4.703 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* (+ x y) (- x y)) 0.028 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.029 * * [simplify]: iteration 1 : 24 enodes (cost 3 ) 0.031 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.032 * * [simplify]: iteration 3 : 130 enodes (cost 3 ) 0.034 * * [simplify]: iteration 4 : 205 enodes (cost 3 ) 0.037 * * [simplify]: iteration 5 : 295 enodes (cost 3 ) 0.041 * * [simplify]: iteration 6 : 446 enodes (cost 3 ) 0.048 * * [simplify]: iteration 7 : 1317 enodes (cost 3 ) 0.083 * * [simplify]: iteration 8 : 5002 enodes (cost 3 ) 0.084 * [simplify]: Simplified to: (* (+ x y) (- x y)) 0.084 * * [progress]: iteration 1 / 4 0.084 * * * [progress]: picking best candidate 0.085 * * * * [pick]: Picked # 0.085 * * * [progress]: localizing error 0.089 * * * [progress]: generating rewritten candidates 0.089 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.108 * * * [progress]: generating series expansions 0.108 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.108 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.108 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.108 * [taylor]: Taking taylor expansion of (+ x y) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (- x y) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.108 * [taylor]: Taking taylor expansion of (+ x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (- x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.108 * [taylor]: Taking taylor expansion of (+ x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (- x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of -1 in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.134 * [taylor]: Taking taylor expansion of -1 in y 0.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.135 * [taylor]: Taking taylor expansion of -1 in x 0.135 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.135 * [taylor]: Taking taylor expansion of -1 in x 0.135 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of 1 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.152 * * * [progress]: simplifying candidates 0.152 * [simplify]: Simplifying using # : (* (+ x y) (- x y)) (+ (log (+ x y)) (log (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (+ x y) 1) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (+ x y) 1) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.156 * * [simplify]: iteration 0 : 196 enodes (cost 201 ) 0.161 * * [simplify]: iteration 1 : 986 enodes (cost 187 ) 0.181 * * [simplify]: iteration 2 : 5001 enodes (cost 187 ) 0.182 * [simplify]: Simplified to: (* (- x y) (+ x y)) (log (* (+ x y) (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (pow (* (- x y) (+ x y)) 3) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (pow (* (- x y) (+ x y)) 3) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* y (+ y x)) (pow x 2)) (+ (* y (- y x)) (pow x 2))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ x y) (+ (* y (- y x)) (pow x 2))) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (+ (* y (+ y x)) (pow x 2)) (- x y)) (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (+ x y) (* (+ x y) (+ (sqrt x) (sqrt y))) (+ x y) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) 0.183 * * * [progress]: adding candidates to table 0.241 * * [progress]: iteration 2 / 4 0.241 * * * [progress]: picking best candidate 0.242 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.249 * * * [progress]: generating rewritten candidates 0.249 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.259 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.272 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.280 * * * [progress]: generating series expansions 0.280 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.280 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.280 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (+ x y) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (+ x y) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (+ x y) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.287 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 1 in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.299 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1 in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.309 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.309 * [approximate]: Taking taylor expansion of (* -1 (* y (+ x y))) in (y x) around 0 0.309 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in x 0.309 * [taylor]: Taking taylor expansion of -1 in x 0.309 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (+ x y) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.309 * [taylor]: Taking taylor expansion of -1 in y 0.309 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (+ x y) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.309 * [taylor]: Taking taylor expansion of -1 in y 0.309 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (+ x y) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of 0 in x 0.311 * [taylor]: Taking taylor expansion of (- x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (- 1) in x 0.312 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [taylor]: Taking taylor expansion of 0 in x 0.317 * [taylor]: Taking taylor expansion of 0 in x 0.317 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.317 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.318 * [taylor]: Taking taylor expansion of -1 in y 0.318 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.319 * [taylor]: Taking taylor expansion of -1 in y 0.319 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.321 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.331 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.331 * [taylor]: Taking taylor expansion of -1 in x 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.332 * [taylor]: Taking taylor expansion of -1 in y 0.