1540371484.728 * [misc]progress: [Phase 1 of 3] Setting up. 1540371484.728 * * * [misc]progress: [1/2] Preparing points 1540371484.728 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1540371484.728 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1540371484.729 * * * * [misc]points: Setting MPFR precision to 64 1540371484.730 * * * * [misc]points: Setting MPFR precision to 320 1540371484.730 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1540371484.731 * * * * [misc]points: Setting MPFR precision to 64 1540371484.731 * * * * [misc]points: Setting MPFR precision to 320 1540371484.732 * * * * [misc]points: Setting MPFR precision to 576 1540371484.733 * * * * [misc]points: Setting MPFR precision to 832 1540371484.735 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.738 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1540371484.739 * * * * [misc]points: Setting MPFR precision to 832 1540371484.741 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.746 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.754 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1540371484.756 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.768 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.781 * * * * [misc]points: Computing exacts for 256 points 1540371484.785 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.813 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.834 * * * * [misc]points: Filtering points with unrepresentable outputs 1540371484.834 * * * * [misc]points: Sampling 123 additional inputs, on iter 1 have 133 / 256 1540371484.834 * * * * [misc]points: Computing exacts on every 7 of 123 points to ramp up precision 1540371484.836 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.837 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.838 * * * * [misc]points: Computing exacts on every 3 of 123 points to ramp up precision 1540371484.840 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.842 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.846 * * * * [misc]points: Computing exacts for 123 points 1540371484.848 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.864 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.881 * * * * [misc]points: Filtering points with unrepresentable outputs 1540371484.881 * * * * [misc]points: Sampling 70 additional inputs, on iter 2 have 186 / 256 1540371484.882 * * * * [misc]points: Computing exacts on every 4 of 70 points to ramp up precision 1540371484.885 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.887 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.889 * * * * [misc]points: Computing exacts on every 2 of 70 points to ramp up precision 1540371484.892 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.894 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.897 * * * * [misc]points: Computing exacts for 70 points 1540371484.899 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.908 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.916 * * * * [misc]points: Filtering points with unrepresentable outputs 1540371484.916 * * * * [misc]points: Sampling 36 additional inputs, on iter 3 have 220 / 256 1540371484.916 * * * * [misc]points: Computing exacts on every 2 of 36 points to ramp up precision 1540371484.918 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.919 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.920 * * * * [misc]points: Computing exacts for 36 points 1540371484.921 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.924 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.926 * * * * [misc]points: Filtering points with unrepresentable outputs 1540371484.926 * * * * [misc]points: Sampling 16 additional inputs, on iter 4 have 240 / 256 1540371484.926 * * * * [misc]points: Computing exacts for 16 points 1540371484.928 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.929 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.931 * * * * [misc]points: Filtering points with unrepresentable outputs 1540371484.931 * * * * [misc]points: Sampling 5 additional inputs, on iter 5 have 251 / 256 1540371484.931 * * * * [misc]points: Computing exacts for 5 points 1540371484.932 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.946 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.947 * * * * [misc]points: Filtering points with unrepresentable outputs 1540371484.947 * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 254 / 256 1540371484.947 * * * * [misc]points: Computing exacts for 4 points 1540371484.949 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.950 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.950 * * * * [misc]points: Filtering points with unrepresentable outputs 1540371484.950 * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 1540371484.950 * * * * [misc]points: Computing exacts for 4 points 1540371484.951 * * * * [misc]points: Setting MPFR precision to 1088 1540371484.952 * * * * [misc]points: Setting MPFR precision to 1344 1540371484.952 * * * * [misc]points: Filtering points with unrepresentable outputs 1540371484.952 * * * * [exit]points: Sampled 257 points with exact outputs 1540371484.952 * * * [misc]progress: [2/2] Setting up program. 1540371484.954 * [misc]progress: [Phase 2 of 3] Improving. 1540371484.954 * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) 1540371484.954 * * [misc]simplify: iters left: 5 (6 enodes) 1540371484.957 * * [misc]simplify: iters left: 4 (11 enodes) 1540371484.958 * * [misc]simplify: iters left: 3 (13 enodes) 1540371484.960 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371484.964 * * [misc]progress: iteration 1 / 4 1540371484.964 * * * [misc]progress: picking best candidate 1540371484.966 * * * * [misc]pick: Picked # 1540371484.966 * * * [misc]progress: localizing error 1540371485.006 * * * [misc]progress: generating rewritten candidates 1540371485.006 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1540371485.018 * * * [misc]progress: generating series expansions 1540371485.018 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1540371485.018 * [misc]backup-simplify: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 1540371485.018 * [misc]approximate: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 1540371485.018 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N 1540371485.018 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540371485.021 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540371485.021 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540371485.021 * [misc]taylor: Taking taylor expansion of 1 in N 1540371485.021 * [misc]backup-simplify: Simplify 1 into 1 1540371485.021 * [misc]taylor: Taking taylor expansion of N in N 1540371485.021 * [misc]backup-simplify: Simplify 0 into 0 1540371485.021 * [misc]backup-simplify: Simplify 1 into 1 1540371485.021 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371485.021 * [misc]backup-simplify: Simplify (log 1) into 0 1540371485.021 * [misc]taylor: Taking taylor expansion of (log N) in N 1540371485.021 * [misc]taylor: Taking taylor expansion of N in N 1540371485.021 * [misc]backup-simplify: Simplify 0 into 0 1540371485.021 * [misc]backup-simplify: Simplify 1 into 1 1540371485.022 * [misc]backup-simplify: Simplify (log 1) into 0 1540371485.022 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N 1540371485.022 * [misc]taylor: Taking taylor expansion of (log1p N) in N 1540371485.022 * [misc]taylor: Rewrote expression to (log (+ 1 N)) 1540371485.022 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N 1540371485.022 * [misc]taylor: Taking taylor expansion of 1 in N 1540371485.022 * [misc]backup-simplify: Simplify 1 into 1 1540371485.022 * [misc]taylor: Taking taylor expansion of N in N 1540371485.022 * [misc]backup-simplify: Simplify 0 into 0 1540371485.022 * [misc]backup-simplify: Simplify 1 into 1 1540371485.022 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371485.022 * [misc]backup-simplify: Simplify (log 1) into 0 1540371485.022 * [misc]taylor: Taking taylor expansion of (log N) in N 1540371485.022 * [misc]taylor: Taking taylor expansion of N in N 1540371485.022 * [misc]backup-simplify: Simplify 0 into 0 1540371485.022 * [misc]backup-simplify: Simplify 1 into 1 1540371485.022 * [misc]backup-simplify: Simplify (log 1) into 0 1540371485.023 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1540371485.023 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1540371485.023 * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) 1540371485.023 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1540371485.024 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371485.026 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540371485.028 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540371485.029 * [misc]backup-simplify: Simplify (- 0) into 0 1540371485.029 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371485.029 * [misc]backup-simplify: Simplify 1 into 1 1540371485.030 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371485.034 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1540371485.038 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540371485.038 * [misc]backup-simplify: Simplify (- 0) into 0 1540371485.039 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1540371485.039 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371485.039 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1540371485.039 * [misc]backup-simplify: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 1540371485.039 * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 1540371485.039 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 1540371485.039 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540371485.039 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540371485.039 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540371485.039 * [misc]taylor: Taking taylor expansion of 1 in N 1540371485.039 * [misc]backup-simplify: Simplify 1 into 1 1540371485.039 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371485.039 * [misc]taylor: Taking taylor expansion of N in N 1540371485.039 * [misc]backup-simplify: Simplify 0 into 0 1540371485.039 * [misc]backup-simplify: Simplify 1 into 1 1540371485.040 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371485.040 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371485.040 * [misc]backup-simplify: Simplify (log 1) into 0 1540371485.040 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1540371485.040 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371485.040 * [misc]taylor: Taking taylor expansion of N in N 1540371485.040 * [misc]backup-simplify: Simplify 0 into 0 1540371485.040 * [misc]backup-simplify: Simplify 1 into 1 1540371485.040 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371485.040 * [misc]backup-simplify: Simplify (log 1) into 0 1540371485.040 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 1540371485.041 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N 1540371485.041 * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) 1540371485.041 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1540371485.041 * [misc]taylor: Taking taylor expansion of 1 in N 1540371485.041 * [misc]backup-simplify: Simplify 1 into 1 1540371485.041 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371485.041 * [misc]taylor: Taking taylor expansion of N in N 1540371485.041 * [misc]backup-simplify: Simplify 0 into 0 1540371485.041 * [misc]backup-simplify: Simplify 1 into 1 1540371485.041 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371485.041 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371485.041 * [misc]backup-simplify: Simplify (log 1) into 0 1540371485.041 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N 1540371485.041 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371485.041 * [misc]taylor: Taking taylor expansion of N in N 1540371485.041 * [misc]backup-simplify: Simplify 0 into 0 1540371485.041 * [misc]backup-simplify: Simplify 1 into 1 1540371485.042 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371485.042 * [misc]backup-simplify: Simplify (log 1) into 0 1540371485.042 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540371485.042 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540371485.042 * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) 1540371485.042 * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 1540371485.042 * [misc]backup-simplify: Simplify 0 into 0 1540371485.043 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371485.043 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371485.045 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540371485.046 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371485.048 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540371485.048 * [misc]backup-simplify: Simplify (- 0) into 0 1540371485.049 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371485.049 * [misc]backup-simplify: Simplify 1 into 1 1540371485.049 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371485.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371485.053 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1540371485.054 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371485.058 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540371485.058 * [misc]backup-simplify: Simplify (- 0) into 0 1540371485.058 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1540371485.058 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371485.059 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371485.059 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371485.066 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1540371485.066 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371485.073 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1540371485.073 * [misc]backup-simplify: Simplify (- 0) into 0 1540371485.073 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 1540371485.073 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540371485.074 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371485.074 * [misc]backup-simplify: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 1540371485.074 * [misc]approximate: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 1540371485.074 * [misc]taylor: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 1540371485.074 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540371485.074 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540371485.074 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540371485.074 * [misc]taylor: Taking taylor expansion of 1 in N 1540371485.074 * [misc]backup-simplify: Simplify 1 into 1 1540371485.074 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540371485.074 * [misc]taylor: Taking taylor expansion of -1 in N 1540371485.074 * [misc]backup-simplify: Simplify -1 into -1 1540371485.074 * [misc]taylor: Taking taylor expansion of N in N 1540371485.074 * [misc]backup-simplify: Simplify 0 into 0 1540371485.074 * [misc]backup-simplify: Simplify 1 into 1 1540371485.074 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540371485.075 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371485.075 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540371485.075 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1540371485.075 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540371485.075 * [misc]taylor: Taking taylor expansion of -1 in N 1540371485.075 * [misc]backup-simplify: Simplify -1 into -1 1540371485.075 * [misc]taylor: Taking taylor expansion of N in N 1540371485.075 * [misc]backup-simplify: Simplify 0 into 0 1540371485.075 * [misc]backup-simplify: Simplify 1 into 1 1540371485.075 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540371485.075 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540371485.075 * [misc]taylor: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 1540371485.075 * [misc]taylor: Taking taylor expansion of (log1p (/ -1 N)) in N 1540371485.075 * [misc]taylor: Rewrote expression to (log (+ 1 (/ -1 N))) 1540371485.075 * [misc]taylor: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1540371485.075 * [misc]taylor: Taking taylor expansion of 1 in N 1540371485.076 * [misc]backup-simplify: Simplify 1 into 1 1540371485.076 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540371485.076 * [misc]taylor: Taking taylor expansion of -1 in N 1540371485.076 * [misc]backup-simplify: Simplify -1 into -1 1540371485.076 * [misc]taylor: Taking taylor expansion of N in N 1540371485.076 * [misc]backup-simplify: Simplify 0 into 0 1540371485.076 * [misc]backup-simplify: Simplify 1 into 1 1540371485.076 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540371485.076 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371485.076 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540371485.076 * [misc]taylor: Taking taylor expansion of (log (/ -1 N)) in N 1540371485.076 * [misc]taylor: Taking taylor expansion of (/ -1 N) in N 1540371485.076 * [misc]taylor: Taking taylor expansion of -1 in N 1540371485.076 * [misc]backup-simplify: Simplify -1 into -1 1540371485.076 * [misc]taylor: Taking taylor expansion of N in N 1540371485.076 * [misc]backup-simplify: Simplify 0 into 0 1540371485.076 * [misc]backup-simplify: Simplify 1 into 1 1540371485.077 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540371485.077 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540371485.077 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540371485.077 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1540371485.078 * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1540371485.078 * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1540371485.078 * [misc]backup-simplify: Simplify 0 into 0 1540371485.