10.416 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (- (* (+ x 1.0) y) x) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 19 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 43 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 55 enodes (cost 3 ) 0.021 * * [simplify]: iteration 4 : 59 enodes (cost 3 ) 0.023 * * [simplify]: iteration 5 : 67 enodes (cost 3 ) 0.024 * * [simplify]: iteration 6 : 87 enodes (cost 3 ) 0.026 * * [simplify]: iteration 7 : 123 enodes (cost 3 ) 0.028 * * [simplify]: iteration 8 : 198 enodes (cost 3 ) 0.031 * * [simplify]: iteration 9 : 381 enodes (cost 3 ) 0.033 * * [simplify]: iteration 10 : 454 enodes (cost 3 ) 0.037 * * [simplify]: iteration 11 : 629 enodes (cost 3 ) 0.042 * * [simplify]: iteration 12 : 889 enodes (cost 3 ) 0.050 * * [simplify]: iteration 13 : 1260 enodes (cost 3 ) 0.059 * * [simplify]: iteration 14 : 1684 enodes (cost 3 ) 0.071 * * [simplify]: iteration 15 : 2354 enodes (cost 3 ) 0.098 * * [simplify]: iteration 16 : 5002 enodes (cost 3 ) 0.098 * [simplify]: Simplified to: (- (* (+ x 1.0) y) x) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.106 * * * [progress]: generating rewritten candidates 0.106 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.125 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.138 * * * [progress]: generating series expansions 0.138 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.138 * [approximate]: Taking taylor expansion of (* y (+ x 1.0)) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of 1.0 in y 0.138 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.139 * [taylor]: Taking taylor expansion of 1.0 in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in y 0.144 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.144 * [taylor]: Taking taylor expansion of 1.0 in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.144 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.145 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.146 * [taylor]: Taking taylor expansion of 1.0 in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in (x y) around 0 0.152 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in y 0.152 * [taylor]: Taking taylor expansion of -1 in y 0.152 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in y 0.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.152 * [taylor]: Taking taylor expansion of 1.0 in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.152 * [taylor]: Taking taylor expansion of -1 in x 0.152 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.153 * [taylor]: Taking taylor expansion of -1 in x 0.153 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.155 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.155 * [taylor]: Taking taylor expansion of 1.0 in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.162 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.163 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in (x y) around 0 0.163 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in y 0.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in y 0.163 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.163 * [taylor]: Taking taylor expansion of 1.0 in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (* x y) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in x 0.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in x 0.163 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (* x y) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in x 0.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in x 0.163 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (* x y) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.163 * [taylor]: Taking taylor expansion of 1.0 in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (- y 1) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 1 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in y 0.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in y 0.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.168 * [taylor]: Taking taylor expansion of 1.0 in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.168 * [taylor]: Taking taylor expansion of (* x y) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in x 0.169 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.169 * [taylor]: Taking taylor expansion of (* x y) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in x 0.169 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.169 * [taylor]: Taking taylor expansion of (* x y) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of 1 in y 0.175 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.175 * [taylor]: Taking taylor expansion of 1.0 in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.177 