57.193 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.043 * * [simplify]: Extracting # 0 : cost 0 0.043 * * [simplify]: Extracting # 1 : cost 0 0.043 * * [simplify]: Extracting # 2 : cost 0 0.043 * * [simplify]: Extracting # 3 : cost 0 0.043 * * [simplify]: Extracting # 4 : cost 0 0.043 * * [simplify]: iteration 0 : 4 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 1 : 11 enodes (cost 7 ) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.050 * * [simplify]: Extracting # 1 : cost 0 0.050 * * [simplify]: Extracting # 2 : cost 0 0.050 * * [simplify]: iteration 2 : 25 enodes (cost 7 ) 0.060 * * [simplify]: Extracting # 0 : cost 0 0.060 * * [simplify]: Extracting # 1 : cost 0 0.060 * * [simplify]: Extracting # 2 : cost 0 0.060 * * [simplify]: iteration 3 : 53 enodes (cost 7 ) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.089 * * [simplify]: Extracting # 1 : cost 0 0.089 * * [simplify]: Extracting # 2 : cost 0 0.090 * * [simplify]: Extracting # 3 : cost 0 0.090 * * [simplify]: iteration 4 : 113 enodes (cost 7 ) 0.123 * * [simplify]: Extracting # 0 : cost 0 0.124 * * [simplify]: Extracting # 1 : cost 0 0.124 * * [simplify]: Extracting # 2 : cost 0 0.124 * * [simplify]: Extracting # 3 : cost 0 0.124 * * [simplify]: iteration 5 : 194 enodes (cost 7 ) 0.156 * * [simplify]: Extracting # 0 : cost 0 0.157 * * [simplify]: Extracting # 1 : cost 0 0.157 * * [simplify]: iteration 6 : 214 enodes (cost 7 ) 0.181 * * [simplify]: Extracting # 0 : cost 0 0.182 * * [simplify]: iteration 7 : 220 enodes (cost 7 ) 0.212 * * [simplify]: Extracting # 0 : cost 0 0.213 * * [simplify]: iteration done: 220 enodes (cost 7 ) 0.213 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.213 * * [progress]: iteration 1 / 4 0.213 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.226 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.287 * * * [progress]: generating series expansions 0.287 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.288 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.288 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.288 * [taylor]: Taking taylor expansion of (+ x y) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [backup-simplify]: Simplify x into x 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (+ x 0) into x 0.288 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.288 * [taylor]: Taking taylor expansion of (+ x y) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [backup-simplify]: Simplify y into y 0.288 * [backup-simplify]: Simplify (+ 0 y) into y 0.288 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.288 * [taylor]: Taking taylor expansion of (+ x y) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [backup-simplify]: Simplify y into y 0.288 * [backup-simplify]: Simplify (+ 0 y) into y 0.288 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.290 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.290 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.290 * [taylor]: Taking taylor expansion of 2 in y 0.290 * [backup-simplify]: Simplify 2 into 2 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 2 0) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.291 * [taylor]: Taking taylor expansion of 1 in y 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.292 * [backup-simplify]: Simplify 2 into 2 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [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)))) 0.293 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.293 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.293 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [backup-simplify]: Simplify x into x 0.294 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.295 * [backup-simplify]: Simplify (+ 1 0) into 1 0.295 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [backup-simplify]: Simplify y into y 0.295 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ 0 1) into 1 0.296 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [backup-simplify]: Simplify y into y 0.296 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (+ 0 1) into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of 1 in y 0.297 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.298 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.299 * [taylor]: Taking taylor expansion of 2 in y 0.299 * [backup-simplify]: Simplify 2 into 2 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 2 1) into 2 0.303 * [backup-simplify]: Simplify 2 into 2 0.303 * [backup-simplify]: Simplify 1 into 1 0.304 * [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)))) 0.304 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.304 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [backup-simplify]: Simplify x into x 0.311 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (+ 0 1) into 1 0.312 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [backup-simplify]: Simplify y into y 0.313 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify (+ 0 1) into 1 0.314 * [backup-simplify]: Simplify (* 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of 1 in y 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.315 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.316 * [taylor]: Taking taylor expansion of 2 in y 0.316 * [backup-simplify]: Simplify 2 into 2 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 2 1) into 2 0.320 * [backup-simplify]: Simplify 2 into 2 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [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)))) 0.321 * * * [progress]: simplifying candidates 0.322 * [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)))) 0.324 * * [simplify]: Extracting # 0 : cost 0 0.324 * * [simplify]: Extracting # 1 : cost 0 0.324 * * [simplify]: Extracting # 2 : cost 0 0.325 * * [simplify]: Extracting # 3 : cost 0 0.325 * * [simplify]: Extracting # 4 : cost 0 0.325 * * [simplify]: Extracting # 5 : cost 0 0.325 * * [simplify]: Extracting # 6 : cost 0 0.325 * * [simplify]: Extracting # 7 : cost 0 0.325 * * [simplify]: iteration 0 : 62 enodes (cost 516 ) 0.355 * * [simplify]: Extracting # 0 : cost 0 0.356 * * [simplify]: Extracting # 1 : cost 0 0.356 * * [simplify]: Extracting # 2 : cost 0 0.357 * * [simplify]: Extracting # 3 : cost 0 0.357 * * [simplify]: Extracting # 4 : cost 0 0.357 * * [simplify]: iteration 1 : 226 enodes (cost 453 ) 0.581 * * [simplify]: Extracting # 0 : cost 