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540371485.079 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371485.081 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1540371485.081 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540371485.084 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540371485.084 * [misc]backup-simplify: Simplify (- 0) into 0 1540371485.084 * [misc]backup-simplify: Simplify (+ -1 0) into -1 1540371485.084 * [misc]backup-simplify: Simplify -1 into -1 1540371485.084 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371485.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371485.089 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1540371485.089 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371485.093 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1540371485.093 * [misc]backup-simplify: Simplify (- 0) into 0 1540371485.094 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1540371485.094 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371485.094 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371485.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371485.109 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 1540371485.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371485.116 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1540371485.116 * [misc]backup-simplify: Simplify (- 0) into 0 1540371485.116 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 1540371485.116 * [misc]backup-simplify: Simplify -1/3 into -1/3 1540371485.116 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371485.116 * * * [misc]progress: simplifying candidates 1540371485.116 * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # 1540371485.117 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1540371485.117 * * [misc]simplify: iters left: 6 (10 enodes) 1540371485.118 * * [misc]simplify: iters left: 5 (19 enodes) 1540371485.121 * * [misc]simplify: iters left: 4 (26 enodes) 1540371485.125 * * [misc]simplify: iters left: 3 (32 enodes) 1540371485.129 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371485.129 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1540371485.129 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1540371485.129 * * [misc]simplify: iters left: 6 (7 enodes) 1540371485.130 * * [misc]simplify: iters left: 5 (12 enodes) 1540371485.132 * * [misc]simplify: iters left: 4 (19 enodes) 1540371485.136 * * [misc]simplify: iters left: 3 (38 enodes) 1540371485.141 * * [misc]simplify: iters left: 2 (46 enodes) 1540371485.145 * [exit]simplify: Simplified to 0 1540371485.145 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540371485.145 * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # 1540371485.145 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) 1540371485.146 * * [misc]simplify: iters left: 6 (9 enodes) 1540371485.148 * * [misc]simplify: iters left: 5 (14 enodes) 1540371485.152 * * [misc]simplify: iters left: 4 (18 enodes) 1540371485.156 * * [misc]simplify: iters left: 3 (23 enodes) 1540371485.161 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371485.161 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1540371485.161 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1540371485.161 * * [misc]simplify: iters left: 5 (6 enodes) 1540371485.163 * * [misc]simplify: iters left: 4 (8 enodes) 1540371485.166 * * [misc]simplify: iters left: 3 (14 enodes) 1540371485.169 * * [misc]simplify: iters left: 2 (20 enodes) 1540371485.173 * * [misc]simplify: iters left: 1 (22 enodes) 1540371485.176 * [exit]simplify: Simplified to 0 1540371485.176 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540371485.177 * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # 1540371485.177 * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) 1540371485.177 * * [misc]simplify: iters left: 6 (9 enodes) 1540371485.180 * * [misc]simplify: iters left: 5 (19 enodes) 1540371485.186 * * [misc]simplify: iters left: 4 (26 enodes) 1540371485.193 * * [misc]simplify: iters left: 3 (37 enodes) 1540371485.199 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371485.199 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1540371485.199 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1540371485.199 * * [misc]simplify: iters left: 4 (6 enodes) 1540371485.201 * * [misc]simplify: iters left: 3 (11 enodes) 1540371485.204 * * [misc]simplify: iters left: 2 (21 enodes) 1540371485.209 * * [misc]simplify: iters left: 1 (30 enodes) 1540371485.215 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1540371485.215 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1540371485.215 * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # 1540371485.215 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1540371485.215 * * [misc]simplify: iters left: 6 (9 enodes) 1540371485.218 * * [misc]simplify: iters left: 5 (18 enodes) 1540371485.224 * * [misc]simplify: iters left: 4 (24 enodes) 1540371485.230 * * [misc]simplify: iters left: 3 (29 enodes) 1540371485.236 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371485.236 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1540371485.236 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1540371485.236 * * [misc]simplify: iters left: 6 (7 enodes) 1540371485.238 * * [misc]simplify: iters left: 5 (12 enodes) 1540371485.241 * * [misc]simplify: iters left: 4 (19 enodes) 1540371485.247 * * [misc]simplify: iters left: 3 (38 enodes) 1540371485.256 * * [misc]simplify: iters left: 2 (46 enodes) 1540371485.262 * [exit]simplify: Simplified to 0 1540371485.262 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540371485.262 * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # 1540371485.262 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) 1540371485.262 * * [misc]simplify: iters left: 6 (8 enodes) 1540371485.265 * * [misc]simplify: iters left: 5 (13 enodes) 1540371485.268 * * [misc]simplify: iters left: 4 (16 enodes) 1540371485.272 * * [misc]simplify: iters left: 3 (22 enodes) 1540371485.277 * * [misc]simplify: iters left: 2 (25 enodes) 1540371485.282 * * [misc]simplify: iters left: 1 (40 enodes) 1540371485.294 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371485.294 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1540371485.294 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1540371485.294 * * [misc]simplify: iters left: 5 (6 enodes) 1540371485.296 * * [misc]simplify: iters left: 4 (8 enodes) 1540371485.298 * * [misc]simplify: iters left: 3 (14 enodes) 1540371485.301 * * [misc]simplify: iters left: 2 (20 enodes) 1540371485.305 * * [misc]simplify: iters left: 1 (22 enodes) 1540371485.308 * [exit]simplify: Simplified to 0 1540371485.308 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540371485.308 * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # 1540371485.308 * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) 1540371485.308 * * [misc]simplify: iters left: 6 (8 enodes) 1540371485.311 * * [misc]simplify: iters left: 5 (18 enodes) 1540371485.316 * * [misc]simplify: iters left: 4 (24 enodes) 1540371485.323 * * [misc]simplify: iters left: 3 (33 enodes) 1540371485.328 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371485.328 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1540371485.329 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1540371485.329 * * [misc]simplify: iters left: 4 (6 enodes) 1540371485.330 * * [misc]simplify: iters left: 3 (11 enodes) 1540371485.334 * * [misc]simplify: iters left: 2 (21 enodes) 1540371485.339 * * [misc]simplify: iters left: 1 (30 enodes) 1540371485.344 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1540371485.344 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1540371485.344 * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # 1540371485.344 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1540371485.344 * * [misc]simplify: iters left: 6 (9 enodes) 1540371485.345 * * [misc]simplify: iters left: 5 (20 enodes) 1540371485.348 * * [misc]simplify: iters left: 4 (27 enodes) 1540371485.354 * * [misc]simplify: iters left: 3 (36 enodes) 1540371485.357 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371485.357 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1540371485.357 * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1540371485.358 * * [misc]simplify: iters left: 6 (7 enodes) 1540371485.359 * * [misc]simplify: iters left: 5 (12 enodes) 1540371485.361 * * [misc]simplify: iters left: 4 (19 enodes) 1540371485.364 * * [misc]simplify: iters left: 3 (38 enodes) 1540371485.369 * * [misc]simplify: iters left: 2 (46 enodes) 1540371485.373 * [exit]simplify: Simplified to 0 1540371485.373 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540371485.373 * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # 1540371485.373 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) 1540371485.373 * * [misc]simplify: iters left: 6 (8 enodes) 1540371485.374 * * [misc]simplify: iters left: 5 (15 enodes) 1540371485.376 * * [misc]simplify: iters left: 4 (19 enodes) 1540371485.379 * * [misc]simplify: iters left: 3 (26 enodes) 1540371485.382 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371485.382 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1540371485.382 * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1540371485.382 * * [misc]simplify: iters left: 5 (6 enodes) 1540371485.383 * * [misc]simplify: iters left: 4 (8 enodes) 1540371485.385 * * [misc]simplify: iters left: 3 (14 enodes) 1540371485.387 * * [misc]simplify: iters left: 2 (20 enodes) 1540371485.389 * * [misc]simplify: iters left: 1 (22 enodes) 1540371485.390 * [exit]simplify: Simplified to 0 1540371485.390 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1540371485.391 * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # 1540371485.391 * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (log N) 1))) 1540371485.391 * * [misc]simplify: iters left: 6 (7 enodes) 1540371485.392 * * [misc]simplify: iters left: 5 (17 enodes) 1540371485.396 * * [misc]simplify: iters left: 4 (24 enodes) 1540371485.404 * * [misc]simplify: iters left: 3 (36 enodes) 1540371485.407 * * [misc]simplify: iters left: 2 (39 enodes) 1540371485.411 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371485.411 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1540371485.411 * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1540371485.411 * * [misc]simplify: iters left: 4 (6 enodes) 1540371485.412 * * [misc]simplify: iters left: 3 (11 enodes) 1540371485.415 * * [misc]simplify: iters left: 2 (21 enodes) 1540371485.417 * * [misc]simplify: iters left: 1 (30 enodes) 1540371485.420 * [exit]simplify: Simplified to (fma -1 (log N) (log N)) 1540371485.420 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (fma -1 (log N) (log N)))) 1540371485.420 * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # 1540371485.420 * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # 1540371485.420 * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # 1540371485.421 * [enter]simplify: Simplifying (* (cbrt (log1p N)) (cbrt (log1p N))) 1540371485.421 * * [misc]simplify: iters left: 4 (4 enodes) 1540371485.421 * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) 1540371485.421 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 1540371485.421 * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # 1540371485.421 * [enter]simplify: Simplifying (sqrt (log1p N)) 1540371485.421 * * [misc]simplify: iters left: 2 (3 enodes) 1540371485.422 * [exit]simplify: Simplified to (sqrt (log1p N)) 1540371485.422 * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) 1540371485.422 * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # 1540371485.422 * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # 1540371485.422 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1540371485.422 * * [misc]simplify: iters left: 4 (4 enodes) 1540371485.423 * * [misc]simplify: iters left: 3 (7 enodes) 1540371485.424 * [exit]simplify: Simplified to (/ (+ N 1) N) 1540371485.424 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1540371485.424 * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # 1540371485.424 * [enter]simplify: Simplifying (/ (exp (log1p N)) N) 1540371485.424 * * [misc]simplify: iters left: 4 (4 enodes) 1540371485.424 * [exit]simplify: Simplified to (/ (exp (log1p N)) N) 1540371485.424 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (exp (log1p N)) N))) 1540371485.424 * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # 1540371485.425 * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # 1540371485.425 * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # 1540371485.425 * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # 1540371485.425 * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # 1540371485.425 * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # 1540371485.425 * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # 1540371485.425 * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # 1540371485.425 * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # 1540371485.425 * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # 1540371485.425 * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # 1540371485.425 * [enter]simplify: Simplifying (+ (sqrt (log1p N)) (sqrt (log N))) 1540371485.425 * * [misc]simplify: iters left: 4 (6 enodes) 1540371485.426 * * [misc]simplify: iters left: 3 (7 enodes) 1540371485.427 * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) 1540371485.427 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1540371485.427 * [enter]simplify: Simplifying (- (sqrt (log1p N)) (sqrt (log N))) 1540371485.427 * * [misc]simplify: iters left: 4 (6 enodes) 1540371485.428 * * [misc]simplify: iters left: 3 (8 enodes) 1540371485.429 * * [misc]simplify: iters left: 2 (9 enodes) 1540371485.430 * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) 1540371485.430 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) 1540371485.430 * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # 1540371485.430 * [enter]simplify: Simplifying (- (log1p N) (log N)) 1540371485.430 * * [misc]simplify: iters left: 3 (4 enodes) 1540371485.431 * * [misc]simplify: iters left: 2 (6 enodes) 1540371485.433 * * [misc]simplify: iters left: 1 (7 enodes) 1540371485.436 * [exit]simplify: Simplified to (- (log1p N) (log N)) 1540371485.436 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 1540371485.436 * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # 1540371485.436 * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # 1540371485.437 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1540371485.437 * * [misc]simplify: iters left: 6 (8 enodes) 1540371485.439 * * [misc]simplify: iters left: 5 (15 enodes) 1540371485.444 * * [misc]simplify: iters left: 4 (29 enodes) 1540371485.454 * * [misc]simplify: iters left: 3 (55 enodes) 1540371485.473 * * [misc]simplify: iters left: 2 (104 enodes) 1540371485.501 * * [misc]simplify: iters left: 1 (143 enodes) 1540371485.535 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1540371485.535 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1540371485.536 * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # 1540371485.536 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371485.536 * * [misc]simplify: iters left: 6 (15 enodes) 1540371485.540 * * [misc]simplify: iters left: 5 (32 enodes) 1540371485.552 * * [misc]simplify: iters left: 4 (61 enodes) 1540371485.572 * * [misc]simplify: iters left: 3 (103 enodes) 1540371485.594 * * [misc]simplify: iters left: 2 (168 enodes) 1540371485.623 * * [misc]simplify: iters left: 1 (248 enodes) 1540371485.731 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540371485.731 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540371485.731 * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # 1540371485.731 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371485.731 * * [misc]simplify: iters left: 6 (15 enodes) 1540371485.738 * * [misc]simplify: iters left: 5 (32 enodes) 1540371485.751 * * [misc]simplify: iters left: 4 (61 enodes) 1540371485.775 * * [misc]simplify: iters left: 3 (103 enodes) 1540371485.796 * * [misc]simplify: iters left: 2 (168 enodes) 1540371485.840 * * [misc]simplify: iters left: 1 (248 enodes) 1540371485.924 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540371485.924 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540371485.924 * * * [misc]progress: adding candidates to table 1540371486.174 * * [misc]progress: iteration 2 / 4 1540371486.174 * * * [misc]progress: picking best candidate 1540371486.187 * * * * [misc]pick: Picked # 1540371486.187 * * * [misc]progress: localizing error 1540371486.212 * * * [misc]progress: generating rewritten candidates 