0.732 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.095 * [progress]: [Phase 2 of 3] Improving. 0.133 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.133 * * [simplify]: iteration 0: 6 enodes 0.138 * * [simplify]: iteration 1: 9 enodes 0.140 * * [simplify]: iteration 2: 10 enodes 0.142 * * [simplify]: iteration complete: 10 enodes 0.143 * * [simplify]: Extracting #0: cost 1 inf + 0 0.143 * * [simplify]: Extracting #1: cost 3 inf + 0 0.143 * * [simplify]: Extracting #2: cost 5 inf + 0 0.144 * * [simplify]: Extracting #3: cost 6 inf + 1 0.144 * * [simplify]: Extracting #4: cost 0 inf + 370 0.144 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.146 * * [progress]: iteration 1 / 4 0.146 * * * [progress]: picking best candidate 0.149 * * * * [pick]: Picked # 0.149 * * * [progress]: localizing error 0.159 * * * [progress]: generating rewritten candidates 0.160 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.191 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* x (- x 1.0))) 0.191 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.191 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.193 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.193 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.194 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.196 * [backup-simplify]: Simplify (sqrt 0) into 0 0.197 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.197 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 0.197 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.198 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.198 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 0.200 * [backup-simplify]: Simplify (sqrt 0) into 0 0.201 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 0.206 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.206 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 0.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.702 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.704 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 0.705 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.705 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.705 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.705 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.705 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [backup-simplify]: Simplify 1.0 into 1.0 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (+ 1 0) into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [backup-simplify]: Simplify (sqrt 1) into 1 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.713 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.717 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.719 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.719 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.720 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.720 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify (/ 1 1) into 1 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [backup-simplify]: Simplify 1.0 into 1.0 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (+ 1 0) into 1 0.721 * [backup-simplify]: Simplify (/ 1 1) into 1 0.722 * [backup-simplify]: Simplify (sqrt 1) into 1 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.724 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.727 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.729 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify -0.5 into -0.5 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (- 0) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.735 * [backup-simplify]: Simplify -0.125 into -0.125 0.736 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 0.736 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) 0.736 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in (x) around 0 0.736 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.736 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.736 