0 0.585 * * [simplify]: Extracting # 1 : cost 0 0.589 * * [simplify]: Extracting # 2 : cost 0 0.593 * * [simplify]: Extracting # 3 : cost 0 0.597 * * [simplify]: iteration 2 : 1687 enodes (cost 407 ) 1.655 * * [simplify]: Extracting # 0 : cost 0 1.685 * * [simplify]: Extracting # 1 : cost 0 1.700 * * [simplify]: Extracting # 2 : cost 0 1.715 * * [simplify]: Extracting # 3 : cost 0 1.729 * * [simplify]: Extracting # 4 : cost 0 1.743 * * [simplify]: iteration done: 5002 enodes (cost 400 ) 1.744 * [simplify]: Simplified to: 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (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 x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (+ x y) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* (+ x y) x) (* (+ x y) y) (* (+ x y) x) (* (+ x y) y) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (* (+ x y) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x)) 1.744 * * * [progress]: adding candidates to table 1.887 * * [progress]: iteration 2 / 4 1.887 * * * [progress]: picking best candidate 1.896 * * * * [pick]: Picked # 1.896 * * * [progress]: localizing error 1.918 * * * [progress]: generating rewritten candidates 1.918 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.956 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.999 * * * [progress]: generating series expansions 1.999 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.999 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 1.999 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 1.999 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 1.999 * [taylor]: Taking taylor expansion of y in y 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [taylor]: Taking taylor expansion of (+ x y) in y 1.999 * [taylor]: Taking taylor expansion of x in y 1.999 * [backup-simplify]: Simplify x into x 1.999 * [taylor]: Taking taylor expansion of y in y 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 1.999 * [taylor]: Taking taylor expansion of y in x 1.999 * [backup-simplify]: Simplify y into y 1.999 * [taylor]: Taking taylor expansion of (+ x y) in x 1.999 * [taylor]: Taking taylor expansion of x in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [taylor]: Taking taylor expansion of y in x 2.000 * [backup-simplify]: Simplify y into y 2.000 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 2.000 * [taylor]: Taking taylor expansion of y in x 2.000 * [backup-simplify]: Simplify y into y 2.000 * [taylor]: Taking taylor expansion of (+ x y) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [taylor]: Taking taylor expansion of y in x 2.000 * [backup-simplify]: Simplify y into y 2.000 * [backup-simplify]: Simplify (+ 0 y) into y 2.000 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.000 * [taylor]: Taking taylor expansion of y in y 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (+ 1 0) into 1 2.001 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 2.001 * [taylor]: Taking taylor expansion of y in y 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 2.002 * [taylor]: Taking taylor expansion of 0 in y 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (* 1 1) into 1 2.002 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 2.004 * [taylor]: Taking taylor expansion of 0 in y 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.006 * [taylor]: Taking taylor expansion of 0 in y 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 2.007 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.007 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.007 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.007 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.007 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.007 * [taylor]: Taking taylor expansion of y in y 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (/ 1 1) into 1 2.007 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.007 * [taylor]: Taking taylor expansion of x in y 2.007 * [backup-simplify]: Simplify x into x 2.007 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.007 * [taylor]: Taking taylor expansion of y in y 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (+ 1 0) into 1 2.008 * [backup-simplify]: Simplify (/ 1 1) into 1 2.008 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.008 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.008 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.008 * [taylor]: Taking taylor expansion of y in x 2.008 * [backup-simplify]: Simplify y into y 2.009 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (/ 1 1) into 1 2.009 * [taylor]: Taking taylor expansion of y in x 2.009 * [backup-simplify]: Simplify y into y 2.009 * [backup-simplify]: Simplify (+ 0 1) into 1 2.010 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.010 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.010 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.010 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.010 * [taylor]: Taking taylor expansion of y in x 2.010 * [backup-simplify]: Simplify y into y 2.010 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.010 * [taylor]: Taking taylor expansion of x in x 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (/ 1 1) into 1 2.010 * [taylor]: Taking taylor expansion of y in x 2.010 * [backup-simplify]: Simplify y into y 2.011 * [backup-simplify]: Simplify (+ 0 1) into 1 2.011 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.011 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.011 * [taylor]: Taking taylor expansion of y in y 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.012 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.013 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.013 * [taylor]: Taking taylor expansion of y in y 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.013 * [backup-simplify]: Simplify (/ 1 1) into 1 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.015 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.015 * [taylor]: Taking taylor expansion of 0 in y 2.015 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.020 * [taylor]: Taking taylor expansion of 0 in y 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.025 * [taylor]: Taking taylor expansion of 0 in y 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 2.028 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 2.028 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 