1540371486.212 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1540371486.213 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1540371486.216 * * * [misc]progress: generating series expansions 1540371486.216 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1540371486.216 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1540371486.216 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1540371486.216 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1540371486.216 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371486.216 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371486.216 * [misc]taylor: Taking taylor expansion of N in N 1540371486.216 * [misc]backup-simplify: Simplify 0 into 0 1540371486.216 * [misc]backup-simplify: Simplify 1 into 1 1540371486.216 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.216 * [misc]backup-simplify: Simplify 1 into 1 1540371486.216 * [misc]taylor: Taking taylor expansion of N in N 1540371486.216 * [misc]backup-simplify: Simplify 0 into 0 1540371486.216 * [misc]backup-simplify: Simplify 1 into 1 1540371486.216 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371486.217 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.217 * [misc]backup-simplify: Simplify (log 1) into 0 1540371486.217 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1540371486.217 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371486.217 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371486.217 * [misc]taylor: Taking taylor expansion of N in N 1540371486.217 * [misc]backup-simplify: Simplify 0 into 0 1540371486.217 * [misc]backup-simplify: Simplify 1 into 1 1540371486.217 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.217 * [misc]backup-simplify: Simplify 1 into 1 1540371486.217 * [misc]taylor: Taking taylor expansion of N in N 1540371486.217 * [misc]backup-simplify: Simplify 0 into 0 1540371486.217 * [misc]backup-simplify: Simplify 1 into 1 1540371486.217 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371486.217 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.217 * [misc]backup-simplify: Simplify (log 1) into 0 1540371486.217 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540371486.217 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1540371486.217 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371486.218 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540371486.219 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540371486.219 * [misc]backup-simplify: Simplify 1 into 1 1540371486.219 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.219 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540371486.222 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1540371486.222 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371486.222 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1540371486.222 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1540371486.222 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1540371486.222 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1540371486.222 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371486.222 * [misc]taylor: Taking taylor expansion of N in N 1540371486.222 * [misc]backup-simplify: Simplify 0 into 0 1540371486.222 * [misc]backup-simplify: Simplify 1 into 1 1540371486.222 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371486.222 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371486.222 * [misc]taylor: Taking taylor expansion of N in N 1540371486.222 * [misc]backup-simplify: Simplify 0 into 0 1540371486.222 * [misc]backup-simplify: Simplify 1 into 1 1540371486.223 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.223 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.223 * [misc]backup-simplify: Simplify 1 into 1 1540371486.223 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371486.223 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371486.223 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371486.223 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371486.223 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371486.223 * [misc]backup-simplify: Simplify (log 1) into 0 1540371486.223 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1540371486.223 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371486.223 * [misc]taylor: Taking taylor expansion of N in N 1540371486.223 * [misc]backup-simplify: Simplify 0 into 0 1540371486.223 * [misc]backup-simplify: Simplify 1 into 1 1540371486.223 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371486.223 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371486.223 * [misc]taylor: Taking taylor expansion of N in N 1540371486.223 * [misc]backup-simplify: Simplify 0 into 0 1540371486.223 * [misc]backup-simplify: Simplify 1 into 1 1540371486.224 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.224 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.224 * [misc]backup-simplify: Simplify 1 into 1 1540371486.224 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371486.224 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371486.224 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371486.224 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371486.224 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371486.224 * [misc]backup-simplify: Simplify (log 1) into 0 1540371486.224 * [misc]backup-simplify: Simplify 0 into 0 1540371486.224 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.225 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371486.226 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540371486.226 * [misc]backup-simplify: Simplify 1 into 1 1540371486.226 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.227 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.227 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540371486.231 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1540371486.231 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371486.232 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.232 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.232 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1540371486.237 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1540371486.238 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540371486.238 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371486.238 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1540371486.238 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1540371486.238 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1540371486.238 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371486.238 * [misc]taylor: Taking taylor expansion of -1 in N 1540371486.238 * [misc]backup-simplify: Simplify -1 into -1 1540371486.238 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371486.238 * [misc]taylor: Taking taylor expansion of N in N 1540371486.238 * [misc]backup-simplify: Simplify 0 into 0 1540371486.238 * [misc]backup-simplify: Simplify 1 into 1 1540371486.238 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371486.238 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.238 * [misc]backup-simplify: Simplify 1 into 1 1540371486.238 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371486.238 * [misc]taylor: Taking taylor expansion of N in N 1540371486.238 * [misc]backup-simplify: Simplify 0 into 0 1540371486.238 * [misc]backup-simplify: Simplify 1 into 1 1540371486.238 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.238 * [misc]backup-simplify: Simplify (- 1) into -1 1540371486.239 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371486.239 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371486.239 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371486.239 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371486.239 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.239 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371486.239 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371486.239 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371486.239 * [misc]backup-simplify: Simplify (log 1) into 0 1540371486.239 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1540371486.239 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371486.239 * [misc]taylor: Taking taylor expansion of -1 in N 1540371486.239 * [misc]backup-simplify: Simplify -1 into -1 1540371486.240 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371486.240 * [misc]taylor: Taking taylor expansion of N in N 1540371486.240 * [misc]backup-simplify: Simplify 0 into 0 1540371486.240 * [misc]backup-simplify: Simplify 1 into 1 1540371486.240 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371486.240 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.240 * [misc]backup-simplify: Simplify 1 into 1 1540371486.240 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371486.240 * [misc]taylor: Taking taylor expansion of N in N 1540371486.240 * [misc]backup-simplify: Simplify 0 into 0 1540371486.240 * [misc]backup-simplify: Simplify 1 into 1 1540371486.240 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.240 * [misc]backup-simplify: Simplify (- 1) into -1 1540371486.240 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371486.240 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371486.240 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371486.240 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371486.240 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.240 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371486.241 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371486.241 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371486.241 * [misc]backup-simplify: Simplify (log 1) into 0 1540371486.241 * [misc]backup-simplify: Simplify 0 into 0 1540371486.241 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.241 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.242 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371486.242 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371486.243 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1540371486.243 * [misc]backup-simplify: Simplify -1 into -1 1540371486.244 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.244 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.244 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.244 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540371486.244 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540371486.247 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1540371486.247 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371486.247 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.247 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.247 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1540371486.248 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1540371486.251 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1540371486.251 * [misc]backup-simplify: Simplify -1/3 into -1/3 1540371486.252 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371486.252 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1540371486.252 * [misc]backup-simplify: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1540371486.252 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1540371486.252 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371486.252 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371486.252 * [misc]taylor: Taking taylor expansion of N in N 1540371486.252 * [misc]backup-simplify: Simplify 0 into 0 1540371486.252 * [misc]backup-simplify: Simplify 1 into 1 1540371486.252 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.252 * [misc]backup-simplify: Simplify 1 into 1 1540371486.252 * [misc]taylor: Taking taylor expansion of N in N 1540371486.252 * [misc]backup-simplify: Simplify 0 into 0 1540371486.252 * [misc]backup-simplify: Simplify 1 into 1 1540371486.252 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371486.252 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.252 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371486.252 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371486.252 * [misc]taylor: Taking taylor expansion of N in N 1540371486.252 * [misc]backup-simplify: Simplify 0 into 0 1540371486.252 * [misc]backup-simplify: Simplify 1 into 1 1540371486.252 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.252 * [misc]backup-simplify: Simplify 1 into 1 1540371486.252 * [misc]taylor: Taking taylor expansion of N in N 1540371486.252 * [misc]backup-simplify: Simplify 0 into 0 1540371486.252 * [misc]backup-simplify: Simplify 1 into 1 1540371486.253 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371486.253 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.253 * [misc]backup-simplify: Simplify 1 into 1 1540371486.253 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371486.253 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540371486.253 * [misc]backup-simplify: Simplify 1 into 1 1540371486.253 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.253 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540371486.253 * [misc]backup-simplify: Simplify 0 into 0 1540371486.253 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.254 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.254 * [misc]backup-simplify: Simplify 0 into 0 1540371486.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.254 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.254 * [misc]backup-simplify: Simplify 0 into 0 1540371486.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.254 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.255 * [misc]backup-simplify: Simplify 0 into 0 1540371486.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.255 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.255 * [misc]backup-simplify: Simplify 0 into 0 1540371486.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.255 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.255 * [misc]backup-simplify: Simplify 0 into 0 1540371486.256 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1540371486.256 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1540371486.256 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1540371486.256 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371486.256 * [misc]taylor: Taking taylor expansion of N in N 1540371486.256 * [misc]backup-simplify: Simplify 0 into 0 1540371486.256 * [misc]backup-simplify: Simplify 1 into 1 1540371486.256 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371486.256 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371486.256 * [misc]taylor: Taking taylor expansion of N in N 1540371486.256 * [misc]backup-simplify: Simplify 0 into 0 1540371486.256 * [misc]backup-simplify: Simplify 1 into 1 1540371486.256 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.256 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.256 * [misc]backup-simplify: Simplify 1 into 1 1540371486.256 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371486.256 * [misc]taylor: Taking taylor expansion of N in N 1540371486.256 * [misc]backup-simplify: Simplify 0 into 0 1540371486.256 * [misc]backup-simplify: Simplify 1 into 1 1540371486.256 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371486.256 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371486.256 * [misc]taylor: Taking taylor expansion of N in N 1540371486.256 * [misc]backup-simplify: Simplify 0 into 0 1540371486.256 * [misc]backup-simplify: Simplify 1 into 1 1540371486.256 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.256 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.256 * [misc]backup-simplify: Simplify 1 into 1 1540371486.256 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371486.256 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371486.256 * [misc]backup-simplify: Simplify 0 into 0 1540371486.257 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371486.257 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371486.257 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371486.257 * [misc]backup-simplify: Simplify 1 into 1 1540371486.257 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.257 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.257 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371486.257 * [misc]backup-simplify: Simplify 1 into 1 1540371486.258 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.258 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.258 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540371486.258 * [misc]backup-simplify: Simplify 0 into 0 1540371486.258 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.258 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.258 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1540371486.258 * [misc]backup-simplify: Simplify 0 into 0 1540371486.259 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.259 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.259 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1540371486.259 * [misc]backup-simplify: Simplify 0 into 0 1540371486.259 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.260 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.260 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1540371486.260 * [misc]backup-simplify: Simplify 0 into 0 1540371486.260 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.260 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.261 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1540371486.261 * [misc]backup-simplify: Simplify 0 into 0 1540371486.261 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.261 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.261 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1540371486.261 * [misc]backup-simplify: Simplify 0 into 0 1540371486.261 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1540371486.262 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1540371486.262 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1540371486.262 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371486.262 * [misc]taylor: Taking taylor expansion of -1 in N 1540371486.262 * [misc]backup-simplify: Simplify -1 into -1 1540371486.262 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371486.262 * [misc]taylor: Taking taylor expansion of N in N 1540371486.262 * [misc]backup-simplify: Simplify 0 into 0 1540371486.262 * [misc]backup-simplify: Simplify 1 into 1 1540371486.262 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371486.262 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.262 * [misc]backup-simplify: Simplify 1 into 1 1540371486.262 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371486.262 * [misc]taylor: Taking taylor expansion of N in N 1540371486.262 * [misc]backup-simplify: Simplify 0 into 0 1540371486.262 * [misc]backup-simplify: Simplify 1 into 1 1540371486.262 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.262 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371486.262 * [misc]taylor: Taking taylor expansion of -1 in N 1540371486.262 * [misc]backup-simplify: Simplify -1 into -1 1540371486.262 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371486.262 * [misc]taylor: Taking taylor expansion of N in N 1540371486.262 * [misc]backup-simplify: Simplify 0 into 0 1540371486.262 * [misc]backup-simplify: Simplify 1 into 1 1540371486.262 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371486.262 * [misc]taylor: Taking taylor expansion of 1 in N 1540371486.262 * [misc]backup-simplify: Simplify 1 into 1 1540371486.262 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371486.262 * [misc]taylor: Taking taylor expansion of N in N 1540371486.262 * [misc]backup-simplify: Simplify 0 into 0 1540371486.262 * [misc]backup-simplify: Simplify 1 into 1 1540371486.262 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371486.262 * [misc]backup-simplify: Simplify (- 1) into -1 1540371486.263 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371486.263 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371486.263 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371486.263 * [misc]backup-simplify: Simplify 0 into 0 1540371486.263 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371486.263 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.263 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371486.263 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371486.263 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371486.263 * [misc]backup-simplify: Simplify 1 into 1 1540371486.264 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.264 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.264 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371486.264 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371486.264 * [misc]backup-simplify: Simplify -1 into -1 1540371486.264 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.264 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.265 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.265 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540371486.265 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540371486.265 * [misc]backup-simplify: Simplify 0 into 0 1540371486.265 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.265 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.265 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.266 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1540371486.266 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1540371486.266 * [misc]backup-simplify: Simplify 0 into 0 1540371486.266 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.266 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.266 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.267 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1540371486.267 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1540371486.267 * [misc]backup-simplify: Simplify 0 into 0 1540371486.267 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.267 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.267 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.268 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1540371486.268 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1540371486.268 * [misc]backup-simplify: Simplify 0 into 0 1540371486.268 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.268 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.268 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.269 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1540371486.269 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1540371486.269 * [misc]backup-simplify: Simplify 0 into 0 1540371486.269 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371486.270 * [misc]backup-simplify: Simplify (- 0) into 0 1540371486.270 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371486.270 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1540371486.270 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1540371486.270 * [misc]backup-simplify: Simplify 0 into 0 1540371486.270 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1540371486.270 * * * [misc]progress: simplifying candidates 1540371486.270 * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # 1540371486.271 * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # 1540371486.271 * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # 1540371486.271 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1540371486.271 * * [misc]simplify: iters left: 6 (7 enodes) 1540371486.273 * * [misc]simplify: iters left: 5 (12 enodes) 1540371486.276 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1540371486.276 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) 1540371486.276 * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # 1540371486.277 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1540371486.277 * * [misc]simplify: iters left: 6 (6 enodes) 1540371486.279 * * [misc]simplify: iters left: 5 (9 enodes) 1540371486.281 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1540371486.281 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1540371486.281 * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # 1540371486.281 * [enter]simplify: Simplifying (log 1) 1540371486.281 * * [misc]simplify: iters left: 1 (2 enodes) 1540371486.283 * [exit]simplify: Simplified to 0 1540371486.283 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N)))) 1540371486.283 * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # 1540371486.283 * [enter]simplify: Simplifying (log (+ 1 N)) 1540371486.283 * * [misc]simplify: iters left: 3 (4 enodes) 1540371486.285 * * [misc]simplify: iters left: 2 (8 enodes) 1540371486.286 * [exit]simplify: Simplified to (log1p N) 1540371486.286 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N)))) 1540371486.286 * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # 1540371486.287 * [enter]simplify: Simplifying (log (+ 1 N)) 1540371486.287 * * [misc]simplify: iters left: 3 (4 enodes) 1540371486.288 * * [misc]simplify: iters left: 2 (8 enodes) 1540371486.290 * [exit]simplify: Simplified to (log1p N) 1540371486.290 * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) 1540371486.290 * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # 1540371486.290 * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # 1540371486.290 * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # 1540371486.291 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1540371486.291 * * [misc]simplify: iters left: 4 (4 enodes) 1540371486.292 * * [misc]simplify: iters left: 3 (7 enodes) 1540371486.294 * [exit]simplify: Simplified to (/ (+ N 1) N) 1540371486.295 * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 1540371486.295 * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # 1540371486.295 * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # 1540371486.295 * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # 1540371486.295 * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # 1540371486.295 * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # 1540371486.295 * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # 1540371486.296 * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # 1540371486.297 * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1540371486.297 * * [misc]simplify: iters left: 5 (5 enodes) 1540371486.298 * * [misc]simplify: iters left: 4 (8 enodes) 1540371486.300 * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1540371486.300 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))) 1540371486.300 * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # 1540371486.301 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1540371486.301 * * [misc]simplify: iters left: 3 (4 enodes) 1540371486.302 * * [misc]simplify: iters left: 2 (7 enodes) 1540371486.304 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1540371486.304 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))) 1540371486.304 * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # 1540371486.304 * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # 1540371486.304 * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) 1540371486.304 * * [misc]simplify: iters left: 3 (6 enodes) 1540371486.307 * * [misc]simplify: iters left: 2 (14 enodes) 1540371486.310 * * [misc]simplify: iters left: 1 (16 enodes) 1540371486.314 * [exit]simplify: Simplified to (fma (* N N) N 1) 1540371486.314 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))) 1540371486.314 * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # 1540371486.314 * [enter]simplify: Simplifying (- (* 1 1) (* N N)) 1540371486.314 * * [misc]simplify: iters left: 4 (5 enodes) 1540371486.316 * * [misc]simplify: iters left: 3 (10 enodes) 1540371486.318 * * [misc]simplify: iters left: 2 (14 enodes) 1540371486.321 * * [misc]simplify: iters left: 1 (16 enodes) 1540371486.325 * [exit]simplify: Simplified to (- 1 (* N N)) 1540371486.325 * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N))))) 1540371486.325 * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # 1540371486.325 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1540371486.326 * * [misc]simplify: iters left: 6 (8 enodes) 1540371486.328 * * [misc]simplify: iters left: 5 (15 enodes) 1540371486.332 * * [misc]simplify: iters left: 4 (29 enodes) 1540371486.342 * * [misc]simplify: iters left: 3 (55 enodes) 1540371486.363 * * [misc]simplify: iters left: 2 (104 enodes) 1540371486.388 * * [misc]simplify: iters left: 1 (143 enodes) 1540371486.415 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1540371486.415 * [misc]simplify: Simplified (2) to (λ (N) (fma (* N -1/2) N (- N (log N)))) 1540371486.415 * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # 1540371486.415 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371486.415 * * [misc]simplify: iters left: 6 (15 enodes) 1540371486.419 * * [misc]simplify: iters left: 5 (32 enodes) 1540371486.426 * * [misc]simplify: iters left: 4 (61 enodes) 1540371486.441 * * [misc]simplify: iters left: 3 (103 enodes) 1540371486.485 * * [misc]simplify: iters left: 2 (168 enodes) 1540371486.542 * * [misc]simplify: iters left: 1 (248 enodes) 1540371486.656 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540371486.656 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540371486.656 * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # 1540371486.656 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371486.656 * * [misc]simplify: iters left: 6 (15 enodes) 1540371486.663 * * [misc]simplify: iters left: 5 (32 enodes) 1540371486.676 * * [misc]simplify: iters left: 4 (61 enodes) 1540371486.697 * * [misc]simplify: iters left: 3 (103 enodes) 1540371486.745 * * [misc]simplify: iters left: 2 (168 enodes) 1540371486.804 * * [misc]simplify: iters left: 1 (248 enodes) 1540371486.916 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540371486.916 * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) 1540371486.916 * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # 1540371486.917 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1540371486.917 * * [misc]simplify: iters left: 4 (4 enodes) 1540371486.918 * * [misc]simplify: iters left: 3 (7 enodes) 1540371486.920 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1540371486.920 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1540371486.920 * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # 1540371486.920 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1540371486.920 * * [misc]simplify: iters left: 4 (4 enodes) 1540371486.921 * * [misc]simplify: iters left: 3 (7 enodes) 1540371486.924 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1540371486.924 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1540371486.924 * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # 1540371486.924 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1540371486.924 * * [misc]simplify: iters left: 4 (4 enodes) 1540371486.925 * * [misc]simplify: iters left: 3 (7 enodes) 1540371486.927 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1540371486.927 * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 1540371486.927 * * * [misc]progress: adding candidates to table 1540371487.169 * * [misc]progress: iteration 3 / 4 1540371487.169 * * * [misc]progress: picking best candidate 1540371487.192 * * * * [misc]pick: Picked # 1540371487.192 * * * [misc]progress: localizing error 1540371487.211 * * * [misc]progress: generating rewritten candidates 1540371487.211 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1540371487.212 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1540371487.214 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1540371487.215 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1540371487.216 * * * [misc]progress: generating series expansions 1540371487.216 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1540371487.216 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1540371487.216 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1540371487.216 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1540371487.216 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371487.216 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371487.216 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371487.216 * [misc]taylor: Taking taylor expansion of N in N 1540371487.216 * [misc]backup-simplify: Simplify 0 into 0 1540371487.216 * [misc]backup-simplify: Simplify 1 into 1 1540371487.216 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.216 * [misc]backup-simplify: Simplify 1 into 1 1540371487.216 * [misc]taylor: Taking taylor expansion of N in N 1540371487.216 * [misc]backup-simplify: Simplify 0 into 0 1540371487.216 * [misc]backup-simplify: Simplify 1 into 1 1540371487.216 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.217 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.217 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371487.217 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371487.218 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1540371487.218 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1540371487.218 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371487.218 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371487.218 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371487.218 * [misc]taylor: Taking taylor expansion of N in N 1540371487.218 * [misc]backup-simplify: Simplify 0 into 0 1540371487.218 * [misc]backup-simplify: Simplify 1 into 1 1540371487.218 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.218 * [misc]backup-simplify: Simplify 1 into 1 1540371487.218 * [misc]taylor: Taking taylor expansion of N in N 1540371487.218 * [misc]backup-simplify: Simplify 0 into 0 1540371487.218 * [misc]backup-simplify: Simplify 1 into 1 1540371487.218 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.218 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.218 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371487.218 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371487.219 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1540371487.219 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1540371487.219 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.219 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540371487.221 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540371487.223 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1540371487.223 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371487.223 