22.740 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.048 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.049 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 0.050 * * [simplify]: iteration 2 : 11 enodes (cost 9 ) 0.051 * * [simplify]: iteration done : 11 enodes (cost 9 ) 0.051 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.075 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.075 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.082 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.133 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.133 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.133 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.135 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.135 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.172 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.172 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.204 * * * [progress]: simplifying candidates 0.205 * [simplify]: Simplifying using # : (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.207 * * [simplify]: iteration 0 : 91 enodes (cost 451 ) 0.223 * * [simplify]: iteration 1 : 216 enodes (cost 406 ) 0.270 * * [simplify]: iteration 2 : 518 enodes (cost 366 ) 0.474 * * [simplify]: iteration 3 : 1531 enodes (cost 358 ) 1.283 * * [simplify]: iteration done : 5000 enodes (cost 358 ) 1.283 * [simplify]: Simplified to: (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) 1 (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow x 6) (pow 1.0 3))) (sqrt (+ (* 1.0 (+ (* x x) 1.0)) (pow x 4))) (sqrt (- (pow x 4) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (exp (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (- (* 2 (pow x 2)) (+ 1.0 (* x (sqrt (- (* x x) 1.0))))) (+ 1.0 0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)) (- (+ (/ 0.125 (pow x 3)) (/ 0.5 x)) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (/ 0.125 (pow x 3)) (/ 0.5 x))) (+ (+ (/ 0.0625 (pow x 5)) (/ 0.5 x)) (/ 0.125 (pow x 3))) 1.283 * * * [progress]: adding candidates to table 1.377 * * [progress]: iteration 2 / 4 1.377 * * * [progress]: picking best candidate 1.379 * * * * [pick]: Picked # 1.379 * * * [progress]: localizing error 1.390 * * * [progress]: generating rewritten candidates 1.390 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2 1 2) 1.395 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.650 * * * [progress]: generating series expansions 1.650 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2 1 2) 1.650 * [approximate]: Taking taylor expansion of (/ 0.125 (pow x 3)) in (x) around 0 1.650 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 1.650 * [taylor]: Taking taylor expansion of 0.125 in x 1.650 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 1.651 * [taylor]: Taking taylor expansion of 0.125 in x 1.651 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.666 * [approximate]: Taking taylor expansion of (* 0.125 (pow x 3)) in (x) around 0 1.666 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.666 * [taylor]: Taking taylor expansion of 0.125 in x 1.666 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.666 * [taylor]: Taking taylor expansion of x in x 1.666 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.666 * [taylor]: Taking taylor expansion of 0.125 in x 1.666 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.666 * [taylor]: Taking taylor expansion of x in x 1.678 * [approximate]: Taking taylor expansion of (* -0.125 (pow x 3)) in (x) around 0 1.678 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 1.678 * [taylor]: Taking taylor expansion of -0.125 in x 1.678 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 1.678 * [taylor]: Taking taylor expansion of -0.125 in x 1.678 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.690 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.690 * [approximate]: Taking taylor expansion of (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) in (x) around 0 1.690 * [taylor]: Taking taylor expansion of (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) in x 1.690 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.690 * [taylor]: Taking taylor expansion of 2 in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) in x 1.690 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow x 3))) in x 1.690 * [taylor]: Taking taylor expansion of 0.125 in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.690 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.691 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 1.691 * [taylor]: Taking taylor expansion of 0.5 in x 1.