2.028 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.028 * [taylor]: Taking taylor expansion of y in y 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.028 * [taylor]: Taking taylor expansion of x in y 2.028 * [backup-simplify]: Simplify x into x 2.028 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.028 * [taylor]: Taking taylor expansion of y in y 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (+ 1 0) into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.029 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.029 * [taylor]: Taking taylor expansion of y in x 2.029 * [backup-simplify]: Simplify y into y 2.029 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.030 * [taylor]: Taking taylor expansion of x in x 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [taylor]: Taking taylor expansion of y in x 2.030 * [backup-simplify]: Simplify y into y 2.030 * [backup-simplify]: Simplify (+ 0 1) into 1 2.031 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.031 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 2.031 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.031 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.031 * [taylor]: Taking taylor expansion of y in x 2.031 * [backup-simplify]: Simplify y into y 2.031 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [taylor]: Taking taylor expansion of y in x 2.031 * [backup-simplify]: Simplify y into y 2.032 * [backup-simplify]: Simplify (+ 0 1) into 1 2.032 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.032 * [taylor]: Taking taylor expansion of y in y 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.033 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.034 * [taylor]: Taking taylor expansion of y in y 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (* 1 1) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.036 * [taylor]: Taking taylor expansion of 0 in y 2.036 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.041 * [taylor]: Taking taylor expansion of 0 in y 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ 0 0) into 0 2.051 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.051 * [taylor]: Taking taylor expansion of 0 in y 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 2.054 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.054 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 2.054 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 2.054 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 2.054 * [taylor]: Taking taylor expansion of x in y 2.054 * [backup-simplify]: Simplify x into x 2.054 * [taylor]: Taking taylor expansion of (+ x y) in y 2.054 * [taylor]: Taking taylor expansion of x in y 2.054 * [backup-simplify]: Simplify x into x 2.054 * [taylor]: Taking taylor expansion of y in y 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of (+ x y) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of y in x 2.055 * [backup-simplify]: Simplify y into y 2.055 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of (+ x y) in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of y in x 2.055 * [backup-simplify]: Simplify y into y 2.055 * [backup-simplify]: Simplify (+ 0 y) into y 2.055 * [backup-simplify]: Simplify (* 0 y) into 0 2.055 * [taylor]: Taking taylor expansion of 0 in y 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (+ 1 0) into 1 2.056 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 2.056 * [taylor]: Taking taylor expansion of y in y 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 2.058 * [taylor]: Taking taylor expansion of 1 in y 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 2.060 * [taylor]: Taking taylor expansion of 0 in y 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.062 * [taylor]: Taking taylor expansion of 0 in y 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 2.063 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.063 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.063 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.063 * [taylor]: Taking taylor expansion of y in y 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (/ 1 1) into 1 2.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.063 * [taylor]: Taking taylor expansion of x in y 2.063 * [backup-simplify]: Simplify x into x 2.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.063 * [taylor]: Taking taylor expansion of x in y 2.064 * [backup-simplify]: Simplify x into x 2.064 * [backup-simplify]: Simplify (+ 1 0) into 1 2.064 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.064 * [taylor]: Taking taylor expansion of y in x 2.064 * [backup-simplify]: Simplify y into y 2.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (/ 1 1) into 1 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (+ 0 1) into 1 2.066 * [backup-simplify]: Simplify (/ 1 1) into 1 2.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.066 * [taylor]: Taking taylor expansion of y in x 2.066 * [backup-simplify]: Simplify y into y 2.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.066 * [taylor]: Taking taylor expansion of x in x 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (/ 1 1) into 1 2.066 * [taylor]: Taking taylor expansion of x in x 2.066 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (+ 0 1) into 1 2.067 * [backup-simplify]: Simplify (/ 1 1) into 1 2.067 * [taylor]: Taking taylor expansion of 1 in y 2.067 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.069 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.069 * [taylor]: Taking taylor expansion of y in y 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (/ 1 1) into 1 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.073 * [taylor]: Taking taylor expansion of 0 in y 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [taylor]: Taking taylor expansion of 0 in y 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [taylor]: Taking taylor expansion of 0 in y 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 2.083 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.083 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.083 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.083 * [taylor]: Taking taylor expansion of y in y 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.084 * [taylor]: Taking taylor expansion of x in y 2.084 * [backup-simplify]: Simplify x into x 2.084 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.084 * [taylor]: Taking taylor expansion of x in y 2.084 * [backup-simplify]: Simplify x into x 2.085 * [backup-simplify]: Simplify (+ 1 0) into 1 2.