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.224 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540371487.229 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540371487.232 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1540371487.232 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371487.232 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1540371487.232 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1540371487.232 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1540371487.232 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1540371487.232 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371487.232 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371487.232 * [misc]taylor: Taking taylor expansion of N in N 1540371487.232 * [misc]backup-simplify: Simplify 0 into 0 1540371487.232 * [misc]backup-simplify: Simplify 1 into 1 1540371487.232 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371487.232 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.232 * [misc]taylor: Taking taylor expansion of N in N 1540371487.232 * [misc]backup-simplify: Simplify 0 into 0 1540371487.232 * [misc]backup-simplify: Simplify 1 into 1 1540371487.233 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.233 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.233 * [misc]backup-simplify: Simplify 1 into 1 1540371487.233 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.233 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371487.233 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.233 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.233 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371487.233 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.234 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.234 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.234 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371487.234 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371487.234 * [misc]backup-simplify: Simplify (log 1) into 0 1540371487.234 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1540371487.234 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371487.234 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371487.234 * [misc]taylor: Taking taylor expansion of N in N 1540371487.234 * [misc]backup-simplify: Simplify 0 into 0 1540371487.234 * [misc]backup-simplify: Simplify 1 into 1 1540371487.234 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371487.234 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.234 * [misc]taylor: Taking taylor expansion of N in N 1540371487.234 * [misc]backup-simplify: Simplify 0 into 0 1540371487.234 * [misc]backup-simplify: Simplify 1 into 1 1540371487.234 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.234 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.234 * [misc]backup-simplify: Simplify 1 into 1 1540371487.235 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.235 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371487.235 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.235 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.235 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371487.235 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.235 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.235 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.236 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371487.236 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371487.236 * [misc]backup-simplify: Simplify (log 1) into 0 1540371487.236 * [misc]backup-simplify: Simplify 0 into 0 1540371487.238 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1540371487.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540371487.238 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.238 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.238 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540371487.239 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1540371487.241 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1540371487.241 * [misc]backup-simplify: Simplify -1/4 into -1/4 1540371487.242 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.242 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.242 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1540371487.242 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1540371487.246 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1540371487.246 * [misc]backup-simplify: Simplify 1/6 into 1/6 1540371487.246 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371487.246 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1540371487.247 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1540371487.247 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1540371487.247 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371487.247 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371487.247 * [misc]taylor: Taking taylor expansion of -1 in N 1540371487.247 * [misc]backup-simplify: Simplify -1 into -1 1540371487.247 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371487.247 * [misc]taylor: Taking taylor expansion of N in N 1540371487.247 * [misc]backup-simplify: Simplify 0 into 0 1540371487.247 * [misc]backup-simplify: Simplify 1 into 1 1540371487.247 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371487.247 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.247 * [misc]backup-simplify: Simplify 1 into 1 1540371487.247 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.247 * [misc]taylor: Taking taylor expansion of N in N 1540371487.247 * [misc]backup-simplify: Simplify 0 into 0 1540371487.247 * [misc]backup-simplify: Simplify 1 into 1 1540371487.247 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.247 * [misc]backup-simplify: Simplify (- 1) into -1 1540371487.247 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371487.247 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371487.247 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371487.247 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.248 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.248 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.248 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371487.248 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371487.248 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.248 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.248 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.248 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.249 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371487.249 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371487.249 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371487.249 * [misc]backup-simplify: Simplify (log 1) into 0 1540371487.249 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1540371487.249 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371487.249 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371487.249 * [misc]taylor: Taking taylor expansion of -1 in N 1540371487.249 * [misc]backup-simplify: Simplify -1 into -1 1540371487.249 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371487.249 * [misc]taylor: Taking taylor expansion of N in N 1540371487.249 * [misc]backup-simplify: Simplify 0 into 0 1540371487.249 * [misc]backup-simplify: Simplify 1 into 1 1540371487.249 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371487.249 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.249 * [misc]backup-simplify: Simplify 1 into 1 1540371487.249 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.249 * [misc]taylor: Taking taylor expansion of N in N 1540371487.249 * [misc]backup-simplify: Simplify 0 into 0 1540371487.249 * [misc]backup-simplify: Simplify 1 into 1 1540371487.249 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.249 * [misc]backup-simplify: Simplify (- 1) into -1 1540371487.249 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371487.250 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371487.250 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371487.250 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.250 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.250 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.250 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371487.250 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371487.250 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.251 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.251 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.251 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.251 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371487.251 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371487.251 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371487.251 * [misc]backup-simplify: Simplify (log 1) into 0 1540371487.251 * [misc]backup-simplify: Simplify 0 into 0 1540371487.253 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1540371487.253 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371487.253 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.253 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.253 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.254 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540371487.254 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540371487.255 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1540371487.257 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1540371487.257 * [misc]backup-simplify: Simplify -1/4 into -1/4 1540371487.257 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.257 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.258 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.258 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1540371487.258 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1540371487.258 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1540371487.263 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1540371487.264 * [misc]backup-simplify: Simplify -1/6 into -1/6 1540371487.264 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371487.264 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1540371487.264 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1540371487.264 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1540371487.264 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1540371487.264 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371487.264 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371487.264 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371487.264 * [misc]taylor: Taking taylor expansion of N in N 1540371487.264 * [misc]backup-simplify: Simplify 0 into 0 1540371487.264 * [misc]backup-simplify: Simplify 1 into 1 1540371487.264 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.264 * [misc]backup-simplify: Simplify 1 into 1 1540371487.265 * [misc]taylor: Taking taylor expansion of N in N 1540371487.265 * [misc]backup-simplify: Simplify 0 into 0 1540371487.265 * [misc]backup-simplify: Simplify 1 into 1 1540371487.265 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.265 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.265 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371487.266 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371487.266 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1540371487.266 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1540371487.266 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371487.266 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371487.266 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371487.266 * [misc]taylor: Taking taylor expansion of N in N 1540371487.266 * [misc]backup-simplify: Simplify 0 into 0 1540371487.266 * [misc]backup-simplify: Simplify 1 into 1 1540371487.266 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.266 * [misc]backup-simplify: Simplify 1 into 1 1540371487.266 * [misc]taylor: Taking taylor expansion of N in N 1540371487.266 * [misc]backup-simplify: Simplify 0 into 0 1540371487.266 * [misc]backup-simplify: Simplify 1 into 1 1540371487.266 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.266 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.266 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371487.267 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371487.267 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1540371487.267 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1540371487.267 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.268 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540371487.269 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540371487.271 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1540371487.271 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371487.271 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.271 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540371487.272 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540371487.276 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1540371487.276 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371487.277 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1540371487.277 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1540371487.277 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1540371487.277 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1540371487.277 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371487.277 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371487.277 * [misc]taylor: Taking taylor expansion of N in N 1540371487.277 * [misc]backup-simplify: Simplify 0 into 0 1540371487.277 * [misc]backup-simplify: Simplify 1 into 1 1540371487.277 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371487.277 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.277 * [misc]taylor: Taking taylor expansion of N in N 1540371487.277 * [misc]backup-simplify: Simplify 0 into 0 1540371487.277 * [misc]backup-simplify: Simplify 1 into 1 1540371487.277 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.277 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.277 * [misc]backup-simplify: Simplify 1 into 1 1540371487.277 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.278 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371487.278 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.278 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.278 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371487.278 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.279 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.279 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.279 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371487.279 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371487.279 * [misc]backup-simplify: Simplify (log 1) into 0 1540371487.279 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1540371487.279 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371487.279 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371487.279 * [misc]taylor: Taking taylor expansion of N in N 1540371487.279 * [misc]backup-simplify: Simplify 0 into 0 1540371487.279 * [misc]backup-simplify: Simplify 1 into 1 1540371487.279 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371487.279 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.280 * [misc]taylor: Taking taylor expansion of N in N 1540371487.280 * [misc]backup-simplify: Simplify 0 into 0 1540371487.280 * [misc]backup-simplify: Simplify 1 into 1 1540371487.280 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.280 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.280 * [misc]backup-simplify: Simplify 1 into 1 1540371487.280 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.280 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371487.280 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.280 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.281 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371487.281 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.281 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.281 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.281 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371487.282 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371487.282 * [misc]backup-simplify: Simplify (log 1) into 0 1540371487.282 * [misc]backup-simplify: Simplify 0 into 0 1540371487.284 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1540371487.