1545817645.418 * [misc]progress: [Phase 1 of 3] Setting up. 1545817645.420 * * * [misc]progress: [1/2] Preparing points 1545817645.420 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545817645.561 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.562 * * * * [misc]points: Sampling 194 additional inputs, on iter 1 have 62 / 256 1545817645.587 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.587 * * * * [misc]points: Sampling 151 additional inputs, on iter 2 have 105 / 256 1545817645.608 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.609 * * * * [misc]points: Sampling 110 additional inputs, on iter 3 have 146 / 256 1545817645.624 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.624 * * * * [misc]points: Sampling 80 additional inputs, on iter 4 have 176 / 256 1545817645.635 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.635 * * * * [misc]points: Sampling 56 additional inputs, on iter 5 have 200 / 256 1545817645.645 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.645 * * * * [misc]points: Sampling 39 additional inputs, on iter 6 have 217 / 256 1545817645.651 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.651 * * * * [misc]points: Sampling 31 additional inputs, on iter 7 have 225 / 256 1545817645.657 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.657 * * * * [misc]points: Sampling 22 additional inputs, on iter 8 have 234 / 256 1545817645.661 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.661 * * * * [misc]points: Sampling 14 additional inputs, on iter 9 have 242 / 256 1545817645.664 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.664 * * * * [misc]points: Sampling 10 additional inputs, on iter 10 have 246 / 256 1545817645.667 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.667 * * * * [misc]points: Sampling 6 additional inputs, on iter 11 have 250 / 256 1545817645.713 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.713 * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 252 / 256 1545817645.715 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.715 * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 253 / 256 1545817645.717 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.717 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 253 / 256 1545817645.719 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.719 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 254 / 256 1545817645.721 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.721 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 254 / 256 1545817645.725 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.725 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 255 / 256 1545817645.728 * * * * [misc]points: Filtering points with unrepresentable outputs 1545817645.728 * * * * [exit]points: Sampled 257 points with exact outputs 1545817645.728 * * * [misc]progress: [2/2] Setting up program. 1545817645.735 * [misc]progress: [Phase 2 of 3] Improving. 1545817645.737 * [enter]simplify: Simplifying (* (sqrt (- x 1)) (sqrt x)) 1545817645.738 * * [misc]simplify: iters left: 5 (6 enodes) 1545817645.747 * * [misc]simplify: iters left: 4 (12 enodes) 1545817645.750 * * [misc]simplify: iters left: 3 (13 enodes) 1545817645.754 * [exit]simplify: Simplified to (* (sqrt (+ x -1)) (sqrt x)) 1545817645.770 * * [misc]progress: iteration 1 / 4 1545817645.770 * * * [misc]progress: picking best candidate 1545817645.775 * * * * [misc]pick: Picked # 1545817645.775 * * * [misc]progress: localizing error 1545817645.787 * * * [misc]progress: generating rewritten candidates 1545817645.787 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1545817645.794 * * * [misc]progress: generating series expansions 1545817645.795 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1545817645.801 * [misc]backup-simplify: Simplify (* (sqrt (+ x -1)) (sqrt x)) into (sqrt (* x (- x 1))) 1545817645.801 * [misc]approximate: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 1545817645.802 * [misc]taylor: Taking taylor expansion of (sqrt (* x (- x 1))) in x 1545817645.802 * [misc]taylor: Taking taylor expansion of (* x (- x 1)) in x 1545817645.802 * [misc]taylor: Taking taylor expansion of x in x 1545817645.802 * [misc]backup-simplify: Simplify 0 into 0 1545817645.802 * [misc]backup-simplify: Simplify 1 into 1 1545817645.802 * [misc]taylor: Taking taylor expansion of (- x 1) in x 1545817645.802 * [misc]taylor: Taking taylor expansion of x in x 1545817645.802 * [misc]backup-simplify: Simplify 0 into 0 1545817645.802 * [misc]backup-simplify: Simplify 1 into 1 1545817645.802 * [misc]taylor: Taking taylor expansion of 1 in x 1545817645.802 * [misc]backup-simplify: Simplify 1 into 1 1545817645.803 * [misc]backup-simplify: Simplify (- 1) into -1 1545817645.804 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545817645.804 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545817645.804 * [misc]backup-simplify: Simplify (- 0) into 0 1545817645.805 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817645.805 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545817645.805 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817645.806 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817645.806 * [misc]taylor: Taking taylor expansion of (sqrt (* x (- x 1))) in x 1545817645.806 * [misc]taylor: Taking taylor expansion of (* x (- x 1)) in x 1545817645.806 * [misc]taylor: Taking taylor expansion of x in x 1545817645.806 * [misc]backup-simplify: Simplify 0 into 0 1545817645.806 * [misc]backup-simplify: Simplify 1 into 1 1545817645.806 * [misc]taylor: Taking taylor expansion of (- x 1) in x 1545817645.806 * [misc]taylor: Taking taylor expansion of x in x 1545817645.806 * [misc]backup-simplify: Simplify 0 into 0 1545817645.806 * [misc]backup-simplify: Simplify 1 into 1 1545817645.806 * [misc]taylor: Taking taylor expansion of 1 in x 1545817645.806 * [misc]backup-simplify: Simplify 1 into 1 1545817645.806 * [misc]backup-simplify: Simplify (- 1) into -1 1545817645.806 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545817645.807 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545817645.807 * [misc]backup-simplify: Simplify (- 0) into 0 1545817645.807 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817645.807 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545817645.807 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817645.808 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817645.808 * [misc]backup-simplify: Simplify 0 into 0 1545817645.808 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545817645.809 * [misc]backup-simplify: Simplify (- 0) into 0 1545817645.809 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545817645.810 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545817645.812 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545817645.812 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545817645.812 * [misc]backup-simplify: Simplify (- 0) into 0 1545817645.812 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545817645.813 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545817645.814 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545817645.814 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545817645.816 * [misc]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))))))) 1545817645.816 * [misc]backup-simplify: Simplify (* (sqrt (+ (/ 1 x) -1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 1545817645.816 * [misc]approximate: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 1545817645.816 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 1545817645.816 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 1545817645.816 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x 1545817645.816 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1545817645.816 * [misc]taylor: Taking taylor expansion of x in x 1545817645.816 * [misc]backup-simplify: Simplify 0 into 0 1545817645.816 * [misc]backup-simplify: Simplify 1 into 1 1545817645.817 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817645.817 * [misc]taylor: Taking taylor expansion of 1 in x 1545817645.817 * [misc]backup-simplify: Simplify 1 into 1 1545817645.817 * [misc]taylor: Taking taylor expansion of x in x 1545817645.817 * [misc]backup-simplify: Simplify 0 into 0 1545817645.817 * [misc]backup-simplify: Simplify 1 into 1 1545817645.817 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817645.817 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817645.818 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545817645.818 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545817645.818 * [misc]backup-simplify: Simplify (- 1) into -1 1545817645.819 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545817645.819 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 1545817645.819 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545817645.819 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 1545817645.819 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 1545817645.819 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x 1545817645.819 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1545817645.819 * [misc]taylor: Taking taylor expansion of x in x 1545817645.819 * [misc]backup-simplify: Simplify 0 into 0 1545817645.819 * [misc]backup-simplify: Simplify 1 into 1 1545817645.819 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817645.819 * [misc]taylor: Taking taylor expansion of 1 in x 1545817645.819 * [misc]backup-simplify: Simplify 1 into 1 1545817645.820 * [misc]taylor: Taking taylor expansion of x in x 1545817645.820 * [misc]backup-simplify: Simplify 0 into 0 1545817645.820 * [misc]backup-simplify: Simplify 1 into 1 1545817645.820 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817645.820 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817645.820 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545817645.820 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545817645.820 * [misc]backup-simplify: Simplify (- 1) into -1 1545817645.821 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545817645.821 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 1545817645.821 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545817645.821 * [misc]backup-simplify: Simplify 1 into 1 1545817645.821 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545817645.822 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545817645.822 * [misc]backup-simplify: Simplify (- 0) into 0 1545817645.822 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545817645.822 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 1545817645.823 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545817645.824 * [misc]backup-simplify: Simplify -1/8 into -1/8 1545817645.824 * [misc]backup-simplify: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1545817645.838 * [misc]backup-simplify: Simplify (* (sqrt (+ (/ 1 (- x)) -1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 1545817645.838 * [misc]approximate: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 1545817645.838 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 1545817645.838 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 1545817645.838 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 1545817645.838 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x 1545817645.838 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1545817645.838 * [misc]taylor: Taking taylor expansion of x in x 1545817645.838 * [misc]backup-simplify: Simplify 0 into 0 1545817645.838 * [misc]backup-simplify: Simplify 1 into 1 1545817645.838 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817645.838 * [misc]taylor: Taking taylor expansion of 1 in x 1545817645.838 * [misc]backup-simplify: Simplify 1 into 1 1545817645.839 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817645.839 * [misc]backup-simplify: Simplify (- 1) into -1 1545817645.839 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817645.839 * [misc]backup-simplify: Simplify (- 1) into -1 1545817645.840 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817645.840 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 x)) in x 1545817645.840 * [misc]taylor: Taking taylor expansion of (/ -1 x) in x 1545817645.840 * [misc]taylor: Taking taylor expansion of -1 in x 1545817645.840 * [misc]backup-simplify: Simplify -1 into -1 1545817645.840 * [misc]taylor: Taking taylor expansion of x in x 1545817645.840 * [misc]backup-simplify: Simplify 0 into 0 1545817645.840 * [misc]backup-simplify: Simplify 1 into 1 1545817645.840 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545817645.840 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817645.841 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817645.841 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 1545817645.841 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 1545817645.841 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 1545817645.841 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x 1545817645.841 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1545817645.841 * [misc]taylor: Taking taylor expansion of x in x 1545817645.841 * [misc]backup-simplify: Simplify 0 into 0 1545817645.841 * [misc]backup-simplify: Simplify 1 into 1 1545817645.841 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817645.841 * [misc]taylor: Taking taylor expansion of 1 in x 1545817645.841 * [misc]backup-simplify: Simplify 1 into 1 1545817645.841 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817645.841 * [misc]backup-simplify: Simplify (- 1) into -1 1545817645.842 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817645.842 * [misc]backup-simplify: Simplify (- 1) into -1 1545817645.842 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817645.842 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 x)) in x 1545817645.842 * [misc]taylor: Taking taylor expansion of (/ -1 x) in x 1545817645.842 * [misc]taylor: Taking taylor expansion of -1 in x 1545817645.842 * [misc]backup-simplify: Simplify -1 into -1 1545817645.842 * [misc]taylor: Taking taylor expansion of x in x 1545817645.842 * [misc]backup-simplify: Simplify 0 into 0 1545817645.842 * [misc]backup-simplify: Simplify 1 into 1 1545817645.843 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545817645.843 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817645.843 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817645.843 * [misc]backup-simplify: Simplify (* 0 0) into 0 1545817645.843 * [misc]backup-simplify: Simplify 0 into 0 1545817645.844 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1545817645.844 * [misc]backup-simplify: Simplify 0 into 0 1545817645.844 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545817645.845 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545817645.845 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545817645.846 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545817645.846 * [misc]backup-simplify: Simplify (- 1) into -1 1545817645.847 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545817645.848 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 1545817645.848 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1545817645.848 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545817645.849 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545817645.850 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545817645.850 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545817645.850 * [misc]backup-simplify: Simplify (- 0) into 0 1545817645.851 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545817645.853 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 1545817645.853 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1545817645.854 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545817645.855 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545817645.856 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545817645.856 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545817645.856 * [misc]backup-simplify: Simplify (- 0) into 0 1545817645.858 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545817645.859 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 1545817645.859 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1545817645.860 * [misc]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))))) 1545817645.860 * * * [misc]progress: simplifying candidates 1545817645.861 * * * * [misc]progress: [ 1 / 27 ] simplifiying candidate # 1545817645.861 * [enter]simplify: Simplifying (* (+ x -1) x) 1545817645.861 * * [misc]simplify: iters left: 4 (4 enodes) 1545817645.863 * * [misc]simplify: iters left: 3 (6 enodes) 1545817645.865 * * [misc]simplify: iters left: 2 (13 enodes) 1545817645.869 * * [misc]simplify: iters left: 1 (14 enodes) 1545817645.872 * [exit]simplify: Simplified to (- (* x x) x) 1545817645.872 * [misc]simplify: Simplified (2 1) to (λ (x) (pow (- (* x x) x) 1/2)) 1545817645.873 * * * * [misc]progress: [ 2 / 27 ] simplifiying candidate # 1545817645.873 * [enter]simplify: Simplifying (* (sqrt (+ x -1)) (sqrt x)) 1545817645.873 * * [misc]simplify: iters left: 5 (6 enodes) 1545817645.875 * * [misc]simplify: iters left: 4 (8 enodes) 1545817645.877 * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) (sqrt x)) 1545817645.877 * [misc]simplify: Simplified (2 1) to (λ (x) (pow (* (sqrt (+ -1 x)) (sqrt x)) 1)) 1545817645.877 * * * * [misc]progress: [ 3 / 27 ] simplifiying candidate # 1545817645.877 * * * * [misc]progress: [ 4 / 27 ] simplifiying candidate # 1545817645.878 * [enter]simplify: Simplifying (+ (log (sqrt (+ x -1))) (log (sqrt x))) 1545817645.878 * * [misc]simplify: iters left: 6 (8 enodes) 1545817645.880 * * [misc]simplify: iters left: 5 (10 enodes) 1545817645.883 * [exit]simplify: Simplified to (+ (log (sqrt x)) (log (sqrt (+ -1 x)))) 1545817645.883 * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (sqrt x)) (log (sqrt (+ -1 x)))))) 1545817645.883 * * * * [misc]progress: [ 5 / 27 ] simplifiying candidate # 1545817645.883 * * * * [misc]progress: [ 6 / 27 ] simplifiying candidate # 1545817645.883 * * * * [misc]progress: [ 7 / 27 ] simplifiying candidate # 1545817645.883 * [enter]simplify: Simplifying (* (* (* (sqrt (+ x -1)) (sqrt (+ x -1))) (sqrt (+ x -1))) (* (* (sqrt x) (sqrt x)) (sqrt