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.085 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.085 * [taylor]: Taking taylor expansion of y in x 2.085 * [backup-simplify]: Simplify y into y 2.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [taylor]: Taking taylor expansion of x in x 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (+ 0 1) into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.086 * [taylor]: Taking taylor expansion of y in x 2.087 * [backup-simplify]: Simplify y into y 2.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.087 * [taylor]: Taking taylor expansion of x in x 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (+ 0 1) into 1 2.088 * [backup-simplify]: Simplify (/ 1 1) into 1 2.088 * [taylor]: Taking taylor expansion of 1 in y 2.088 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.090 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.090 * [taylor]: Taking taylor expansion of y in y 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.093 * [taylor]: Taking taylor expansion of 0 in y 2.093 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [taylor]: Taking taylor expansion of 0 in y 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [taylor]: Taking taylor expansion of 0 in y 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 2.104 * * * [progress]: simplifying candidates 2.105 * [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) (+ (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)) 2.107 * * [simplify]: Extracting # 0 : cost 0 2.107 * * [simplify]: Extracting # 1 : cost 0 2.107 * * [simplify]: Extracting # 2 : cost 0 2.107 * * [simplify]: Extracting # 3 : cost 0 2.107 * * [simplify]: Extracting # 4 : cost 0 2.107 * * [simplify]: Extracting # 5 : cost 0 2.108 * * [simplify]: iteration 0 : 67 enodes (cost 368 ) 2.134 * * [simplify]: Extracting # 0 : cost 0 2.134 * * [simplify]: Extracting # 1 : cost 0 2.135 * * [simplify]: Extracting # 2 : cost 0 2.135 * * [simplify]: Extracting # 3 : cost 0 2.135 * * [simplify]: Extracting # 4 : cost 0 2.136 * * [simplify]: iteration 1 : 163 enodes (cost 358 ) 2.291 * * [simplify]: Extracting # 0 : cost 0 2.298 * * [simplify]: Extracting # 1 : cost 0 2.300 * * [simplify]: Extracting # 2 : cost 0 2.302 * * [simplify]: Extracting # 3 : cost 0 2.304 * * [simplify]: Extracting # 4 : cost 0 2.306 * * [simplify]: iteration 2 : 1098 enodes (cost 310 ) 2.968 * * [simplify]: Extracting # 0 : cost 0 2.981 * * [simplify]: Extracting # 1 : cost 0 2.995 * * [simplify]: Extracting # 2 : cost 0 3.016 * * [simplify]: Extracting # 3 : cost 0 3.028 * * [simplify]: Extracting # 4 : cost 0 3.041 * * [simplify]: iteration done: 5001 enodes (cost 310 ) 3.041 * [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)) (* (* (cbrt y) (cbrt y)) (+ x y)) (* (sqrt y) (+ x 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)) (* (* (cbrt x) (cbrt x)) (+ x y)) (* (sqrt x) (+ x y)) (+ 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) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ y x)) (* x (+ y x)) (* x (+ y x)) 3.042 * * * [progress]: adding candidates to table 3.218 * * [progress]: iteration 3 / 4 3.218 * * * [progress]: picking best candidate 3.221 * * * * [pick]: Picked # 3.221 * * * [progress]: localizing error 3.238 * * * [progress]: generating rewritten candidates 3.238 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 3.263 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.290 * * * [progress]: generating series expansions 3.290 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 3.291 * [backup-simplify]: Simplify (* y (+ y (* 2 x))) into (* (+ (* 2 x) y) y) 3.291 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 3.291 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 3.291 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 3.291 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.291 * [taylor]: Taking taylor expansion of 2 in x 3.291 * [backup-simplify]: Simplify 2 into 2 3.291 * [taylor]: Taking taylor expansion of x in x 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [taylor]: Taking taylor expansion of y in x 3.291 * [backup-simplify]: Simplify y into y 3.291 * [taylor]: Taking taylor expansion of y in x 3.291 * [backup-simplify]: Simplify y into y 3.291 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 3.291 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.291 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.291 * [taylor]: Taking taylor expansion of 2 in y 3.291 * [backup-simplify]: Simplify 2 into 2 3.291 * [taylor]: Taking taylor expansion of x in y 3.291 * [backup-simplify]: Simplify x into x 3.291 * [taylor]: Taking taylor expansion of y in y 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [taylor]: Taking taylor expansion of y in y 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 3.291 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 3.291 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.292 * [taylor]: Taking taylor expansion of 2 in y 3.292 * [backup-simplify]: Simplify 2 into 2 3.292 * [taylor]: Taking taylor expansion of x in y 3.292 * [backup-simplify]: Simplify x into x 3.292 * [taylor]: Taking taylor expansion of y in y 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [taylor]: Taking taylor expansion of y in y 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 3.292 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 3.292 * [backup-simplify]: Simplify (* (* 2 x) 0) into 0 3.292 * [taylor]: Taking taylor expansion of 0 in x 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 3.293 * [backup-simplify]: Simplify (+ 0 1) into 1 3.294 * [backup-simplify]: Simplify (+ (* (* 2 x) 1) (* 1 0)) into (* 2 x) 3.294 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.294 * [taylor]: Taking taylor expansion of 2 in x 3.294 * [backup-simplify]: Simplify 2 into 2 3.294 * [taylor]: Taking taylor expansion of x in x 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.294 * [backup-simplify]: Simplify (* 2 0) into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.296 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 1) (* 0 0))) into 1 3.296 * [taylor]: Taking taylor expansion of 1 in