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [backup-simplify]: Simplify 1.0 into 1.0 0.768 * [backup-simplify]: Simplify (+ 1 0) into 1 0.769 * [backup-simplify]: Simplify (- 1) into -1 0.770 * [backup-simplify]: Simplify (sqrt 0) into 0 0.770 * [backup-simplify]: Simplify (- 1) into -1 0.772 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.772 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.772 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.772 * [taylor]: Taking taylor expansion of -1 in x 0.772 * [backup-simplify]: Simplify -1 into -1 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (/ -1 1) into -1 0.773 * [backup-simplify]: Simplify (sqrt 0) into 0 0.774 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.774 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1.0))) (sqrt (/ -1 x))) in x 0.774 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1.0))) in x 0.774 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1.0)) in x 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [backup-simplify]: Simplify 1.0 into 1.0 0.775 * [backup-simplify]: Simplify (+ 1 0) into 1 0.776 * [backup-simplify]: Simplify (- 1) into -1 0.776 * [backup-simplify]: Simplify (sqrt 0) into 0 0.777 * [backup-simplify]: Simplify (- 1) into -1 0.778 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.778 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.778 * [taylor]: Taking taylor expansion of -1 in x 0.778 * [backup-simplify]: Simplify -1 into -1 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ -1 1) into -1 0.779 * [backup-simplify]: Simplify (sqrt 0) into 0 0.781 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.782 * [backup-simplify]: Simplify (* 0 0) into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.789 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.793 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.796 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.797 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (- 0) into 0 0.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.817 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.817 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (- 0) into 0 0.872 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.879 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.880 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.882 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.882 * * * [progress]: simplifying candidates 0.884 * [simplify]: Simplifying: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- 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)) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 0.125 (/ 1 x)) 0.5)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.885 * * [simplify]: iteration 0: 85 enodes 0.910 * * [simplify]: iteration 1: 198 enodes 1.016 * * [simplify]: iteration 2: 511 enodes 1.307 * * [simplify]: iteration 3: 1427 enodes 2.603 * * [simplify]: iteration 4: 4954 enodes 3.763 * * [simplify]: iteration complete: 5000 enodes 3.763 * * [simplify]: Extracting #0: cost 24 inf + 0 3.764 * * [simplify]: Extracting #1: cost 324 inf + 0 3.771 * * [simplify]: Extracting #2: cost 1070 inf + 645 3.794 * * [simplify]: Extracting #3: cost 971 inf + 34191 3.821 * * [simplify]: Extracting #4: cost 362 inf + 121775 3.903 * * [simplify]: Extracting #5: cost 45 inf + 185649 3.957 * * [simplify]: Extracting #6: cost 11 inf + 194423 4.031 * * [simplify]: Extracting #7: cost 0 inf + 198923 4.080 * [simplify]: Simplified to: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- 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))) (* (* (- x 1.0) (sqrt (- x 1.0))) (* x (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (- x 1.0) (sqrt (- x 1.0))) (* x (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)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (sqrt x)) (sqrt (- x 1.0))) (sqrt (- x 1.0)) (* (sqrt (sqrt x)) (sqrt (- x 1.0))) (sqrt (- x 1.0)) (* (sqrt x) (cbrt (sqrt (- x 1.0)))) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (* x (* x x)) (* (* 1.0 1.0) 1.0)))) (* (sqrt (* (+ 1.0 x) (- x 1.0))) (sqrt x)) (- (* +nan.0 (* x (- (* x x) x))) (* +nan.0 x)) (- x (+ 0.5 (/ 0.125 x))) (fma (/ +nan.0 x) (/ -1 x) (- (/ +nan.0 x) +nan.0)) 4.082 * * * [progress]: adding candidates to table 4.236 * * [progress]: iteration 2 / 4 4.236 * * * [progress]: picking best candidate 4.241 * * * * [pick]: Picked # 4.242 * * * [progress]: localizing error 4.252 * * * [progress]: generating rewritten candidates 4.252 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.292 * * * [progress]: generating series expansions 4.292 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.293 * [backup-simplify]: Simplify (- x (+ 0.5 (/ 0.125 x))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 4.293 * [approximate]: Taking taylor expansion of (- x (+ (* 0.125 (/ 1 x)) 0.5)) in (x) around 0 4.293 * [taylor]: Taking taylor expansion of (- x (+ (* 0.125 (/ 1 x)) 0.5)) in x 4.293 * [taylor]: Taking taylor expansion of x in x 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 x)) 0.5) in x 4.293 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 4.293 * [taylor]: Taking taylor expansion of 0.125 in x 4.293 * [backup-simplify]: Simplify 0.125 into 0.125 4.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.293 * [taylor]: Taking taylor expansion of x in x 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.294 * [backup-simplify]: Simplify (/ 1 1) into 1 4.294 * [taylor]: Taking taylor expansion of 0.5 in x 4.294 * [backup-simplify]: Simplify 0.5 into 0.5 4.294 * [taylor]: Taking taylor expansion of (- x (+ (* 0.125 (/ 1 x)) 0.5)) in x 4.294 * [taylor]: Taking taylor expansion of x in x 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.294 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 x)) 0.5) in x 4.294 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 4.294 * [taylor]: Taking taylor expansion of 0.125 in x 4.294 * [backup-simplify]: Simplify 0.125 into 0.125 4.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.294 * [taylor]: Taking taylor expansion of x in x 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.294 * [backup-simplify]: Simplify (/ 1 1) into 1 4.295 * [taylor]: Taking taylor expansion of 0.5 in x 4.295 * [backup-simplify]: Simplify 0.5 into 0.5 4.295 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 4.296 * [backup-simplify]: Simplify (+ 0.125 0) into 0.125 4.296 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 4.297 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 4.297 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 4.299 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.300 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.301 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.301 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 4.303 * [backup-simplify]: Simplify (+ 0 0) into 0 4.304 * [backup-simplify]: Simplify (- 0) into 0 4.304 * [backup-simplify]: Simplify (+ 1 0) into 1 4.304 * [backup-simplify]: Simplify 1 into 1 4.305 * [backup-simplify]: Simplify (+ (* 1 x) (+ (- 0.5) (* (- 0.125) (/ 1 x)))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 4.305 * [backup-simplify]: Simplify (- (/ 1 x) (+ 0.5 (/ 0.125 (/ 1 x)))) into (- (/ 1 x) (+ (* 0.125 x) 0.5)) 4.305 * [approximate]: Taking taylor expansion of (- (/ 1 x) (+ (* 0.125 x) 0.5)) in (x) around 0 4.305 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 0.125 x) 0.5)) in x 4.