21.883 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: Extracting # 3 : cost 0 0.038 * * [simplify]: Extracting # 4 : cost 0 0.038 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: Extracting # 1 : cost 0 0.039 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: Extracting # 1 : cost 0 0.045 * * [simplify]: Extracting # 2 : cost 0 0.045 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.056 * * [simplify]: Extracting # 0 : cost 0 0.056 * * [simplify]: Extracting # 1 : cost 0 0.056 * * [simplify]: Extracting # 2 : cost 0 0.056 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: iteration 4 : 72 enodes (cost 7 ) 0.104 * * [simplify]: Extracting # 0 : cost 0 0.104 * * [simplify]: Extracting # 1 : cost 0 0.105 * * [simplify]: Extracting # 2 : cost 0 0.105 * * [simplify]: iteration 5 : 88 enodes (cost 7 ) 0.134 * * [simplify]: Extracting # 0 : cost 0 0.134 * * [simplify]: iteration 6 : 97 enodes (cost 7 ) 0.150 * * [simplify]: Extracting # 0 : cost 0 0.151 * * [simplify]: iteration 7 : 103 enodes (cost 7 ) 0.183 * * [simplify]: Extracting # 0 : cost 0 0.183 * * [simplify]: iteration done: 103 enodes (cost 7 ) 0.183 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.184 * * [progress]: iteration 1 / 4 0.184 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.187 * * * [progress]: localizing error 0.194 * * * [progress]: generating rewritten candidates 0.194 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.244 * * * [progress]: generating series expansions 0.244 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.244 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.244 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.244 * [taylor]: Taking taylor expansion of (+ x y) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.245 * [backup-simplify]: Simplify x into x 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (+ x 0) into x 0.245 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.245 * [taylor]: Taking taylor expansion of (+ x y) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [backup-simplify]: Simplify y into y 0.245 * [backup-simplify]: Simplify (+ 0 y) into y 0.245 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.245 * [taylor]: Taking taylor expansion of (+ x y) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [backup-simplify]: Simplify y into y 0.245 * [backup-simplify]: Simplify (+ 0 y) into y 0.245 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.246 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.246 * [taylor]: Taking taylor expansion of 2 in y 0.246 * [backup-simplify]: Simplify 2 into 2 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* 2 0) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.248 * [taylor]: Taking taylor expansion of 1 in y 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.249 * [backup-simplify]: Simplify 2 into 2 0.249 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.250 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.250 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [backup-simplify]: Simplify x into x 0.251 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.251 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [backup-simplify]: Simplify y into y 0.251 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (+ 0 1) into 1 0.252 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) 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 * [backup-simplify]: Simplify y into y 0.252 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [backup-simplify]: Simplify (+ 0 1) into 1 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of 1 in y 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.255 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.255 * [taylor]: Taking taylor expansion of 2 in y 0.255 * [backup-simplify]: Simplify 2 into 2 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (* 2 1) into 2 0.260 * [backup-simplify]: Simplify 2 into 2 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.261 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.261 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.261 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [backup-simplify]: Simplify x into x 0.261 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [backup-simplify]: Simplify y into y 0.262 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (+ 0 1) into 1 0.263 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) 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 * [backup-simplify]: Simplify y into y 0.263 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (+ 0 1) into 1 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of 1 in y 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.266 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.266 * [taylor]: Taking taylor expansion of 2 in y 0.266 * [backup-simplify]: Simplify 2 into 2 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 2 1) into 2 0.270 * [backup-simplify]: Simplify 2 into 2 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.271 * * * [progress]: simplifying candidates 0.272 * [simplify]: Simplifying: (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (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)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) 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) 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) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.273 * * [simplify]: Extracting # 0 : cost 0 0.274 * * [simplify]: Extracting # 1 : cost 0 0.274 * * [simplify]: Extracting # 2 : cost 0 0.274 * * [simplify]: Extracting # 3 : cost 0 0.274 * * [simplify]: Extracting # 4 : cost 0 0.274 * * [simplify]: Extracting # 5 : cost 0 0.275 * * [simplify]: Extracting # 6 : cost 0 0.275 * * [simplify]: Extracting # 7 : cost 0 0.275 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.307 * * [simplify]: Extracting # 0 : cost 0 0.307 * * [simplify]: Extracting # 1 : cost 0 0.308 * * [simplify]: Extracting # 2 : cost 0 0.308 * * [simplify]: Extracting # 3 : cost 0 0.309 * * [simplify]: Extracting # 4 : cost 0 0.309 * * [simplify]: iteration 1 : 187 enodes (cost 453 ) 0.465 * * [simplify]: Extracting # 0 : cost 0 0.467 * * [simplify]: Extracting # 1 : cost 0 0.468 * * [simplify]: Extracting # 2 : cost 0 0.470 * * [simplify]: Extracting # 3 : cost 0 0.472 * * [simplify]: Extracting # 4 : cost 0 0.479 * * [simplify]: iteration 2 : 742 enodes (cost 407 ) 1.521 * * [simplify]: Extracting # 0 : cost 0 1.526 * * [simplify]: Extracting # 1 : cost 0 1.531 * * [simplify]: Extracting # 2 : cost 0 1.534 * * [simplify]: Extracting # 3 : cost 0 1.538 * * [simplify]: Extracting # 4 : cost 0 1.541 * * [simplify]: Extracting # 5 : cost 0 1.549 * * [simplify]: iteration 3 : 3329 enodes (cost 376 ) 3.263 * * [simplify]: Extracting # 0 : cost 0 3.276 * * [simplify]: Extracting # 1 : cost 0 3.282 * * [simplify]: Extracting # 2 : cost 0 3.289 * * [simplify]: Extracting # 3 : cost 0 3.299 * * [simplify]: Extracting # 4 : cost 0 3.309 * * [simplify]: iteration done: 5000 enodes (cost 373 ) 3.310 * [simplify]: Simplified to: 2 (pow (sqrt (+ x y)) 4) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (* (cbrt (pow (sqrt (+ x y)) 4)) (cbrt (pow (sqrt (+ x y)) 4))) (cbrt (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (* y (- y x))) (+ (* x x) (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (* y (- y x))) (- x y)) (* (* (- x y) (- x y)) (pow (sqrt (+ x y)) 4)) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) (+ x y) (+ x y) 2 (* (+ x y) x) (* (+ x y) y) (* (+ x y) x) (* (+ x y) y) (pow (cbrt (+ x y)) (+ 4 1)) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 4) (pow (sqrt (+ x y)) 4) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- x y) (pow (sqrt (+ x y)) 4)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- x y) (pow (sqrt (+ x y)) 4)) (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x)) 3.310 * * * [progress]: adding candidates to table 3.368 * * [progress]: iteration 2 / 4 3.368 * * * [progress]: picking best candidate 3.371 * * * * [pick]: Picked # 3.371 * * * [progress]: localizing error 3.386 * * * [progress]: generating rewritten candidates 3.386 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 3.435 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.476 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.506 * * * [progress]: generating series expansions 3.506 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 3.506 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 3.506 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 3.506 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 3.506 * [taylor]: Taking taylor expansion of y in y 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [taylor]: Taking taylor expansion of (+ x y) in y 3.506 * [taylor]: Taking taylor expansion of x in y 3.506 * [backup-simplify]: Simplify x into x 3.506 * [taylor]: Taking taylor expansion of y in y 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 3.506 * [taylor]: Taking taylor expansion of y in x 3.506 * [backup-simplify]: Simplify y into y 3.506 * [taylor]: Taking taylor expansion of (+ x y) in x 3.506 * [taylor]: Taking taylor expansion of x in x 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [taylor]: Taking taylor expansion of y in x 3.506 * [backup-simplify]: