0.534 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (+ (* x x) 1.0) 0.012 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.013 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.013 * * [simplify]: iteration done : 5 enodes (cost 5 ) 0.013 * [simplify]: Simplified to: (+ (* x x) 1.0) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.015 * * * [progress]: localizing error 0.018 * * * [progress]: generating rewritten candidates 0.018 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.021 * * * [progress]: generating series expansions 0.021 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.021 * [approximate]: Taking taylor expansion of (+ (pow x 2) 1.0) in (x) around 0 0.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.021 * [taylor]: Taking taylor expansion of x in x 0.021 * [taylor]: Taking taylor expansion of 1.0 in x 0.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.021 * [taylor]: Taking taylor expansion of x in x 0.021 * [taylor]: Taking taylor expansion of 1.0 in x 0.028 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 0.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of 1.0 in x 0.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp 1.0)) (log (+ (* x x) 1.0)) (exp (+ (* x x) 1.0)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (cbrt (+ (* x x) 1.0)) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (+ (pow (* x x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))) (- (* (* x x) (* x x)) (* 1.0 1.0)) (- (* x x) 1.0) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) 0.061 * * [simplify]: iteration 0 : 28 enodes (cost 124 ) 0.067 * * [simplify]: iteration 1 : 82 enodes (cost 121 ) 0.085 * * [simplify]: iteration 2 : 267 enodes (cost 101 ) 0.153 * * [simplify]: iteration 3 : 469 enodes (cost 101 ) 0.293 * * [simplify]: iteration 4 : 967 enodes (cost 101 ) 0.682 * * [simplify]: iteration 5 : 2381 enodes (cost 101 ) 1.865 * * [simplify]: iteration done : 5001 enodes (cost 101 ) 1.865 * [simplify]: Simplified to: (exp (+ (* x x) 1.0)) (log (+ (* x x) 1.0)) (exp (+ (* x x) 1.0)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))) (cbrt (+ (* x x) 1.0)) (pow (+ (* x x) 1.0) 3) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (+ (pow x 6) (pow 1.0 3)) (+ (* 1.0 (- 1.0 (* x x))) (pow x 4)) (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0) (+ (* x x) 1.0) (+ (* x x) 1.0) (+ (* x x) 1.0) 1.865 * * * [progress]: adding candidates to table 1.886 * * [progress]: iteration 2 / 4 1.886 * * * [progress]: picking best candidate 1.888 * * * * [pick]: Picked # 1.888 * * * [progress]: localizing error 1.895 * * * [progress]: generating rewritten candidates 1.895 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.920 * * * [progress]: generating series expansions 1.920 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.921 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) 1.0) (- (pow x 2) 1.0)) in (x) around 0 1.921 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) 1.0) (- (pow x 2) 1.0)) in x 1.921 * [taylor]: Taking taylor expansion of (- (pow x 4) 1.0) in x 1.921 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.921 * [taylor]: Taking taylor expansion of 1.0 in x 1.921 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.921 * [taylor]: Taking taylor expansion of x in x 1.921 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) 1.0) (- (pow x 2) 1.0)) in x 1.923 * [taylor]: Taking