x 3.296 * [backup-simplify]: Simplify 1 into 1 3.296 * [backup-simplify]: Simplify 1 into 1 3.296 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.296 * [backup-simplify]: Simplify 2 into 2 3.297 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.299 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.299 * [taylor]: Taking taylor expansion of 0 in x 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.301 * [backup-simplify]: Simplify (+ 0 0) into 0 3.302 * [backup-simplify]: Simplify (+ (* (* 2 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.302 * [taylor]: Taking taylor expansion of 0 in x 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 3.303 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 3.303 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 3.303 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.303 * [taylor]: Taking taylor expansion of y in x 3.303 * [backup-simplify]: Simplify y into y 3.303 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.303 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.303 * [taylor]: Taking taylor expansion of 2 in x 3.303 * [backup-simplify]: Simplify 2 into 2 3.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.303 * [taylor]: Taking taylor expansion of x in x 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (/ 1 1) into 1 3.303 * [taylor]: Taking taylor expansion of y in x 3.304 * [backup-simplify]: Simplify y into y 3.304 * [backup-simplify]: Simplify (* 2 1) into 2 3.304 * [backup-simplify]: Simplify (+ 0 2) into 2 3.304 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.304 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.304 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.304 * [taylor]: Taking taylor expansion of y in y 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 1 into 1 3.305 * [backup-simplify]: Simplify (/ 1 1) into 1 3.305 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.305 * [taylor]: Taking taylor expansion of 2 in y 3.305 * [backup-simplify]: Simplify 2 into 2 3.305 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.305 * [taylor]: Taking taylor expansion of x in y 3.305 * [backup-simplify]: Simplify x into x 3.305 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.305 * [taylor]: Taking taylor expansion of y in y 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [backup-simplify]: Simplify (+ 1 0) into 1 3.306 * [backup-simplify]: Simplify (/ 1 1) into 1 3.306 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.306 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.306 * [taylor]: Taking taylor expansion of y in y 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [backup-simplify]: Simplify (/ 1 1) into 1 3.306 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.306 * [taylor]: Taking taylor expansion of 2 in y 3.306 * [backup-simplify]: Simplify 2 into 2 3.306 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.306 * [taylor]: Taking taylor expansion of x in y 3.306 * [backup-simplify]: Simplify x into x 3.306 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.306 * [taylor]: Taking taylor expansion of y in y 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (+ 1 0) into 1 3.307 * [backup-simplify]: Simplify (/ 1 1) into 1 3.307 * [taylor]: Taking taylor expansion of 1 in x 3.307 * [backup-simplify]: Simplify 1 into 1 3.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.308 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.309 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 3.309 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.309 * [taylor]: Taking taylor expansion of 2 in x 3.309 * [backup-simplify]: Simplify 2 into 2 3.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.309 * [taylor]: Taking taylor expansion of x in x 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify (/ 1 1) into 1 3.310 * [backup-simplify]: Simplify (* 2 1) into 2 3.310 * [backup-simplify]: Simplify 2 into 2 3.310 * [backup-simplify]: Simplify 1 into 1 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.311 * [backup-simplify]: Simplify (+ 0 0) into 0 3.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 3.313 * [taylor]: Taking taylor expansion of 0 in x 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.317 * [taylor]: Taking taylor expansion of 0 in x 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.323 * [taylor]: Taking taylor expansion of 0 in x 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 3.324 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) into (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) 3.324 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 3.324 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 3.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 3.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.324 * [taylor]: Taking taylor expansion of y in x 3.324 * [backup-simplify]: Simplify y into y 3.324 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.324 * [taylor]: Taking taylor expansion of 2 in x 3.324 * [backup-simplify]: Simplify 2 into 2 3.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (/ 1 1) into 1 3.325 * [taylor]: Taking taylor expansion of y in x 3.325 * [backup-simplify]: Simplify y into y 3.325 * [backup-simplify]: Simplify (* 2 1) into 2 3.325 * [backup-simplify]: Simplify (+ 0 2) into 2 3.325 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.325 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.326 * [taylor]: Taking taylor expansion of y in y 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (/ 1 1) into 1 3.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.326 * [taylor]: Taking taylor expansion of 2 in y 3.326 * [backup-simplify]: Simplify 2 into 2 3.326 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.326 * [taylor]: Taking taylor expansion of x in y 3.326 * [backup-simplify]: Simplify x into x 3.326 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.326 * [taylor]: Taking taylor expansion of y in y 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.327 * [backup-simplify]: Simplify (+ 1 0) into 1 3.327 * [backup-simplify]: Simplify (/ 1 1) into 1 3.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 3.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 3.