Simplify y into y 3.506 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 3.506 * [taylor]: Taking taylor expansion of y in x 3.506 * [backup-simplify]: Simplify y into y 3.506 * [taylor]: Taking taylor expansion of (+ x y) in x 3.506 * [taylor]: Taking taylor expansion of x in x 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [taylor]: Taking taylor expansion of y in x 3.506 * [backup-simplify]: Simplify y into y 3.507 * [backup-simplify]: Simplify (+ 0 y) into y 3.507 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.507 * [taylor]: Taking taylor expansion of y in y 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (+ 1 0) into 1 3.507 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 3.507 * [taylor]: Taking taylor expansion of y in y 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 3.508 * [taylor]: Taking taylor expansion of 0 in y 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify (* 1 1) into 1 3.508 * [backup-simplify]: Simplify 1 into 1 3.509 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 3.509 * [taylor]: Taking taylor expansion of 0 in y 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify (+ 0 0) into 0 3.511 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 3.511 * [taylor]: Taking taylor expansion of 0 in y 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 3.511 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 3.511 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 3.511 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 3.511 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.511 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.511 * [taylor]: Taking taylor expansion of y in y 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.511 * [backup-simplify]: Simplify (/ 1 1) into 1 3.511 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.511 * [taylor]: Taking taylor expansion of x in y 3.511 * [backup-simplify]: Simplify x into x 3.511 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.511 * [taylor]: Taking taylor expansion of y in y 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (+ 1 0) into 1 3.512 * [backup-simplify]: Simplify (/ 1 1) into 1 3.512 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.512 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.512 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.512 * [taylor]: Taking taylor expansion of y in x 3.512 * [backup-simplify]: Simplify y into y 3.512 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.512 * [taylor]: Taking taylor expansion of x in x 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (/ 1 1) into 1 3.512 * [taylor]: Taking taylor expansion of y in x 3.512 * [backup-simplify]: Simplify y into y 3.513 * [backup-simplify]: Simplify (+ 0 1) into 1 3.513 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.513 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.513 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.513 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.513 * [taylor]: Taking taylor expansion of y in x 3.513 * [backup-simplify]: Simplify y into y 3.513 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.513 * [taylor]: Taking taylor expansion of x in x 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [backup-simplify]: Simplify (/ 1 1) into 1 3.513 * [taylor]: Taking taylor expansion of y in x 3.513 * [backup-simplify]: Simplify y into y 3.514 * [backup-simplify]: Simplify (+ 0 1) into 1 3.514 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.514 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.514 * [taylor]: Taking taylor expansion of y in y 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (/ 1 1) into 1 3.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.515 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.515 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.515 * [taylor]: Taking taylor expansion of y in y 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (* 1 1) into 1 3.515 * [backup-simplify]: Simplify (/ 1 1) into 1 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ 0 0) into 0 3.516 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 3.516 * [taylor]: Taking taylor expansion of 0 in y 3.516 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.519 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.519 * [taylor]: Taking taylor expansion of 0 in y 3.519 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.520 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.522 * [taylor]: Taking taylor expansion of 0 in y 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 3.523 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 3.523 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 3.523 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 3.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.524 * [taylor]: Taking taylor expansion of y in y 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [backup-simplify]: Simplify (/ 1 1) into 1 3.524 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.524 * [taylor]: Taking taylor expansion of x in y 3.524 * [backup-simplify]: Simplify x into x 3.524 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.524 * [taylor]: Taking taylor expansion of y in y 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [backup-simplify]: Simplify (+ 1 0) into 1 3.524 * [backup-simplify]: Simplify (/ 1 1) into 1 3.525 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.525 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.525 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.525 * [taylor]: Taking taylor expansion of y in x 3.525 * [backup-simplify]: Simplify y into y 3.525 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.525 * [taylor]: Taking taylor expansion of x in x 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify (/ 1 1) into 1 3.525 * [taylor]: Taking taylor expansion of y in x 3.525 * [backup-simplify]: Simplify y into y 3.525 * [backup-simplify]: Simplify (+ 0 1) into 1 3.526 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.526 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.526 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.526 * [taylor]: Taking taylor expansion of y in x 3.526 * [backup-simplify]: Simplify y into y 3.526 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.526 * [taylor]: Taking taylor expansion of x in x 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (/ 1 1) into 1 3.526 * [taylor]: Taking taylor expansion of y in x 3.526 * [backup-simplify]: Simplify y into y 3.526 * [backup-simplify]: Simplify (+ 0 1) into 1 3.526 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.526 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.526 * [taylor]: Taking taylor expansion of y in y 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.527 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.527 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 3.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.527 * [taylor]: Taking taylor expansion of y in y 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (* 1 1) into 1 3.528 * [backup-simplify]: Simplify (/ 1 1) into 1 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ 0 0) into 0 3.529 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 3.529 * [taylor]: Taking taylor expansion of 0 in y 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.532 * [taylor]: Taking taylor expansion of 0 in y 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (+ 0 0) into 0 3.535 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.535 * [taylor]: Taking taylor expansion of 0 in y 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 3.536 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.536 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 3.536 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 3.536 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 3.536 * [taylor]: Taking taylor expansion of x in y 3.536 * [backup-simplify]: Simplify x into x 3.536 * [taylor]: Taking taylor expansion of (+ x y) in y 3.536 * [taylor]: Taking taylor expansion of x in y 3.536 * [backup-simplify]: Simplify x into x 3.536 * [taylor]: Taking taylor expansion of y in y 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.536 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 3.536 * [taylor]: Taking taylor expansion of x in x 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.536 * [taylor]: Taking taylor expansion of (+ x y) in x 3.536 * [taylor]: Taking taylor expansion of x in x 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.536 * [taylor]: Taking taylor expansion of y in x 3.536 * [backup-simplify]: Simplify y into y 3.536 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 3.537 * [taylor]: Taking taylor expansion of x in x 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [taylor]: Taking taylor expansion of (+ x y) in x 3.537 * [taylor]: Taking taylor expansion of x in x 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [taylor]: Taking taylor expansion of y in x 3.537 * [backup-simplify]: Simplify y into y 3.537 * [backup-simplify]: Simplify (+ 0 y) into y 3.537 * [backup-simplify]: Simplify (* 0 y) into 0 3.537 * [taylor]: Taking taylor expansion of 0 in y 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify (+ 1 0) into 1 3.541 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 3.541 * [taylor]: Taking taylor expansion of y in y 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (+ 0 0) into 0 3.