2.438 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (+ x (* x x)) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: Extracting # 1 : cost 0 0.023 * * [simplify]: Extracting # 2 : cost 0 0.023 * * [simplify]: iteration 0 : 3 enodes (cost 5 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: Extracting # 3 : cost 0 0.024 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: iteration 2 : 11 enodes (cost 5 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.030 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: iteration 3 : 17 enodes (cost 5 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.037 * * [simplify]: iteration done: 17 enodes (cost 5 ) 0.037 * [simplify]: Simplified to: (+ x (* x x)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.055 * * * [progress]: generating series expansions 0.055 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.055 * [backup-simplify]: Simplify (+ x (* x x)) into (+ (pow x 2) x) 0.055 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ 0 1) into 1 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (* 1 1) into 1 0.062 * [backup-simplify]: Simplify (+ 1 0) into 1 0.062 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ (pow x 2) x) 0.069 * [backup-simplify]: Simplify (+ (/ 1 x) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (/ 1 x)) 0.069 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (* 1 1) into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify (+ 1 0) into 1 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 1) into 1 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) x) 0.085 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (/ 1 (pow x 2)) (/ 1 x)) 0.085 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [backup-simplify]: Simplify (+ 1 0) into 1 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- 1) into -1 0.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.088 * [backup-simplify]: Simplify -1 into -1 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) x) 0.104 * * * [progress]: simplifying candidates 0.105 * [simplify]: Simplifying: (* (exp x) (exp (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (- (* x x) (* (* x x) (* x x))) (- x (* x x)) (+ 1 x) (+ x 1) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.105 * * [simplify]: Extracting # 0 : cost 0 0.105 * * [simplify]: Extracting # 1 : cost 0 0.105 * * [simplify]: Extracting # 2 : cost 0 0.106 * * [simplify]: Extracting # 3 : cost 0 0.106 * * [simplify]: Extracting # 4 : cost 0 0.106 * * [simplify]: iteration 0 : 29 enodes (cost 130 ) 0.120 * * [simplify]: Extracting # 0 : cost 0 0.121 * * [simplify]: Extracting # 1 : cost 0 0.121 * * [simplify]: Extracting # 2 : cost 0 0.121 * * [simplify]: Extracting # 3 : cost 0 0.121 * * [simplify]: Extracting # 4 : cost 0 0.121 * * [simplify]: iteration 1 : 75 enodes (cost 123 ) 0.189 * * [simplify]: Extracting # 0 : cost 0 0.189 * * [simplify]: Extracting # 1 : cost 0 0.190 * * [simplify]: Extracting # 2 : cost 0 0.191 * * [simplify]: Extracting # 3 : cost 0 0.191 * * [simplify]: Extracting # 4 : cost 0 0.191 * * [simplify]: iteration 2 : 242 enodes (cost 107 ) 0.345 * * [simplify]: Extracting # 0 : cost 0 0.346 * * [simplify]: Extracting # 1 : cost 0 0.346 * * [simplify]: Extracting # 2 : cost 0 0.347 * * [simplify]: Extracting # 3 : cost 0 0.348 * * [simplify]: Extracting # 4 : cost 0 0.349 * * [simplify]: iteration 3 : 690 enodes (cost 107 ) 1.173 * * [simplify]: Extracting # 0 : cost 0 1.177 * * [simplify]: Extracting # 1 : cost 0 1.181 * * [simplify]: Extracting # 2 : cost 0 1.184 * * [simplify]: Extracting # 3 : cost 0 1.188 * * [simplify]: Extracting # 4 : cost 0 1.192 * * [simplify]: iteration 4 : 1979 enodes (cost 107 ) 2.870 * * [simplify]: Extracting # 0 : cost 0 2.884 * * [simplify]: Extracting # 1 : cost 0 2.895 * * [simplify]: Extracting # 2 : cost 0 2.906 * * [simplify]: Extracting # 3 : cost 0 2.918 * * [simplify]: Extracting # 4 : cost 0 2.930 * * [simplify]: iteration done: 5000 enodes (cost 107 ) 2.930 * [simplify]: Simplified to: (exp (+ x (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (pow (+ (pow x 2) x) 3) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 6) (pow x 3)) (+ (- (pow x 4) (pow x 3)) (* x x)) (- (* x x) (pow x 4)) (- x (pow x 2)) (+ 1 x) (+ 1 x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 2.930 * * * [progress]: adding candidates to table 2.957 * * [progress]: iteration 2 / 4 2.957 * * * [progress]: picking best candidate 2.959 * * * * [pick]: Picked # 2.959 * * * [progress]: localizing error 2.966 * * * [progress]: generating