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.305 * [taylor]: Taking taylor expansion of x in x 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 1 into 1 4.306 * [backup-simplify]: Simplify (/ 1 1) into 1 4.306 * [taylor]: Taking taylor expansion of (+ (* 0.125 x) 0.5) in x 4.306 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 4.306 * [taylor]: Taking taylor expansion of 0.125 in x 4.306 * [backup-simplify]: Simplify 0.125 into 0.125 4.306 * [taylor]: Taking taylor expansion of x in x 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify 1 into 1 4.306 * [taylor]: Taking taylor expansion of 0.5 in x 4.306 * [backup-simplify]: Simplify 0.5 into 0.5 4.306 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 0.125 x) 0.5)) in x 4.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.306 * [taylor]: Taking taylor expansion of x in x 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify 1 into 1 4.307 * [backup-simplify]: Simplify (/ 1 1) into 1 4.307 * [taylor]: Taking taylor expansion of (+ (* 0.125 x) 0.5) in x 4.307 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 4.307 * [taylor]: Taking taylor expansion of 0.125 in x 4.307 * [backup-simplify]: Simplify 0.125 into 0.125 4.307 * [taylor]: Taking taylor expansion of x in x 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [taylor]: Taking taylor expansion of 0.5 in x 4.307 * [backup-simplify]: Simplify 0.5 into 0.5 4.307 * [backup-simplify]: Simplify (+ 1 0) into 1 4.307 * [backup-simplify]: Simplify 1 into 1 4.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (* 0.125 0) into 0 4.309 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.309 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.310 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.311 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify (+ (* 0.125 1) (* 0 0)) into 0.125 4.314 * [backup-simplify]: Simplify (+ 0.125 0) into 0.125 4.314 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 4.315 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 4.316 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 4.317 * [backup-simplify]: Simplify (+ (* (- 0.125) (/ 1 x)) (+ (- 0.5) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 4.317 * [backup-simplify]: Simplify (- (/ 1 (- x)) (+ 0.5 (/ 0.125 (/ 1 (- x))))) into (- (* 0.125 x) (+ (/ 1 x) 0.5)) 4.317 * [approximate]: Taking taylor expansion of (- (* 0.125 x) (+ (/ 1 x) 0.5)) in (x) around 0 4.317 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (+ (/ 1 x) 0.5)) in x 4.317 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 4.317 * [taylor]: Taking taylor expansion of 0.125 in x 4.317 * [backup-simplify]: Simplify 0.125 into 0.125 4.317 * [taylor]: Taking taylor expansion of x in x 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 0.5) in x 4.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.317 * [taylor]: Taking taylor expansion of x in x 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [taylor]: Taking taylor expansion of 0.5 in x 4.318 * [backup-simplify]: Simplify 0.5 into 0.5 4.318 * [taylor]: Taking taylor expansion of (- (* 0.125 x) (+ (/ 1 x) 0.5)) in x 4.318 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 4.318 * [taylor]: Taking taylor expansion of 0.125 in x 4.318 * [backup-simplify]: Simplify 0.125 into 0.125 4.318 * [taylor]: Taking taylor expansion of x in x 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 0.5) in x 4.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.318 * [taylor]: Taking taylor expansion of x in x 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [taylor]: Taking taylor expansion of 0.5 in x 4.318 * [backup-simplify]: Simplify 0.5 into 0.5 4.319 * [backup-simplify]: Simplify (+ 1 0) into 1 4.319 * [backup-simplify]: Simplify (- 1) into -1 4.