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 3.542 * [taylor]: Taking taylor expansion of 1 in y 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify (+ 0 0) into 0 3.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 3.543 * [taylor]: Taking taylor expansion of 0 in y 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify (+ 0 0) into 0 3.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 3.544 * [taylor]: Taking taylor expansion of 0 in y 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 3.545 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 3.545 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.545 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 3.545 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.545 * [taylor]: Taking taylor expansion of y in y 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (/ 1 1) into 1 3.545 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.545 * [taylor]: Taking taylor expansion of x in y 3.545 * [backup-simplify]: Simplify x into x 3.545 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.545 * [taylor]: Taking taylor expansion of x in y 3.545 * [backup-simplify]: Simplify x into x 3.545 * [backup-simplify]: Simplify (+ 1 0) into 1 3.545 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.545 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.545 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.545 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.545 * [taylor]: Taking taylor expansion of y in x 3.545 * [backup-simplify]: Simplify y into y 3.546 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.546 * [taylor]: Taking taylor expansion of x in x 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (/ 1 1) into 1 3.546 * [taylor]: Taking taylor expansion of x in x 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (+ 0 1) into 1 3.546 * [backup-simplify]: Simplify (/ 1 1) into 1 3.546 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.546 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.546 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.546 * [taylor]: Taking taylor expansion of y in x 3.546 * [backup-simplify]: Simplify y into y 3.547 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.547 * [taylor]: Taking taylor expansion of x in x 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [backup-simplify]: Simplify (/ 1 1) into 1 3.547 * [taylor]: Taking taylor expansion of x in x 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [backup-simplify]: Simplify (+ 0 1) into 1 3.547 * [backup-simplify]: Simplify (/ 1 1) into 1 3.547 * [taylor]: Taking taylor expansion of 1 in y 3.547 * [backup-simplify]: Simplify 1 into 1 3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.548 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.548 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 3.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.548 * [taylor]: Taking taylor expansion of y in y 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (/ 1 1) into 1 3.549 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (+ 0 0) into 0 3.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 3.550 * [taylor]: Taking taylor expansion of 0 in y 3.550 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (+ 0 0) into 0 3.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.553 * [taylor]: Taking taylor expansion of 0 in y 3.553 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ 0 0) into 0 3.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.556 * [taylor]: Taking taylor expansion of 0 in y 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 3.556 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 3.556 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.556 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 3.556 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.556 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.556 * [taylor]: Taking taylor expansion of y in y 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 1 into 1 3.557 * [backup-simplify]: Simplify (/ 1 1) into 1 3.557 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.557 * [taylor]: Taking taylor expansion of x in y 3.557 * [backup-simplify]: Simplify x into x 3.557 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.557 * [taylor]: Taking taylor expansion of x in y 3.557 * [backup-simplify]: Simplify x into x 3.557 * [backup-simplify]: Simplify (+ 1 0) into 1 3.557 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.557 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.557 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.557 * [taylor]: Taking taylor expansion of y in x 3.557 * [backup-simplify]: Simplify y into y 3.557 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.557 * [taylor]: Taking taylor expansion of x in x 3.557 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify 1 into 1 3.558 * [backup-simplify]: Simplify (/ 1 1) into 1 3.558 * [taylor]: Taking taylor expansion of x in x 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify 1 into 1 3.558 * [backup-simplify]: Simplify (+ 0 1) into 1 3.558 * [backup-simplify]: Simplify (/ 1 1) into 1 3.558 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.558 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.558 * [taylor]: Taking taylor expansion of y in x 3.558 * [backup-simplify]: Simplify y into y 3.558 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.558 * [taylor]: Taking taylor expansion of x in x 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify 1 into 1 3.559 * [backup-simplify]: Simplify (/ 1 1) into 1 3.559 * [taylor]: Taking taylor expansion of x in x 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify 1 into 1 3.559 * [backup-simplify]: Simplify (+ 0 1) into 1 3.559 * [backup-simplify]: Simplify (/ 1 1) into 1 3.559 * [taylor]: Taking taylor expansion of 1 in y 3.559 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.560 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 3.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.560 * [taylor]: Taking taylor expansion of y in y 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify (/ 1 1) into 1 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify 1 into 1 3.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.561 * [backup-simplify]: Simplify (+ 0 0) into 0 3.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 3.562 * [taylor]: Taking taylor expansion of 0 in y 3.562 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.565 * [taylor]: Taking taylor expansion of 0 in y 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify (+ 0 0) into 0 3.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.568 * [taylor]: Taking taylor expansion of 0 in y 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 3.568 * * * * [progress]: [ 3 / 3 ] generating series at (2) 3.568 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.568 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 3.568 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 3.568 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.568 * [taylor]: Taking taylor expansion of x in y 3.568 * [backup-simplify]: Simplify x into x 3.568 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.568 * [taylor]: Taking taylor expansion of y in y 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify 1 into 1 3.568 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.568 * [taylor]: Taking taylor expansion of 2 in y 3.568 * [backup-simplify]: Simplify 2 into 2 3.568 * [taylor]: Taking taylor expansion of (* x y) in y 3.568 * [taylor]: Taking taylor expansion of x in y 3.568 * [backup-simplify]: Simplify x into x 3.568 * [taylor]: Taking taylor expansion of y in y 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify 1 into 1 3.568 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.569 * [taylor]: Taking taylor expansion of x in x 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.569 * [taylor]: Taking taylor expansion of y in x 3.569 * [backup-simplify]: Simplify y into y 3.569 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.569 * [taylor]: Taking taylor expansion of 2 in x 3.569 * [backup-simplify]: Simplify 2 into 2 3.569 * [taylor]: Taking taylor expansion of (* x y) in x 3.569 * [taylor]: Taking taylor expansion of x in x 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of y in x 3.569 * [backup-simplify]: Simplify y into y 3.