x))) 1545817645.883 * * [misc]simplify: iters left: 6 (10 enodes) 1545817645.887 * * [misc]simplify: iters left: 5 (18 enodes) 1545817645.893 * * [misc]simplify: iters left: 4 (49 enodes) 1545817645.916 * * [misc]simplify: iters left: 3 (138 enodes) 1545817645.971 * * [misc]simplify: iters left: 2 (225 enodes) 1545817646.014 * * [misc]simplify: iters left: 1 (259 enodes) 1545817646.065 * [exit]simplify: Simplified to (* (+ -1 x) (* (* x (sqrt x)) (sqrt (+ -1 x)))) 1545817646.065 * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (+ -1 x) (* (* x (sqrt x)) (sqrt (+ -1 x)))))) 1545817646.065 * * * * [misc]progress: [ 8 / 27 ] simplifiying candidate # 1545817646.065 * * * * [misc]progress: [ 9 / 27 ] simplifiying candidate # 1545817646.065 * * * * [misc]progress: [ 10 / 27 ] simplifiying candidate # 1545817646.065 * [enter]simplify: Simplifying (* (+ x -1) x) 1545817646.065 * * [misc]simplify: iters left: 4 (4 enodes) 1545817646.067 * * [misc]simplify: iters left: 3 (6 enodes) 1545817646.069 * * [misc]simplify: iters left: 2 (13 enodes) 1545817646.072 * * [misc]simplify: iters left: 1 (14 enodes) 1545817646.075 * [exit]simplify: Simplified to (- (* x x) x) 1545817646.075 * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (- (* x x) x))) 1545817646.075 * * * * [misc]progress: [ 11 / 27 ] simplifiying candidate # 1545817646.075 * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # 1545817646.075 * * * * [misc]progress: [ 13 / 27 ] simplifiying candidate # 1545817646.075 * [enter]simplify: Simplifying (cbrt (sqrt x)) 1545817646.075 * * [misc]simplify: iters left: 2 (3 enodes) 1545817646.076 * [exit]simplify: Simplified to (cbrt (sqrt x)) 1545817646.076 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ x -1)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x)))) 1545817646.076 * * * * [misc]progress: [ 14 / 27 ] simplifiying candidate # 1545817646.076 * [enter]simplify: Simplifying (sqrt (sqrt x)) 1545817646.076 * * [misc]simplify: iters left: 2 (3 enodes) 1545817646.076 * [exit]simplify: Simplified to (sqrt (sqrt x)) 1545817646.077 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ x -1)) (sqrt (sqrt x))) (sqrt (sqrt x)))) 1545817646.077 * * * * [misc]progress: [ 15 / 27 ] simplifiying candidate # 1545817646.077 * [enter]simplify: Simplifying (sqrt x) 1545817646.077 * * [misc]simplify: iters left: 1 (2 enodes) 1545817646.077 * [exit]simplify: Simplified to (sqrt x) 1545817646.077 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ x -1)) 1) (sqrt x))) 1545817646.077 * * * * [misc]progress: [ 16 / 27 ] simplifiying candidate # 1545817646.077 * [enter]simplify: Simplifying (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1)))) 1545817646.077 * * [misc]simplify: iters left: 6 (6 enodes) 1545817646.078 * * [misc]simplify: iters left: 5 (7 enodes) 1545817646.079 * [exit]simplify: Simplified to (* (cbrt (sqrt (+ -1 x))) (cbrt (sqrt (+ -1 x)))) 1545817646.079 * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ -1 x))) (cbrt (sqrt (+ -1 x)))) (* (cbrt (sqrt (+ x -1))) (sqrt x)))) 1545817646.079 * * * * [misc]progress: [ 17 / 27 ] simplifiying candidate # 1545817646.079 * [enter]simplify: Simplifying (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1)))) 1545817646.079 * * [misc]simplify: iters left: 6 (6 enodes) 1545817646.080 * * [misc]simplify: iters left: 5 (8 enodes) 1545817646.082 * [exit]simplify: Simplified to (fabs (cbrt (+ -1 x))) 1545817646.082 * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ -1 x))) (* (sqrt (cbrt (+ x -1))) (sqrt x)))) 1545817646.082 * * * * [misc]progress: [ 18 / 27 ] simplifiying candidate # 1545817646.082 * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) 1545817646.082 * * [misc]simplify: iters left: 4 (5 enodes) 1545817646.083 * * [misc]simplify: iters left: 3 (6 enodes) 1545817646.084 * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) 1545817646.084 * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ -1 x))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) 1545817646.084 * * * * [misc]progress: [ 19 / 27 ] simplifiying candidate # 1545817646.084 * [enter]simplify: Simplifying (sqrt 1) 1545817646.084 * * [misc]simplify: iters left: 1 (2 enodes) 1545817646.085 * [exit]simplify: Simplified to 1 1545817646.085 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (* (sqrt (+ x -1)) (sqrt x)))) 1545817646.085 * * * * [misc]progress: [ 20 / 27 ] simplifiying candidate # 1545817646.085 * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) 1545817646.085 * * [misc]simplify: iters left: 4 (5 enodes) 1545817646.086 * * [misc]simplify: iters left: 3 (6 enodes) 1545817646.087 * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) 1545817646.087 * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ -1 x))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) 1545817646.087 * * * * [misc]progress: [ 21 / 27 ] simplifiying candidate # 1545817646.087 * * * * [misc]progress: [ 22 / 27 ] simplifiying candidate # 1545817646.087 * [enter]simplify: Simplifying (* (sqrt (+ (pow x 3) (pow -1 3))) (sqrt x)) 1545817646.087 * * [misc]simplify: iters left: 6 (9 enodes) 1545817646.090 * * [misc]simplify: iters left: 5 (18 enodes) 1545817646.092 * * [misc]simplify: iters left: 4 (20 enodes) 1545817646.094 * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ (pow x 3) -1))) 1545817646.094 * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt x) (sqrt (+ (pow x 3) -1))) (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) 1545817646.094 * * * * [misc]progress: [ 23 / 27 ] simplifiying candidate # 1545817646.095 * [enter]simplify: Simplifying (* (sqrt (- (* x x) (* -1 -1))) (sqrt x)) 1545817646.095 * * [misc]simplify: iters left: 6 (8 enodes) 1545817646.097 * * [misc]simplify: iters left: 5 (16 enodes) 1545817646.100 * * [misc]simplify: iters left: 4 (24 enodes) 1545817646.103 * * [misc]simplify: iters left: 3 (39 enodes) 1545817646.116 * * [misc]simplify: iters left: 2 (63 enodes) 1545817646.140 * * [misc]simplify: iters left: 1 (109 enodes) 1545817646.171 * [exit]simplify: Simplified to (* (sqrt (- (* x x) 1)) (sqrt x)) 