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.320 * [backup-simplify]: Simplify -1 into -1 4.320 * [backup-simplify]: Simplify (* 0.125 0) into 0 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 4.322 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.323 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.323 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.324 * [backup-simplify]: Simplify (+ (* 0.125 1) (* 0 0)) into 0.125 4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (+ 0 0) into 0 4.326 * [backup-simplify]: Simplify (- 0) into 0 4.327 * [backup-simplify]: Simplify (+ 0.125 0) into 0.125 4.327 * [backup-simplify]: Simplify 0.125 into 0.125 4.327 * [backup-simplify]: Simplify (+ (* 0.125 (/ 1 (- x))) (+ (- 0.5) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 4.327 * * * [progress]: simplifying candidates 4.329 * [simplify]: Simplifying: (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt (+ 0.5 (/ 0.125 x))) (* (cbrt (+ 0.5 (/ 0.125 x))) (cbrt (+ 0.5 (/ 0.125 x))))))) (fma (- (cbrt (+ 0.5 (/ 0.125 x)))) (* (cbrt (+ 0.5 (/ 0.125 x))) (cbrt (+ 0.5 (/ 0.125 x)))) (* (cbrt (+ 0.5 (/ 0.125 x))) (* (cbrt (+ 0.5 (/ 0.125 x))) (cbrt (+ 0.5 (/ 0.125 x)))))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt (+ 0.5 (/ 0.125 x))) (sqrt (+ 0.5 (/ 0.125 x)))))) (fma (- (sqrt (+ 0.5 (/ 0.125 x)))) (sqrt (+ 0.5 (/ 0.125 x))) (* (sqrt (+ 0.5 (/ 0.125 x))) (sqrt (+ 0.5 (/ 0.125 x))))) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (+ 0.5 (/ 0.125 x)) 1))) (fma (- (+ 0.5 (/ 0.125 x))) 1 (* (+ 0.5 (/ 0.125 x)) 1)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (+ 0.5 (/ 0.125 x)) 1))) (fma (- (+ 0.5 (/ 0.125 x))) 1 (* (+ 0.5 (/ 0.125 x)) 1)) (fma (sqrt x) (sqrt x) (- (* (cbrt (+ 0.5 (/ 0.125 x))) (* (cbrt (+ 0.5 (/ 0.125 x))) (cbrt (+ 0.5 (/ 0.125 x))))))) (fma (- (cbrt (+ 0.5 (/ 0.125 x)))) (* (cbrt (+ 0.5 (/ 0.125 x))) (cbrt (+ 0.5 (/ 0.125 x)))) (* (cbrt (+ 0.5 (/ 0.125 x))) (* (cbrt (+ 0.5 (/ 0.125 x))) (cbrt (+ 0.5 (/ 0.125 x)))))) (fma (sqrt x) (sqrt x) (- (* (sqrt (+ 0.5 (/ 0.125 x))) (sqrt (+ 0.5 (/ 0.125 x)))))) (fma (- (sqrt (+ 0.5 (/ 0.125 x)))) (sqrt (+ 0.5 (/ 0.125 x))) (* (sqrt (+ 0.5 (/ 0.125 x))) (sqrt (+ 0.5 (/ 0.125 x))))) (fma (sqrt x) (sqrt x) (- (* (+ 0.5 (/ 0.125 x)) 1))) (fma (- (+ 0.5 (/ 0.125 x))) 1 (* (+ 0.5 (/ 0.125 x)) 1)) (fma (sqrt x) (sqrt x) (- (* (+ 0.5 (/ 0.125 x)) 1))) (fma (- (+ 0.5 (/ 0.125 x))) 1 (* (+ 0.5 (/ 0.125 x)) 1)) (fma 1 x (- (* (cbrt (+ 0.5 (/ 0.125 x))) (* (cbrt (+ 0.5 (/ 0.125 x))) (cbrt (+ 0.5 (/ 0.125 x))))))) (fma (- (cbrt (+ 0.5 (/ 0.125 x)))) (* (cbrt (+ 0.5 (/ 0.125 x))) (cbrt (+ 0.5 (/ 0.125 x)))) (* (cbrt (+ 0.5 (/ 0.125 x))) (* (cbrt (+ 0.5 (/ 0.125 x))) (cbrt (+ 0.5 (/ 0.125 x)))))) (fma 1 x (- (* (sqrt (+ 0.5 (/ 0.125 x))) (sqrt (+ 0.5 (/ 0.125 x)))))) (fma (- (sqrt (+ 0.5 (/ 0.125 x)))) (sqrt (+ 0.5 (/ 0.125 x))) (* (sqrt (+ 0.5 (/ 0.125 x))) (sqrt (+ 0.5 (/ 0.125 x))))) (fma 1 x (- (* (+ 0.5 (/ 0.125 x)) 1))) (fma (- (+ 0.5 (/ 0.125 x))) 1 (* (+ 0.5 (/ 0.125 x)) 1)) (fma 1 x (- (* (+ 0.5 (/ 0.125 x)) 1))) (fma (- (+ 0.5 (/ 0.125 x))) 1 (* (+ 0.5 (/ 0.125 x)) 1)) (expm1 (- x (+ 0.5 (/ 0.125 x)))) (log1p (- x (+ 0.5 (/ 0.125 x)))) (- (+ 0.5 (/ 0.125 x))) (- (+ 0.5 (/ 0.125 x))) (- (+ 0.5 (/ 0.125 x))) (/ (exp x) (* (exp 0.5) (exp (/ 0.125 x)))) (/ (exp x) (exp (+ 0.5 (/ 0.125 x)))) (log (- x (+ 0.5 (/ 0.125 x)))) (exp (- x (+ 0.5 (/ 0.125 x)))) (* (cbrt (- x (+ 0.5 (/ 0.125 x)))) (cbrt (- x (+ 0.5 (/ 0.125 x))))) (cbrt (- x (+ 0.5 (/ 0.125 x)))) (* (* (- x (+ 0.5 (/ 0.125 x))) (- x (+ 0.5 (/ 0.125 x)))) (- x (+ 0.5 (/ 0.125 x)))) (sqrt (- x (+ 0.5 (/ 0.125 x)))) (sqrt (- x (+ 0.5 (/ 0.125 x)))) (- (pow x 3) (pow (+ 0.5 (/ 0.125 x)) 3)) (+ (* x x) (+ (* (+ 0.5 (/ 0.125 x)) (+ 0.5 (/ 0.125 x))) (* x (+ 0.5 (/ 0.125 x))))) (- (+ 0.5 (/ 0.125 x))) (- (* x x) (* (+ 0.5 (/ 0.125 x)) (+ 0.5 (/ 0.125 x)))) (+ x (+ 0.5 (/ 0.125 x))) (+ (sqrt x) (sqrt (+ 0.5 (/ 0.125 x)))) (- (sqrt x) (sqrt (+ 0.5 (/ 0.125 x)))) (- x (+ 0.5 (/ 0.125 x))) (- x (+ 0.5 (/ 0.125 x))) (- x 0.5) (- (+ 0.5 (/ 0.125 x))) (- x (+ (* 0.125 (/ 1 x)) 0.5)) (- x (+ (* 0.125 (/ 1 x)) 0.5)) (- x (+ (* 0.125 (/ 1 x)) 0.5)) 4.331 * * [simplify]: iteration 0: 68 enodes 4.358 * * [simplify]: iteration 1: 167 enodes 4.433 * * [simplify]: iteration 2: 393 enodes 4.790 * * [simplify]: iteration 3: 1420 enodes 6.182 * * [simplify]: iteration complete: 5001 enodes 6.182 * * [simplify]: Extracting #0: cost 18 inf + 0 6.184 * * [simplify]: Extracting #1: cost 297 inf + 1 6.192 * * [simplify]: Extracting #2: cost 1066 inf + 941 6.213 * * [simplify]: Extracting #3: cost 1028 inf + 45651 6.282 * * [simplify]: Extracting #4: cost 333 inf + 222534 6.358 * * [simplify]: Extracting #5: cost 20 inf + 313958 6.469 * * [simplify]: Extracting #6: cost 0 inf + 320243 6.557 * [simplify]: Simplified to: (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (- (- x 0.5) (/ 0.125 x)) 0 (expm1 (- (- x 0.5) (/ 0.125 x))) (log1p (- (- x 0.5) (/ 0.125 x))) (- (- 0.5) (/ 0.125 x)) (- (- 0.5) (/ 0.125 x)) (- (- 0.5) (/ 0.125 x)) (exp (- (- x 0.5) (/ 0.125 x))) (exp (- (- x 0.5) (/ 0.125 x))) (log (- (- x 0.5) (/ 0.125 x))) (exp (- (- x 0.5) (/ 0.125 x))) (* (cbrt (- (- x 0.5) (/ 0.125 x))) (cbrt (- (- x 0.5) (/ 0.125 x)))) (cbrt (- (- x 0.5) (/ 0.125 x))) (* (* (- (- x 0.5) (/ 0.125 x)) (- (- x 0.5) (/ 0.125 x))) (- (- x 0.5) (/ 0.125 x))) (sqrt (- (- x 0.5) (/ 0.125 x))) (sqrt (- (- x 0.5) (/ 0.125 x))) (- (* x (* x x)) (* (* (+ 0.5 (/ 0.125 x)) (+ 0.5 (/ 0.125 x))) (+ 0.5 (/ 0.125 x)))) (fma x (+ 0.5 (/ 0.125 x)) (fma x x (* (+ 0.5 (/ 0.125 x)) (+ 0.5 (/ 0.125 x))))) (- (- 0.5) (/ 0.125 x)) (- (* x x) (* (+ 0.5 (/ 0.125 x)) (+ 0.5 (/ 0.125 x)))) (+ (+ 0.5 x) (/ 0.125 x)) (+ (sqrt x) (sqrt (+ 0.5 (/ 0.125 x)))) (- (sqrt x) (sqrt (+ 0.5 (/ 0.125 x)))) (- (- x 0.5) (/ 0.125 x)) (- (- x 0.5) (/ 0.125 x)) (- x 0.5) (- (- 0.5) (/ 0.125 x)) (- (- x 0.5) (/ 0.125 x)) (- (- x 0.5) (/ 0.125 x)) (- (- x 0.5) (/ 0.125 x)) 6.561 * * * [progress]: adding candidates to table 6.676 * * [progress]: iteration 3 / 4 6.676 * * * [progress]: picking best candidate 6.679 * * * * [pick]: Picked # 6.679 * * * [progress]: localizing error 6.686 * * * [progress]: generating rewritten candidates 6.686 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.694 * * * [progress]: generating series expansions 6.694 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.694 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* x (- x 1.0))) 6.694 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in (x) around 0 6.694 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 6.694 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 6.694 * [taylor]: Taking taylor expansion of x in x 6.694 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify 1 into 1 6.694 * [taylor]: Taking taylor expansion of (- x 1.0) in x 6.694 * [taylor]: Taking taylor expansion of x in x 6.694 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify 1 into 1 6.694 * [taylor]: Taking taylor expansion of 1.0 in x 6.694 * [backup-simplify]: Simplify 1.0 into 1.0 6.695 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.696 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.696 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 6.696 * [backup-simplify]: Simplify (- 0) into 0 6.696 * [backup-simplify]: Simplify (+ 1 0) into 1 6.701 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 6.701 * [backup-simplify]: Simplify (sqrt 0) into 0 6.702 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 6.702 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1.0))) in x 6.702 * [taylor]: Taking taylor expansion of (* x (- x 1.0)) in x 6.703 * [taylor]: Taking taylor expansion of x in x 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify 1 into 1 6.703 * [taylor]: Taking taylor expansion of (- x 1.0) in x 6.703 * [taylor]: Taking taylor expansion of x in x 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify 1 into 1 6.703 * [taylor]: Taking taylor expansion of 1.0 in x 6.703 * [backup-simplify]: Simplify 1.0 into 1.0 6.703 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.703 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.704 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 6.704 * [backup-simplify]: Simplify (- 0) into 0 6.704 * [backup-simplify]: Simplify (+ 1 0) into 1 6.705 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- 1.0))) into (- 1.0) 6.706 * [backup-simplify]: Simplify (sqrt 0) into 0 6.707 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.707 * [backup-simplify]: Simplify (- 0) into 0 6.707 * [backup-simplify]: Simplify (+ 0 0) into 0 6.