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.569 * [taylor]: Taking taylor expansion of x in x 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.569 * [taylor]: Taking taylor expansion of y in x 3.569 * [backup-simplify]: Simplify y into y 3.569 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.569 * [taylor]: Taking taylor expansion of 2 in x 3.569 * [backup-simplify]: Simplify 2 into 2 3.569 * [taylor]: Taking taylor expansion of (* x y) in x 3.569 * [taylor]: Taking taylor expansion of x in x 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of y in x 3.569 * [backup-simplify]: Simplify y into y 3.569 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.569 * [backup-simplify]: Simplify (* 0 y) into 0 3.569 * [backup-simplify]: Simplify (* 2 0) into 0 3.570 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.570 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.570 * [taylor]: Taking taylor expansion of y in y 3.570 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.570 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.570 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 3.570 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.570 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.570 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.570 * [taylor]: Taking taylor expansion of 2 in y 3.571 * [backup-simplify]: Simplify 2 into 2 3.571 * [taylor]: Taking taylor expansion of y in y 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [backup-simplify]: Simplify (* 2 0) into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify (* 1 1) into 1 3.571 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 3.573 * [backup-simplify]: Simplify (+ 0 0) into 0 3.573 * [backup-simplify]: Simplify (+ 1 0) into 1 3.573 * [taylor]: Taking taylor expansion of 1 in y 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.573 * [backup-simplify]: Simplify 2 into 2 3.574 * [backup-simplify]: Simplify (* 1 1) into 1 3.574 * [backup-simplify]: Simplify 1 into 1 3.574 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.574 * [backup-simplify]: Simplify (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.574 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 3.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.574 * [taylor]: Taking taylor expansion of x in y 3.574 * [backup-simplify]: Simplify x into x 3.574 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.574 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.574 * [taylor]: Taking taylor expansion of y in y 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (* 1 1) into 1 3.575 * [backup-simplify]: Simplify (/ 1 1) into 1 3.575 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.575 * [taylor]: Taking taylor expansion of 2 in y 3.575 * [backup-simplify]: Simplify 2 into 2 3.575 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.575 * [taylor]: Taking taylor expansion of (* x y) in y 3.575 * [taylor]: Taking taylor expansion of x in y 3.575 * [backup-simplify]: Simplify x into x 3.575 * [taylor]: Taking taylor expansion of y in y 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (* x 0) into 0 3.576 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.576 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.576 * [taylor]: Taking taylor expansion of x in x 3.576 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [backup-simplify]: Simplify (* 1 1) into 1 3.576 * [backup-simplify]: Simplify (/ 1 1) into 1 3.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.576 * [taylor]: Taking taylor expansion of y in x 3.576 * [backup-simplify]: Simplify y into y 3.576 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.576 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.576 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.576 * [taylor]: Taking taylor expansion of 2 in x 3.576 * [backup-simplify]: Simplify 2 into 2 3.576 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.576 * [taylor]: Taking taylor expansion of (* x y) in x 3.576 * [taylor]: Taking taylor expansion of x in x 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [taylor]: Taking taylor expansion of y in x 3.577 * [backup-simplify]: Simplify y into y 3.577 * [backup-simplify]: Simplify (* 0 y) into 0 3.577 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.577 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.577 * [taylor]: Taking taylor expansion of x in x 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [backup-simplify]: Simplify (* 1 1) into 1 3.578 * [backup-simplify]: Simplify (/ 1 1) into 1 3.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.578 * [taylor]: Taking taylor expansion of y in x 3.578 * [backup-simplify]: Simplify y into y 3.578 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.578 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.578 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.578 * [taylor]: Taking taylor expansion of 2 in x 3.578 * [backup-simplify]: Simplify 2 into 2 3.578 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.578 * [taylor]: Taking taylor expansion of (* x y) in x 3.578 * [taylor]: Taking taylor expansion of x in x 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 1 into 1 3.578 * [taylor]: Taking taylor expansion of y in x 3.578 * [backup-simplify]: Simplify y into y 3.578 * [backup-simplify]: Simplify (* 0 y) into 0 3.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.579 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.579 * [backup-simplify]: Simplify (+ 1 0) into 1 3.579 * [taylor]: Taking taylor expansion of 1 in y 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.580 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.580 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.580 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 3.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.580 * [taylor]: Taking taylor expansion of 2 in y 3.580 * [backup-simplify]: Simplify 2 into 2 3.580 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.580 * [taylor]: Taking taylor expansion of y in y 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [backup-simplify]: Simplify (/ 1 1) into 1 3.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.582 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.583 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.583 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.583 * [taylor]: Taking taylor expansion of y in y 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [backup-simplify]: Simplify (* 1 1) into 1 3.583 * [backup-simplify]: Simplify (/ 1 1) into 1 3.583 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (* 2 1) into 2 3.584 * [backup-simplify]: Simplify 2 into 2 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.584 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.584 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 3.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.584 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.584 * [taylor]: Taking taylor expansion of x in y 3.584 * [backup-simplify]: Simplify x into x 3.584 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.585 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.585 * [taylor]: Taking taylor expansion of y in y 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify (* 1 1) into 1 3.585 * [backup-simplify]: Simplify (/ 1 1) into 1 3.585 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.585 * [taylor]: Taking taylor expansion of 2 in y 3.585 * [backup-simplify]: Simplify 2 into 2 3.585 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.585 * [taylor]: Taking taylor expansion of (* x y) in y 3.585 * [taylor]: Taking taylor expansion of x in y 3.585 * [backup-simplify]: Simplify x into x 3.585 * [taylor]: Taking taylor expansion of y in y 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify (* x 0) into 0 3.586 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.586 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.586 * [taylor]: Taking taylor expansion of x in x 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (* 1 1) into 1 3.586 * [backup-simplify]: Simplify (/ 1 1) into 1 3.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.586 * [taylor]: Taking taylor expansion of y in x 3.586 * [backup-simplify]: Simplify y into y 3.586 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.586 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.587 * [taylor]: Taking taylor expansion of 2 in x 3.587 * [backup-simplify]: Simplify 2 into 2 3.587 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.587 * [taylor]: Taking taylor expansion of (* x y) in x 3.587 * [taylor]: Taking taylor expansion of x in x 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 1 into 1 3.587 * [taylor]: Taking taylor expansion of y in x 3.587 * [backup-simplify]: Simplify y into y 3.587 * [backup-simplify]: Simplify (* 0 y) into 0 3.587 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.587 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.587 * [taylor]: Taking taylor expansion of x in x 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 1 into 1 3.587 * [backup-simplify]: Simplify (* 1 1) into 1 3.588 * [backup-simplify]: Simplify (/ 1 1) into 1 3.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.588 * [taylor]: Taking taylor expansion of y in x 3.588 * [backup-simplify]: Simplify y into y 3.588 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.588 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.588 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.588 * [taylor]: Taking taylor expansion of 2 in x 3.588 * [backup-simplify]: Simplify 2 into 2 3.588 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.588 * [taylor]: Taking taylor expansion of (* x y) in x 3.588 * [taylor]: Taking taylor expansion of x in x 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [taylor]: Taking taylor expansion of y in x 3.588 * [backup-simplify]: Simplify y into y 3.588 * [backup-simplify]: Simplify (* 0 y) into 0 3.588 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.588 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.589 * [backup-simplify]: Simplify (+ 1 0) into 1 3.589 * [taylor]: Taking taylor expansion of 1 in y 3.589 * [backup-simplify]: Simplify 1 into 1 3.