17.969 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (- (* x x) (* y y)) 0.052 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.054 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.056 * * [simplify]: iteration 2 : 32 enodes (cost 3 ) 0.058 * * [simplify]: iteration 3 : 58 enodes (cost 3 ) 0.060 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.064 * * [simplify]: iteration 5 : 207 enodes (cost 3 ) 0.069 * * [simplify]: iteration 6 : 393 enodes (cost 3 ) 0.080 * * [simplify]: iteration 7 : 1794 enodes (cost 3 ) 0.132 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.132 * [simplify]: Simplified to: (- (* x x) (* y y)) 0.133 * * [progress]: iteration 1 / 4 0.133 * * * [progress]: picking best candidate 0.134 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.141 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.141 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (- (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 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.171 * * * [progress]: simplifying candidates 0.172 * [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)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.175 * * [simplify]: iteration 0 : 93 enodes (cost 83 ) 0.177 * * [simplify]: iteration 1 : 375 enodes (cost 72 ) 0.183 * * [simplify]: iteration 2 : 1243 enodes (cost 72 ) 0.209 * * [simplify]: iteration 3 : 5001 enodes (cost 72 ) 0.210 * [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)) (- (* y y)) (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.210 * * * [progress]: adding candidates to table 0.236 * * [progress]: iteration 2 / 4 0.236 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.244 * * * [progress]: generating rewritten candidates 0.244 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.262 * * * [progress]: generating series expansions 0.262 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.262 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.263 * [taylor]: Taking taylor expansion of (+ x y) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (- x y) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.263 * [taylor]: Taking taylor expansion of (+ x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (- x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.263 * [taylor]: Taking taylor expansion of (+ x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (- x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of -1 in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.269 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of 1 in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.287 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.287 * [taylor]: Taking taylor expansion of -1 in y 0.287 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 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 0.288 * [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 0.288 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.288 * [taylor]: Taking taylor expansion of -1 in x 0.288 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 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 (- (/ 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 0.290 * [taylor]: Taking taylor expansion of 1 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.305 * * * [progress]: simplifying candidates 0.305 * [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)) 0.309 * * [simplify]: iteration 0 : 196 enodes (cost 201 ) 0.313 * * [simplify]: iteration 1 : 986 enodes (cost 187 ) 0.334 * * [simplify]: iteration 2 : 5001 enodes (cost 187 ) 0.336 * [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)) 0.336 * * * [progress]: adding candidates to table 0.394 * * [progress]: iteration 3 / 4 0.394 * * * [progress]: picking best candidate 0.395 * * * * [pick]: Picked # 0.395 * * * [progress]: localizing error 0.401 * * * [progress]: generating rewritten candidates 0.402 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.411 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.423 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.431 * * * [progress]: generating series expansions 0.431 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.431 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (+ x y) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (+ x y) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (+ x y) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of 1 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.438 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of 1 in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 1 in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.460 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.460 * [approximate]: Taking taylor expansion of (* -1 (* y (+ x y))) in (y x) around 0 0.460 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.460 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (+ x y) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.460 * [taylor]: Taking taylor expansion of -1 in y 0.460 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (+ x y) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (* -1 (* y (+ x y))) in y 0.460 * [taylor]: Taking taylor expansion of -1 in y 0.460 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (+ x y) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of 0 in x 0.461 * [taylor]: Taking taylor expansion of (- x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (- 1) in x 0.463 * [taylor]: Taking taylor expansion of 1 in x 0.465 * [taylor]: Taking taylor expansion of 0 in x 0.468 * [taylor]: Taking taylor expansion of 0 in x 0.468 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.468 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.468 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.469 * [taylor]: Taking taylor expansion of -1 in y 0.469 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.470 * [taylor]: Taking taylor expansion of -1 in y 0.470 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of 0 in x 0.478 * [taylor]: Taking taylor expansion of 0 in x 0.482 * [taylor]: Taking taylor expansion of 0 in x 0.483 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in (y x) around 0 0.483 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in x 0.483 * [taylor]: Taking taylor expansion of -1 in x 0.483 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.483 * [taylor]: Taking taylor expansion of -1 in y 0.483 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) y)) in y 0.484 * [taylor]: Taking taylor expansion of -1 in y 0.484 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.487 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 0 in x 0.493 * [taylor]: Taking taylor expansion of 0 in x 0.497 * [taylor]: Taking taylor expansion of 0 in x 0.497 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.498 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.498 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of 1 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of 1 in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.518 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.518 * [taylor]: Taking taylor expansion of x in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.521 * [taylor]: Taking taylor expansion of 1 in y 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.533 * * * [progress]: simplifying candidates 0.534 * [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)) 0.539 * * [simplify]: iteration 0 : 413 enodes (cost 456 ) 0.549 * * [simplify]: iteration 1 : 2295 enodes (cost 398 ) 0.600 * * [simplify]: iteration 2 : 5001 enodes (cost 398 ) 0.603 * [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)) 0.603 * * * [progress]: adding candidates to table 0.746 * [progress]: [Phase 3 of 3] Extracting. 0.746 * * [regime]: Finding splitpoints for: (# #) 0.746 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.746 * * * * [regimes]: Trying to branch on y from (# #) 0.757 * * * * [regimes]: Trying to branch on x from (# #) 0.767 * * * [regime]: Found split indices: #