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.327 * [taylor]: Taking taylor expansion of y in y 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify 1 into 1 3.327 * [backup-simplify]: Simplify (/ 1 1) into 1 3.327 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.327 * [taylor]: Taking taylor expansion of 2 in y 3.327 * [backup-simplify]: Simplify 2 into 2 3.327 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.327 * [taylor]: Taking taylor expansion of x in y 3.327 * [backup-simplify]: Simplify x into x 3.328 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.328 * [taylor]: Taking taylor expansion of y in y 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [backup-simplify]: Simplify (+ 1 0) into 1 3.328 * [backup-simplify]: Simplify (/ 1 1) into 1 3.328 * [taylor]: Taking taylor expansion of 1 in x 3.328 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.329 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.329 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.330 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 3.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.330 * [taylor]: Taking taylor expansion of 2 in x 3.330 * [backup-simplify]: Simplify 2 into 2 3.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.330 * [taylor]: Taking taylor expansion of x in x 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (/ 1 1) into 1 3.331 * [backup-simplify]: Simplify (* 2 1) into 2 3.331 * [backup-simplify]: Simplify 2 into 2 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.332 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 3.333 * [taylor]: Taking taylor expansion of 0 in x 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.336 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.337 * [backup-simplify]: Simplify (+ 0 0) into 0 3.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.338 * [taylor]: Taking taylor expansion of 0 in x 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.344 * [taylor]: Taking taylor expansion of 0 in x 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 3.345 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.345 * [backup-simplify]: Simplify (+ (* y (+ y (* 2 x))) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.345 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (y x) around 0 3.345 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.345 * [taylor]: Taking taylor expansion of x in x 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.345 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.345 * [taylor]: Taking taylor expansion of y in x 3.345 * [backup-simplify]: Simplify y into y 3.345 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.345 * [taylor]: Taking taylor expansion of 2 in x 3.345 * [backup-simplify]: Simplify 2 into 2 3.345 * [taylor]: Taking taylor expansion of (* x y) in x 3.345 * [taylor]: Taking taylor expansion of x in x 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.345 * [taylor]: Taking taylor expansion of y in x 3.345 * [backup-simplify]: Simplify y into y 3.345 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 3.345 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.345 * [taylor]: Taking taylor expansion of x in y 3.346 * [backup-simplify]: Simplify x into x 3.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.346 * [taylor]: Taking taylor expansion of y in y 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.346 * [taylor]: Taking taylor expansion of 2 in y 3.346 * [backup-simplify]: Simplify 2 into 2 3.346 * [taylor]: Taking taylor expansion of (* x y) in y 3.346 * [taylor]: Taking taylor expansion of x in y 3.346 * [backup-simplify]: Simplify x into x 3.346 * [taylor]: Taking taylor expansion of y in y 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 3.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.346 * [taylor]: Taking taylor expansion of x in y 3.346 * [backup-simplify]: Simplify x into x 3.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.346 * [taylor]: Taking taylor expansion of y in y 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.346 * [taylor]: Taking taylor expansion of 2 in y 3.346 * [backup-simplify]: Simplify 2 into 2 3.346 * [taylor]: Taking taylor expansion of (* x y) in y 3.346 * [taylor]: Taking taylor expansion of x in y 3.346 * [backup-simplify]: Simplify x into x 3.346 * [taylor]: Taking taylor expansion of y in y 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.346 * [backup-simplify]: Simplify (* x 0) into 0 3.347 * [backup-simplify]: Simplify (* 2 0) into 0 3.347 * [backup-simplify]: Simplify (+ 0 0) into 0 3.347 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.347 * [taylor]: Taking taylor expansion of x in x 3.347 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify 1 into 1 3.347 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.348 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.348 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 3.348 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 3.348 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 3.348 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.348 * [taylor]: Taking taylor expansion of 2 in x 3.348 * [backup-simplify]: Simplify 2 into 2 3.348 * [taylor]: Taking taylor expansion of x in x 3.348 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify 1 into 1 3.349 * [backup-simplify]: Simplify (* 2 0) into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.349 * [backup-simplify]: Simplify (* 1 1) into 1 3.350 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 3.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 3.351 * [backup-simplify]: Simplify (+ 1 0) into 1 3.351 * [backup-simplify]: Simplify (+ 0 1) into 1 3.351 * [taylor]: Taking taylor expansion of 1 in x 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [backup-simplify]: Simplify 1 into 1 3.352 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.352 * [backup-simplify]: Simplify 2 into 2 3.352 * [backup-simplify]: Simplify (* 1 1) into 1 3.352 * [backup-simplify]: Simplify 1 into 1 3.353 * [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)))) 3.353 * [backup-simplify]: Simplify (+ (* (/ 1 y) (+ (/ 1 y) (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.353 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 3.