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.590 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.590 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 3.590 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.590 * [taylor]: Taking taylor expansion of 2 in y 3.590 * [backup-simplify]: Simplify 2 into 2 3.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.590 * [taylor]: Taking taylor expansion of y in y 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 1 into 1 3.590 * [backup-simplify]: Simplify (/ 1 1) into 1 3.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.592 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.592 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.592 * [taylor]: Taking taylor expansion of y in y 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (* 1 1) into 1 3.593 * [backup-simplify]: Simplify (/ 1 1) into 1 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (* 2 1) into 2 3.593 * [backup-simplify]: Simplify 2 into 2 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.594 * * * [progress]: simplifying candidates 3.596 * [simplify]: Simplifying: (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) 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) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.599 * * [simplify]: Extracting # 0 : cost 0 3.599 * * [simplify]: Extracting # 1 : cost 0 3.599 * * [simplify]: Extracting # 2 : cost 0 3.600 * * [simplify]: Extracting # 3 : cost 0 3.600 * * [simplify]: Extracting # 4 : cost 0 3.600 * * [simplify]: Extracting # 5 : cost 0 3.601 * * [simplify]: Extracting # 6 : cost 0 3.601 * * [simplify]: iteration 0 : 106 enodes (cost 827 ) 3.649 * * [simplify]: Extracting # 0 : cost 0 3.650 * * [simplify]: Extracting # 1 : cost 0 3.650 * * [simplify]: Extracting # 2 : cost 0 3.651 * * [simplify]: Extracting # 3 : cost 0 3.652 * * [simplify]: Extracting # 4 : cost 0 3.652 * * [simplify]: iteration 1 : 293 enodes (cost 718 ) 3.882 * * [simplify]: Extracting # 0 : cost 0 3.884 * * [simplify]: Extracting # 1 : cost 0 3.885 * * [simplify]: Extracting # 2 : cost 0 3.887 * * [simplify]: Extracting # 3 : cost 0 3.888 * * [simplify]: Extracting # 4 : cost 0 3.889 * * [simplify]: iteration 2 : 1097 enodes (cost 636 ) 5.635 * * [simplify]: Extracting # 0 : cost 0 5.650 * * [simplify]: Extracting # 1 : cost 0 5.660 * * [simplify]: Extracting # 2 : cost 0 5.670 * * [simplify]: Extracting # 3 : cost 0 5.680 * * [simplify]: Extracting # 4 : cost 0 5.689 * * [simplify]: iteration 3 : 4979 enodes (cost 610 ) 7.826 * * [simplify]: Extracting # 0 : cost 0 7.836 * * [simplify]: Extracting # 1 : cost 0 7.843 * * [simplify]: Extracting # 2 : cost 0 7.848 * * [simplify]: Extracting # 3 : cost 0 7.858 * * [simplify]: iteration done: 5000 enodes (cost 610 ) 7.858 * [simplify]: Simplified to: (* (+ x y) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (+ x y) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (+ x y) x) (log (* (+ x y) x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (pow (* (+ x y) x) 3) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (pow (* (+ x y) x) 3) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (+ x y) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (exp (* (+ x y) (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (* (+ (* y (- y x)) (* x x)) (+ x y))) (* (+ (* y (- y x)) (* x x)) (+ (* y (- y x)) (* x x))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (* (+ (* y (- y x)) (* x x)) (- (* x x) (* y y))) y)) (* (- x y) (+ (* y (- y x)) (* x x))) (+ (* (- x y) (* (+ (pow x 3) (pow y 3)) y)) (* (* (- (* x x) (* y y)) x) (+ (* y (- y x)) (* x x)))) (* (- x y) (+ (* y (- y x)) (* x x))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* y (* (+ x y) (- y x))) (* (+ x y) (* x x)))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (* (+ x y) y) (* (+ x y) y) (* (+ x y) y) (* (+ x y) x) (* (+ x y) x) (* (+ x y) x) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) (+ (* x x) (* y (+ (* 2 x) y))) 7.859 * * * [progress]: adding candidates to table 8.024 * * [progress]: iteration 3 / 4 8.024 * * * [progress]: picking best candidate 8.025 * * * * [pick]: Picked # 8.025 * * * [progress]: localizing error 8.033 * * * [progress]: generating rewritten candidates 8.033 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 8.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 8.108 * * * [progress]: generating series expansions 8.108 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 8.108 * [backup-simplify]: Simplify (* y (+ (* 2 x) y)) into (* (+ (* 2 x) y) y) 8.109 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 8.109 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 8.109 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 8.109 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.109 * [taylor]: Taking taylor expansion of 2 in x 8.109 * [backup-simplify]: Simplify 2 into 2 8.109 * [taylor]: Taking taylor expansion of x in x 8.109 * [backup-simplify]: Simplify 0 into 0 8.109 * [backup-simplify]: Simplify 1 into 1 8.109 * [taylor]: Taking taylor expansion of y in x 8.109 * [backup-simplify]: Simplify y into y 8.109 * [taylor]: Taking taylor expansion of y in x 8.109 * [backup-simplify]: Simplify y into y 8.109 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 8.109 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 8.109 * [taylor]: Taking taylor expansion of (* 2 x) in y 8.109 * [taylor]: Taking taylor expansion of 2 in y 8.109 * [backup-simplify]: Simplify 2 into 2 8.109 * [taylor]: Taking taylor expansion of x in y 8.109 * [backup-simplify]: Simplify x into x 8.109 * [taylor]: Taking taylor expansion of y in y 8.109 * [backup-simplify]: Simplify 0 into 0 8.109 * [backup-simplify]: Simplify 1 into 1 8.109 * [taylor]: Taking taylor expansion of y in y 8.109 * [backup-simplify]: Simplify 0 into 0 8.109 * [backup-simplify]: Simplify 1 into 1 8.109 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 8.109 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 8.109 * [taylor]: Taking taylor expansion of (* 2 x) in y 8.109 * [taylor]: Taking taylor expansion of 2 in y 8.109 * [backup-simplify]: Simplify 2 into 2 8.109 * [taylor]: Taking taylor expansion of x in y 8.109 * [backup-simplify]: Simplify x into x 8.110 * [taylor]: Taking taylor expansion of y in y 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify 1 into 1 8.110 * [taylor]: Taking taylor expansion of y in y 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify 1 into 1 8.110 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 8.110 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 8.110 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 8.110 * [taylor]: Taking taylor expansion of 0 in x 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 8.112 * [backup-simplify]: Simplify (+ 0 1) into 1 8.112 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 8.112 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.112 * [taylor]: Taking taylor expansion of 2 in x 8.112 * [backup-simplify]: Simplify 2 into 2 8.113 * [taylor]: Taking taylor expansion of x in x 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 1 into 1 8.113 * [backup-simplify]: Simplify (* 2 0) into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 8.114 * [backup-simplify]: Simplify (+ 0 0) into 0 8.115 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 8.115 * [taylor]: Taking taylor expansion of 1 in x 8.115 * [backup-simplify]: Simplify 1 into 1 8.115 * [backup-simplify]: Simplify 1 into 1 8.116 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 8.116 * [backup-simplify]: Simplify 2 into 2 8.116 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.117 * [backup-simplify]: Simplify (+ 0 0) into 0 8.118 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.118 * [taylor]: Taking taylor expansion of 0 in x 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 8.119 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 8.121 * [backup-simplify]: Simplify (+ 0 0) into 0 8.122 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.122 * [taylor]: Taking taylor expansion of 0 in x 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 8.122 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 8.122 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 8.122 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 8.122 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 8.122 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.122 * [taylor]: Taking taylor expansion of y in x 8.122 * [backup-simplify]: Simplify y into y 8.122 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.122 * [taylor]: Taking taylor expansion of 2 in x 8.122 * [backup-simplify]: Simplify 2 into 2 8.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.122 * [taylor]: Taking taylor expansion of x in x 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify 1 into 1 8.123 * [backup-simplify]: Simplify (/ 1 1) into 1 8.123 * [taylor]: Taking taylor expansion of y in x 8.123 * [backup-simplify]: Simplify y into y 8.123 * [backup-simplify]: Simplify (* 2 1) into 2 8.123 * [backup-simplify]: Simplify (+ 0 2) into 2 8.123 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 8.123 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 8.123 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 8.