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in y 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.177 * [taylor]: Taking taylor expansion of (* x y) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.177 * [taylor]: Taking taylor expansion of 1.0 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.178 * [taylor]: Taking taylor expansion of (* x y) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.179 * [taylor]: Taking taylor expansion of (* x y) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.181 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.181 * [taylor]: Taking taylor expansion of 1.0 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.183 * * * [progress]: simplifying candidates 0.183 * [simplify]: Simplifying using # : (* (+ x 1.0) y) (+ (log (+ x 1.0)) (log y)) (log (* (+ x 1.0) y)) (exp (* (+ x 1.0) y)) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* y y) y)) (* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y))) (cbrt (* (+ x 1.0) y)) (* (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (+ x 1.0) (* (cbrt y) (cbrt y))) (* (+ x 1.0) (sqrt y)) (* (+ x 1.0) 1) (* (cbrt (+ x 1.0)) y) (* (sqrt (+ x 1.0)) y) (* (+ x 1.0) y) (* (+ x 1.0) y) (* (+ (pow x 3) (pow 1.0 3)) y) (* (- (* x x) (* 1.0 1.0)) y) (/ (exp (* (+ x 1.0) y)) (exp x)) (log (- (* (+ x 1.0) y) x)) (exp (- (* (+ x 1.0) y) x)) (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))) (cbrt (- (* (+ x 1.0) y) x)) (* (* (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x)) (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)) (- (pow (* (+ x 1.0) y) 3) (pow x 3)) (+ (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (+ (* x x) (* (* (+ x 1.0) y) x))) (- x) (- (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* x x)) (+ (* (+ x 1.0) y) x) (- x) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) 0.187 * * [simplify]: iteration 0 : 149 enodes (cost 159 ) 0.190 * * [simplify]: iteration 1 : 616 enodes (cost 147 ) 0.203 * * [simplify]: iteration 2 : 3110 enodes (cost 145 ) 0.245 * * [simplify]: iteration 3 : 5001 enodes (cost 145 ) 0.246 * [simplify]: Simplified to: (* y (+ 1.0 x)) (log (* (+ x 1.0) y)) (log (* (+ x 1.0) y)) (exp (* (+ x 1.0) y)) (pow (* (+ x 1.0) y) 3) (* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y))) (cbrt (* (+ x 1.0) y)) (pow (* (+ x 1.0) y) 3) (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (+ x 1.0) (* (cbrt y) (cbrt y))) (* (+ x 1.0) (sqrt y)) (+ x 1.0) (* (cbrt (+ x 1.0)) y) (* (sqrt (+ x 1.0)) y) (* y (+ 1.0 x)) (* y (+ 1.0 x)) (* (+ (pow x 3) (pow 1.0 3)) y) (* (- (* x x) (* 1.0 1.0)) y) (exp (- (* (+ x 1.0) y) x)) (log (- (* (+ x 1.0) y) x)) (exp (- (* (+ x 1.0) y) x)) (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))) (cbrt (- (* (+ x 1.0) y) x)) (pow (- (* (+ x 1.0) y) x) 3) (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)) (- (pow (* (+ x 1.0) y) 3) (pow x 3)) (+ (* (* y (+ 1.0 x)) (+ (* (+ x 1.0) y) x)) (* x x)) (- x) (- (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* x x)) (+ (* (+ x 1.0) y) x) (- x) (* y (+ 1.0 x)) (* y (+ 1.0 x)) (* y (+ 1.0 x)) (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x) 0.246 * * * [progress]: adding candidates to table 0.305 * * [progress]: iteration 2 / 4 0.305 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.363 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.384 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.430 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.439 * * * [progress]: generating series expansions 0.439 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.439 * [approximate]: Taking taylor expansion of (* y (+ x 1.0)) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of 1.0 in y 0.439 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.440 * [taylor]: Taking taylor expansion of 1.0 in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in (x y) around 0 0.446 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in y 0.446 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.446 * [taylor]: Taking taylor expansion of 1.0 in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.446 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.447 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.448 * [taylor]: Taking taylor expansion of 1.0 in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in (x y) around 0 0.454 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in y 0.454 * [taylor]: Taking taylor expansion of -1 in y 0.454 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in y 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.454 * [taylor]: Taking taylor expansion of 1.0 in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.457 