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- 1.0)))) into 1 6.710 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.710 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.710 * [backup-simplify]: Simplify (- 0) into 0 6.711 * [backup-simplify]: Simplify (+ 0 0) into 0 6.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- 1.0))))) into 0 6.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.714 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.714 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 6.714 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 6.714 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 6.714 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 6.714 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 6.714 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 6.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.714 * [taylor]: Taking taylor expansion of x in x 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (/ 1 1) into 1 6.715 * [taylor]: Taking taylor expansion of 1.0 in x 6.715 * [backup-simplify]: Simplify 1.0 into 1.0 6.715 * [taylor]: Taking taylor expansion of x in x 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (+ 1 0) into 1 6.715 * [backup-simplify]: Simplify (/ 1 1) into 1 6.716 * [backup-simplify]: Simplify (sqrt 1) into 1 6.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.716 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.717 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.718 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 6.719 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.719 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 6.719 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 6.719 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 6.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.719 * [taylor]: Taking taylor expansion of x in x 6.719 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 1 into 1 6.720 * [backup-simplify]: Simplify (/ 1 1) into 1 6.720 * [taylor]: Taking taylor expansion of 1.0 in x 6.720 * [backup-simplify]: Simplify 1.0 into 1.0 6.720 * [taylor]: Taking taylor expansion of x in x 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 1 into 1 6.720 * [backup-simplify]: Simplify (+ 1 0) into 1 6.720 * [backup-simplify]: Simplify (/ 1 1) into 1 6.721 * [backup-simplify]: Simplify (sqrt 1) into 1 6.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.721 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.722 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.723 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 6.724 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 6.724 * [backup-simplify]: Simplify 1 into 1 6.724 * [backup-simplify]: Simplify -0.5 into -0.5 6.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (- 0) into 0 6.725 * [backup-simplify]: Simplify (+ 0 0) into 0 6.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 6.728 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 6.728 * [backup-simplify]: Simplify -0.125 into -0.125 6.728 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 x)) 0.5)) 6.728 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1.0) x)) 6.728 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in (x) around 0 6.728 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 6.728 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 6.728 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.728 * [taylor]: Taking taylor expansion of x in x 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 1 into 1 6.728 * [backup-simplify]: Simplify (/ 1 1) into 1 6.729 * [taylor]: Taking taylor expansion of 1.0 in x 6.729 * [backup-simplify]: Simplify 1.0 into 1.0 6.729 * [taylor]: Taking taylor expansion of x in x 6.729 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify 1 into 1 6.729 * [backup-simplify]: Simplify (+ 1 0) into 1 6.729 * [backup-simplify]: Simplify (/ 1 1) into 1 6.729 * [backup-simplify]: Simplify (sqrt 1) into 1 6.