt (+ 1.0 (* y y))))) (cbrt (sqrt (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt 1))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (cbrt (+ 1.0 (* y y)))) (cbrt (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt 1)) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) 1) (* (cbrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (- (* 1.0 1.0) (* (* y y) (* 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)))) (- (+ (* (pow 1.0 1/6) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (+ (* 0.013888888888888888 (* (* (pow y 4) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow 1.0 1/6))) (* 0.16666666666666666 (* (* (pow y 2) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow 1.0 1/6))))) (* 1/12 (* (* (pow y 4) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow (/ 1 (pow 1.0 11)) 1/6)))) (- (+ (* (exp (* 1/6 (- (log 1) (* 2 (log (/ 1 y)))))) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (* 0.16666666666666666 (/ (* (exp (* 1/6 (- (log 1) (* 2 (log (/ 1 y)))))) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow y 2)))) (* 0.06944444444444445 (/ (* (fabs (pow (+ (pow y 2) 1.0) 1/3)) (exp (* 1/6 (- (log 1) (* 2 (log (/ 1 y))))))) (pow y 4)))) (- (+ (* 0.16666666666666666 (/ (* (exp (* 1/6 (- (log 1) (* 2 (log (/ -1 y)))))) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow y 2))) (* (exp (* 1/6 (- (log 1) (* 2 (log (/ -1 y)))))) (fabs (pow (+ (pow y 2) 1.0) 1/3)))) (* 0.06944444444444445 (/ (* (exp (* 1/6 (- (log 1) (* 2 (log (/ -1 y)))))) (fabs (pow (+ (pow y 2) 1.0) 1/3))) (pow y 4)))) 0.585 * * [simplify]: iteration 0 : 5240 enodes (cost 1193 ) 0.590 * [simplify]: Simplified to: (log (cbrt (+ 1.0 (* y y)))) (exp (cbrt (+ 1.0 (* y y)))) (cbrt (pow (+ 1.0 (* y y)) 2/3)) (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 6))) (cbrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (pow y 4))) (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 (pow (+ 1.0 (* y y)) 2/3)) (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 6))) (cbrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (cbrt (- (* 1.0 1.0) (pow y 4))) (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)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow y 6))) (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (pow y 4))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))) (log (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (log (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (pow (exp (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (pow (sqrt (cbrt (+ 1.0 (* y y)))) 7)) (* (cbrt (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (cbrt (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))))) (cbrt (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (pow (sqrt (cbrt (+ 1.0 (* y y)))) 7)) (sqrt (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (sqrt (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (sqrt (fabs (cbrt (+ 1.0 (* y y))))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (cbrt (+ 1.0 (* y y))))) (cbrt (sqrt (cbrt (+ 1.0 (* y y))))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (pow (+ 1.0 (* y y)) 2/3)))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt 1))) (* (fabs (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (cbrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (fabs (cbrt (+ 1.0 (* y y)))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (cbrt (+ 1.0 (* y y)))))) (fabs (cbrt (+ 1.0 (* y y)))) (* (sqrt (cbrt (+ 1.0 (* y y)))) (cbrt (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (fabs (cbrt (+ 1.0 (* y y)))))) (* (sqrt (cbrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ (pow 1.0 3) (pow y 6))))) (* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (- (* 1.0 1.0) (pow y 4))))) (+ (* (cbrt 1.0) (+ 1 (* y (* y 0.3333333333333333)))) (* (pow y 4) (- (* 0.05555555555555555 (cbrt 1.0)) (* 1/6 (cbrt (/ 1 (pow 1.0 5))))))) (+ (cbrt (* y y)) (* (/ (cbrt (* y y)) (* y y)) (- 0.3333333333333333 (/ 0.1111111111111111 (* y y))))) (+ (cbrt (pow (/ -1 y) -2)) (* (/ (cbrt (pow (/ -1 y) -2)) (* y y)) (- 0.3333333333333333 (/ 0.1111111111111111 (* y y))))) (+ (* (cbrt 1.0) (+ 1 (* y (* y 0.3333333333333333)))) (* (pow y 4) (- (* 0.05555555555555555 (cbrt 1.0)) (* 1/6 (cbrt (/ 1 (pow 1.0 5))))))) (+ (cbrt (* y y)) (* (/ (cbrt (* y y)) (* y y)) (- 0.3333333333333333 (/ 0.1111111111111111 (* y y))))) (+ (cbrt (pow (/ -1 y) -2)) (* (/ (cbrt (pow (/ -1 y) -2)) (* y y)) (- 0.3333333333333333 (/ 0.1111111111111111 (* y y))))) (+ (sqrt 1.0) (+ (* 1/2 (* (/ y (sqrt 1.0)) y)) (* (/ (pow y 4) (* 1.0 (sqrt 1.0))) -1/8))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (+ (* (* (fabs (cbrt (+ 1.0 (* y y)))) (pow 1.0 1/6)) (+ 1 (* (* y y) 0.16666666666666666))) (* (* (pow y 4) (fabs (cbrt (+ 1.0 (* y y))))) (- (* (pow 1.0 1/6) 0.013888888888888888) (* 1/12 (pow (/ 1 (pow 1.0 11)) 1/6))))) (+ (* (fabs (cbrt (+ 1.0 (* y y)))) (pow (* y y) 1/6)) (* (* (fabs (cbrt (+ 1.0 (* y y)))) (/ (pow (* y y) 1/6) (* y y))) (- 