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.123 * [taylor]: Taking taylor expansion of y in y 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify 1 into 1 8.123 * [backup-simplify]: Simplify (/ 1 1) into 1 8.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 8.124 * [taylor]: Taking taylor expansion of 2 in y 8.124 * [backup-simplify]: Simplify 2 into 2 8.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.124 * [taylor]: Taking taylor expansion of x in y 8.124 * [backup-simplify]: Simplify x into x 8.124 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.124 * [taylor]: Taking taylor expansion of y in y 8.124 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify 1 into 1 8.124 * [backup-simplify]: Simplify (+ 1 0) into 1 8.124 * [backup-simplify]: Simplify (/ 1 1) into 1 8.124 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 8.124 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 8.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.124 * [taylor]: Taking taylor expansion of y in y 8.124 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify 1 into 1 8.125 * [backup-simplify]: Simplify (/ 1 1) into 1 8.125 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 8.125 * [taylor]: Taking taylor expansion of 2 in y 8.125 * [backup-simplify]: Simplify 2 into 2 8.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.125 * [taylor]: Taking taylor expansion of x in y 8.125 * [backup-simplify]: Simplify x into x 8.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.125 * [taylor]: Taking taylor expansion of y in y 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify 1 into 1 8.125 * [backup-simplify]: Simplify (+ 1 0) into 1 8.125 * [backup-simplify]: Simplify (/ 1 1) into 1 8.125 * [taylor]: Taking taylor expansion of 1 in x 8.125 * [backup-simplify]: Simplify 1 into 1 8.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.126 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 8.126 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 8.126 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 8.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.126 * [taylor]: Taking taylor expansion of 2 in x 8.126 * [backup-simplify]: Simplify 2 into 2 8.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.126 * [taylor]: Taking taylor expansion of x in x 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [backup-simplify]: Simplify 1 into 1 8.127 * [backup-simplify]: Simplify (/ 1 1) into 1 8.127 * [backup-simplify]: Simplify (* 2 1) into 2 8.127 * [backup-simplify]: Simplify 2 into 2 8.127 * [backup-simplify]: Simplify 1 into 1 8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.128 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 8.128 * [backup-simplify]: Simplify (+ 0 0) into 0 8.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 8.129 * [taylor]: Taking taylor expansion of 0 in x 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.130 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.131 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 8.131 * [backup-simplify]: Simplify (+ 0 0) into 0 8.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.133 * [taylor]: Taking taylor expansion of 0 in x 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 8.136 * [backup-simplify]: Simplify (+ 0 0) into 0 8.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.137 * [taylor]: Taking taylor expansion of 0 in x 8.137 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 8.138 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 8.138 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 8.138 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 8.138 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 8.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.138 * [taylor]: Taking taylor expansion of y in x 8.138 * [backup-simplify]: Simplify y into y 8.138 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.138 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.138 * [taylor]: Taking taylor expansion of 2 in x 8.138 * [backup-simplify]: Simplify 2 into 2 8.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.138 * [taylor]: Taking taylor expansion of x in x 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify 1 into 1 8.138 * [backup-simplify]: Simplify (/ 1 1) into 1 8.138 * [taylor]: Taking taylor expansion of y in x 8.138 * [backup-simplify]: Simplify y into y 8.139 * [backup-simplify]: Simplify (* 2 1) into 2 8.139 * [backup-simplify]: Simplify (+ 0 2) into 2 8.139 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 8.139 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 8.139 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 8.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.139 * [taylor]: Taking taylor expansion of y in y 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (/ 1 1) into 1 8.139 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 8.139 * [taylor]: Taking taylor expansion of 2 in y 8.139 * [backup-simplify]: Simplify 2 into 2 8.139 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.139 * [taylor]: Taking taylor expansion of x in y 8.139 * [backup-simplify]: Simplify x into x 8.139 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.139 * [taylor]: Taking taylor expansion of y in y 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.140 * [backup-simplify]: Simplify (+ 1 0) into 1 8.140 * [backup-simplify]: Simplify (/ 1 1) into 1 8.140 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 8.140 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 8.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.140 * [taylor]: Taking taylor expansion of y in y 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.140 * [backup-simplify]: Simplify (/ 1 1) into 1 8.140 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 8.140 * [taylor]: Taking taylor expansion of 2 in y 8.140 * [backup-simplify]: Simplify 2 into 2 8.140 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.141 * [taylor]: Taking taylor expansion of x in y 8.141 * [backup-simplify]: Simplify x into x 8.141 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.141 * [taylor]: Taking taylor expansion of y in y 8.141 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify (+ 1 0) into 1 8.141 * [backup-simplify]: Simplify (/ 1 1) into 1 8.141 * [taylor]: Taking taylor expansion of 1 in x 8.141 * [backup-simplify]: Simplify 1 into 1 8.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.142 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 8.142 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 8.142 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 8.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.142 * [taylor]: Taking taylor expansion of 2 in x 8.142 * [backup-simplify]: Simplify 2 into 2 8.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.142 * [taylor]: Taking taylor expansion of x in x 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.143 * [backup-simplify]: Simplify (/ 1 1) into 1 8.143 * [backup-simplify]: Simplify (* 2 1) into 2 8.143 * [backup-simplify]: Simplify 2 into 2 8.143 * [backup-simplify]: Simplify 1 into 1 8.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.144 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 8.144 * [backup-simplify]: Simplify (+ 0 0) into 0 8.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 8.145 * [taylor]: Taking taylor expansion of 0 in x 8.145 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.146 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 8.147 * [backup-simplify]: Simplify (+ 0 0) into 0 8.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.149 * [taylor]: Taking taylor expansion of 0 in x 8.149 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 8.151 * [backup-simplify]: Simplify (+ 0 0) into 0 8.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.153 * [taylor]: Taking taylor expansion of 0 in x 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 8.153 * * * * [progress]: [ 2 / 2 ] generating series at (2) 8.153 * [backup-simplify]: Simplify (+ (* y (+ (* 2 x) y)) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 8.153 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 8.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 8.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.153 * [taylor]: Taking taylor expansion of x in x 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 1 into 1 8.153 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 8.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.154 * [taylor]: Taking taylor expansion of y in x 8.154 * [backup-simplify]: Simplify y into y 8.154 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 8.154 * [taylor]: Taking taylor expansion of 2 in x 8.154 * [backup-simplify]: Simplify 2 into 2 8.154 * [taylor]: Taking taylor expansion of (* x y) in x 8.154 * [taylor]: Taking taylor expansion of x in x 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.154 * [taylor]: Taking taylor expansion of y in x 8.154 * [backup-simplify]: Simplify y into y 8.154 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 8.