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.457 * [taylor]: Taking taylor expansion of 1.0 in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.467 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.467 * [approximate]: Taking taylor expansion of (* y (sqrt (+ x 1.0))) in (x y) around 0 0.467 * [taylor]: Taking taylor expansion of (* y (sqrt (+ x 1.0))) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in y 0.467 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of 1.0 in y 0.468 * [taylor]: Taking taylor expansion of (* y (sqrt (+ x 1.0))) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.468 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (* y (sqrt (+ x 1.0))) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.469 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.471 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) y) in y 0.471 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.471 * [taylor]: Taking taylor expansion of 1.0 in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ y (sqrt 1.0))) in y 0.473 * [taylor]: Taking taylor expansion of 1/2 in y 0.473 * [taylor]: Taking taylor expansion of (/ y (sqrt 1.0)) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.473 * [taylor]: Taking taylor expansion of 1.0 in y 0.480 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ y (pow (sqrt 1.0) 3)))) in y 0.480 * [taylor]: Taking taylor expansion of (* 1/8 (/ y (pow (sqrt 1.0) 3))) in y 0.481 * [taylor]: Taking taylor expansion of 1/8 in y 0.481 * [taylor]: Taking taylor expansion of (/ y (pow (sqrt 1.0) 3)) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in y 0.481 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.481 * [taylor]: Taking taylor expansion of 1.0 in y 0.495 * [taylor]: Taking taylor expansion of (* 1/16 (/ y (pow (sqrt 1.0) 5))) in y 0.495 * [taylor]: Taking taylor expansion of 1/16 in y 0.495 * [taylor]: Taking taylor expansion of (/ y (pow (sqrt 1.0) 5)) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 5) in y 0.495 * [taylor]: Taking taylor expansion of (sqrt 1.0) in y 0.495 * [taylor]: Taking taylor expansion of 1.0 in y 0.507 * [approximate]: Taking taylor expansion of (* (/ 1 y) (sqrt (+ 1.0 (/ 1 x)))) in (x y) around 0 0.507 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (+ 1.0 (/ 1 x)))) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in y 0.508 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.508 * [taylor]: Taking taylor expansion of 1.0 in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (+ 1.0 (/ 1 x)))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.508 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (+ 1.0 (/ 1 x)))) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.510 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 0.512 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.512 * [taylor]: Taking taylor expansion of +nan.0 in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 0.515 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.515 * [taylor]: Taking taylor expansion of +nan.0 in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 0.521 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.521 * [taylor]: Taking taylor expansion of +nan.0 in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.523 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (/ 1 x))) (/ 1 y))) in (x y) around 0 0.523 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (/ 1 x))) (/ 1 y))) in y 0.523 * [taylor]: Taking taylor expansion of -1 in y 0.523 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (/ 1 y)) in y 0.523 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in y 0.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.523 * [taylor]: Taking taylor expansion of 1.0 in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (/ 1 x))) (/ 1 y))) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (/ 1 y)) in x 0.524 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (/ 1 x))) (/ 1 y))) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (/ 1 y)) in x 0.525 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 0.528 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.528 * [taylor]: Taking taylor expansion of +nan.0 in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 0.532 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.532 * [taylor]: Taking taylor expansion of +nan.0 in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 0.538 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.538 * [taylor]: Taking taylor expansion of +nan.0 in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.540 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.540 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in (x y) around 0 0.540 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in y 0.540 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in y 0.540 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.540 * [taylor]: Taking taylor expansion of 1.0 in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (* x y) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in x 0.540 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in x 0.540 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (* x y) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in x 0.540 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in x 0.540 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (* x y) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.541 * [taylor]: Taking taylor expansion of 1.0 in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of (- y 1) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of 1 in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in (x y) around 0 0.551 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in y 0.551 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in y 0.551 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.551 * [taylor]: Taking taylor expansion of 1.0 in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.551 * [taylor]: Taking taylor expansion of (* x y) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in x 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.552 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.552 * [taylor]: Taking taylor expansion of (* x y) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in x 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.552 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.552 * [taylor]: Taking taylor expansion of (* x y) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of 1 in y 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.555 * [taylor]: Taking taylor expansion of 1.0 in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.557 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in (x y) around 0 0.557 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in y 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.557 * [taylor]: Taking taylor expansion of (* x y) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.557 * [taylor]: Taking taylor expansion of 1.0 in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.558 * [taylor]: Taking taylor expansion of (* x y) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.558 * [taylor]: Taking taylor expansion of 1.0 in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.558 * [taylor]: Taking taylor expansion of (* x y) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 1 in y 0.561 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.561 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.561 * [taylor]: Taking taylor expansion of 1.0 in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.563 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.563 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.563 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.564 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.573 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.574 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.581 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.589 * * * [progress]: simplifying candidates 0.591 * [simplify]: Simplifying using # : (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) (+ (log (sqrt (+ x 1.0))) (+ (log (sqrt (+ x 1.0))) (log y))) (+ (log (sqrt (+ x 1.0))) (log (* (sqrt (+ x 1.0)) y))) (log (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (exp (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (* (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (* y y) y))) (* (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (* (* (sqrt (+ x 1.0)) y) (* (sqrt (+ x 1.0)) y)) (* (sqrt (+ x 1.0)) y))) (* (cbrt (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (cbrt (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)))) (cbrt (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (* (* (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (sqrt (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (sqrt (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) y)) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (* (sqrt (- (* x x) (* 1.0 1.0))) y)) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (* (sqrt (- (* x x) (* 1.0 1.0))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) y)) (* (sqrt (- x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (sqrt (- (* x x) (* 1.0 1.0))) (* (sqrt (- (* x x) (* 1.0 1.0))) y)) (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) y)) (* (sqrt (cbrt (+ x 1.0))) (* (sqrt (+ x 1.0)) y)) (* (sqrt (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) y)) (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) (* (sqrt (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) y)) (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) (* (sqrt (+ x 1.0)) (* (sqrt (+ (pow x 3) (pow 1.0 3))) y)) (* (sqrt (+ x 1.0)) (* (sqrt (- (* x x) (* 1.0 1.0))) y)) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (* (sqrt (+ x 1.0)) y)) (* (sqrt (- (* x x) (* 1.0 1.0))) (* (sqrt (+ x 1.0)) y)) (* (sqrt (+ x 1.0)) y) (+ (log (sqrt (+ x 1.0))) (log y)) (log (* (sqrt (+ x 1.0)) y)) (exp (* (sqrt (+ x 1.0)) y)) (* (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (* y y) y)) (* (cbrt (* (sqrt (+ x 1.0)) y)) (cbrt (* (sqrt (+ x 1.0)) y))) (cbrt (* (sqrt (+ x 1.0)) y)) (* (* (* (sqrt (+ x 1.0)) y) (* (sqrt (+ x 1.0)) y)) (* (sqrt (+ x 1.0)) y)) (sqrt (* (sqrt (+ x 1.0)) y)) (sqrt (* (sqrt (+ x 1.0)) y)) (* (sqrt (sqrt (+ x 1.0))) (sqrt y)) (* (sqrt (sqrt (+ x 1.0))) (sqrt y)) (* (sqrt (sqrt (+ x 1.0))) (sqrt y)) (* (sqrt (sqrt (+ x 1.0))) (sqrt y)) (* (sqrt (+ x 1.0)) (* (cbrt y) (cbrt y))) (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) 1) (* (cbrt (sqrt (+ x 1.0))) y) (* (sqrt (cbrt (+ x 1.0))) y) (* 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(sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x))) (- x) (- (* (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (* x x)) (+ (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x) (- x) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (- (+ (* 1/2 (/ (* x y) (sqrt 1.0))) (* (sqrt 1.0) y)) (* 1/8 (/ (* (pow x 2) y) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.596 * * [simplify]: iteration 0 : 358 enodes (cost 619 ) 0.603 * * [simplify]: iteration 1 : 1221 enodes (cost 517 ) 0.627 * * [simplify]: iteration 2 : 5001 enodes (cost 503 ) 0.630 * [simplify]: Simplified to: (* (+ x 1.0) y) (* (+ x 1.0) y) (+ (log (+ x 1.0)) (log y)) (+ (log (+ x 1.0)) (log y)) (+ (log (+ x 1.0)) (log y)) (pow (exp (+ x 1.0)) y) (pow (* (+ x 1.0) y) 3) (pow (* (+ x 1.0) y) 3) (* (cbrt (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (cbrt (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)))) (cbrt (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))) (pow (* (+ x 1.0) y) 3) (sqrt (* (sqrt (+ x 1.0)) (* 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1.0)) y)) (log (* (sqrt (+ x 1.0)) y)) (exp (* (sqrt (+ x 1.0)) y)) (pow (* (sqrt (+ x 1.0)) y) 3) (* (cbrt (* (sqrt (+ x 1.0)) y)) (cbrt (* (sqrt (+ x 1.0)) y))) (cbrt (* (sqrt (+ x 1.0)) y)) (pow (* (sqrt (+ x 1.0)) y) 3) (sqrt (* (sqrt (+ x 1.0)) y)) (sqrt (* (sqrt (+ x 1.0)) y)) (* (sqrt (sqrt (+ x 1.0))) (sqrt y)) (* (sqrt (sqrt (+ x 1.0))) (sqrt y)) (* (sqrt (sqrt (+ x 1.0))) (sqrt y)) (* (sqrt (sqrt (+ x 1.0))) (sqrt y)) (* (sqrt (+ x 1.0)) (* (cbrt y) (cbrt y))) (* (sqrt (+ x 1.0)) (sqrt y)) (sqrt (+ x 1.0)) (* (cbrt (sqrt (+ x 1.0))) y) (* (sqrt (cbrt (+ x 1.0))) y) (* (sqrt (sqrt (+ x 1.0))) y) (* (sqrt (+ x 1.0)) y) (* (sqrt (+ x 1.0)) y) (* (sqrt (sqrt (+ x 1.0))) y) (* (sqrt (+ x 1.0)) y) (* (sqrt (+ (pow x 3) (pow 1.0 3))) y) (* (sqrt (- (* x x) (* 1.0 1.0))) y) (exp (- (* (+ x 1.0) y) x)) (log (- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)) (exp (- (* (+ x 1.0) y) x)) (* (cbrt (- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)) (cbrt (- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x))) (cbrt (- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)) (pow (- (* (+ x 1.0) y) x) 3) (sqrt (- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)) (sqrt (- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)) (+ (- (pow x 3)) (pow (* (+ x 1.0) y) 3)) (+ (* (* (+ x 1.0) y) (+ x (* (+ x 1.0) y))) (pow x 2)) (- x) (* (+ (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x)) (+ (* (+ x 1.0) y) x) (- x) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (* (+ x 1.0) y) (* (+ x 1.0) y) (* (+ x 1.0) y) (- (+ (* 1/2 (/ (* x y) (sqrt 1.0))) (* (sqrt 1.0) y)) (* 1/8 (/ (* (pow x 2) y) (pow (sqrt 1.0) 3)))) (* +nan.0 (+ (- (/ y (pow x 2))) (- (/ y x) y))) (* +nan.0 (+ (- (/ y (pow x 2))) (- (/ y x) y))) (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) 0.630 * * * [progress]: adding candidates to table 0.799 * [progress]: [Phase 3 of 3] Extracting. 0.799 * * [regime]: Finding splitpoints for: (# #) 0.799 * * * [regime-changes]: Trying 3 branch expressions: ((- (* (+ x 1.0) y) x) y x) 0.799 * * * * [regimes]: Trying to branch on (- (* (+ x 1.0) y) x) from (# #) 0.814 * * * * [regimes]: Trying to branch on y from (# #) 0.825 * * * * [regimes]: Trying to branch on x from (# #) 0.835 * * * [regime]: Found split indices: #