1545817646.171 * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (- (* x x) 1)) (sqrt x)) (sqrt (- x -1)))) 1545817646.171 * * * * [misc]progress: [ 24 / 27 ] simplifiying candidate # 1545817646.171 * * * * [misc]progress: [ 25 / 27 ] simplifiying candidate # 1545817646.171 * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 1545817646.171 * [misc]simplify: Simplified (2) to (λ (x) +nan.0) 1545817646.171 * * * * [misc]progress: [ 26 / 27 ] simplifiying candidate # 1545817646.171 * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1545817646.171 * * [misc]simplify: iters left: 6 (8 enodes) 1545817646.173 * * [misc]simplify: iters left: 5 (18 enodes) 1545817646.177 * * [misc]simplify: iters left: 4 (29 enodes) 1545817646.181 * * [misc]simplify: iters left: 3 (47 enodes) 1545817646.187 * * [misc]simplify: iters left: 2 (59 enodes) 1545817646.195 * * [misc]simplify: iters left: 1 (71 enodes) 1545817646.208 * [exit]simplify: Simplified to (+ (/ -1/8 x) (+ x -1/2)) 1545817646.208 * [misc]simplify: Simplified (2) to (λ (x) (+ (/ -1/8 x) (+ x -1/2))) 1545817646.209 * * * * [misc]progress: [ 27 / 27 ] simplifiying candidate # 1545817646.209 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1545817646.209 * [misc]simplify: Simplified (2) to (λ (x) +nan.0) 1545817646.209 * * * [misc]progress: adding candidates to table 1545817646.502 * * [misc]progress: iteration 2 / 4 1545817646.502 * * * [misc]progress: picking best candidate 1545817646.511 * * * * [misc]pick: Picked # 1545817646.511 * * * [misc]progress: localizing error 1545817646.530 * * * [misc]progress: generating rewritten candidates 1545817646.530 * * * [misc]progress: generating series expansions 1545817646.530 * * * [misc]progress: simplifying candidates 1545817646.530 * * * [misc]progress: adding candidates to table 1545817646.531 * * [misc]progress: iteration 3 / 4 1545817646.531 * * * [misc]progress: picking best candidate 1545817646.536 * * * * [misc]pick: Picked # 1545817646.536 * * * [misc]progress: localizing error 1545817646.541 * * * [misc]progress: generating rewritten candidates 1545817646.541 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1545817646.551 * * * [misc]progress: generating series expansions 1545817646.551 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1545817646.551 * [misc]backup-simplify: Simplify (* (sqrt x) (sqrt (+ x -1))) into (sqrt (* x (- x 1))) 1545817646.551 * [misc]approximate: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 1545817646.551 * [misc]taylor: Taking taylor expansion of (sqrt (* x (- x 1))) in x 1545817646.551 * [misc]taylor: Taking taylor expansion of (* x (- x 1)) in x 1545817646.551 * [misc]taylor: Taking taylor expansion of x in x 1545817646.551 * [misc]backup-simplify: Simplify 0 into 0 1545817646.551 * [misc]backup-simplify: Simplify 1 into 1 1545817646.551 * [misc]taylor: Taking taylor expansion of (- x 1) in x 1545817646.551 * [misc]taylor: Taking taylor expansion of x in x 1545817646.551 * [misc]backup-simplify: Simplify 0 into 0 1545817646.551 * [misc]backup-simplify: Simplify 1 into 1 1545817646.552 * [misc]taylor: Taking taylor expansion of 1 in x 1545817646.552 * [misc]backup-simplify: Simplify 1 into 1 1545817646.552 * [misc]backup-simplify: Simplify (- 1) into -1 1545817646.552 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545817646.552 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545817646.552 * [misc]backup-simplify: Simplify (- 0) into 0 1545817646.553 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817646.553 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545817646.553 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817646.554 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817646.554 * [misc]taylor: Taking taylor expansion of (sqrt (* x (- x 1))) in x 1545817646.554 * [misc]taylor: Taking taylor expansion of (* x (- x 1)) in x 1545817646.554 * [misc]taylor: Taking taylor expansion of x in x 1545817646.554 * [misc]backup-simplify: Simplify 0 into 0 1545817646.554 * [misc]backup-simplify: Simplify 1 into 1 1545817646.554 * [misc]taylor: Taking taylor expansion of (- x 1) in x 1545817646.554 * [misc]taylor: Taking taylor expansion of x in x 1545817646.554 * [misc]backup-simplify: Simplify 0 into 0 1545817646.554 * [misc]backup-simplify: Simplify 1 into 1 1545817646.554 * [misc]taylor: Taking taylor expansion of 1 in x 1545817646.554 * [misc]backup-simplify: Simplify 1 into 1 1545817646.554 * [misc]backup-simplify: Simplify (- 1) into -1 1545817646.554 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545817646.554 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1545817646.555 * [misc]backup-simplify: Simplify (- 0) into 0 1545817646.555 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817646.555 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1545817646.555 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817646.555 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817646.556 * [misc]backup-simplify: Simplify 0 into 0 1545817646.556 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545817646.556 * [misc]backup-simplify: Simplify (- 0) into 0 1545817646.556 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545817646.556 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1545817646.557 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545817646.557 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545817646.557 * [misc]backup-simplify: Simplify (- 0) into 0 1545817646.557 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545817646.557 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1545817646.558 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545817646.558 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545817646.558 * [misc]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))))))) 1545817646.558 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) -1))) into (sqrt (/ (- (/ 1 x) 1) x)) 1545817646.558 * [misc]approximate: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 1545817646.558 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 