rewritten candidates 2.966 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.011 * * * [progress]: generating series expansions 3.011 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.011 * [backup-simplify]: Simplify (* x (+ 1 x)) into (* x (+ x 1)) 3.011 * [approximate]: Taking taylor expansion of (* x (+ x 1)) in (x) around 0 3.011 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 3.011 * [taylor]: Taking taylor expansion of x in x 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.011 * [taylor]: Taking taylor expansion of x in x 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of 1 in x 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 3.012 * [taylor]: Taking taylor expansion of x in x 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.012 * [taylor]: Taking taylor expansion of x in x 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of 1 in x 3.012 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (+ 0 1) into 1 3.013 * [backup-simplify]: Simplify (* 0 1) into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (+ 1 0) into 1 3.014 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [backup-simplify]: Simplify (+ 0 0) into 0 3.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.015 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify (+ 0 0) into 0 3.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify (+ 0 0) into 0 3.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ (pow x 2) x) 3.026 * [backup-simplify]: Simplify (* (/ 1 x) (+ 1 (/ 1 x))) into (/ (+ (/ 1 x) 1) x) 3.026 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in (x) around 0 3.026 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 3.026 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.026 * [taylor]: Taking taylor expansion of x in x 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (/ 1 1) into 1 3.027 * [taylor]: Taking taylor expansion of 1 in x 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [taylor]: Taking taylor expansion of x in x 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (+ 1 0) into 1 3.028 * [backup-simplify]: Simplify (/ 1 1) into 1 3.028 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 3.028 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.028 * [taylor]: Taking taylor expansion of x in x 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (/ 1 1) into 1 3.028 * [taylor]: Taking taylor expansion of 1 in x 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [taylor]: Taking taylor expansion of x in x 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (+ 1 0) into 1 3.030 * [backup-simplify]: Simplify (/ 1 1) into 1 3.030 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (+ 0 1) into 1 3.032 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.032 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (+ 0 0) into 0 3.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.039 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (+ 0 0) into 0 3.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.042 * [backup-simplify]: Simplify (+ 0 0) into 0 3.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) x) 3.046 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ 1 (/ 1 (- x)))) into (* -1 (/ (- 1 (/ 1 x)) x)) 3.046 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in (x) around 0 3.046 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 3.046 * [taylor]: Taking taylor expansion of -1 in x 3.046 * [backup-simplify]: Simplify -1 into -1 3.046 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 3.046 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.046 * [taylor]: Taking taylor expansion of 1 in x 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.046 * [taylor]: Taking taylor expansion of x in x 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.047 * [backup-simplify]: Simplify (/ 1 1) into 1 3.047 * [taylor]: Taking taylor expansion of x in x 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 1 into 1 3.047 * [backup-simplify]: Simplify (- 1) into -1 3.048 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.048 * [backup-simplify]: Simplify (/ -1 1) into -1 3.048 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 3.048 * [taylor]: Taking taylor expansion of -1 in x 3.048 * [backup-simplify]: Simplify -1 into -1 3.048 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 3.048 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.048 * [taylor]: Taking taylor expansion of 1 in x 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.049 * [taylor]: Taking taylor expansion of x in x 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (/ 1 1) into 1 3.049 * [taylor]: Taking taylor expansion of x in x 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (- 1) into -1 3.