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.333 * [taylor]: Taking taylor expansion of -1 in y 0.333 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of -1 in x 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 0 in x 0.341 * [taylor]: Taking taylor expansion of 0 in x 0.345 * [taylor]: Taking taylor expansion of 0 in x 0.345 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.345 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.346 * [taylor]: Taking taylor expansion of x 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 (- (pow x 2) (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (- (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 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of 1 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of 1 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.381 * * * [progress]: simplifying candidates 0.382 * [simplify]: Simplifying using # : (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (- y) (+ x y)) (+ (log (- y)) (log (+ x y))) (log (* (- y) (+ x y))) (exp (* (- y) (+ x y))) (* (* (* (- y) (- y)) (- y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (- y) (+ x y))) (cbrt (* (- y) (+ x y)))) (cbrt (* (- y) (+ x y))) (* (* (* (- y) (+ x y)) (* (- y) (+ x y))) (* (- y) (+ x y))) (sqrt (* (- y) (+ x y))) (sqrt (* (- y) (+ x y))) (* (sqrt (- y)) (sqrt (+ x y))) (* (sqrt (- y)) (sqrt (+ x y))) (* y (+ x y)) (* (- y) x) (* (- y) y) (* x (- y)) (* y (- y)) (* (- y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- y) (sqrt (+ x y))) (* (- y) 1) (* (- y) 1) (* (cbrt (- y)) (+ x y)) (* (sqrt (- y)) (+ x y)) (* (- y) (+ x y)) (* y (+ x y)) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* (- (cbrt y)) (+ x y)) (* (- (sqrt y)) (+ x y)) (* (- y) (+ x y)) (* (- y) (+ (pow x 3) (pow y 3))) (* (- y) (- (* x x) (* y y))) (* (exp (* x (+ x y))) (exp (* (- y) (+ x y)))) (log (+ (* x (+ x y)) (* (- y) (+ x y)))) (exp (+ (* x (+ x y)) (* (- y) (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (cbrt (+ (* x (+ x y)) (* (- y) (+ x y))))) (cbrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (* (* (+ (* x (+ x y)) (* (- y) (+ x y))) (+ (* x (+ x y)) (* (- y) (+ x y)))) (+ (* x (+ x y)) (* (- y) (+ x y)))) (sqrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (sqrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (- y) (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- y) (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (- y) (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* (- y) (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* (- y) (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* (- y) (+ x y)) (* (- y) (+ x y))) (* (* x (+ x y)) (* (- y) (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* (- y) (+ x y)) (* (- y) (+ x y)))) (- (* x (+ x y)) (* (- y) (+ x y))) (+ x (- y)) (+ (* x (+ x y)) (* (- y) x)) (+ (* x (+ x y)) (* x (- y))) (+ (* x y) (* (- y) (+ x y))) (+ (* y x) (* (- y) (+ x y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (- (+ (pow y 2) (* x y))) (- (+ (pow y 2) (* x y))) (- (+ (pow y 2) (* x y))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.388 * * [simplify]: iteration 0 : 413 enodes (cost 456 ) 0.398 * * [simplify]: iteration 1 : 2295 enodes (cost 398 ) 0.449 * * [simplify]: iteration 2 : 5001 enodes (cost 398 ) 0.451 * [simplify]: Simplified to: (* x (+ x y)) (log (* x (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (pow (* x (+ x y)) 3) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (pow (* x (+ x y)) 3) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (pow x 2) (* x y) (pow x 2) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (- y) (+ x y)) (log (* (- y) (+ x y))) (log (* (- y) (+ x y))) (exp (* (- y) (+ x y))) (pow (* (- y) (+ x y)) 3) (* (cbrt (* (- y) (+ x y))) (cbrt (* (- y) (+ x y)))) (cbrt (* (- y) (+ x y))) (pow (* (- y) (+ x y)) 3) (sqrt (* (- y) (+ x y))) (sqrt (* (- y) (+ x y))) (* (sqrt (- y)) (sqrt (+ x y))) (* (sqrt (- y)) (sqrt (+ x y))) (* y (+ x y)) (* (- y) x) (* (- y) y) (* (- y) x) (* (- y) y) (* (- y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- y) (sqrt (+ x y))) (- y) (- y) (* (cbrt (- y)) (+ x y)) (* (sqrt (- y)) (+ x y)) (* (- y) (+ x y)) (* y (+ x y)) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* (- (cbrt y)) (+ x y)) (* (- (sqrt y)) (+ x y)) (* (- y) (+ x y)) (* (- y) (+ (pow x 3) (pow y 3))) (* (- y) (- (* x x) (* y y))) (pow (exp (+ x y)) (- x y)) (+ (log (+ x y)) (log (- x y))) (pow (exp (+ x y)) (- x y)) (* (cbrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (cbrt (+ (* x (+ x y)) (* (- y) (+ x y))))) (cbrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (pow (- (* x x) (* y y)) 3) (sqrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (sqrt (+ (* x (+ x y)) (* (- y) (+ x y)))) (* (+ (* y (- y x)) (pow x 2)) (+ (* (- y) (+ (pow x 3) (pow y 3))) (* x (+ (pow x 3) (pow y 3))))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- y) (- (* x x) (* y y))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (- y) (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- x y) (+ (* (- y) (- (* x x) (* y y))) (* x (- (* x x) (* y y))))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow (- y) 3) (pow x 3))) (+ (* (* (+ x y) (+ x y)) (+ (pow x 2) (pow y 2))) (* (* y (+ x y)) (* x (+ x y)))) (* (* (+ x y) (+ x y)) (- (* x x) (* y y))) (* (+ x y) (+ x y)) (- x y) (* (- (+ x y) y) x) (* (- (+ x y) y) x) (- (* x y) (* y (+ x y))) (- (* x y) (* y (+ x y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (- y) (+ x y)) (* (- y) (+ x y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.452 * * * [progress]: adding candidates to table 0.596 * [progress]: [Phase 3 of 3] Extracting. 0.596 * * [regime]: Finding splitpoints for: (# #) 0.596 * * * [regime-changes]: Trying 3 branch expressions: ((* (+ x y) (- x y)) y x) 0.596 * * * * [regimes]: Trying to branch on (* (+ x y) (- x y)) from (# #) 0.607 * * * * [regimes]: Trying to branch on y from (# #) 0.617 * * * * [regimes]: Trying to branch on x from (# #) 0.630 * * * [regime]: Found split indices: #