0.16666666666666666 (/ 0.06944444444444445 (* y y))))) (+ (* (fabs (cbrt (+ 1.0 (* y y)))) (pow (pow (/ -1 y) -2) 1/6)) (* (* (fabs (cbrt (+ 1.0 (* y y)))) (/ (pow (pow (/ -1 y) -2) 1/6) (* y y))) (- 0.16666666666666666 (/ 0.06944444444444445 (* y y))))) 0.591 * * * [progress]: adding candidates to table 0.795 * * [progress]: iteration 4 / 4 0.795 * * * [progress]: picking best candidate 0.803 * * * * [pick]: Picked # 0.803 * * * [progress]: localizing error 0.813 * * * [progress]: generating rewritten candidates 0.813 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.818 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.821 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.823 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.840 * * * [progress]: generating series expansions 0.840 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.840 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.840 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of 1.0 in y 0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.840 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of 1.0 in y 0.842 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of 1.0 in y 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of 1.0 in y 0.843 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of 1.0 in y 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of 1.0 in y 0.844 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.844 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.844 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.844 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.844 * [taylor]: Taking taylor expansion of 1.0 in y 0.844 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.844 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.844 * [taylor]: Taking taylor expansion of 1.0 in y 0.845 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of 1.0 in y 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of 1.0 in y 0.846 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of 1.0 in y 0.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of 1.0 in y 0.847 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.848 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.848 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of 1.0 in y 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.848 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of 1.0 in y 0.849 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of 1.0 in y 0.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of 1.0 in y 0.850 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of 1.0 in y 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of 1.0 in y 0.851 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.851 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.851 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.851 * [taylor]: Taking taylor expansion of x in y 0.851 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of 1.0 in y 0.851 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of 1.0 in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.853 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of 1.0 in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of 1.0 in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.856 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.856 * [taylor]: Taking taylor expansion of -1 in y 0.856 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of 1.0 in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.857 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.858 * [taylor]: Taking taylor expansion of -1 in y 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of 1.0 in y 0.858 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.861 * * * [progress]: simplifying candidates 0.865 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (exp (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt 1) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ 1.0 (* y y))) (/ 3 2))) (cbrt (pow (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) 3)) (cbrt (pow (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) 3)) (cbrt (pow (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) 3)) (cbrt (pow (sqrt (- 1.0 (* y y))) 3)) (* (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (* (* (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (sqrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (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)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (sqrt (+ 1.0 (* y y))) 3)) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (pow (sqrt (+ 1.0 (* y y))) 3)) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (cbrt (pow (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) 3))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (pow (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) 3))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (cbrt (pow (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) 