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.050 * [backup-simplify]: Simplify (/ -1 1) into -1 3.051 * [backup-simplify]: Simplify (* -1 -1) into 1 3.051 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (- 0) into 0 3.052 * [backup-simplify]: Simplify (+ 1 0) into 1 3.053 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 3.054 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 3.054 * [backup-simplify]: Simplify -1 into -1 3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.055 * [backup-simplify]: Simplify (- 0) into 0 3.055 * [backup-simplify]: Simplify (+ 0 0) into 0 3.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.057 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (- 0) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 3.061 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.063 * [backup-simplify]: Simplify (- 0) into 0 3.063 * [backup-simplify]: Simplify (+ 0 0) into 0 3.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (- 0) into 0 3.067 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (- 0) into 0 3.072 * [backup-simplify]: Simplify (+ 0 0) into 0 3.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (- 0) into 0 3.074 * [backup-simplify]: Simplify (+ 0 0) into 0 3.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) x) 3.076 * * * [progress]: simplifying candidates 3.077 * [simplify]: Simplifying: (* x (+ 1 x)) (+ (log x) (log (+ 1 x))) (log (* x (+ 1 x))) (exp (* x (+ 1 x))) (* (* (* x x) x) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) (* (cbrt (* x (+ 1 x))) (cbrt (* x (+ 1 x)))) (cbrt (* x (+ 1 x))) (* (* (* x (+ 1 x)) (* x (+ 1 x))) (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* x 1) (* x x) (* 1 x) (* x x) (* x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* x (sqrt (+ 1 x))) (* x 1) (* x 1) (* (cbrt x) (+ 1 x)) (* (sqrt x) (+ 1 x)) (* x (+ 1 x)) (* x (+ (pow 1 3) (pow x 3))) (* x (- (* 1 1) (* x x))) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 3.077 * * [simplify]: Extracting # 0 : cost 0 3.077 * * [simplify]: Extracting # 1 : cost 0 3.077 * * [simplify]: Extracting # 2 : cost 0 3.077 * * [simplify]: Extracting # 3 : cost 0 3.078 * * [simplify]: Extracting # 4 : cost 0 3.078 * * [simplify]: Extracting # 5 : cost 0 3.078 * * [simplify]: iteration 0 : 42 enodes (cost 188 ) 3.091 * * [simplify]: Extracting # 0 : cost 0 3.091 * * [simplify]: Extracting # 1 : cost 0 3.091 * * [simplify]: Extracting # 2 : cost 0 3.091 * * [simplify]: Extracting # 3 : cost 0 3.091 * * [simplify]: Extracting # 4 : cost 0 3.092 * * [simplify]: iteration 1 : 116 enodes (cost 173 ) 3.162 * * [simplify]: Extracting # 0 : cost 0 3.162 * * [simplify]: Extracting # 1 : cost 0 3.163 * * [simplify]: Extracting # 2 : cost 0 3.163 * * [simplify]: Extracting # 3 : cost 0 3.164 * * [simplify]: Extracting # 4 : cost 0 3.164 * * [simplify]: iteration 2 : 297 enodes (cost 153 ) 3.458 * * [simplify]: Extracting # 0 : cost 0 3.463 * * [simplify]: Extracting # 1 : cost 0 3.463 * * [simplify]: Extracting # 2 : cost 0 3.464 * * [simplify]: Extracting # 3 : cost 0 3.465 * * [simplify]: Extracting # 4 : cost 0 3.465 * * [simplify]: iteration 3 : 939 enodes (cost 152 ) 5.466 * * [simplify]: Extracting # 0 : cost 0 5.470 * * [simplify]: Extracting # 1 : cost 0 5.473 * * [simplify]: Extracting # 2 : cost 0 5.476 * * [simplify]: Extracting # 3 : cost 0 5.482 * * [simplify]: Extracting # 4 : cost 0 5.487 * * [simplify]: iteration 4 : 3542 enodes (cost 151 ) 7.685 * * [simplify]: Extracting # 0 : cost 0 7.693 * * [simplify]: Extracting # 1 : cost 0 7.702 * * [simplify]: Extracting # 2 : cost 0 7.709 * * [simplify]: Extracting # 3 : cost 0 7.714 * * [simplify]: Extracting # 4 : cost 0 7.721 * * [simplify]: iteration done: 5001 enodes (cost 151 ) 7.722 * [simplify]: Simplified to: (* x (+ 1 x)) (log (* x (+ 1 x))) (log (* x (+ 1 x))) (exp (* x (+ 1 x))) (pow (+ (pow x 2) x) 3) (* (cbrt (* x (+ 1 x))) (cbrt (* x (+ 1 x)))) (cbrt (* x (+ 1 x))) (pow (+ (pow x 2) x) 3) (sqrt (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) x (* x x) x (* x x) (* x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* x (sqrt (+ 1 x))) x x (* (cbrt x) (+ 1 x)) (* (sqrt x) (+ 1 x)) (* x (+ 1 x)) (+ (pow x 4) x) (- x (pow x 3)) (* x (+ 1 x)) (* x (+ 1 x)) (* x (+ 1 x)) 7.722 * * * [progress]: adding candidates to table 7.752 * [progress]: [Phase 3 of 3] Extracting. 7.752 * * [regime]: Finding splitpoints for: (# #)