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540371487.285 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.285 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540371487.286 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1540371487.290 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1540371487.290 * [misc]backup-simplify: Simplify -1/4 into -1/4 1540371487.291 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.291 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1540371487.291 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1540371487.297 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1540371487.297 * [misc]backup-simplify: Simplify 1/6 into 1/6 1540371487.298 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371487.298 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1540371487.298 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1540371487.298 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1540371487.298 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371487.298 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371487.298 * [misc]taylor: Taking taylor expansion of -1 in N 1540371487.298 * [misc]backup-simplify: Simplify -1 into -1 1540371487.298 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371487.298 * [misc]taylor: Taking taylor expansion of N in N 1540371487.298 * [misc]backup-simplify: Simplify 0 into 0 1540371487.298 * [misc]backup-simplify: Simplify 1 into 1 1540371487.298 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371487.298 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.298 * [misc]backup-simplify: Simplify 1 into 1 1540371487.298 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.298 * [misc]taylor: Taking taylor expansion of N in N 1540371487.298 * [misc]backup-simplify: Simplify 0 into 0 1540371487.298 * [misc]backup-simplify: Simplify 1 into 1 1540371487.299 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.299 * [misc]backup-simplify: Simplify (- 1) into -1 1540371487.299 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371487.299 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371487.299 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371487.299 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.300 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.300 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.300 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371487.300 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371487.300 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.301 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.301 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.301 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.301 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371487.301 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371487.302 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371487.302 * [misc]backup-simplify: Simplify (log 1) into 0 1540371487.302 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1540371487.302 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371487.302 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371487.302 * [misc]taylor: Taking taylor expansion of -1 in N 1540371487.302 * [misc]backup-simplify: Simplify -1 into -1 1540371487.302 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371487.302 * [misc]taylor: Taking taylor expansion of N in N 1540371487.302 * [misc]backup-simplify: Simplify 0 into 0 1540371487.302 * [misc]backup-simplify: Simplify 1 into 1 1540371487.302 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371487.302 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.302 * [misc]backup-simplify: Simplify 1 into 1 1540371487.302 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.302 * [misc]taylor: Taking taylor expansion of N in N 1540371487.302 * [misc]backup-simplify: Simplify 0 into 0 1540371487.302 * [misc]backup-simplify: Simplify 1 into 1 1540371487.302 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.302 * [misc]backup-simplify: Simplify (- 1) into -1 1540371487.302 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371487.303 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371487.303 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371487.303 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.303 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.303 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.303 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371487.304 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371487.304 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.304 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.304 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.304 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.305 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371487.305 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371487.305 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371487.305 * [misc]backup-simplify: Simplify (log 1) into 0 1540371487.305 * [misc]backup-simplify: Simplify 0 into 0 1540371487.308 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1540371487.308 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371487.308 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.309 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.309 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.309 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540371487.309 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540371487.311 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1540371487.314 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1540371487.315 * [misc]backup-simplify: Simplify -1/4 into -1/4 1540371487.315 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.315 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.315 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.316 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1540371487.316 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1540371487.316 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1540371487.322 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1540371487.322 * [misc]backup-simplify: Simplify -1/6 into -1/6 1540371487.323 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371487.323 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1540371487.323 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 1540371487.323 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1540371487.323 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371487.323 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371487.323 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371487.323 * [misc]taylor: Taking taylor expansion of N in N 1540371487.323 * [misc]backup-simplify: Simplify 0 into 0 1540371487.323 * [misc]backup-simplify: Simplify 1 into 1 1540371487.323 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.323 * [misc]backup-simplify: Simplify 1 into 1 1540371487.323 * [misc]taylor: Taking taylor expansion of N in N 1540371487.323 * [misc]backup-simplify: Simplify 0 into 0 1540371487.323 * [misc]backup-simplify: Simplify 1 into 1 1540371487.323 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.324 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.324 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371487.324 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371487.324 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371487.324 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371487.324 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371487.324 * [misc]taylor: Taking taylor expansion of N in N 1540371487.324 * [misc]backup-simplify: Simplify 0 into 0 1540371487.325 * [misc]backup-simplify: Simplify 1 into 1 1540371487.325 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.325 * [misc]backup-simplify: Simplify 1 into 1 1540371487.325 * [misc]taylor: Taking taylor expansion of N in N 1540371487.325 * [misc]backup-simplify: Simplify 0 into 0 1540371487.325 * [misc]backup-simplify: Simplify 1 into 1 1540371487.325 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.325 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.325 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371487.325 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371487.326 * [misc]backup-simplify: Simplify 0 into 0 1540371487.326 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371487.326 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.326 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540371487.327 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540371487.327 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371487.327 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.328 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540371487.329 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540371487.329 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371487.329 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1540371487.329 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1540371487.329 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1540371487.329 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371487.329 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371487.329 * [misc]taylor: Taking taylor expansion of N in N 1540371487.329 * [misc]backup-simplify: Simplify 0 into 0 1540371487.329 * [misc]backup-simplify: Simplify 1 into 1 1540371487.329 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371487.329 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.329 * [misc]taylor: Taking taylor expansion of N in N 1540371487.329 * [misc]backup-simplify: Simplify 0 into 0 1540371487.329 * [misc]backup-simplify: Simplify 1 into 1 1540371487.330 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.330 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.330 * [misc]backup-simplify: Simplify 1 into 1 1540371487.330 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.330 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371487.330 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.330 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.331 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371487.331 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.331 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.331 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371487.332 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371487.332 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371487.332 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371487.332 * [misc]taylor: Taking taylor expansion of N in N 1540371487.332 * [misc]backup-simplify: Simplify 0 into 0 1540371487.332 * [misc]backup-simplify: Simplify 1 into 1 1540371487.332 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371487.332 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.332 * [misc]taylor: Taking taylor expansion of N in N 1540371487.332 * [misc]backup-simplify: Simplify 0 into 0 1540371487.332 * [misc]backup-simplify: Simplify 1 into 1 1540371487.332 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.332 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.332 * [misc]backup-simplify: Simplify 1 into 1 1540371487.332 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.332 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371487.332 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.333 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.333 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371487.333 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.333 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.333 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.334 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371487.334 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371487.334 * [misc]backup-simplify: Simplify 1 into 1 1540371487.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540371487.334 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.335 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540371487.336 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1540371487.336 * [misc]backup-simplify: Simplify -1/8 into -1/8 1540371487.336 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371487.336 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1540371487.336 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1540371487.336 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371487.336 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371487.336 * [misc]taylor: Taking taylor expansion of -1 in N 1540371487.336 * [misc]backup-simplify: Simplify -1 into -1 1540371487.336 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371487.337 * [misc]taylor: Taking taylor expansion of N in N 1540371487.337 * [misc]backup-simplify: Simplify 0 into 0 1540371487.337 * [misc]backup-simplify: Simplify 1 into 1 1540371487.337 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371487.337 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.337 * [misc]backup-simplify: Simplify 1 into 1 1540371487.337 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.337 * [misc]taylor: Taking taylor expansion of N in N 1540371487.337 * [misc]backup-simplify: Simplify 0 into 0 1540371487.337 * [misc]backup-simplify: Simplify 1 into 1 1540371487.337 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.337 * [misc]backup-simplify: Simplify (- 1) into -1 1540371487.337 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371487.337 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371487.337 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371487.338 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.338 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.338 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.338 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371487.338 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371487.338 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.339 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.339 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.339 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.339 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371487.340 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371487.340 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371487.340 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371487.340 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371487.340 * [misc]taylor: Taking taylor expansion of -1 in N 1540371487.340 * [misc]backup-simplify: Simplify -1 into -1 1540371487.340 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371487.340 * [misc]taylor: Taking taylor expansion of N in N 1540371487.340 * [misc]backup-simplify: Simplify 0 into 0 1540371487.340 * [misc]backup-simplify: Simplify 1 into 1 1540371487.340 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371487.340 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.340 * [misc]backup-simplify: Simplify 1 into 1 1540371487.340 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.340 * [misc]taylor: Taking taylor expansion of N in N 1540371487.340 * [misc]backup-simplify: Simplify 0 into 0 1540371487.340 * [misc]backup-simplify: Simplify 1 into 1 1540371487.340 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.340 * [misc]backup-simplify: Simplify (- 1) into -1 1540371487.341 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371487.341 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371487.341 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371487.341 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.341 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.341 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.342 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371487.342 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371487.342 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.342 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.342 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.342 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.343 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371487.343 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371487.343 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371487.343 * [misc]backup-simplify: Simplify 1 into 1 1540371487.343 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371487.344 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.344 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.344 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.344 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540371487.345 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540371487.346 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1540371487.346 * [misc]backup-simplify: Simplify -1/8 into -1/8 1540371487.346 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371487.346 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1540371487.346 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 1540371487.346 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1540371487.346 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371487.346 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371487.346 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371487.346 * [misc]taylor: Taking taylor expansion of N in N 1540371487.346 * [misc]backup-simplify: Simplify 0 into 0 1540371487.346 * [misc]backup-simplify: Simplify 1 into 1 1540371487.346 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.346 * [misc]backup-simplify: Simplify 1 into 1 1540371487.346 * [misc]taylor: Taking taylor expansion of N in N 1540371487.346 * [misc]backup-simplify: Simplify 0 into 0 1540371487.346 * [misc]backup-simplify: Simplify 1 into 