25.093 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.130 * * * [progress]: [2/2] Setting up program. 0.133 * [progress]: [Phase 2 of 3] Improving. 0.133 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.136 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.137 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.138 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.139 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.139 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.139 * * [progress]: iteration 1 / 4 0.139 * * * [progress]: picking best candidate 0.142 * * * * [pick]: Picked # 0.142 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.146 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.151 * * * [progress]: generating series expansions 0.151 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.151 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.152 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of 1.0 in y 0.152 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of 1.0 in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of 1.0 in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of 1.0 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.157 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.157 * [taylor]: Taking taylor expansion of -1 in y 0.157 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of 1.0 in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.157 * [taylor]: Taking taylor expansion of -1 in x 0.157 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.157 * [taylor]: Taking taylor expansion of -1 in x 0.157 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.158 * [taylor]: Taking taylor expansion of -1 in y 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 1.0 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * * * [progress]: simplifying candidates 0.162 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.165 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.168 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.181 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.238 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.240 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.240 * * * [progress]: adding candidates to table 0.272 * * [progress]: iteration 2 / 4 0.272 * * * [progress]: picking best candidate 0.291 * * * * [pick]: Picked # 0.291 * * * [progress]: localizing error 0.298 * * * [progress]: generating rewritten candidates 0.298 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.300 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.303 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.312 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.322 * * * [progress]: generating series expansions 0.322 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.323 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.323 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of 1.0 in y 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.323 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of 1.0 in y 0.324 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 1.0 in y 0.326 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.326 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.326 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 1.0 in y 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.326 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 1.0 in y 0.327 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 1.0 in y 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 1.0 in y 0.330 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.330 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.330 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of 1.0 in y 0.330 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of 1.0 in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of 1.0 in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 1.0 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.335 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.335 * [taylor]: Taking taylor expansion of -1 in y 0.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of 1.0 in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.335 * [taylor]: Taking taylor expansion of -1 in x 0.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.336 * [taylor]: Taking taylor expansion of -1 in x 0.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.336 * [taylor]: Taking taylor expansion of -1 in y 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 1.0 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.340 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.340 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.340 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.340 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 1.0 in y 0.340 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.341 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of 1.0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.342 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 1.0 in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of 1.0 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.346 * [taylor]: Taking taylor expansion of -1 in y 0.346 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of 1.0 in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of -1 in x 0.347 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of -1 in x 0.347 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.348 * [taylor]: Taking taylor expansion of -1 in y 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 1.0 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.352 * * * [progress]: simplifying candidates 0.353 * [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))) 0.360 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.369 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.401 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.405 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (+ (pow 1.0 3) (pow (* y y) 3)) x) (+ (* (pow y 2) (- (pow y 2) 1.0)) (* 1.0 1.0)) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (* (* y y) (* y y))) x) (- 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (log (* x (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) x) (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (neg (+ (* 0.5 (/ x y)) (* x y))) 0.406 * * * [progress]: adding candidates to table 0.534 * * [progress]: iteration 3 / 4 0.534 * * * [progress]: picking best candidate 0.555 * * * * [pick]: Picked # 0.555 * * * [progress]: localizing error 0.560 * * * [progress]: generating rewritten candidates 0.560 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.566 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.570 * * * [progress]: generating series expansions 0.570 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.570 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.570 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.571 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.571 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.571 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.571 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.571 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.574 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.574 * [taylor]: Taking taylor expansion of -1 in y 0.574 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of -1 in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.576 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.576 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.576 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.576 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.577 * [taylor]: Taking taylor expansion of 1.0 in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.577 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.577 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of 1.0 in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.578 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.578 * [taylor]: Taking taylor expansion of 1.0 in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.578 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.579 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of 1.0 in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.582 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.582 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.582 * [taylor]: Taking taylor expansion of 1.0 in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.583 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) 1.0)) in y 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of 1.0 in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.586 * * * [progress]: simplifying candidates 0.587 * [simplify]: Simplifying using # : (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* (exp (* x 1.0)) (exp (* x (* y y)))) (log (+ (* x 1.0) (* x (* y y)))) (exp (+ (* x 1.0) (* x (* y y)))) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (* (* (+ (* x 1.0) (* x (* y y))) (+ (* x 1.0) (* x (* y y)))) (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (+ (pow (* x 1.0) 3) (pow (* x (* y y)) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (* y y)) (* x (* y y))) (* (* x 1.0) (* x (* y y))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (* y y)) (* x (* y y)))) (- (* x 1.0) (* x (* y y))) (+ 1.0 (* y y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.590 * * [simplify]: iteration 0 : 167 enodes (cost 162 ) 0.594 * * [simplify]: iteration 1 : 633 enodes (cost 137 ) 0.607 * * [simplify]: iteration 2 : 2466 enodes (cost 134 ) 0.661 * * [simplify]: iteration 3 : 5001 enodes (cost 134 ) 0.662 * [simplify]: Simplified to: (* x (* y y)) (* x (* y y)) (log (* x (* y y))) (log (* x (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (pow (* x (* y y)) 3) (pow (* x (* y y)) 3) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (pow (* x (* y y)) 3) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (pow (exp x) (+ 1.0 (* y y))) (log (+ (* x 1.0) (* x (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (* x (+ (* 1.0 (* x 1.0)) (* (pow y 2) (* x (- (pow y 2) 1.0))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (+ 1.0 (* y y)) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.662 * * * [progress]: adding candidates to table 0.696 * * [progress]: iteration 4 / 4 0.696 * * * [progress]: picking best candidate 0.713 * * * * [pick]: Picked # 0.713 * * * [progress]: localizing error 0.719 * * * [progress]: generating rewritten candidates 0.719 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.723 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.728 * * * [progress]: generating series expansions 0.728 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.728 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.728 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.729 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.729 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.729 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.732 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.732 * [taylor]: Taking taylor expansion of -1 in y 0.732 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.732 * [taylor]: Taking taylor expansion of -1 in x 0.732 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.732 * [taylor]: Taking taylor expansion of y in x 0.732 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.732 * [taylor]: Taking taylor expansion of -1 in x 0.732 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.732 * [taylor]: Taking taylor expansion of y in x 0.732 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.732 * [taylor]: Taking taylor expansion of -1 in y 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.734 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.734 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.734 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.734 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.735 * [taylor]: Taking taylor expansion of 1.0 in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.735 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.735 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.735 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of 1.0 in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.736 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.736 * [taylor]: Taking taylor expansion of 1.0 in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.736 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.736 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.737 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.737 * [taylor]: Taking taylor expansion of 1.0 in y 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.740 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.740 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.740 * [taylor]: Taking taylor expansion of 1.0 in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.740 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.740 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.741 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) 1.0)) in y 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of 1.0 in y 0.742 * [taylor]: Taking taylor expansion of 0 in y 0.742 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.745 * * * [progress]: simplifying candidates 0.745 * [simplify]: Simplifying using # : (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (exp (* x 1.0)) (exp (* (* x y) y))) (log (+ (* x 1.0) (* (* x y) y))) (exp (+ (* x 1.0) (* (* x y) y))) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (* (* (+ (* x 1.0) (* (* x y) y)) (+ (* x 1.0) (* (* x y) y))) (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (+ (pow (* x 1.0) 3) (pow (* (* x y) y) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* (* x y) y) (* (* x y) y)) (* (* x 1.0) (* (* x y) y)))) (- (* (* x 1.0) (* x 1.0)) (* (* (* x y) y) (* (* x y) y))) (- (* x 1.0) (* (* x y) y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.748 * * [simplify]: iteration 0 : 174 enodes (cost 161 ) 0.752 * * [simplify]: iteration 1 : 815 enodes (cost 137 ) 0.774 * * [simplify]: iteration 2 : 4140 enodes (cost 129 ) 0.871 * * [simplify]: iteration 3 : 5001 enodes (cost 128 ) 0.872 * [simplify]: Simplified to: (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) x) (* x y) (pow y 2) (pow (exp x) (+ (pow y 2) 1.0)) (log (+ (* x 1.0) (* (* x y) y))) (pow (exp x) (+ (pow y 2) 1.0)) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (pow (* x (+ (pow y 2) 1.0)) 3) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (* x (+ (* 1.0 (* x 1.0)) (* (pow y 2) (* x (- (pow y 2) 1.0))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* x 1.0) (* x (+ (pow y 2) 1.0)) (* x (+ (pow y 2) 1.0)) 0.872 * * * [progress]: adding candidates to table 0.906 * [progress]: [Phase 3 of 3] Extracting. 0.906 * * [regime]: Finding splitpoints for: (# # # # # #) 0.907 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (+ 1.0 (* y y)) y x) 0.907 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 0.951 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.985 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 1.027 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# #) 1.058 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.103 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.149 * * * [regime]: Found split indices: #