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.353 * [taylor]: Taking taylor expansion of x in x 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (* 1 1) into 1 3.354 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.354 * [taylor]: Taking taylor expansion of y in x 3.354 * [backup-simplify]: Simplify y into y 3.354 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.354 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.355 * [taylor]: Taking taylor expansion of 2 in x 3.355 * [backup-simplify]: Simplify 2 into 2 3.355 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.355 * [taylor]: Taking taylor expansion of (* x y) in x 3.355 * [taylor]: Taking taylor expansion of x in x 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of y in x 3.355 * [backup-simplify]: Simplify y into y 3.355 * [backup-simplify]: Simplify (* 0 y) into 0 3.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.355 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.355 * [taylor]: Taking taylor expansion of x in y 3.355 * [backup-simplify]: Simplify x into x 3.355 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.356 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.356 * [taylor]: Taking taylor expansion of y in y 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.356 * [taylor]: Taking taylor expansion of 2 in y 3.357 * [backup-simplify]: Simplify 2 into 2 3.357 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.357 * [taylor]: Taking taylor expansion of (* x y) in y 3.357 * [taylor]: Taking taylor expansion of x in y 3.357 * [backup-simplify]: Simplify x into x 3.357 * [taylor]: Taking taylor expansion of y in y 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (* x 0) into 0 3.357 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.357 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.357 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.357 * [taylor]: Taking taylor expansion of x in y 3.357 * [backup-simplify]: Simplify x into x 3.357 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.358 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.358 * [taylor]: Taking taylor expansion of y in y 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [backup-simplify]: Simplify (* 1 1) into 1 3.358 * [backup-simplify]: Simplify (/ 1 1) into 1 3.358 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.358 * [taylor]: Taking taylor expansion of 2 in y 3.359 * [backup-simplify]: Simplify 2 into 2 3.359 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.359 * [taylor]: Taking taylor expansion of (* x y) in y 3.359 * [taylor]: Taking taylor expansion of x in y 3.359 * [backup-simplify]: Simplify x into x 3.359 * [taylor]: Taking taylor expansion of y in y 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (* x 0) into 0 3.359 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.359 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.359 * [backup-simplify]: Simplify (+ 1 0) into 1 3.360 * [backup-simplify]: Simplify (+ 0 1) into 1 3.360 * [taylor]: Taking taylor expansion of 1 in x 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.361 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.361 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 3.361 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.361 * [taylor]: Taking taylor expansion of 2 in x 3.361 * [backup-simplify]: Simplify 2 into 2 3.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.361 * [taylor]: Taking taylor expansion of x in x 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 1 into 1 3.362 * [backup-simplify]: Simplify (/ 1 1) into 1 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 3.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.364 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.365 * [backup-simplify]: Simplify (+ 0 0) into 0 3.365 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.365 * [taylor]: Taking taylor expansion of x in x 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (* 1 1) into 1 3.366 * [backup-simplify]: Simplify (/ 1 1) into 1 3.366 * [backup-simplify]: Simplify 1 into 1 3.366 * [backup-simplify]: Simplify (* 2 1) into 2 3.366 * [backup-simplify]: Simplify 2 into 2 3.366 * [backup-simplify]: Simplify 1 into 1 3.367 * [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)))) 3.367 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.367 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (y x) around 0 3.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.367 * [taylor]: Taking taylor expansion of x in x 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (* 1 1) into 1 3.368 * [backup-simplify]: Simplify (/ 1 1) into 1 3.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.368 * [taylor]: Taking taylor expansion of y in x 3.368 * [backup-simplify]: Simplify y into y 3.368 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.368 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.368 * [taylor]: Taking taylor expansion of 2 in x 3.368 * [backup-simplify]: Simplify 2 into 2 3.368 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.369 * [taylor]: Taking taylor expansion of (* x y) in x 3.369 * [taylor]: Taking taylor expansion of x in x 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of y in x 3.369 * [backup-simplify]: Simplify y into y 3.369 * [backup-simplify]: Simplify (* 0 y) into 0 3.369 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.369 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.369 * [taylor]: Taking taylor expansion of x in y 3.369 * [backup-simplify]: Simplify x into x 3.369 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.369 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.370 * [taylor]: Taking taylor expansion of y in y 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (* 1 1) into 1 3.370 * [backup-simplify]: Simplify (/ 1 1) into 1 3.