17.277 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (* (+ x y) (- x y)) 0.022 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 24 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 130 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 205 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 295 enodes (cost 3 ) 0.035 * * [simplify]: iteration 6 : 446 enodes (cost 3 ) 0.042 * * [simplify]: iteration 7 : 1303 enodes (cost 3 ) 0.079 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.079 * [simplify]: Simplified to: (* (+ x y) (- x y)) 0.079 * * [progress]: iteration 1 / 4 0.079 * * * [progress]: picking best candidate 0.081 * * * * [pick]: Picked # 0.081 * * * [progress]: localizing error 0.085 * * * [progress]: generating rewritten candidates 0.085 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.095 * * * [progress]: generating series expansions 0.095 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.095 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.095 * [taylor]: Taking taylor expansion of (+ x y) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of (- x y) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.095 * [taylor]: Taking taylor expansion of (+ x y) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (- x y) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.095 * [taylor]: Taking taylor expansion of (+ x y) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (- x y) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of -1 in y 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.105 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of 1 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.120 * [taylor]: Taking taylor expansion of -1 in y 0.120 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.122 * [taylor]: Taking taylor expansion of -1 in x 0.122 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of 1 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.139 * * * [progress]: simplifying candidates 0.140 * [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) (neg y)) (* (+ x y) x) (* (+ x y) (neg y)) (* x (+ x y)) (* (neg y) (+ x y)) (* x (+ x y)) (* (neg 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)) 0.144 * * [simplify]: iteration 0 : 196 enodes (cost 201 ) 0.148 * * [simplify]: iteration 1 : 986 enodes (cost 187 ) 0.170 * * [simplify]: iteration 2 : 5001 enodes (cost 187 ) 0.171 * [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)) (* (neg y) (+ x y)) (* x (+ x y)) (* (neg y) (+ x y)) (* x (+ x y)) (* (neg y) (+ x y)) (* x (+ x y)) (* (neg 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)) 0.171 * * * [progress]: adding candidates to table 0.218 * * [progress]: iteration 2 / 4 0.218 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.225 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.231 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.238 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.247 * * * [progress]: generating series expansions 0.247 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.247 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.247 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of (+ x y) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (+ x y) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (+ x y) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of 1 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of 1 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of 1 in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.273 * [approximate]: Taking taylor expansion of (* -1 (* y (+ x y))) in (y x) around 0 0.273 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in x 0.273 * [taylor]: Taking taylor expansion of -1 in x 0.273 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (+ x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.273 * [taylor]: Taking taylor expansion of -1 in y 0.273 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (+ x y) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.273 * [taylor]: Taking taylor expansion of -1 in y 0.273 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (+ x y) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 0 in x 0.274 * [taylor]: Taking taylor expansion of (neg x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (neg 1) in x 0.275 * [taylor]: Taking taylor expansion of 1 in x 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.281 * [taylor]: Taking taylor expansion of 0 in x 0.284 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.284 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.284 * [taylor]: Taking taylor expansion of -1 in y 0.284 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.285 * [taylor]: Taking taylor expansion of -1 in y 0.285 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.288 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 0 in x 0.294 * [taylor]: Taking taylor expansion of 0 in x 0.297 * [taylor]: Taking taylor expansion of 0 in x 0.298 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.298 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.298 * [taylor]: Taking taylor expansion of -1 in x 0.298 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.299 * [taylor]: Taking taylor expansion of -1 in y 0.299 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.300 * [taylor]: Taking taylor expansion of -1 in y 0.300 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of -1 in x 0.302 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of 0 in x 0.308 * [taylor]: Taking taylor expansion of 0 in x 0.312 * [taylor]: Taking taylor expansion of 0 in x 0.312 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.312 