taylor expansion of (- (pow x 4) 1.0) in x 1.923 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.924 * [taylor]: Taking taylor expansion of 1.0 in x 1.924 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.924 * [taylor]: Taking taylor expansion of 1.0 in x 1.953 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) 1.0) (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.953 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) 1.0) (- (/ 1 (pow x 2)) 1.0)) in x 1.953 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.953 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.954 * [taylor]: Taking taylor expansion of 1.0 in x 1.954 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.954 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of 1.0 in x 1.955 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) 1.0) (- (/ 1 (pow x 2)) 1.0)) in x 1.955 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.955 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of 1.0 in x 1.956 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.957 * [taylor]: Taking taylor expansion of 1.0 in x 2.003 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) 1.0) (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 2.003 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) 1.0) (- (/ 1 (pow x 2)) 1.0)) in x 2.003 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.003 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.004 * [taylor]: Taking taylor expansion of 1.0 in x 2.004 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of 1.0 in x 2.005 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) 1.0) (- (/ 1 (pow x 2)) 1.0)) in x 2.005 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) 1.0) in x 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.005 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.006 * [taylor]: Taking taylor expansion of 1.0 in x 2.006 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.006 * [taylor]: Taking taylor expansion of x in x 2.007 * [taylor]: Taking taylor expansion of 1.0 in x 2.048 * * * [progress]: simplifying candidates 2.049 * [simplify]: Simplifying using # : (- (log (- (pow x 4) (* 1.0 1.0))) (log (- (* x x) 1.0))) (log (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))) (exp (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))) (/ (* (* (- (pow x 4) (* 1.0 1.0)) (- (pow x 4) (* 1.0 1.0))) (- (pow x 4) (* 1.0 1.0))) (* (* (- (* x x) 1.0) (- (* x x) 1.0)) (- (* x x) 1.0))) (* (cbrt (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))) (cbrt (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0)))) (cbrt (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))) (* (* (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0)) (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))) (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))) (sqrt (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))) (sqrt (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))) (- (- (pow x 4) (* 1.0 1.0))) (- (- (* x x) 1.0)) (/ (pow x 4) (- (* x x) 1.0)) (/ (* 1.0 1.0) (- (* x x) 1.0)) (/ (* (cbrt (- (pow x 4) (* 1.0 1.0))) (cbrt (- (pow x 4) (* 1.0 1.0)))) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (/ (cbrt (- (pow x 4) (* 1.0 1.0))) (cbrt (- (* x x) 1.0))) (/ (* (cbrt (- (pow x 4) (* 1.0 1.0))) (cbrt (- (pow x 4) (* 1.0 1.0)))) (sqrt (- (* x x) 1.0))) (/ (cbrt (- (pow x 4) (* 1.0 1.0))) (sqrt (- (* x x) 1.0))) (/ (* (cbrt (- (pow x 4) (* 1.0 1.0))) (cbrt (- (pow x 4) (* 1.0 1.0)))) 1) (/ (cbrt (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0)) (/ (* (cbrt (- (pow x 4) (* 1.0 1.0))) (cbrt (- (pow x 4) (* 1.0 1.0)))) (+ x (sqrt 1.0))) (/ (cbrt (- (pow x 4) (* 1.0 1.0))) (- x (sqrt 1.0))) (/ (sqrt (- (pow x 4) (* 1.0 1.0))) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (/ (sqrt (- (pow x 4) (* 1.0 1.0))) (cbrt (- (* x x) 1.0))) (/ (sqrt (- (pow x 4) (* 1.0 1.0))) (sqrt (- (* x x) 1.0))) (/ (sqrt (- (pow x 4) (* 1.0 1.0))) (sqrt (- (* x x) 1.0))) (/ (sqrt (- (pow x 4) (* 1.0 1.0))) 1) (/ (sqrt (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0)) (/ (sqrt (- (pow x 4) (* 1.0 1.0))) (+ x (sqrt 1.0))) (/ (sqrt (- (pow x 4) (* 1.0 1.0))) (- x (sqrt 1.0))) (/ 1 (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (/ (- (pow x 4) (* 1.0 1.0)) (cbrt (- (* x x) 1.0))) (/ 1 (sqrt (- (* x x) 1.0))) (/ (- (pow x 4) (* 1.0 1.0)) (sqrt (- (* x x) 1.0))) (/ 1 1) (/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0)) (/ 1 (+ x (sqrt 1.0))) (/ (- (pow x 4) (* 1.0 1.0)) (- x (sqrt 1.0))) (/ (+ (pow (sqrt x) 4) 1.0) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (/ (- (pow (sqrt x) 4) 1.0) (cbrt (- (* x x) 1.0))) (/ (+ (pow (sqrt x) 4) 1.0) (sqrt (- (* x x) 1.0))) (/ (- (pow (sqrt x) 4) 1.0) (sqrt (- (* x x) 1.0))) (/ (+ (pow (sqrt x) 4) 1.0) 1) (/ (- (pow (sqrt x) 4) 1.0) (- (* x x) 1.0)) (/ (+ (pow (sqrt x) 4) 1.0) (+ x (sqrt 1.0))) (/ (- (pow (sqrt x) 4) 1.0) (- x (sqrt 1.0))) (/ (+ (sqrt (pow x 4)) 1.0) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (/ (- (sqrt (pow x 4)) 1.0) (cbrt (- (* x x) 1.0))) (/ (+ (sqrt (pow x 4)) 1.0) (sqrt (- (* x x) 1.0))) (/ (- (sqrt (pow x 4)) 1.0) (sqrt (- (* x x) 1.0))) (/ (+ (sqrt (pow x 4)) 1.0) 1) (/ (- (sqrt (pow x 4)) 1.0) (- (* x x) 1.0)) (/ (+ (sqrt (pow x 4)) 1.0) (+ x (sqrt 1.0))) (/ (- (sqrt (pow x 4)) 1.0) (- x (sqrt 1.0))) (/ (+ (pow x (/ 4 2)) 1.0) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (/ (- (pow x (/ 4 2)) 1.0) (cbrt (- (* x x) 1.0))) (/ (+ (pow x (/ 4 2)) 1.0) (sqrt (- (* x x) 1.0))) (/ (- (pow x (/ 4 2)) 1.0) (sqrt (- (* x x) 1.0))) (/ (+ (pow x (/ 4 2)) 1.0) 1) (/ (- (pow x (/ 4 2)) 1.0) (- (* x x) 1.0)) (/ (+ (pow x (/ 4 2)) 1.0) (+ x (sqrt 1.0))) (/ (- (pow x (/ 4 2)) 1.0) (- x (sqrt 1.0))) (/ 1 (- (* x x) 1.0)) (/ (- (* x x) 1.0) (- (pow x 4) (* 1.0 1.0))) (/ (- (pow x 4) (* 1.0 1.0)) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (/ (- (pow x 4) (* 1.0 1.0)) (sqrt (- (* x x) 1.0))) (/ (- (pow x 4) (* 1.0 1.0)) 1) (/ (- (pow x 4) (* 1.0 1.0)) (+ x (sqrt 1.0))) (/ (- (* x x) 1.0) (cbrt (- (pow x 4) (* 1.0 1.0)))) (/ (- (* x x) 1.0) (sqrt (- (pow x 4) (* 1.0 1.0)))) (/ (- (* x x) 1.0) (- (pow x 4) (* 1.0 1.0))) (/ (- (* x x) 1.0) (- (pow (sqrt x) 4) 1.0)) (/ (- (* x x) 1.0) (- (sqrt (pow x 4)) 1.0)) (/ (- (* x x) 1.0) (- (pow x (/ 4 2)) 1.0)) (/ (- (pow x 4) (* 1.0 1.0)) (- (pow (* x x) 3) (pow 1.0 3))) (/ (- (pow x 4) (* 1.0 1.0)) (- (* (* x x) (* x x)) (* 1.0 1.0))) (* (- (* x x) 1.0) (+ (* (pow x 4) (pow x 4)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (pow x 4) (* 1.0 1.0))))) (* (- (* x x) 1.0) (+ (pow x 4) (* 1.0 1.0))) (+ (* 1.0 (pow x 2)) 1.0) (+ (pow x 2) 1.0) (+ (pow x 2) 1.0) 2.053 * * [simplify]: iteration 0 : 126 enodes (cost 1143 ) 2.078 * * [simplify]: iteration 1 : 313 enodes (cost 1102 ) 2.137 * * [simplify]: iteration 2 : 883 enodes (cost 1044 )