1545817646.558 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 1545817646.558 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x 1545817646.558 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1545817646.558 * [misc]taylor: Taking taylor expansion of x in x 1545817646.558 * [misc]backup-simplify: Simplify 0 into 0 1545817646.558 * [misc]backup-simplify: Simplify 1 into 1 1545817646.558 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817646.558 * [misc]taylor: Taking taylor expansion of 1 in x 1545817646.558 * [misc]backup-simplify: Simplify 1 into 1 1545817646.558 * [misc]taylor: Taking taylor expansion of x in x 1545817646.558 * [misc]backup-simplify: Simplify 0 into 0 1545817646.558 * [misc]backup-simplify: Simplify 1 into 1 1545817646.559 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817646.559 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817646.559 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545817646.559 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545817646.559 * [misc]backup-simplify: Simplify (- 1) into -1 1545817646.559 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545817646.559 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 1545817646.559 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545817646.559 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 1545817646.559 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 1545817646.559 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x 1545817646.559 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1545817646.559 * [misc]taylor: Taking taylor expansion of x in x 1545817646.559 * [misc]backup-simplify: Simplify 0 into 0 1545817646.559 * [misc]backup-simplify: Simplify 1 into 1 1545817646.560 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817646.560 * [misc]taylor: Taking taylor expansion of 1 in x 1545817646.560 * [misc]backup-simplify: Simplify 1 into 1 1545817646.560 * [misc]taylor: Taking taylor expansion of x in x 1545817646.560 * [misc]backup-simplify: Simplify 0 into 0 1545817646.560 * [misc]backup-simplify: Simplify 1 into 1 1545817646.560 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817646.560 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817646.560 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1545817646.560 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545817646.560 * [misc]backup-simplify: Simplify (- 1) into -1 1545817646.560 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545817646.560 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 1545817646.561 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1545817646.561 * [misc]backup-simplify: Simplify 1 into 1 1545817646.561 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545817646.561 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545817646.561 * [misc]backup-simplify: Simplify (- 0) into 0 1545817646.561 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545817646.561 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 1545817646.562 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1545817646.562 * [misc]backup-simplify: Simplify -1/8 into -1/8 1545817646.562 * [misc]backup-simplify: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1545817646.562 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) -1))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 1545817646.562 * [misc]approximate: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 1545817646.562 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 1545817646.562 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 1545817646.562 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 1545817646.562 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x 1545817646.562 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1545817646.562 * [misc]taylor: Taking taylor expansion of x in x 1545817646.562 * [misc]backup-simplify: Simplify 0 into 0 1545817646.562 * [misc]backup-simplify: Simplify 1 into 1 1545817646.562 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817646.563 * [misc]taylor: Taking taylor expansion of 1 in x 1545817646.563 * [misc]backup-simplify: Simplify 1 into 1 1545817646.563 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817646.563 * [misc]backup-simplify: Simplify (- 1) into -1 1545817646.563 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817646.563 * [misc]backup-simplify: Simplify (- 1) into -1 1545817646.563 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817646.563 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 x)) in x 1545817646.563 * [misc]taylor: Taking taylor expansion of (/ -1 x) in x 1545817646.563 * [misc]taylor: Taking taylor expansion of -1 in x 1545817646.563 * [misc]backup-simplify: Simplify -1 into -1 1545817646.563 * [misc]taylor: Taking taylor expansion of x in x 1545817646.563 * [misc]backup-simplify: Simplify 0 into 0 1545817646.563 * [misc]backup-simplify: Simplify 1 into 1 1545817646.563 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545817646.564 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817646.564 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817646.564 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 1545817646.564 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 1545817646.564 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 1545817646.564 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x 1545817646.564 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1545817646.564 * [misc]taylor: Taking taylor expansion of x in x 1545817646.564 * [misc]backup-simplify: Simplify 0 into 0 1545817646.564 * [misc]backup-simplify: Simplify 1 into 1 1545817646.564 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545817646.564 * [misc]taylor: Taking taylor expansion of 1 in x 1545817646.564 * [misc]backup-simplify: Simplify 1 into 1 1545817646.564 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545817646.564 * [misc]backup-simplify: Simplify (- 1) into -1 1545817646.564 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817646.564 * [misc]backup-simplify: Simplify (- 1) into -1 1545817646.565 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817646.565 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 x)) in x 1545817646.565 * [misc]taylor: Taking taylor expansion of (/ -1 x) in x 1545817646.565 * [misc]taylor: Taking taylor expansion of -1 in x 1545817646.565 * [misc]backup-simplify: Simplify -1 into -1 1545817646.565 * [misc]taylor: Taking taylor expansion of x in x 1545817646.565 * [misc]backup-simplify: Simplify 0 into 0 1545817646.565 * [misc]backup-simplify: Simplify 1 into 1 1545817646.565 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545817646.565 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545817646.565 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545817646.565 * [misc]backup-simplify: Simplify (* 0 0) into 0 1545817646.565 * [misc]backup-simplify: Simplify 0 into 0 1545817646.566 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1545817646.566 * [misc]backup-simplify: Simplify 0 into 0 1545817646.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545817646.566 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545817646.567 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545817646.567 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545817646.567 * [misc]backup-simplify: Simplify (- 1) into -1 1545817646.568 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545817646.568 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 1545817646.568 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1545817646.568 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545817646.569 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545817646.569 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545817646.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545817646.569 * [misc]backup-simplify: Simplify (- 0) into 0 1545817646.570 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545817646.571 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 1545817646.571 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1545817646.571 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545817646.572 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545817646.572 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545817646.572 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545817646.573 * [misc]backup-simplify: Simplify (- 0) into 0 1545817646.573 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545817646.574 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 1545817646.575 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1545817646.575 * [misc]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))))) 1545817646.575 * * * [misc]progress: simplifying candidates 1545817646.575 * * * * [misc]progress: [ 1 / 27 ] simplifiying candidate # 1545817646.575 * [enter]simplify: Simplifying (* x (+ x -1)) 1545817646.575 * * [misc]simplify: iters left: 4 (4 enodes) 1545817646.576 * * [misc]simplify: iters left: 3 (11 enodes) 1545817646.578 * * [misc]simplify: iters left: 2 (14 enodes) 1545817646.579 * * [misc]simplify: iters left: 1 (15 enodes) 1545817646.581 * [exit]simplify: Simplified to (- (* x x) x) 1545817646.581 * [misc]simplify: Simplified (2 1) to (λ (x) (pow (- (* x x) x) 1/2)) 1545817646.581 * * * * [misc]progress: [ 2 / 27 ] simplifiying candidate # 1545817646.581 * [enter]simplify: Simplifying (* (sqrt x) (sqrt (+ x -1))) 1545817646.581 * * [misc]simplify: iters left: 5 (6 enodes) 1545817646.582 * * [misc]simplify: iters left: 4 (8 enodes) 1545817646.583 * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x -1))) 1545817646.583 * [misc]simplify: Simplified (2 1) to (λ (x) (pow (* (sqrt x) (sqrt (+ x -1))) 1)) 1545817646.583 * * * * [misc]progress: [ 3 / 27 ] simplifiying candidate # 1545817646.583 * * * * [misc]progress: [ 4 / 27 ] simplifiying candidate # 1545817646.584 * [enter]simplify: Simplifying (+ (log (sqrt x)) (log (sqrt (+ x -1)))) 1545817646.584 * * [misc]simplify: iters left: 6 (8 enodes) 1545817646.585 * * [misc]simplify: iters left: 5 (10 enodes) 1545817646.586 * [exit]simplify: Simplified to (+ (log (sqrt x)) (log (sqrt (+ -1 x)))) 1545817646.586 * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (sqrt x)) (log (sqrt (+ -1 x)))))) 1545817646.586 * * * * [misc]progress: [ 5 / 27 ] simplifiying candidate # 1545817646.586 * * * * [misc]progress: [ 6 / 27 ] simplifiying candidate # 1545817646.586 * * * * [misc]progress: [ 7 / 27 ] simplifiying candidate # 1545817646.586 * [enter]simplify: Simplifying (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x -1)) (sqrt (+ x -1))) (sqrt (+ x -1)))) 1545817646.586 * * [misc]simplify: iters left: 6 (10 enodes) 1545817646.589 * * [misc]simplify: iters left: 5 (18 enodes) 1545817646.595 * * [misc]simplify: iters left: 4 (57 enodes) 1545817646.624 * * [misc]simplify: iters left: 3 (180 enodes) 1545817646.686 * * [misc]simplify: iters left: 2 (288 enodes) 1545817646.731 * * [misc]simplify: iters left: 1 (295 enodes) 1545817646.795 * [exit]simplify: Simplified to (* (* (* x (sqrt x)) (sqrt (+ x -1))) (+ x -1)) 1545817646.795 * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (* (* x (sqrt x)) (sqrt (+ x -1))) (+ x -1)))) 1545817646.795 * * * * [misc]progress: [ 8 / 27 ] simplifiying candidate # 1545817646.795 * * * * [misc]progress: [ 9 / 27 ] simplifiying candidate # 1545817646.795 * * * * [misc]progress: [ 10 / 27 ] simplifiying candidate # 1545817646.796 * [enter]simplify: Simplifying (* x (+ x -1)) 1545817646.796 * * [misc]simplify: iters left: 4 (4 enodes) 1545817646.797 * * [misc]simplify: iters left: 3 (11 enodes) 1545817646.801 * * [misc]simplify: iters left: 2 (14 enodes) 1545817646.803 * * [misc]simplify: iters left: 1 (15 enodes) 1545817646.807 * [exit]simplify: Simplified to (- (* x x) x) 1545817646.807 * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (- (* x x) x))) 1545817646.807 * * * * [misc]progress: [ 11 / 27 ] simplifiying candidate # 1545817646.807 * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # 1545817646.807 * * * * [misc]progress: [ 13 / 27 ] simplifiying candidate # 