0.769 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.321 * * * [progress]: [2/2] Setting up program. 0.326 * [progress]: [Phase 2 of 3] Improving. 0.328 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.333 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.334 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.335 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.336 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.337 * * [progress]: iteration 1 / 4 0.337 * * * [progress]: picking best candidate 0.341 * * * * [pick]: Picked # 0.341 * * * [progress]: localizing error 0.350 * * * [progress]: generating rewritten candidates 0.350 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.378 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.384 * * * [progress]: generating series expansions 0.384 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.388 * [approximate]: Approximating (sqrt (* (- x 1.0) x)) in (x) around 0 0.425 * [approximate]: Approximating (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.445 * [approximate]: Approximating (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.552 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.552 * [approximate]: Approximating (sqrt (- x 1.0)) in (x) around 0 0.573 * [approximate]: Approximating (sqrt (- (/ 1 x) 1.0)) in (x) around 0 0.599 * [approximate]: Approximating (sqrt (neg (+ 1.0 (/ 1 x)))) in (x) around 0 0.628 * * * [progress]: simplifying candidates 0.629 * [simplify]: Simplifying using # : (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (log (sqrt (- x 1.0))) (exp (sqrt (- x 1.0))) (* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0)))) (cbrt (sqrt (- x 1.0))) (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (sqrt (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (sqrt (cbrt (- x 1.0))) (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (- x 1.0))) (sqrt 1) (sqrt (- x 1.0)) (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt 1) (sqrt (- x 1.0)) (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ x 1.0)) (/ 1 2) (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (- x 1.0))) (- (+ (* 2 (* (pow x 3) (pow NAN 5))) (+ (* x NAN) (* (pow x 2) NAN))) (+ (* (pow x 2) (pow NAN 3)) (* 2 (* (pow x 3) (pow NAN 3))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* 3.0 (/ (pow NAN 4) (pow x 2))) (+ (* 4 (/ (pow NAN 6) (pow x 2))) (pow NAN 2))) (+ (* 1.0 (/ (pow NAN 2) x)) (* 2 (/ (pow NAN 4) x)))) (- (+ (sqrt (neg 1.0)) (* 1/2 (/ x (sqrt (neg 1.0))))) (* 1/8 (/ (pow x 2) (pow (sqrt (neg 1.0)) 3)))) (+ (* 1.0 (/ NAN x)) (+ (/ (pow NAN 3) x) (+ NAN (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (* 2 (/ (pow NAN 5) (pow x 2))))))) (- (+ NAN (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (/ (pow NAN 3) x))) 0.633 * * [simplify]: iteration 0 : 313 enodes (cost 346 ) 0.639 * * [simplify]: iteration 1 : 1252 enodes (cost 339 ) 0.662 * * [simplify]: iteration 2 : 5001 enodes (cost 335 ) 0.665 * [simplify]: Simplified to: (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (log (sqrt (- x 1.0))) (exp (sqrt (- x 1.0))) (* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0)))) (cbrt (sqrt (- x 1.0))) (pow (sqrt (- x 1.0)) 3) (fabs (cbrt (- x 1.0))) (sqrt (cbrt (- x 1.0))) (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (- x 1.0))) 1 (sqrt (- x 1.0)) (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (- (sqrt x) (sqrt 1.0))) 1 (sqrt (- x 1.0)) (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ x 1.0)) 1/2 (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (- x 1.0))) (+ (* NAN (+ x (pow x 2))) (- (* 2 (* (pow x 3) (pow NAN 5))) (* (pow NAN 3) (+ (* 2 (pow x 3)) (pow x 2))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* 3.0 (/ (pow NAN 4) (pow x 2))) (+ (* 4 (/ (pow NAN 6) (pow x 2))) (pow NAN 2))) (+ (* 1.0 (/ (pow NAN 2) x)) (* 2 (/ (pow NAN 4) x)))) (- (+ (sqrt (neg 1.0)) (* 1/2 (/ x (sqrt (neg 1.0))))) (* 1/8 (/ (pow x 2) (pow (sqrt (neg 1.0)) 3)))) (+ (* 1.0 (/ NAN x)) (+ (/ (pow NAN 3) x) (+ NAN (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (* 2 (/ (pow NAN 5) (pow x 2))))))) (- (+ NAN (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (/ (pow NAN 3) x))) 0.665 * * * [progress]: adding candidates to table 0.842 * * [progress]: iteration 2 / 4 0.842 * * * [progress]: picking best candidate 0.844 * * * * [pick]: Picked # 0.844 * * * [progress]: localizing error 0.849 * * * [progress]: generating rewritten candidates 0.850 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 2) 0.858 * * * [progress]: generating series expansions 0.858 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 2) 0.858 * [approximate]: Approximating (/ 0.125 x) in (x) around 0 0.863 * [approximate]: Approximating (* 0.125 x) in (x) around 0 0.873 * [approximate]: Approximating (* -0.125 x) in (x) around 0 0.880 * * * [progress]: simplifying candidates 0.881 * [simplify]: Simplifying using # : (* 0.125 (/ 1 x)) (+ (log 0.125) (neg (log x))) (+ (log 0.125) (- 0 (log x))) (+ (log 0.125) (- (log 1) (log x))) (+ (log 0.125) (log (/ 1 x))) (log (* 0.125 (/ 1 x))) (exp (* 0.125 (/ 1 x))) (* (* (* 0.125 0.125) 0.125) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* 0.125 0.125) 0.125) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* 0.125 (/ 1 x))) (cbrt (* 0.125 (/ 1 x)))) (cbrt (* 0.125 (/ 1 x))) (* (* (* 0.125 (/ 1 x)) (* 0.125 (/ 1 x))) (* 0.125 (/ 1 x))) (sqrt (* 0.125 (/ 1 x))) (sqrt (* 0.125 (/ 1 x))) (* (sqrt 0.125) (sqrt (/ 1 x))) (* (sqrt 0.125) (sqrt (/ 1 x))) (* (sqrt 0.125) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.125) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.125) (/ 1 (sqrt x))) (* (sqrt 0.125) (/ 1 (sqrt x))) (* 0.125 (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* 0.125 (sqrt (/ 1 x))) (* 0.125 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* 0.125 (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* 0.125 (/ (* (cbrt 1) (cbrt 1)) 1)) (* 0.125 (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* 0.125 (/ (sqrt 1) (sqrt x))) (* 0.125 (/ (sqrt 1) 1)) (* 0.125 (/ 1 (* (cbrt x) (cbrt x)))) (* 0.125 (/ 1 (sqrt x))) (* 0.125 (/ 1 1)) (* 0.125 1) (* 0.125 1) (* (cbrt 0.125) (/ 1 x)) (* (sqrt 0.125) (/ 1 x)) (* 0.125 (/ 1 x)) (* 0.125 1) (/ 0.125 x) (/ 0.125 x) (/ 0.125 x) 0.884 * * [simplify]: iteration 0 : 174 enodes (cost 138 ) 0.887 * * [simplify]: iteration 1 : 722 enodes (cost 114 ) 0.899 * * [simplify]: iteration 2 : 2570 enodes (cost 96 ) 0.921 * * [simplify]: iteration 3 : 4879 enodes (cost 96 ) 0.955 * * [simplify]: iteration 4 : 5001 enodes (cost 96 ) 0.956 * [simplify]: Simplified to: (/ 0.125 x) (- (log 0.125) (log x)) (- (log 0.125) (log x)) (- (log 0.125) (log x)) (- (log 0.125) (log x)) (- (log 0.125) (log x)) (exp (* 0.125 (/ 1 x))) (pow (/ 0.125 x) 3) (pow (/ 0.125 x) 3) (* (cbrt (* 0.125 (/ 1 x))) (cbrt (* 0.125 (/ 1 x)))) (cbrt (* 0.125 (/ 1 x))) (pow (/ 0.125 x) 3) (sqrt (* 0.125 (/ 1 x))) (sqrt (* 0.125 (/ 1 x))) (* (sqrt 0.125) (sqrt (/ 1 x))) (* (sqrt 0.125) (sqrt (/ 1 x))) (/ (sqrt 0.125) (sqrt x)) (/ (sqrt 0.125) (sqrt x)) (/ (sqrt 0.125) (sqrt x)) (/ (sqrt 0.125) (sqrt x)) (* 0.125 (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* 0.125 (sqrt (/ 1 x))) (/ 0.125 (* (cbrt x) (cbrt x))) (/ 0.125 (sqrt x)) 0.125 (/ 0.125 (* (cbrt x) (cbrt x))) (/ 0.125 (sqrt x)) 0.125 (/ 0.125 (* (cbrt x) (cbrt x))) (/ 0.125 (sqrt x)) 0.125 0.125 0.125 (/ (cbrt 0.125) x) (/ (sqrt 0.125) x) (/ 0.125 x) 0.125 (/ 0.125 x) (/ 0.125 x) (/ 0.125 x) 0.957 * * * [progress]: adding candidates to table 1.031 * [progress]: [Phase 3 of 3] Extracting. 1.032 * * [regime]: Finding splitpoints for: (# #) 1.032 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 1.032 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# #) 1.069 * * * * [regimes]: Trying to branch on x from (# #) 1.093 * * * [regime]: Found split indices: #