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.370 * [taylor]: Taking taylor expansion of 2 in y 3.370 * [backup-simplify]: Simplify 2 into 2 3.370 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.370 * [taylor]: Taking taylor expansion of (* x y) in y 3.370 * [taylor]: Taking taylor expansion of x in y 3.370 * [backup-simplify]: Simplify x into x 3.370 * [taylor]: Taking taylor expansion of y in y 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify (* x 0) into 0 3.371 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.371 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.371 * [taylor]: Taking taylor expansion of x in y 3.371 * [backup-simplify]: Simplify x into x 3.371 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.371 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.371 * [taylor]: Taking taylor expansion of y in y 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (* 1 1) into 1 3.372 * [backup-simplify]: Simplify (/ 1 1) into 1 3.372 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.372 * [taylor]: Taking taylor expansion of 2 in y 3.372 * [backup-simplify]: Simplify 2 into 2 3.372 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.372 * [taylor]: Taking taylor expansion of (* x y) in y 3.372 * [taylor]: Taking taylor expansion of x in y 3.372 * [backup-simplify]: Simplify x into x 3.372 * [taylor]: Taking taylor expansion of y in y 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (* x 0) into 0 3.373 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.373 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.373 * [backup-simplify]: Simplify (+ 1 0) into 1 3.374 * [backup-simplify]: Simplify (+ 0 1) into 1 3.374 * [taylor]: Taking taylor expansion of 1 in x 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 3.375 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 3.375 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 x))) into (* 2 (/ 1 x)) 3.375 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.375 * [taylor]: Taking taylor expansion of 2 in x 3.375 * [backup-simplify]: Simplify 2 into 2 3.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.375 * [taylor]: Taking taylor expansion of x in x 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 3.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 3.378 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.379 * [taylor]: Taking taylor expansion of x in x 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [backup-simplify]: Simplify (* 1 1) into 1 3.379 * [backup-simplify]: Simplify (/ 1 1) into 1 3.379 * [backup-simplify]: Simplify 1 into 1 3.380 * [backup-simplify]: Simplify (* 2 1) into 2 3.380 * [backup-simplify]: Simplify 2 into 2 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [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)))) 3.381 * * * [progress]: simplifying candidates 3.381 * [simplify]: Simplifying: (* y (+ y (* 2 x))) (+ (log y) (log (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (* (* (* y y) y) (* (* (+ y (* 2 x)) (+ y (* 2 x))) (+ y (* 2 x)))) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (* (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) (* y 1) (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* (* 2 x) (* 2 x)))) (* (exp (* y (+ y (* 2 x)))) (exp (* x x))) (log (+ (* y (+ y (* 2 x))) (* x x))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (* (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (cbrt (+ (* y (+ y (* 2 x))) (* x x)))) (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (* (* (+ (* y (+ y (* 2 x))) (* x x)) (+ (* y (+ y (* 2 x))) (* x x))) (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (+ (pow (* y (+ y (* 2 x))) 3) (pow (* x x) 3)) (+ (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (- (* (* x x) (* x x)) (* (* y (+ y (* 2 x))) (* x x)))) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* (* x x) (* x x))) (- (* y (+ y (* 2 x))) (* x x)) (+ (* y (* 2 x)) (* x x)) (+ (* (* 2 x) 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)))) 3.383 * * [simplify]: Extracting # 0 : cost 0 3.383 * * [simplify]: Extracting # 1 : cost 0 3.383 * * [simplify]: Extracting # 2 : cost 0 3.383 * * [simplify]: Extracting # 3 : cost 0 3.383 * * [simplify]: Extracting # 4 : cost 0 3.383 * * [simplify]: Extracting # 5 : cost 0 3.383 * * [simplify]: Extracting # 6 : cost 0 3.384 * * [simplify]: Extracting # 7 : cost 0 3.384 * * [simplify]: iteration 0 : 71 enodes (cost 527 ) 3.412 * * [simplify]: Extracting # 0 : cost 0 3.412 * * [simplify]: Extracting # 1 : cost 0 3.413 * * [simplify]: Extracting # 2 : cost 0 3.413 * * [simplify]: Extracting # 3 : cost 0 3.413 * * [simplify]: Extracting # 4 : cost 0 3.418 * * [simplify]: iteration 1 : 250 enodes (cost 501 ) 3.626 * * [simplify]: Extracting # 0 : cost 0 3.628 * * [simplify]: Extracting # 1 : cost 0 3.631 * * [simplify]: Extracting # 2 : cost 0 3.633 * * [simplify]: Extracting # 3 : cost 0 3.635 * * [simplify]: Extracting # 4 : cost 0 3.638 * * [simplify]: iteration 2 : 1386 enodes (cost 447 ) 4.345 * * [simplify]: Extracting # 0 : cost 0 4.355 * * [simplify]: Extracting # 1 : cost 0 4.383 * * [simplify]: Extracting # 2 : cost 0 4.398 * * [simplify]: Extracting # 3 : cost 0 4.414 * * [simplify]: Extracting # 4 : cost 0 4.430 * * [simplify]: iteration done: 5000 enodes (cost 447 ) 4.431 * [simplify]: Simplified to: (* y (+ y (* 2 x))) (log (* y (+ y (* 2 x)))) (log (* y (+ y (* 2 x)))) (exp (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (* (cbrt (* y (+ y (* 2 x)))) (cbrt (* y (+ y (* 2 x))))) (cbrt (* y (+ y (* 2 x)))) (pow (* y (+ y (* 2 x))) 3) (sqrt (* y (+ y (* 2 x)))) (sqrt (* y (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* (sqrt y) (sqrt (+ y (* 2 x)))) (* y y) (* y (* 2 x)) (* y y) (* (* 2 x) y) (* y (* (cbrt (+ y (* 2 x))) (cbrt (+ y (* 2 x))))) (* y (sqrt (+ y (* 2 x)))) y (* (cbrt y) (+ y (* 2 x))) (* (sqrt y) (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* 4 (* x x)))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (log (+ (* y (+ y (* 2 x))) (* x x))) (exp (+ (* y (+ y (* 2 x))) (* x x))) (* (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (cbrt (+ (* y (+ y (* 2 x))) (* x x)))) (cbrt (+ (* y (+ y (* 2 x))) (* x x))) (pow (+ (* y (+ y (* 2 x))) (* x x)) 3) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (sqrt (+ (* y (+ y (* 2 x))) (* x x))) (+ (pow (* y (+ y (* 2 x))) 3) (pow x 6)) (+ (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* (* x x) (- (* x x) (* y (+ y (* 2 x)))))) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x)) (* x (+ x (* y 2))) (+ (* (* 2 x) y) (* x x)) (* y (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ y (* 2 x))) (+ (* x x) (* y (+ y (* 2 x)))) (+ (* x x) (* y (+ y (* 2 x)))) (+ (* x x) (* y (+ y (* 2 x)))) 4.431 * * * [progress]: adding candidates to table 4.637 * [progress]: [Phase 3 of 3] Extracting. 4.637 * * [regime]: Finding splitpoints for: (# #) 4.637 * * * [regime-changes]: Trying 2 branch expressions: (y x) 4.637 * * * * [regimes]: Trying to branch on y from (# #) 4.680 * * * * [regimes]: Trying to branch on x from (# #) 4.725 * * * [regime]: Found split indices: #