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.154 * [taylor]: Taking taylor expansion of x in y 8.154 * [backup-simplify]: Simplify x into x 8.154 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 8.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.154 * [taylor]: Taking taylor expansion of y in y 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.154 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 8.154 * [taylor]: Taking taylor expansion of 2 in y 8.154 * [backup-simplify]: Simplify 2 into 2 8.154 * [taylor]: Taking taylor expansion of (* x y) in y 8.154 * [taylor]: Taking taylor expansion of x in y 8.154 * [backup-simplify]: Simplify x into x 8.154 * [taylor]: Taking taylor expansion of y in y 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.154 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 8.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.154 * [taylor]: Taking taylor expansion of x in y 8.154 * [backup-simplify]: Simplify x into x 8.154 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 8.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.154 * [taylor]: Taking taylor expansion of y in y 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.154 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 8.154 * [taylor]: Taking taylor expansion of 2 in y 8.154 * [backup-simplify]: Simplify 2 into 2 8.154 * [taylor]: Taking taylor expansion of (* x y) in y 8.154 * [taylor]: Taking taylor expansion of x in y 8.154 * [backup-simplify]: Simplify x into x 8.154 * [taylor]: Taking taylor expansion of y in y 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.154 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.154 * [backup-simplify]: Simplify (* x 0) into 0 8.155 * [backup-simplify]: Simplify (* 2 0) into 0 8.155 * [backup-simplify]: Simplify (+ 0 0) into 0 8.155 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.155 * [taylor]: Taking taylor expansion of x in x 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 1 into 1 8.155 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.155 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 8.156 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 8.156 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 8.156 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 8.156 * [taylor]: Taking taylor expansion of (* 2 x) in x 8.156 * [taylor]: Taking taylor expansion of 2 in x 8.156 * [backup-simplify]: Simplify 2 into 2 8.156 * [taylor]: Taking taylor expansion of x in x 8.156 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify 1 into 1 8.156 * [backup-simplify]: Simplify (* 2 0) into 0 8.156 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 8.157 * [backup-simplify]: Simplify (* 1 1) into 1 8.157 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 8.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 8.158 * [backup-simplify]: Simplify (+ 1 0) into 1 8.158 * [backup-simplify]: Simplify (+ 0 1) into 1 8.158 * [taylor]: Taking taylor expansion of 1 in x 8.158 * [backup-simplify]: Simplify 1 into 1 8.158 * [backup-simplify]: Simplify 1 into 1 8.159 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 8.159 * [backup-simplify]: Simplify 2 into 2 8.159 * [backup-simplify]: Simplify (* 1 1) into 1 8.159 * [backup-simplify]: Simplify 1 into 1 8.159 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 8.159 * [backup-simplify]: Simplify (+ (* (/ 1 y) (+ (* 2 (/ 1 x)) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 8.159 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 8.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 8.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.160 * [taylor]: Taking taylor expansion of x in x 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.160 * [backup-simplify]: Simplify (* 1 1) into 1 8.160 * [backup-simplify]: Simplify (/ 1 1) into 1 8.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 8.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.160 * [taylor]: Taking taylor expansion of y in x 8.160 * [backup-simplify]: Simplify y into y 8.160 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.160 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 8.160 * [taylor]: Taking taylor expansion of 2 in x 8.160 * [backup-simplify]: Simplify 2 into 2 8.160 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 8.160 * [taylor]: Taking taylor expansion of (* x y) in x 8.160 * [taylor]: Taking taylor expansion of x in x 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.160 * [taylor]: Taking taylor expansion of y in x 8.161 * [backup-simplify]: Simplify y into y 8.161 * [backup-simplify]: Simplify (* 0 y) into 0 8.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.161 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 8.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.161 * [taylor]: Taking taylor expansion of x in y 8.161 * [backup-simplify]: Simplify x into x 8.161 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.161 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 8.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.161 * [taylor]: Taking taylor expansion of y in y 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 1 into 1 8.161 * [backup-simplify]: Simplify (* 1 1) into 1 8.162 * [backup-simplify]: Simplify (/ 1 1) into 1 8.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 8.162 * [taylor]: Taking taylor expansion of 2 in y 8.162 * [backup-simplify]: Simplify 2 into 2 8.162 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 8.162 * [taylor]: Taking taylor expansion of (* x y) in y 8.162 * [taylor]: Taking taylor expansion of x in y 8.162 * [backup-simplify]: Simplify x into x 8.162 * [taylor]: Taking taylor expansion of y in y 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 1 into 1 8.162 * [backup-simplify]: Simplify (* x 0) into 0 8.162 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 8.162 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 8.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.162 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.162 * [taylor]: Taking taylor expansion of x in y 8.162 * [backup-simplify]: Simplify x into x 8.162 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.162 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 8.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.162 * [taylor]: Taking taylor expansion of y in y 8.163 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify 1 into 1 8.163 * [backup-simplify]: Simplify (* 1 1) into 1 8.163 * [backup-simplify]: Simplify (/ 1 1) into 1 8.163 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 8.163 * [taylor]: Taking taylor expansion of 2 in y 8.163 * [backup-simplify]: Simplify 2 into 2 8.163 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 8.163 * [taylor]: Taking taylor expansion of (* x y) in y 8.163 * [taylor]: Taking taylor expansion of x in y 8.163 * [backup-simplify]: Simplify x into x 8.163 * [taylor]: Taking taylor expansion of y in y 8.163 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify 1 into 1 8.163 * [backup-simplify]: Simplify (* x 0) into 0 8.163 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 8.163 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.164 * [backup-simplify]: Simplify (+ 1 0) into 1 8.164 * [backup-simplify]: Simplify (+ 0 1) into 1 8.164 * [taylor]: Taking taylor expansion of 1 in x 8.164 * [backup-simplify]: Simplify 1 into 1 8.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 8.165 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 8.165 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 8.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.165 * [taylor]: Taking taylor expansion of 2 in x 8.165 * [backup-simplify]: Simplify 2 into 2 8.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.165 * [taylor]: Taking taylor expansion of x in x 8.165 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify 1 into 1 8.165 * [backup-simplify]: Simplify (/ 1 1) into 1 8.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.167 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 8.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.167 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 8.167 * [backup-simplify]: Simplify (+ 0 0) into 0 8.168 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 8.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.168 * [taylor]: Taking taylor expansion of x in x 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.168 * [backup-simplify]: Simplify (* 1 1) into 1 8.168 * [backup-simplify]: Simplify (/ 1 1) into 1 8.168 * [backup-simplify]: Simplify 1 into 1 8.169 * [backup-simplify]: Simplify (* 2 1) into 2 8.169 * [backup-simplify]: Simplify 2 into 2 8.169 * [backup-simplify]: Simplify 1 into 1 8.169 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 8.169 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (+ (* 2 (/ 1 (- x))) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 8.169 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 8.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 8.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.169 * [taylor]: Taking taylor expansion of x in x 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 1 into 1 8.170 * [backup-simplify]: Simplify (* 1 1) into 1 8.170 * [backup-simplify]: Simplify (/ 1 1) into 1 8.