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.730 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.731 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 6.732 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.732 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) x)) in x 6.732 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) x) in x 6.732 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.732 * [taylor]: Taking taylor expansion of x in x 6.732 * [backup-simplify]: Simplify 0 into 0 6.732 * [backup-simplify]: Simplify 1 into 1 6.732 * [backup-simplify]: Simplify (/ 1 1) into 1 6.732 * [taylor]: Taking taylor expansion of 1.0 in x 6.732 * [backup-simplify]: Simplify 1.0 into 1.0 6.732 * [taylor]: Taking taylor expansion of x in x 6.732 * [backup-simplify]: Simplify 0 into 0 6.732 * [backup-simplify]: Simplify 1 into 1 6.733 * [backup-simplify]: Simplify (+ 1 0) into 1 6.733 * [backup-simplify]: Simplify (/ 1 1) into 1 6.733 * [backup-simplify]: Simplify (sqrt 1) into 1 6.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.734 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.735 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 6.736 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify 0.5 into 0.5 6.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.737 * [backup-simplify]: Simplify (+ 0 0) into 0 6.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 6.739 * [backup-simplify]: Simplify -0.125 into -0.125 6.739 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 x)) 0.5) x) 6.739 * * * [progress]: simplifying candidates 6.740 * [simplify]: Simplifying: (expm1 (sqrt (* (- x 1.0) x))) (log1p (sqrt (* (- x 1.0) x))) (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (* (* (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x))) (sqrt (* (- x 1.0) x))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 0.125 (/ 1 x)) 0.5)) (- (+ (* 0.125 (/ 1 x)) 0.5) x) 6.740 * * [simplify]: iteration 0: 53 enodes 6.751 * * [simplify]: iteration 1: 122 enodes 6.782 * * [simplify]: iteration 2: 282 enodes 6.883 * * [simplify]: iteration 3: 818 enodes 7.546 * * [simplify]: iteration 4: 2740 enodes 11.396 * * [simplify]: iteration complete: 5000 enodes 11.397 * * [simplify]: Extracting #0: cost 18 inf + 0 11.397 * * [simplify]: Extracting #1: cost 135 inf + 1 11.402 * * [simplify]: Extracting #2: cost 369 inf + 1504 11.415 * * [simplify]: Extracting #3: cost 354 inf + 19483 11.438 * * [simplify]: Extracting #4: cost 124 inf + 68487 11.469 * * [simplify]: Extracting #5: cost 23 inf + 102151 11.500 * * [simplify]: Extracting #6: cost 24 inf + 105297 11.535 * * [simplify]: Extracting #7: cost 6 inf + 107319 11.559 * * [simplify]: Extracting #8: cost 0 inf + 108837 11.590 * [simplify]: Simplified to: (expm1 (sqrt (* (- x 1.0) x))) (log1p (sqrt (* (- x 1.0) x))) (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (* (* (- x 1.0) x) (sqrt (* (- x 1.0) x))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (* x (* x x)) (* 1.0 (* 1.0 1.0))) x)) (sqrt (fma 1.0 (+ x 1.0) (* x x))) (sqrt (* (* (- x 1.0) x) (+ 1.0 x))) (sqrt (+ 1.0 x)) 1/2 1/2 (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (* +nan.0 (fma x (fma x x (- x)) (- x))) (- (- x (/ 0.125 x)) 0.5) (- (/ 0.125 x) (- x 0.5)) 11.591 * * * [progress]: adding candidates to table 11.651 * [progress]: [Phase 3 of 3] Extracting. 11.651 * * [regime]: Finding splitpoints for: (# # #) 11.652 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 11.652 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 11.724 * * * * [regimes]: Trying to branch on x from (# # #) 11.772 * * * [regime]: Found split indices: #