24.249 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (- (* x x) (* y y)) 0.022 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 32 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 58 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.030 * * [simplify]: iteration 5 : 207 enodes (cost 3 ) 0.034 * * [simplify]: iteration 6 : 393 enodes (cost 3 ) 0.043 * * [simplify]: iteration 7 : 1794 enodes (cost 3 ) 0.097 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.098 * [simplify]: Simplified to: (- (* x x) (* y y)) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.099 * * * [progress]: localizing error 0.104 * * * [progress]: generating rewritten candidates 0.104 * * * * [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 (- (pow x 2) (pow y 2)) in (x y) around 0 0.108 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [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 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of 1 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.140 * * * [progress]: simplifying candidates 0.140 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (neg (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (neg (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.143 * * [simplify]: iteration 0 : 93 enodes (cost 83 ) 0.145 * * [simplify]: iteration 1 : 375 enodes (cost 72 ) 0.152 * * [simplify]: iteration 2 : 1243 enodes (cost 72 ) 0.178 * * [simplify]: iteration 3 : 5001 enodes (cost 72 ) 0.179 * [simplify]: Simplified to: (exp (- (* x x) (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (- (* x x) (* y y)) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (+ (pow x 4) (* (* x x) (* y y))) (pow y 4)) (neg (* y y)) (+ (* (neg (pow y 3)) y) (pow x 4)) (+ (* x x) (* y y)) (+ x y) (- x y) (neg (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.179 * * * [progress]: adding candidates to table 0.203 * * [progress]: iteration 2 / 4 0.203 * * * [progress]: picking best candidate 0.204 * * * * [pick]: Picked # 0.204 * * * [progress]: localizing error 0.210 * * * [progress]: generating rewritten candidates 0.210 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.219 * * * [progress]: generating series expansions 0.219 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.220 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.220 * [taylor]: Taking taylor expansion of (+ x y) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (- x y) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.220 * [taylor]: Taking taylor expansion of (+ x y) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (- x y) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.220 * [taylor]: Taking taylor expansion of (+ x y) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (- x y) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of -1 in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 1 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.243 * [taylor]: Taking taylor expansion of -1 in y 0.243 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.243 * [taylor]: Taking taylor expansion of -1 in x 0.244 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.244 * [taylor]: Taking taylor expansion of -1 in x 0.244 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 1 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.262 * * * [progress]: simplifying candidates 0.262 * [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)) 0.268 * * [simplify]: iteration 0 : 196 enodes (cost 201 ) 0.273 * * [simplify]: iteration 1 : 986 enodes (cost 187 ) 0.293 * * [simplify]: iteration 2 : 5001 enodes (cost 187 ) 0.295 * [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)) 0.295 * * * [progress]: adding candidates to table 0.341 * * [progress]: iteration 3 / 4 0.341 * * * [progress]: picking best candidate 0.342 * * * * [pick]: Picked # 0.342 * * * [progress]: localizing error 0.350 * * * [progress]: generating rewritten candidates 0.350 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.357 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.363 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.374 * * * [progress]: generating series expansions 0.374 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.375 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.375 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of 1 in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of 1 in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.407 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.407 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (+ x y) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (+ x y) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (+ x y) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of 1 in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of 1 in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.434 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.434 * [approximate]: Taking taylor expansion of (* -1 (* y (+ x y))) in (y x) around 0 0.435 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (+ x y) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.435 * [taylor]: Taking taylor expansion of -1 in y 0.435 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (+ x y) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.435 * [taylor]: Taking taylor expansion of -1 in y 0.435 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (+ x y) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of 0 in x 0.436 * [taylor]: Taking taylor expansion of (neg x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (neg 1) in x 0.438 * [taylor]: Taking taylor expansion of 1 in x 0.440 * [taylor]: Taking taylor expansion of 0 in x 0.443 * [taylor]: Taking taylor expansion of 0 in x 0.444 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.444 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.444 * [taylor]: Taking taylor expansion of -1 in x 0.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.445 * [taylor]: Taking taylor expansion of -1 in y 0.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.446 * [taylor]: Taking taylor expansion of -1 in y 0.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.446 * [taylor]: Taking taylor expansion of y 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 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.448 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 0 in x 0.458 * [taylor]: Taking taylor expansion of 0 in x 0.462 * [taylor]: Taking taylor expansion of 0 in x 0.462 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.462 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.462 * [taylor]: Taking taylor expansion of -1 in x 0.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.463 * [taylor]: Taking taylor expansion of -1 in y 0.463 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.464 * [taylor]: Taking taylor expansion of -1 in y 0.464 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of -1 in x 0.467 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of 0 in x 0.473 * [taylor]: Taking taylor expansion of 0 in x 0.477 * [taylor]: Taking taylor expansion of 0 in x 0.478 * * * [progress]: simplifying candidates 0.479 * [simplify]: Simplifying using # : (* (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))) (* 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))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (+ (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))) 0.484 * * [simplify]: iteration 0 : 413 enodes (cost 456 ) 0.493 * * [simplify]: iteration 1 : 2306 enodes (cost 398 ) 0.543 * * [simplify]: iteration 2 : 5001 enodes (cost 398 ) 0.546 * [simplify]: Simplified to: (exp (- (* x x) (* y y))) (+ (log (+ x y)) (log (- x y))) (exp (- (* x x) (* y 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)) (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))) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* (neg y) (+ x y)) (* (neg y) (+ x y)) (* (neg y) (+ x y)) 0.546 * * * [progress]: adding candidates to table 0.661 * [progress]: [Phase 3 of 3] Extracting. 0.661 * * [regime]: Finding splitpoints for: (# #) 0.661 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.661 * * * * [regimes]: Trying to branch on y from (# #) 0.672 * * * * [regimes]: Trying to branch on x from (# #) 0.682 * * * [regime]: Found split indices: #