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 8.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.170 * [taylor]: Taking taylor expansion of y in x 8.170 * [backup-simplify]: Simplify y into y 8.170 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.170 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 8.170 * [taylor]: Taking taylor expansion of 2 in x 8.170 * [backup-simplify]: Simplify 2 into 2 8.170 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 8.170 * [taylor]: Taking taylor expansion of (* x y) in x 8.170 * [taylor]: Taking taylor expansion of x in x 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify 1 into 1 8.170 * [taylor]: Taking taylor expansion of y in x 8.170 * [backup-simplify]: Simplify y into y 8.170 * [backup-simplify]: Simplify (* 0 y) into 0 8.171 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 8.171 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 8.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.171 * [taylor]: Taking taylor expansion of x in y 8.171 * [backup-simplify]: Simplify x into x 8.171 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.171 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 8.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.171 * [taylor]: Taking taylor expansion of y in y 8.171 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify 1 into 1 8.171 * [backup-simplify]: Simplify (* 1 1) into 1 8.171 * [backup-simplify]: Simplify (/ 1 1) into 1 8.171 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 8.171 * [taylor]: Taking taylor expansion of 2 in y 8.172 * [backup-simplify]: Simplify 2 into 2 8.172 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 8.172 * [taylor]: Taking taylor expansion of (* x y) in y 8.172 * [taylor]: Taking taylor expansion of x in y 8.172 * [backup-simplify]: Simplify x into x 8.172 * [taylor]: Taking taylor expansion of y in y 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify 1 into 1 8.172 * [backup-simplify]: Simplify (* x 0) into 0 8.172 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 8.172 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 8.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.172 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.172 * [taylor]: Taking taylor expansion of x in y 8.172 * [backup-simplify]: Simplify x into x 8.172 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.172 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 8.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.172 * [taylor]: Taking taylor expansion of y in y 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify 1 into 1 8.173 * [backup-simplify]: Simplify (* 1 1) into 1 8.173 * [backup-simplify]: Simplify (/ 1 1) into 1 8.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 8.173 * [taylor]: Taking taylor expansion of 2 in y 8.173 * [backup-simplify]: Simplify 2 into 2 8.173 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 8.173 * [taylor]: Taking taylor expansion of (* x y) in y 8.173 * [taylor]: Taking taylor expansion of x in y 8.173 * [backup-simplify]: Simplify x into x 8.173 * [taylor]: Taking taylor expansion of y in y 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 1 into 1 8.173 * [backup-simplify]: Simplify (* x 0) into 0 8.173 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 8.173 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.174 * [backup-simplify]: Simplify (+ 1 0) into 1 8.174 * [backup-simplify]: Simplify (+ 0 1) into 1 8.174 * [taylor]: Taking taylor expansion of 1 in x 8.174 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 8.175 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 8.175 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 8.175 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 8.175 * [taylor]: Taking taylor expansion of 2 in x 8.175 * [backup-simplify]: Simplify 2 into 2 8.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.175 * [taylor]: Taking taylor expansion of x in x 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 1 into 1 8.175 * [backup-simplify]: Simplify (/ 1 1) into 1 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 8.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.177 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 8.177 * [backup-simplify]: Simplify (+ 0 0) into 0 8.177 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 8.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.178 * [taylor]: Taking taylor expansion of x in x 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify 1 into 1 8.178 * [backup-simplify]: Simplify (* 1 1) into 1 8.178 * [backup-simplify]: Simplify (/ 1 1) into 1 8.178 * [backup-simplify]: Simplify 1 into 1 8.178 * [backup-simplify]: Simplify (* 2 1) into 2 8.178 * [backup-simplify]: Simplify 2 into 2 8.178 * [backup-simplify]: Simplify 1 into 1 8.179 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 8.179 * * * [progress]: simplifying candidates 8.180 * [simplify]: Simplifying: (* y (+ (* 2 x) y)) (+ (log y) (log (+ (* 2 x) y))) (log (* y (+ (* 2 x) y))) (exp (* y (+ (* 2 x) y))) (* (* (* y y) y) (* (* (+ (* 2 x) y) (+ (* 2 x) y)) (+ (* 2 x) y))) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (* (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) (* y 1) (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* (* 2 x) (* 2 x)) (* y y))) (* (exp (* y (+ (* 2 x) y))) (exp (* x x))) (log (+ (* y (+ (* 2 x) y)) (* x x))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (* (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x)))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (* (* (+ (* y (+ (* 2 x) y)) (* x x)) (+ (* y (+ (* 2 x) y)) (* x x))) (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (+ (pow (* y (+ (* 2 x) y)) 3) (pow (* x x) 3)) (+ (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (- (* (* x x) (* x x)) (* (* y (+ (* 2 x) y)) (* x x)))) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (* (* x x) (* x x))) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 8.180 * * [simplify]: Extracting # 0 : cost 0 8.180 * * [simplify]: Extracting # 1 : cost 0 8.181 * * [simplify]: Extracting # 2 : cost 0 8.181 * * [simplify]: Extracting # 3 : cost 0 8.181 * * [simplify]: Extracting # 4 : cost 0 8.181 * * [simplify]: Extracting # 5 : cost 0 8.181 * * [simplify]: Extracting # 6 : cost 0 8.181 * * [simplify]: Extracting # 7 : cost 0 8.181 * * [simplify]: iteration 0 : 70 enodes (cost 523 ) 8.207 * * [simplify]: Extracting # 0 : cost 0 8.207 * * [simplify]: Extracting # 1 : cost 0 8.208 * * [simplify]: Extracting # 2 : cost 0 8.208 * * [simplify]: Extracting # 3 : cost 0 8.208 * * [simplify]: iteration 1 : 216 enodes (cost 485 ) 8.356 * * [simplify]: Extracting # 0 : cost 0 8.357 * * [simplify]: Extracting # 1 : cost 0 8.358 * * [simplify]: Extracting # 2 : cost 0 8.359 * * [simplify]: Extracting # 3 : cost 0 8.360 * * [simplify]: Extracting # 4 : cost 0 8.361 * * [simplify]: iteration 2 : 736 enodes (cost 445 ) 9.193 * * [simplify]: Extracting # 0 : cost 0 9.202 * * [simplify]: Extracting # 1 : cost 0 9.208 * * [simplify]: Extracting # 2 : cost 0 9.215 * * [simplify]: Extracting # 3 : cost 0 9.221 * * [simplify]: Extracting # 4 : cost 0 9.227 * * [simplify]: iteration 3 : 3389 enodes (cost 437 ) 10.965 * * [simplify]: Extracting # 0 : cost 0 10.974 * * [simplify]: Extracting # 1 : cost 0 10.993 * * [simplify]: Extracting # 2 : cost 0 11.004 * * [simplify]: Extracting # 3 : cost 0 11.014 * * [simplify]: Extracting # 4 : cost 0 11.024 * * [simplify]: iteration done: 5000 enodes (cost 437 ) 11.025 * [simplify]: Simplified to: (* (+ (* 2 x) y) y) (log (* (+ (* 2 x) y) y)) (log (* (+ (* 2 x) y) y)) (exp (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (* (cbrt (* y (+ (* 2 x) y))) (cbrt (* y (+ (* 2 x) y)))) (cbrt (* y (+ (* 2 x) y))) (pow (* y (+ (* 2 x) y)) 3) (sqrt (* y (+ (* 2 x) y))) (sqrt (* y (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* (sqrt y) (sqrt (+ (* 2 x) y))) (* y (* 2 x)) (* y y) (* y (* 2 x)) (* y y) (* y (* (cbrt (+ (* 2 x) y)) (cbrt (+ (* 2 x) y)))) (* y (sqrt (+ (* 2 x) y))) y (* (cbrt y) (+ (* 2 x) y)) (* (sqrt y) (+ (* 2 x) y)) (* (+ (* 2 x) y) y) (* y (+ (pow (* 2 x) 3) (pow y 3))) (* y (- (* 4 (* x x)) (* y y))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (log (+ (* y (+ (* 2 x) y)) (* x x))) (exp (+ (* y (+ (* 2 x) y)) (* x x))) (* (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x)))) (cbrt (+ (* y (+ (* 2 x) y)) (* x x))) (pow (+ (* (+ (* 2 x) y) y) (pow x 2)) 3) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (sqrt (+ (* y (+ (* 2 x) y)) (* x x))) (+ (pow (* y (+ (* 2 x) y)) 3) (pow x 6)) (+ (* (* (+ (* 2 x) y) y) (- (* y (+ (* 2 x) y)) (* x x))) (pow x 4)) (- (* (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y))) (pow x 4)) (- (* y (+ (* 2 x) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (* (+ (* 2 x) y) y) (+ (* (+ (* 2 x) y) y) (pow x 2)) (+ (* (+ (* 2 x) y) y) (pow x 2)) (+ (* (+ (* 2 x) y) y) (pow x 2)) 11.025 * * * [progress]: adding candidates to table 11.156 * [progress]: [Phase 3 of 3] Extracting. 11.156 * * [regime]: Finding splitpoints for: (# #) 11.157 * * * [regime-changes]: Trying 2 branch expressions: (y x) 11.157 * * * * [regimes]: Trying to branch on y from (# #) 11.178 * * * * [regimes]: Trying to branch on x from (# #) 11.196 * * * [regime]: Found split indices: #