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.312 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.313 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [taylor]: Taking taylor expansion of 1 in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of 1 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.331 * [taylor]: Taking taylor expansion of x 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 (pow x 2)) (/ 1 (pow y 2))) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x 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 (pow x 2)) (/ 1 (pow y 2))) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x 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 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of 1 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) 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 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.342 * * * [progress]: simplifying candidates 0.343 * [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))) (* (neg y) (+ x y)) (+ (log (neg y)) (log (+ x y))) (log (* (neg y) (+ x y))) (exp (* (neg y) (+ x y))) (* (* (* (neg y) (neg y)) (neg y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (neg y) (+ x y))) (cbrt (* (neg y) (+ x y)))) (cbrt (* (neg y) (+ x y))) (* (* (* (neg y) (+ x y)) (* (neg y) (+ x y))) (* (neg y) (+ x y))) (sqrt (* (neg y) (+ x y))) (sqrt (* (neg y) (+ x y))) (* (sqrt (neg y)) (sqrt (+ x y))) (* (sqrt (neg y)) (sqrt (+ x y))) (* y (+ x y)) (* (neg y) x) (* (neg y) y) (* x (neg y)) (* y (neg y)) (* (neg y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (neg y) (sqrt (+ x y))) (* (neg y) 1) (* (neg y) 1) (* (cbrt (neg y)) (+ x y)) (* (sqrt (neg y)) (+ x y)) (* (neg y) (+ x y)) (* y (+ x y)) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* (neg (cbrt y)) (+ x y)) (* (neg (sqrt y)) (+ x y)) (* (neg y) (+ x y)) (* (neg y) (+ (pow x 3) (pow y 3))) (* (neg y) (- (* x x) (* y y))) (* (exp (* x (+ x y))) (exp (* (neg y) (+ x y)))) (log (+ (* x (+ x y)) (* (neg y) (+ x y)))) (exp (+ (* x (+ x y)) (* (neg y) (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* (neg y) (+ x y)))) (cbrt (+ (* x (+ x y)) (* (neg y) (+ x y))))) (cbrt (+ (* x (+ x y)) (* (neg y) (+ x y)))) (* (* (+ (* x (+ x y)) (* (neg y) (+ x y))) (+ (* x (+ x y)) (* (neg y) (+ x y)))) (+ (* x (+ x y)) (* (neg y) (+ x y)))) (sqrt (+ (* x (+ x y)) (* (neg y) (+ x y)))) (sqrt (+ (* x (+ x y)) (* (neg y) (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (neg 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))) (* (neg 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) (* (neg y) (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* (neg y) (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* (neg y) (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* (neg y) (+ x y)) (* (neg y) (+ x y))) (* (* x (+ x y)) (* (neg y) (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* (neg y) (+ x y)) (* (neg y) (+ x y)))) (- (* x (+ x y)) (* (neg y) (+ x y))) (+ x (neg y)) (+ (* x (+ x y)) (* (neg y) x)) (+ (* x (+ x y)) (* x (neg y))) (+ (* x y) (* (neg y) (+ x y))) (+ (* y x) (* (neg y) (+ x y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (neg (+ (pow y 2) (* x y))) (neg (+ (pow y 2) (* x y))) (neg (+ (pow y 2) (* x y))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.348 * * [simplify]: iteration 0 : 413 enodes (cost 456 ) 0.357 * * [simplify]: iteration 1 : 2295 enodes (cost 398 ) 0.405 * * [simplify]: iteration 2 : 5001 enodes (cost 398 ) 0.408 * [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))) (* (neg y) (+ x y)) (log (* (neg y) (+ x y))) (log (* (neg y) (+ x y))) (exp (* (neg y) (+ x y))) (pow (* (neg y) (+ x y)) 3) (* (cbrt (* (neg y) (+ x y))) (cbrt (* (neg y) (+ x y)))) (cbrt (* (neg y) (+ x y))) (pow (* (neg y) (+ x y)) 3) (sqrt (* (neg y) (+ x y))) (sqrt (* (neg y) (+ x y))) (* (sqrt (neg y)) (sqrt (+ x y))) (* (sqrt (neg y)) (sqrt (+ x y))) (* y (+ x y)) (* (neg y) x) (* (neg y) y) (* (neg y) x) (* (neg y) y) (* (neg y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (neg y) (sqrt (+ x y))) (neg y) (neg y) (* (cbrt (neg y)) (+ x y)) (* (sqrt (neg y)) (+ x y)) (* (neg y) (+ x y)) (* y (+ x y)) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* (neg (cbrt y)) (+ x y)) (* (neg (sqrt y)) (+ x y)) (* (neg y) (+ x y)) (* (neg y) (+ (pow x 3) (pow y 3))) (* (neg 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)) (* (neg y) (+ x y)))) (cbrt (+ (* x (+ x y)) (* (neg y) (+ x y))))) (cbrt (+ (* x (+ x y)) (* (neg y) (+ x y)))) (pow (- (* x x) (* y y)) 3) (sqrt (+ (* x (+ x y)) (* (neg y) (+ x y)))) (sqrt (+ (* x (+ x y)) (* (neg y) (+ x y)))) (* (+ (* y (- y x)) (pow x 2)) (+ (* (neg 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))) (* (neg 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) (* (neg y) (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- x y) (+ (* (neg y) (- (* x x) (* y y))) (* x (- (* x x) (* y y))))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow (neg 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)) (* (neg y) (+ x y)) (* (neg y) (+ x y)) (* (neg y) (+ x y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.408 * * * [progress]: adding candidates to table 0.515 * [progress]: [Phase 3 of 3] Extracting. 0.516 * * [regime]: Finding splitpoints for: (# #) 0.516 * * * [regime-changes]: Trying 3 branch expressions: ((* (+ x y) (- x y)) y x) 0.516 * * * * [regimes]: Trying to branch on (* (+ x y) (- x y)) from (# #) 0.526 * * * * [regimes]: Trying to branch on y from (# #) 0.538 * * * * [regimes]: Trying to branch on x from (# #) 0.548 * * * [regime]: Found split indices: #