1545817646.807 * [enter]simplify: Simplifying (cbrt (sqrt (+ x -1))) 1545817646.807 * * [misc]simplify: iters left: 4 (5 enodes) 1545817646.809 * * [misc]simplify: iters left: 3 (6 enodes) 1545817646.810 * [exit]simplify: Simplified to (cbrt (sqrt (+ -1 x))) 1545817646.810 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) (cbrt (sqrt (+ -1 x))))) 1545817646.811 * * * * [misc]progress: [ 14 / 27 ] simplifiying candidate # 1545817646.811 * [enter]simplify: Simplifying (sqrt (cbrt (+ x -1))) 1545817646.811 * * [misc]simplify: iters left: 4 (5 enodes) 1545817646.812 * * [misc]simplify: iters left: 3 (6 enodes) 1545817646.814 * [exit]simplify: Simplified to (sqrt (cbrt (+ -1 x))) 1545817646.814 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1))))) (sqrt (cbrt (+ -1 x))))) 1545817646.814 * * * * [misc]progress: [ 15 / 27 ] simplifiying candidate # 1545817646.814 * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) 1545817646.814 * * [misc]simplify: iters left: 4 (5 enodes) 1545817646.815 * * [misc]simplify: iters left: 3 (6 enodes) 1545817646.817 * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) 1545817646.817 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ -1 x))))) 1545817646.817 * * * * [misc]progress: [ 16 / 27 ] simplifiying candidate # 1545817646.817 * [enter]simplify: Simplifying (sqrt (+ x -1)) 1545817646.817 * * [misc]simplify: iters left: 3 (4 enodes) 1545817646.818 * * [misc]simplify: iters left: 2 (5 enodes) 1545817646.819 * [exit]simplify: Simplified to (sqrt (+ -1 x)) 1545817646.820 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) (sqrt 1)) (sqrt (+ -1 x)))) 1545817646.820 * * * * [misc]progress: [ 17 / 27 ] simplifiying candidate # 1545817646.820 * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) 1545817646.820 * * [misc]simplify: iters left: 4 (5 enodes) 1545817646.821 * * [misc]simplify: iters left: 3 (6 enodes) 1545817646.822 * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) 1545817646.823 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ -1 x))))) 1545817646.823 * * * * [misc]progress: [ 18 / 27 ] simplifiying candidate # 1545817646.823 * [enter]simplify: Simplifying (sqrt (+ x -1)) 1545817646.823 * * [misc]simplify: iters left: 3 (4 enodes) 1545817646.824 * * [misc]simplify: iters left: 2 (5 enodes) 1545817646.825 * [exit]simplify: Simplified to (sqrt (+ -1 x)) 1545817646.825 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) 1) (sqrt (+ -1 x)))) 1545817646.825 * * * * [misc]progress: [ 19 / 27 ] simplifiying candidate # 1545817646.825 * [enter]simplify: Simplifying (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1545817646.825 * * [misc]simplify: iters left: 4 (4 enodes) 1545817646.826 * [exit]simplify: Simplified to (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1545817646.826 * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (+ x -1))))) 1545817646.826 * * * * [misc]progress: [ 20 / 27 ] simplifiying candidate # 1545817646.827 * [enter]simplify: Simplifying (sqrt (sqrt x)) 1545817646.827 * * [misc]simplify: iters left: 2 (3 enodes) 1545817646.827 * [exit]simplify: Simplified to (sqrt (sqrt x)) 1545817646.828 * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (+ x -1))))) 1545817646.828 * * * * [misc]progress: [ 21 / 27 ] simplifiying candidate # 1545817646.828 * * * * [misc]progress: [ 22 / 27 ] simplifiying candidate # 1545817646.828 * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))) 1545817646.828 * * [misc]simplify: iters left: 6 (8 enodes) 1545817646.832 * * [misc]simplify: iters left: 5 (18 enodes) 1545817646.837 * * [misc]simplify: iters left: 4 (34 enodes) 1545817646.846 * * [misc]simplify: iters left: 3 (43 enodes) 1545817646.857 * * [misc]simplify: iters left: 2 (67 enodes) 1545817646.895 * * [misc]simplify: iters left: 1 (104 enodes) 1545817646.934 * [exit]simplify: Simplified to (sqrt (- (* x x) (- -1 x))) 1545817646.934 * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt x) (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt (- (* x x) (- -1 x))))) 1545817646.934 * * * * [misc]progress: [ 23 / 27 ] simplifiying candidate # 1545817646.934 * [enter]simplify: Simplifying (sqrt (- x -1)) 1545817646.934 * * [misc]simplify: iters left: 3 (4 enodes) 1545817646.936 * * [misc]simplify: iters left: 2 (7 enodes) 1545817646.938 * * [misc]simplify: iters left: 1 (10 enodes) 1545817646.940 * [exit]simplify: Simplified to (sqrt (+ x 1)) 1545817646.940 * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt x) (sqrt (- (* x x) (* -1 -1)))) (sqrt (+ x 1)))) 1545817646.940 * * * * [misc]progress: [ 24 / 27 ] simplifiying candidate # 1545817646.940 * * * * [misc]progress: [ 25 / 27 ] simplifiying candidate # 1545817646.940 * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 1545817646.940 * [misc]simplify: Simplified (2) to (λ (x) +nan.0) 1545817646.940 * * * * [misc]progress: [ 26 / 27 ] simplifiying candidate # 1545817646.941 * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1545817646.941 * * [misc]simplify: iters left: 6 (8 enodes) 1545817646.944 * * [misc]simplify: iters left: 5 (18 enodes) 1545817646.951 * * [misc]simplify: iters left: 4 (29 enodes) 1545817646.959 * * [misc]simplify: iters left: 3 (47 enodes) 1545817646.972 * * [misc]simplify: iters left: 2 (59 enodes) 1545817646.986 * * [misc]simplify: iters left: 1 (71 enodes) 1545817647.004 * [exit]simplify: Simplified to (+ (/ -1/8 x) (+ x -1/2)) 1545817647.004 * [misc]simplify: Simplified (2) to (λ (x) (+ (/ -1/8 x) (+ x -1/2))) 1545817647.004 * * * * [misc]progress: [ 27 / 27 ] simplifiying candidate # 1545817647.004 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1545817647.005 * [misc]simplify: Simplified (2) to (λ (x) +nan.0) 1545817647.005 * * * [misc]progress: adding candidates to table 1545817647.496 * [misc]progress: [Phase 3 of 3] Extracting. 1545817647.497 * * [misc]regime: Finding splitpoints for: (# #) 1545817647.497 * * * [misc]regime-changes: Trying 1 branch expressions: (x) 1545817647.498 * * * * [misc]regimes: Trying to branch on x from (# #) 1545817647.574 * * * [misc]regime: Found split indices: #