3))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (cbrt (pow (sqrt (- 1.0 (* y y))) 3))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (pow (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) 3))) (* (sqrt (- 1.0 (* y y))) (cbrt (pow (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) 3))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (pow (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) 3))) (* (sqrt (- 1.0 (* y y))) (cbrt (pow (sqrt (- 1.0 (* y y))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt 1) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow 1 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (* (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt 1) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow 1 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) (/ 3 2)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) 3))) (* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) 3))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (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)) 0.907 * * [simplify]: iteration 0 : 4975 enodes (cost 1246 ) 0.908 * * [simplify]: iteration 1 : 4975 enodes (cost 1246 ) 0.913 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (sqrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (cbrt 1) (sqrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) (cbrt 1) (sqrt (+ 1.0 (* y y))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3/2)) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3/2)) (sqrt (+ (pow 1.0 3) (pow y 6))) (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (pow y 4))) (sqrt (- 1.0 (* y y))) (cbrt (+ 1.0 (* y y))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (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 (+ 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 6))) (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (pow y 4))) (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 (+ 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 6))) (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (pow y 4))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (+ 1.0 (* y y)) x) (* (+ 1.0 (* y y)) x) (log (* (+ 1.0 (* y y)) x)) (log (* (+ 1.0 (* y y)) x)) (log (* (+ 1.0 (* y y)) x)) (pow (exp x) (+ 1.0 (* y y))) (pow (* (+ 1.0 (* y y)) x) 3) (pow (* (+ 1.0 (* y y)) x) 3) (* (cbrt (* (+ 1.0 (* y y)) x)) (cbrt (* (+ 1.0 (* y y)) x))) (cbrt (* (+ 1.0 (* y y)) x)) (pow (* (+ 1.0 (* y y)) x) 3) (sqrt (* (+ 1.0 (* y y)) x)) (sqrt (* (+ 1.0 (* y y)) x)) (* (+ (pow 1.0 3) (pow y 6)) x) (+ (pow y 4) (* 1.0 (- 1.0 (* y y)))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ (pow y 4) (* 1.0 (- 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (pow y 4)) x) (- 1.0 (* y y)) (* x (pow (cbrt (sqrt (+ 1.0 (* y y)))) 5)) (* (sqrt (+ 1.0 (* y y))) (* (fabs (cbrt (+ 1.0 (* y y)))) x)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (sqrt (+ 1.0 (* y y))) (* (cbrt 1) x)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (sqrt (+ 1.0 (* y y))) (* (cbrt 1) x)) (* x (pow (cbrt (sqrt (+ 1.0 (* y y)))) 5)) (* x (pow (cbrt (sqrt (+ 1.0 (* y y)))) 5)) (* x (pow (cbrt (sqrt (+ 1.0 (* y y)))) 5)) (* (sqrt (+ 1.0 (* y y))) (* (fabs (cbrt (+ 1.0 (* y y)))) x)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (sqrt (+ 1.0 (* y y))) (* (cbrt 1) x)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (sqrt (+ 1.0 (* y y))) (* (cbrt 1) x)) (* (pow (cbrt (+ 1.0 (* y y))) 2) x) (* (sqrt (+ 1.0 (* y y))) (* (cbrt (sqrt (pow (sqrt (+ 1.0 (* y y))) 3))) x)) (* (sqrt (+ 1.0 (* y y))) (* (cbrt 1) x)) (* (sqrt (+ 1.0 (* y y))) (* (cbrt (pow (sqrt (+ 1.0 (* y y))) 3/2)) x)) (* x (pow (cbrt (sqrt (+ 1.0 (* y y)))) 5)) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (sqrt (+ 1.0 (* y y))) x) (+ 1.0 (* y y)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ (pow 1.0 3) (pow y 6))) x)) (* (sqrt (+ 1.0 (* y y))) (* (sqrt (- (* 1.0 1.0) (pow y 4))) x)) (+ (sqrt 1.0) (+ (* 1/2 (* (/ y (sqrt 1.0)) y)) (* (/ (pow y 4) (* 1.0 (sqrt 1.0))) -1/8))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (+ (sqrt 1.0) (+ (* 1/2 (* (/ y (sqrt 1.0)) y)) (* (/ (pow y 4) (* 1.0 (sqrt 1.0))) -1/8))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (+ (sqrt 1.0) (+ (* 1/2 (* (/ y (sqrt 1.0)) y)) (* (/ (pow y 4) (* 1.0 (sqrt 1.0))) -1/8))) (+ y (- (/ 0.5 y) (/ 0.125 (pow y 3)))) (- (/ 0.125 (pow y 3)) (+ y (/ 0.5 y))) (* 1.0 x) (* (+ 1.0 (* y y)) x) (* (+ 1.0 (* y y)) x) 0.913 * * * [progress]: adding candidates to table 1.083 * [progress]: [Phase 3 of 3] Extracting. 1.083 * * [regime]: Finding splitpoints for: (# # # # # #) 1.083 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.083 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.125 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 1.168 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # #) 1.216 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.262 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.308 * * * [regime]: Found split indices: #