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) in x 1.692 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.692 * [taylor]: Taking taylor expansion of 2 in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) in x 1.692 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow x 3))) in x 1.692 * [taylor]: Taking taylor expansion of 0.125 in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.692 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 1.692 * [taylor]: Taking taylor expansion of 0.5 in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.710 * [approximate]: Taking taylor expansion of (- (* 2 (/ 1 x)) (+ (* 0.125 (pow x 3)) (* 0.5 x))) in (x) around 0 1.710 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x)) (+ (* 0.125 (pow x 3)) (* 0.5 x))) in x 1.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.710 * [taylor]: Taking taylor expansion of 2 in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.710 * [taylor]: Taking taylor expansion of (+ (* 0.125 (pow x 3)) (* 0.5 x)) in x 1.710 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.710 * [taylor]: Taking taylor expansion of 0.125 in x 1.710 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.710 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.710 * [taylor]: Taking taylor expansion of 0.5 in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.710 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x)) (+ (* 0.125 (pow x 3)) (* 0.5 x))) in x 1.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.710 * [taylor]: Taking taylor expansion of 2 in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.711 * [taylor]: Taking taylor expansion of (+ (* 0.125 (pow x 3)) (* 0.5 x)) in x 1.711 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.711 * [taylor]: Taking taylor expansion of 0.125 in x 1.711 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.711 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.711 * [taylor]: Taking taylor expansion of 0.5 in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.723 * [approximate]: Taking taylor expansion of (- (+ (* 0.125 (pow x 3)) (* 0.5 x)) (* 2 (/ 1 x))) in (x) around 0 1.723 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (pow x 3)) (* 0.5 x)) (* 2 (/ 1 x))) in x 1.723 * [taylor]: Taking taylor expansion of (+ (* 0.125 (pow x 3)) (* 0.5 x)) in x 1.723 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.723 * [taylor]: Taking taylor expansion of 0.125 in x 1.723 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.723 * [taylor]: Taking taylor expansion of 0.5 in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.723 * [taylor]: Taking taylor expansion of 2 in x 1.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.724 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (pow x 3)) (* 0.5 x)) (* 2 (/ 1 x))) in x 1.724 * [taylor]: Taking taylor expansion of (+ (* 0.125 (pow x 3)) (* 0.5 x)) in x 1.724 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.724 * [taylor]: Taking taylor expansion of 0.125 in x 1.724 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.724 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.724 * [taylor]: Taking taylor expansion of 0.5 in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.724 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.724 * [taylor]: Taking taylor expansion of 2 in x 1.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.735 * * * [progress]: simplifying candidates 1.737 * [simplify]: Simplifying using # : (- (log 0.125) (* (log x) 3)) (- (log 0.125) (* (log x) 3)) (- (log 0.125) (log (pow x 3))) (log (/ 0.125 (pow x 3))) (exp (/ 0.125 (pow x 3))) (/ (* (* 0.125 0.125) 0.125) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (/ 0.125 (pow x 3))) (cbrt (/ 0.125 (pow x 3)))) (cbrt (/ 0.125 (pow x 3))) (* (* (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3))) (/ 0.125 (pow x 3))) (sqrt (/ 0.125 (pow x 3))) (sqrt (/ 0.125 (pow x 3))) (- 0.125) (- (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (* (cbrt x) (cbrt x)) 3)) (/ (cbrt 0.125) (pow (cbrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (sqrt x) 3)) (/ (cbrt 0.125) (pow (sqrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow 1 3)) (/ (cbrt 0.125) (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (* x x)) (/ (cbrt 0.125) x) (/ (* (cbrt 0.125) (cbrt 0.125)) (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ (cbrt 0.125) (cbrt (pow x 3))) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (* (cbrt x) (cbrt x)) 3)) (/ (cbrt 0.125) (pow (cbrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (sqrt x) 3)) (/ (cbrt 0.125) (pow (sqrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow 1 3)) (/ (cbrt 0.125) (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) x) (/ (cbrt 0.125) (* x x)) (/ (* (cbrt 0.125) (cbrt 0.125)) (sqrt (pow x 3))) (/ (cbrt 0.125) (sqrt (pow x 3))) (/ (* (cbrt 0.125) (cbrt 0.125)) 1) (/ (cbrt 0.125) (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow x (/ 3 2))) (/ (cbrt 0.125) (pow x (/ 3 2))) (/ (sqrt 0.125) (pow (* (cbrt x) (cbrt x)) 3)) (/ (sqrt 0.125) (pow (cbrt x) 3)) (/ (sqrt 0.125) (pow (sqrt x) 3)) (/ (sqrt 0.125) (pow (sqrt x) 3)) (/ (sqrt 0.125) (pow 1 3)) (/ (sqrt 0.125) (pow x 3)) (/ (sqrt 0.125) (* x x)) (/ (sqrt 0.125) x) (/ (sqrt 0.125) (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ (sqrt 0.125) (cbrt (pow x 3))) (/ (sqrt 0.125) (pow (* (cbrt x) (cbrt x)) 3)) (/ (sqrt 0.125) (pow (cbrt x) 3)) (/ (sqrt 0.125) (pow (sqrt x) 3)) (/ (sqrt 0.125) (pow (sqrt x) 3)) (/ (sqrt 0.125) (pow 1 3)) (/ (sqrt 0.125) (pow x 3)) (/ (sqrt 0.125) x) (/ (sqrt 0.125) (* x x)) (/ (sqrt 0.125) (sqrt (pow x 3))) (/ (sqrt 0.125) (sqrt (pow x 3))) (/ (sqrt 0.125) 1) (/ (sqrt 0.125) (pow x 3)) (/ (sqrt 0.125) (pow x (/ 3 2))) (/ (sqrt 0.125) (pow x (/ 3 2))) (/ 1 (pow (* (cbrt x) (cbrt x)) 3)) (/ 0.125 (pow (cbrt x) 3)) (/ 1 (pow (sqrt x) 3)) (/ 0.125 (pow (sqrt x) 3)) (/ 1 (pow 1 3)) (/ 0.125 (pow x 3)) (/ 1 (* x x)) (/ 0.125 x) (/ 1 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ 0.125 (cbrt (pow x 3))) (/ 1 (pow (* (cbrt x) (cbrt x)) 3)) (/ 0.125 (pow (cbrt x) 3)) (/ 1 (pow (sqrt x) 3)) (/ 0.125 (pow (sqrt x) 3)) (/ 1 (pow 1 3)) (/ 0.125 (pow x 3)) (/ 1 x) (/ 0.125 (* x x)) (/ 1 (sqrt (pow x 3))) (/ 0.125 (sqrt (pow x 3))) (/ 1 1) (/ 0.125 (pow x 3)) (/ 1 (pow x (/ 3 2))) (/ 0.125 (pow x (/ 3 2))) (/ 1 (pow x 3)) (/ (pow x 3) 0.125) (/ 0.125 (pow (* (cbrt x) (cbrt x)) 3)) (/ 0.125 (pow (sqrt x) 3)) (/ 0.125 (pow 1 3)) (/ 0.125 (* x x)) (/ 0.125 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ 0.125 (pow (* (cbrt x) (cbrt x)) 3)) (/ 0.125 (pow (sqrt x) 3)) (/ 0.125 (pow 1 3)) (/ 0.125 x) (/ 0.125 (sqrt (pow x 3))) (/ 0.125 1) (/ 0.125 (pow x (/ 3 2))) (/ (pow x 3) (cbrt 0.125)) (/ (pow x 3) (sqrt 0.125)) (/ (pow x 3) 0.125) (* (exp x) (/ (/ (exp x) (exp (/ 0.125 (pow x 3)))) (exp (/ 0.5 x)))) (* (exp x) (/ (exp (- x (/ 0.125 (pow x 3)))) (exp (/ 0.5 x)))) (* (exp x) (exp (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (log (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (exp (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (* (cbrt (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (cbrt (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))))) (cbrt (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (* (* (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (sqrt (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (sqrt (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (+ (pow x 3) (pow (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)) 3)) (+ (* x x) (- (* (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)) (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (* x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))))) (- (* x x) (* (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)) (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (- x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ x (- x (/ 0.125 (pow x 3)))) (+ x x) (+ x x) (+ x (- x (/ 0.125 (pow x 3)))) (+ x (- x (/ 0.125 (pow x 3)))) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 1.740 * * [simplify]: iteration 0 : 133 enodes (cost 1137 ) 1.777 * * [simplify]: iteration 1 : 279 enodes (cost 975 ) 1.876 * * [simplify]: iteration 2 : 770 enodes (cost 921 ) 2.711 * * [simplify]: iteration 3 : 4256 enodes (cost 917 ) 3.912 * * [simplify]: iteration done : 5000 enodes (cost 917 ) 3.912 * [simplify]: Simplified to: (log (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (exp (/ 0.125 (pow x 3))) (pow (/ 0.125 (pow x 3)) 3) (* (cbrt (/ 0.125 (pow x 3))) (cbrt (/ 0.125 (pow x 3)))) (cbrt (/ 0.125 (pow x 3))) (pow (/ 0.125 (pow x 3)) 3) (sqrt (/ 0.125 (pow x 3))) (sqrt (/ 0.125 (pow x 3))) (- 0.125) (- (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (* x x)) (/ (cbrt 0.125) x) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (sqrt x) 3)) (/ (cbrt 0.125) (pow (sqrt x) 3)) (* (cbrt 0.125) (cbrt 0.125)) (/ (cbrt 0.125) (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (* x x)) (/ (cbrt 0.125) x) (/ (* (cbrt 0.125) (cbrt 0.125)) (* x x)) (/ (cbrt 0.125) x) (/ (* (cbrt 0.125) (cbrt 0.125)) (* x x)) (/ (cbrt 0.125) x) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (sqrt x) 3)) (/ (cbrt 0.125) (pow (sqrt x) 3)) (* (cbrt 0.125) (cbrt 0.125)) (/ (cbrt 0.125) (pow x 3)) (* (cbrt 0.125) (/ (cbrt 0.125) x)) (/ (cbrt 0.125) (* x x)) (/ (* (cbrt 0.125) (cbrt 0.125)) (sqrt (pow x 3))) (/ (cbrt 0.125) (sqrt (pow x 3))) (* (cbrt 0.125) (cbrt 0.125)) (/ (cbrt 0.125) (pow x 3)) (/ (cbrt 0.125) (/ (pow x 3/2) (cbrt 0.125))) (/ (cbrt 0.125) (pow x 3/2)) (/ (/ (sqrt 0.125) x) x) (/ (sqrt 0.125) x) (/ (sqrt 0.125) (pow (sqrt x) 3)) (/ (sqrt 0.125) (pow (sqrt x) 3)) (sqrt 0.125) (/ (sqrt 0.125) (pow x 3)) (/ (/ (sqrt 0.125) x) x) (/ (sqrt 0.125) x) (/ (/ (sqrt 0.125) x) x) (/ (sqrt 0.125) x) (/ (/ (sqrt 0.125) x) x) (/ (sqrt 0.125) x) (/ (sqrt 0.125) (pow (sqrt x) 3)) (/ (sqrt 0.125) (pow (sqrt x) 3)) (sqrt 0.125) (/ (sqrt 0.125) (pow x 3)) (/ (sqrt 0.125) x) (/ (/ (sqrt 0.125) x) x) (/ (sqrt 0.125) (sqrt (pow x 3))) (/ (sqrt 0.125) (sqrt (pow x 3))) (sqrt 0.125) (/ (sqrt 0.125) (pow x 3)) (/ (sqrt 0.125) (pow x 3/2)) (/ (sqrt 0.125) (pow x 3/2)) (/ 1 (* x x)) (/ 0.125 x) (/ 1 (pow (sqrt x) 3)) (/ 0.125 (pow (sqrt x) 3)) 1 (/ 0.125 (pow x 3)) (/ 1 (* x x)) (/ 0.125 x) (/ 1 (* x x)) (/ 0.125 x) (/ 1 (* x x)) (/ 0.125 x) (/ 1 (pow (sqrt x) 3)) (/ 0.125 (pow (sqrt x) 3)) 1 (/ 0.125 (pow x 3)) (/ 1 x) (/ (/ 0.125 x) x) (/ 1 (sqrt (pow x 3))) (/ 0.125 (sqrt (pow x 3))) 1 (/ 0.125 (pow x 3)) (/ 1 (pow x 3/2)) (/ 0.125 (pow x 3/2)) (/ 1 (pow x 3)) (/ (pow x 3) 0.125) (/ (/ 0.125 x) x) (/ 0.125 (pow (sqrt x) 3)) 0.125 (/ (/ 0.125 x) x) (/ (/ 0.125 x) x) (/ (/ 0.125 x) x) (/ 0.125 (pow (sqrt x) 3)) 0.125 (/ 0.125 x) (/ 0.125 (sqrt (pow x 3))) 0.125 (/ 0.125 (pow x 3/2)) (/ (pow x 3) (cbrt 0.125)) (/ (pow x 3) (sqrt 0.125)) (/ (pow x 3) 0.125) (exp (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (exp (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (exp (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (log (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (exp (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (* (cbrt (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (cbrt (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))))) (cbrt (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (pow (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) 3) (sqrt (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (sqrt (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) (+ (pow x 3) (pow (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)) 3)) (+ (* (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)) (- (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)) x)) (* x x)) (* (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ (/ 0.5 x) (+ 0 (/ 0.125 (pow x 3))))) (+ (/ 0.5 x) (+ 0 (/ 0.125 (pow x 3)))) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ x (- x (/ 0.125 (pow x 3)))) (+ x x) (+ x x) (+ x (- x (/ 0.125 (pow x 3)))) (+ x (- x (/ 0.125 (pow x 3)))) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))) 3.913 * * * [progress]: adding candidates to table 4.071 * [progress]: [Phase 3 of 3] Extracting. 4.073 * [simplify]: Simplifying using # : (log (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) 4.073 * * [simplify]: iteration 0 : 11 enodes (cost 14 ) 4.074 * * [simplify]: iteration 1 : 12 enodes (cost 14 ) 4.074 * * [simplify]: iteration done : 12 enodes (cost 14 ) 4.074 * [simplify]: Simplified to: (log (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)))) 5.435 * [regime-testing]: End program error score: 0.20833904633742864