1 1540371487.347 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.347 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.347 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371487.347 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371487.348 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371487.348 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371487.348 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371487.348 * [misc]taylor: Taking taylor expansion of N in N 1540371487.348 * [misc]backup-simplify: Simplify 0 into 0 1540371487.348 * [misc]backup-simplify: Simplify 1 into 1 1540371487.348 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.348 * [misc]backup-simplify: Simplify 1 into 1 1540371487.348 * [misc]taylor: Taking taylor expansion of N in N 1540371487.348 * [misc]backup-simplify: Simplify 0 into 0 1540371487.348 * [misc]backup-simplify: Simplify 1 into 1 1540371487.348 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.348 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.348 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371487.349 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371487.349 * [misc]backup-simplify: Simplify 0 into 0 1540371487.349 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371487.349 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.350 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540371487.351 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540371487.351 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371487.351 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.351 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540371487.352 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540371487.352 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371487.353 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1540371487.353 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1540371487.353 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1540371487.353 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371487.353 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371487.353 * [misc]taylor: Taking taylor expansion of N in N 1540371487.353 * [misc]backup-simplify: Simplify 0 into 0 1540371487.353 * [misc]backup-simplify: Simplify 1 into 1 1540371487.353 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371487.353 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.353 * [misc]taylor: Taking taylor expansion of N in N 1540371487.353 * [misc]backup-simplify: Simplify 0 into 0 1540371487.353 * [misc]backup-simplify: Simplify 1 into 1 1540371487.353 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.353 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.353 * [misc]backup-simplify: Simplify 1 into 1 1540371487.353 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.353 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371487.354 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.354 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.354 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371487.354 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.354 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.355 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.355 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371487.355 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371487.355 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371487.355 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371487.355 * [misc]taylor: Taking taylor expansion of N in N 1540371487.355 * [misc]backup-simplify: Simplify 0 into 0 1540371487.355 * [misc]backup-simplify: Simplify 1 into 1 1540371487.355 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371487.355 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.355 * [misc]taylor: Taking taylor expansion of N in N 1540371487.355 * [misc]backup-simplify: Simplify 0 into 0 1540371487.355 * [misc]backup-simplify: Simplify 1 into 1 1540371487.355 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.356 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.356 * [misc]backup-simplify: Simplify 1 into 1 1540371487.356 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.356 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371487.356 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.356 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371487.356 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371487.357 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.357 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.357 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.357 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371487.357 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371487.358 * [misc]backup-simplify: Simplify 1 into 1 1540371487.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540371487.358 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.358 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.358 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540371487.360 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1540371487.360 * [misc]backup-simplify: Simplify -1/8 into -1/8 1540371487.360 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371487.361 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1540371487.361 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1540371487.361 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371487.361 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371487.361 * [misc]taylor: Taking taylor expansion of -1 in N 1540371487.361 * [misc]backup-simplify: Simplify -1 into -1 1540371487.361 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371487.361 * [misc]taylor: Taking taylor expansion of N in N 1540371487.361 * [misc]backup-simplify: Simplify 0 into 0 1540371487.361 * [misc]backup-simplify: Simplify 1 into 1 1540371487.361 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371487.361 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.361 * [misc]backup-simplify: Simplify 1 into 1 1540371487.361 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.361 * [misc]taylor: Taking taylor expansion of N in N 1540371487.361 * [misc]backup-simplify: Simplify 0 into 0 1540371487.361 * [misc]backup-simplify: Simplify 1 into 1 1540371487.361 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.361 * [misc]backup-simplify: Simplify (- 1) into -1 1540371487.362 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371487.362 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371487.362 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371487.362 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.362 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.362 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.362 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371487.362 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371487.362 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.363 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.363 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.363 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.363 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371487.363 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371487.363 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371487.363 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371487.363 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371487.363 * [misc]taylor: Taking taylor expansion of -1 in N 1540371487.363 * [misc]backup-simplify: Simplify -1 into -1 1540371487.363 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371487.363 * [misc]taylor: Taking taylor expansion of N in N 1540371487.363 * [misc]backup-simplify: Simplify 0 into 0 1540371487.363 * [misc]backup-simplify: Simplify 1 into 1 1540371487.363 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371487.363 * [misc]taylor: Taking taylor expansion of 1 in N 1540371487.363 * [misc]backup-simplify: Simplify 1 into 1 1540371487.363 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371487.363 * [misc]taylor: Taking taylor expansion of N in N 1540371487.363 * [misc]backup-simplify: Simplify 0 into 0 1540371487.364 * [misc]backup-simplify: Simplify 1 into 1 1540371487.364 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371487.364 * [misc]backup-simplify: Simplify (- 1) into -1 1540371487.364 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371487.364 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371487.364 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371487.364 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371487.364 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.364 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371487.364 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371487.365 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371487.365 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371487.365 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.365 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.365 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.365 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371487.365 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371487.365 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371487.366 * [misc]backup-simplify: Simplify 1 into 1 1540371487.366 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371487.366 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371487.366 * [misc]backup-simplify: Simplify (- 0) into 0 1540371487.366 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371487.366 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540371487.366 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540371487.367 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1540371487.367 * [misc]backup-simplify: Simplify -1/8 into -1/8 1540371487.367 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371487.368 * * * [misc]progress: simplifying candidates 1540371487.368 * * * * [misc]progress: [ 1 / 84 ] simplifiying candidate # 1540371487.368 * * * * [misc]progress: [ 2 / 84 ] simplifiying candidate # 1540371487.368 * * * * [misc]progress: [ 3 / 84 ] simplifiying candidate # 1540371487.368 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1540371487.368 * * [misc]simplify: iters left: 6 (8 enodes) 1540371487.369 * * [misc]simplify: iters left: 5 (13 enodes) 1540371487.371 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1540371487.371 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))))) 1540371487.371 * * * * [misc]progress: [ 4 / 84 ] simplifiying candidate # 1540371487.371 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1540371487.371 * * [misc]simplify: iters left: 6 (8 enodes) 1540371487.372 * * [misc]simplify: iters left: 5 (12 enodes) 1540371487.374 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1540371487.374 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))))) 1540371487.374 * * * * [misc]progress: [ 5 / 84 ] simplifiying candidate # 1540371487.374 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1540371487.374 * * [misc]simplify: iters left: 6 (7 enodes) 1540371487.375 * * [misc]simplify: iters left: 5 (10 enodes) 1540371487.377 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1540371487.377 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1540371487.377 * * * * [misc]progress: [ 6 / 84 ] simplifiying candidate # 1540371487.377 * [enter]simplify: Simplifying (log (sqrt 1)) 1540371487.377 * * [misc]simplify: iters left: 2 (3 enodes) 1540371487.378 * * [misc]simplify: iters left: 1 (5 enodes) 1540371487.378 * [exit]simplify: Simplified to 0 1540371487.379 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1540371487.379 * * * * [misc]progress: [ 7 / 84 ] simplifiying candidate # 1540371487.379 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1540371487.379 * * [misc]simplify: iters left: 4 (5 enodes) 1540371487.380 * * [misc]simplify: iters left: 3 (8 enodes) 1540371487.381 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1540371487.381 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))))) 1540371487.381 * * * * [misc]progress: [ 8 / 84 ] simplifiying candidate # 1540371487.381 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1540371487.381 * * [misc]simplify: iters left: 6 (7 enodes) 1540371487.382 * * [misc]simplify: iters left: 5 (10 enodes) 1540371487.383 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1540371487.383 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1540371487.383 * * * * [misc]progress: [ 9 / 84 ] simplifiying candidate # 1540371487.383 * [enter]simplify: Simplifying (log 1) 1540371487.384 * * [misc]simplify: iters left: 1 (2 enodes) 1540371487.384 * [exit]simplify: Simplified to 0 1540371487.384 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1540371487.384 * * * * [misc]progress: [ 10 / 84 ] simplifiying candidate # 1540371487.385 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1540371487.385 * * [misc]simplify: iters left: 4 (5 enodes) 1540371487.385 * * [misc]simplify: iters left: 3 (8 enodes) 1540371487.386 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1540371487.386 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (- (log (sqrt (+ N 1))) (log (sqrt N))))) 1540371487.386 * * * * [misc]progress: [ 11 / 84 ] simplifiying candidate # 1540371487.386 * * * * [misc]progress: [ 12 / 84 ] simplifiying candidate # 1540371487.387 * * * * [misc]progress: [ 13 / 84 ] simplifiying candidate # 1540371487.387 * * * * [misc]progress: [ 14 / 84 ] simplifiying candidate # 1540371487.387 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1540371487.387 * * [misc]simplify: iters left: 5 (5 enodes) 1540371487.388 * * [misc]simplify: iters left: 4 (8 enodes) 1540371487.390 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1540371487.390 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1540371487.390 * * * * [misc]progress: [ 15 / 84 ] simplifiying candidate # 1540371487.390 * * * * [misc]progress: [ 16 / 84 ] simplifiying candidate # 1540371487.390 * * * * [misc]progress: [ 17 / 84 ] simplifiying candidate # 1540371487.390 * * * * [misc]progress: [ 18 / 84 ] simplifiying candidate # 1540371487.390 * * * * [misc]progress: [ 19 / 84 ] simplifiying candidate # 1540371487.390 * * * * [misc]progress: [ 20 / 84 ] simplifiying candidate # 1540371487.390 * * * * [misc]progress: [ 21 / 84 ] simplifiying candidate # 1540371487.390 * * * * [misc]progress: [ 22 / 84 ] simplifiying candidate # 1540371487.390 * * * * [misc]progress: [ 23 / 84 ] simplifiying candidate # 1540371487.391 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1540371487.391 * * [misc]simplify: iters left: 6 (8 enodes) 1540371487.393 * * [misc]simplify: iters left: 5 (13 enodes) 1540371487.396 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1540371487.396 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.396 * * * * [misc]progress: [ 24 / 84 ] simplifiying candidate # 1540371487.396 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1540371487.396 * * [misc]simplify: iters left: 6 (8 enodes) 1540371487.399 * * [misc]simplify: iters left: 5 (12 enodes) 1540371487.401 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1540371487.401 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.402 * * * * [misc]progress: [ 25 / 84 ] simplifiying candidate # 1540371487.402 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1540371487.402 * * [misc]simplify: iters left: 6 (7 enodes) 1540371487.404 * * [misc]simplify: iters left: 5 (10 enodes) 1540371487.406 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1540371487.406 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.406 * * * * [misc]progress: [ 26 / 84 ] simplifiying candidate # 1540371487.406 * [enter]simplify: Simplifying (log (sqrt 1)) 1540371487.407 * * [misc]simplify: iters left: 2 (3 enodes) 1540371487.408 * * [misc]simplify: iters left: 1 (5 enodes) 1540371487.409 * [exit]simplify: Simplified to 0 1540371487.409 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.409 * * * * [misc]progress: [ 27 / 84 ] simplifiying candidate # 1540371487.410 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1540371487.410 * * [misc]simplify: iters left: 4 (5 enodes) 1540371487.411 * * [misc]simplify: iters left: 3 (8 enodes) 1540371487.413 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1540371487.413 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.413 * * * * [misc]progress: [ 28 / 84 ] simplifiying candidate # 1540371487.413 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1540371487.413 * * [misc]simplify: iters left: 6 (7 enodes) 1540371487.415 * * [misc]simplify: iters left: 5 (10 enodes) 1540371487.418 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1540371487.418 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.418 * * * * [misc]progress: [ 29 / 84 ] simplifiying candidate # 1540371487.418 * [enter]simplify: Simplifying (log 1) 1540371487.418 * * [misc]simplify: iters left: 1 (2 enodes) 1540371487.419 * [exit]simplify: Simplified to 0 1540371487.419 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ 0 (log (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.419 * * * * [misc]progress: [ 30 / 84 ] simplifiying candidate # 1540371487.419 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1540371487.419 * * [misc]simplify: iters left: 4 (5 enodes) 1540371487.421 * * [misc]simplify: iters left: 3 (8 enodes) 1540371487.422 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1540371487.422 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (sqrt (+ N 1))) (log (sqrt N))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.423 * * * * [misc]progress: [ 31 / 84 ] simplifiying candidate # 1540371487.423 * * * * [misc]progress: [ 32 / 84 ] simplifiying candidate # 1540371487.423 * * * * [misc]progress: [ 33 / 84 ] simplifiying candidate # 1540371487.423 * * * * [misc]progress: [ 34 / 84 ] simplifiying candidate # 1540371487.423 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1540371487.423 * * [misc]simplify: iters left: 5 (5 enodes) 1540371487.424 * * [misc]simplify: iters left: 4 (8 enodes) 1540371487.426 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1540371487.426 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.426 * * * * [misc]progress: [ 35 / 84 ] simplifiying candidate # 1540371487.426 * * * * [misc]progress: [ 36 / 84 ] simplifiying candidate # 1540371487.426 * * * * [misc]progress: [ 37 / 84 ] simplifiying candidate # 1540371487.426 * * * * [misc]progress: [ 38 / 84 ] simplifiying candidate # 1540371487.426 * * * * [misc]progress: [ 39 / 84 ] simplifiying candidate # 1540371487.427 * * * * [misc]progress: [ 40 / 84 ] simplifiying candidate # 1540371487.427 * * * * [misc]progress: [ 41 / 84 ] simplifiying candidate # 1540371487.427 * * * * [misc]progress: [ 42 / 84 ] simplifiying candidate # 1540371487.427 * * * * [misc]progress: [ 43 / 84 ] simplifiying candidate # 1540371487.427 * * * * [misc]progress: [ 44 / 84 ] simplifiying candidate # 1540371487.427 * * * * [misc]progress: [ 45 / 84 ] simplifiying candidate # 1540371487.427 * * * * [misc]progress: [ 46 / 84 ] simplifiying candidate # 1540371487.427 * * * * [misc]progress: [ 47 / 84 ] simplifiying candidate # 1540371487.427 * * * * [misc]progress: [ 48 / 84 ] simplifiying candidate # 1540371487.427 * * * * [misc]progress: [ 49 / 84 ] simplifiying candidate # 1540371487.427 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1540371487.427 * * [misc]simplify: iters left: 6 (7 enodes) 1540371487.429 * * [misc]simplify: iters left: 5 (11 enodes) 1540371487.432 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ N 1) N))) 1540371487.432 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ 1 N) N))))))) 1540371487.432 * * * * [misc]progress: [ 50 / 84 ] simplifiying candidate # 1540371487.432 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 N) N))) 1540371487.432 * * [misc]simplify: iters left: 6 (6 enodes) 1540371487.434 * * [misc]simplify: iters left: 5 (9 enodes) 1540371487.436 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ N 1) N))) 1540371487.436 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ 1 N) N))))))) 1540371487.436 * * * * [misc]progress: [ 51 / 84 ] simplifiying candidate # 1540371487.436 * [enter]simplify: Simplifying (sqrt 1) 1540371487.436 * * [misc]simplify: iters left: 1 (2 enodes) 1540371487.438 * [exit]simplify: Simplified to 1 1540371487.438 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* 1 (sqrt (/ (+ 1 N) N)))))) 1540371487.438 * * * * [misc]progress: [ 52 / 84 ] simplifiying candidate # 1540371487.438 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1540371487.438 * * [misc]simplify: iters left: 3 (4 enodes) 1540371487.439 * * [misc]simplify: iters left: 2 (7 enodes) 1540371487.441 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1540371487.441 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (* (sqrt (+ N 1)) (sqrt (/ 1 N)))))) 1540371487.441 * * * * [misc]progress: [ 53 / 84 ] simplifiying candidate # 1540371487.441 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1540371487.441 * * [misc]simplify: iters left: 3 (4 enodes) 1540371487.442 * * [misc]simplify: iters left: 2 (7 enodes) 1540371487.444 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1540371487.444 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (/ (sqrt (+ N 1)) (sqrt N))))) 1540371487.444 * * * * [misc]progress: [ 54 / 84 ] simplifiying candidate # 1540371487.444 * * * * [misc]progress: [ 55 / 84 ] simplifiying candidate # 1540371487.444 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1540371487.444 * * [misc]simplify: iters left: 5 (5 enodes) 1540371487.446 * * [misc]simplify: iters left: 4 (8 enodes) 1540371487.448 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1540371487.448 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (fabs (sqrt (/ (+ N 1) N)))))) 1540371487.448 * * * * [misc]progress: [ 56 / 84 ] simplifiying candidate # 1540371487.448 * * * * [misc]progress: [ 57 / 84 ] simplifiying candidate # 1540371487.448 * * * * [misc]progress: [ 58 / 84 ] simplifiying candidate # 1540371487.448 * * * * [misc]progress: [ 59 / 84 ] simplifiying candidate # 1540371487.448 * * * * [misc]progress: [ 60 / 84 ] simplifiying candidate # 1540371487.448 * * * * [misc]progress: [ 61 / 84 ] simplifiying candidate # 1540371487.448 * * * * [misc]progress: [ 62 / 84 ] simplifiying candidate # 1540371487.448 * * * * [misc]progress: [ 63 / 84 ] simplifiying candidate # 1540371487.448 * * * * [misc]progress: [ 64 / 84 ] simplifiying candidate # 1540371487.448 * * * * [misc]progress: [ 65 / 84 ] simplifiying candidate # 1540371487.449 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1540371487.449 * * [misc]simplify: iters left: 6 (7 enodes) 1540371487.451 * * [misc]simplify: iters left: 5 (11 enodes) 1540371487.453 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ N 1) N))) 1540371487.453 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.453 * * * * [misc]progress: [ 66 / 84 ] simplifiying candidate # 1540371487.454 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 N) N))) 1540371487.454 * * [misc]simplify: iters left: 6 (6 enodes) 1540371487.456 * * [misc]simplify: iters left: 5 (9 enodes) 1540371487.458 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ N 1) N))) 1540371487.458 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.458 * * * * [misc]progress: [ 67 / 84 ] simplifiying candidate # 1540371487.458 * [enter]simplify: Simplifying (sqrt 1) 1540371487.458 * * [misc]simplify: iters left: 1 (2 enodes) 1540371487.459 * [exit]simplify: Simplified to 1 1540371487.459 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* 1 (sqrt (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.459 * * * * [misc]progress: [ 68 / 84 ] simplifiying candidate # 1540371487.460 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1540371487.460 * * [misc]simplify: iters left: 3 (4 enodes) 1540371487.461 * * [misc]simplify: iters left: 2 (7 enodes) 1540371487.462 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1540371487.462 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (* (sqrt (+ N 1)) (sqrt (/ 1 N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.462 * * * * [misc]progress: [ 69 / 84 ] simplifiying candidate # 1540371487.463 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1540371487.463 * * [misc]simplify: iters left: 3 (4 enodes) 1540371487.464 * * [misc]simplify: iters left: 2 (7 enodes) 1540371487.466 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1540371487.466 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.466 * * * * [misc]progress: [ 70 / 84 ] simplifiying candidate # 1540371487.466 * * * * [misc]progress: [ 71 / 84 ] simplifiying candidate # 1540371487.466 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1540371487.466 * * [misc]simplify: iters left: 5 (5 enodes) 1540371487.467 * * [misc]simplify: iters left: 4 (8 enodes) 1540371487.469 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1540371487.469 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (+ (log (fabs (sqrt (/ (+ N 1) N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371487.469 * * * * [misc]progress: [ 72 / 84 ] simplifiying candidate # 1540371487.469 * * * * [misc]progress: [ 73 / 84 ] simplifiying candidate # 1540371487.470 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1540371487.470 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) +nan.0)) 1540371487.470 * * * * [misc]progress: [ 74 / 84 ] simplifiying candidate # 1540371487.470 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371487.471 * * [misc]simplify: iters left: 6 (17 enodes) 1540371487.478 * * [misc]simplify: iters left: 5 (37 enodes) 1540371487.496 * * [misc]simplify: iters left: 4 (72 enodes) 1540371487.515 * * [misc]simplify: iters left: 3 (126 enodes) 1540371487.550 * * [misc]simplify: iters left: 2 (206 enodes) 1540371487.608 * * [misc]simplify: iters left: 1 (294 enodes) 1540371487.737 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1540371487.738 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1540371487.738 * * * * [misc]progress: [ 75 / 84 ] simplifiying candidate # 1540371487.740 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371487.740 * * [misc]simplify: iters left: 6 (17 enodes) 1540371487.748 * * [misc]simplify: iters left: 5 (37 enodes) 1540371487.764 * * [misc]simplify: iters left: 4 (72 enodes) 1540371487.790 * * [misc]simplify: iters left: 3 (126 enodes) 1540371487.845 * * [misc]simplify: iters left: 2 (206 enodes) 1540371487.907 * * [misc]simplify: iters left: 1 (294 enodes) 1540371488.026 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1540371488.026 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1540371488.027 * * * * [misc]progress: [ 76 / 84 ] simplifiying candidate # 1540371488.027 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1540371488.027 * [misc]simplify: Simplified (2 1) to (λ (N) (+ +nan.0 (log (sqrt (/ (+ 1 N) N))))) 1540371488.027 * * * * [misc]progress: [ 77 / 84 ] simplifiying candidate # 1540371488.027 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371488.027 * * [misc]simplify: iters left: 6 (17 enodes) 1540371488.031 * * [misc]simplify: iters left: 5 (37 enodes) 1540371488.040 * * [misc]simplify: iters left: 4 (72 enodes) 1540371488.059 * * [misc]simplify: iters left: 3 (126 enodes) 1540371488.097 * * [misc]simplify: iters left: 2 (206 enodes) 1540371488.144 * * [misc]simplify: iters left: 1 (294 enodes) 1540371488.230 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1540371488.230 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) (log (sqrt (/ (+ 1 N) N))))) 1540371488.230 * * * * [misc]progress: [ 78 / 84 ] simplifiying candidate # 1540371488.230 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371488.230 * * [misc]simplify: iters left: 6 (17 enodes) 1540371488.234 * * [misc]simplify: iters left: 5 (37 enodes) 1540371488.246 * * [misc]simplify: iters left: 4 (72 enodes) 1540371488.269 * * [misc]simplify: iters left: 3 (126 enodes) 1540371488.297 * * [misc]simplify: iters left: 2 (206 enodes) 1540371488.334 * * [misc]simplify: iters left: 1 (294 enodes) 1540371488.414 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1540371488.414 * [misc]simplify: Simplified (2 1) to (λ (N) (+ (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) (log (sqrt (/ (+ 1 N) N))))) 1540371488.414 * * * * [misc]progress: [ 79 / 84 ] simplifiying candidate # 1540371488.414 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1540371488.414 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log +nan.0))) 1540371488.414 * * * * [misc]progress: [ 80 / 84 ] simplifiying candidate # 1540371488.414 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371488.414 * * [misc]simplify: iters left: 6 (12 enodes) 1540371488.418 * * [misc]simplify: iters left: 5 (27 enodes) 1540371488.424 * * [misc]simplify: iters left: 4 (52 enodes) 1540371488.437 * * [misc]simplify: iters left: 3 (90 enodes) 1540371488.455 * * [misc]simplify: iters left: 2 (135 enodes) 1540371488.483 * * [misc]simplify: iters left: 1 (181 enodes) 1540371488.531 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1540371488.531 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1540371488.531 * * * * [misc]progress: [ 81 / 84 ] simplifiying candidate # 1540371488.532 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371488.532 * * [misc]simplify: iters left: 6 (12 enodes) 1540371488.537 * * [misc]simplify: iters left: 5 (27 enodes) 1540371488.549 * * [misc]simplify: iters left: 4 (52 enodes) 1540371488.568 * * [misc]simplify: iters left: 3 (90 enodes) 1540371488.586 * * [misc]simplify: iters left: 2 (135 enodes) 1540371488.608 * * [misc]simplify: iters left: 1 (181 enodes) 1540371488.649 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1540371488.649 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1540371488.649 * * * * [misc]progress: [ 82 / 84 ] simplifiying candidate # 1540371488.650 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1540371488.650 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log +nan.0) (log (sqrt (/ (+ 1 N) N))))) 1540371488.650 * * * * [misc]progress: [ 83 / 84 ] simplifiying candidate # 1540371488.650 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371488.650 * * [misc]simplify: iters left: 6 (12 enodes) 1540371488.655 * * [misc]simplify: iters left: 5 (27 enodes) 1540371488.666 * * [misc]simplify: iters left: 4 (52 enodes) 1540371488.686 * * [misc]simplify: iters left: 3 (90 enodes) 1540371488.723 * * [misc]simplify: iters left: 2 (135 enodes) 1540371488.759 * * [misc]simplify: iters left: 1 (181 enodes) 1540371488.806 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1540371488.806 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371488.806 * * * * [misc]progress: [ 84 / 84 ] simplifiying candidate # 1540371488.806 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371488.806 * * [misc]simplify: iters left: 6 (12 enodes) 1540371488.812 * * [misc]simplify: iters left: 5 (27 enodes) 1540371488.823 * * [misc]simplify: iters left: 4 (52 enodes) 1540371488.840 * * [misc]simplify: iters left: 3 (90 enodes) 1540371488.864 * * [misc]simplify: iters left: 2 (135 enodes) 1540371488.885 * * [misc]simplify: iters left: 1 (181 enodes) 1540371488.912 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1540371488.912 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371488.912 * * * [misc]progress: adding candidates to table 1540371489.554 * * [misc]progress: iteration 4 / 4 1540371489.554 * * * [misc]progress: picking best candidate 1540371489.576 * * * * [misc]pick: Picked # 1540371489.576 * * * [misc]progress: localizing error 1540371489.587 * * * [misc]progress: generating rewritten candidates 1540371489.587 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1540371489.590 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) 1540371489.592 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1540371489.593 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) 1540371489.597 * * * [misc]progress: generating series expansions 1540371489.597 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1540371489.597 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 N) N))) into (log (sqrt (/ (+ N 1) N))) 1540371489.597 * [misc]approximate: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 1540371489.597 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1540371489.597 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371489.597 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371489.597 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371489.597 * [misc]taylor: Taking taylor expansion of N in N 1540371489.597 * [misc]backup-simplify: Simplify 0 into 0 1540371489.597 * [misc]backup-simplify: Simplify 1 into 1 1540371489.597 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.597 * [misc]backup-simplify: Simplify 1 into 1 1540371489.597 * [misc]taylor: Taking taylor expansion of N in N 1540371489.597 * [misc]backup-simplify: Simplify 0 into 0 1540371489.597 * [misc]backup-simplify: Simplify 1 into 1 1540371489.597 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.598 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.598 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371489.598 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371489.598 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1540371489.598 * [misc]taylor: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 1540371489.598 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371489.598 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371489.598 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371489.598 * [misc]taylor: Taking taylor expansion of N in N 1540371489.598 * [misc]backup-simplify: Simplify 0 into 0 1540371489.598 * [misc]backup-simplify: Simplify 1 into 1 1540371489.598 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.598 * [misc]backup-simplify: Simplify 1 into 1 1540371489.598 * [misc]taylor: Taking taylor expansion of N in N 1540371489.598 * [misc]backup-simplify: Simplify 0 into 0 1540371489.598 * [misc]backup-simplify: Simplify 1 into 1 1540371489.598 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.599 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.599 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371489.599 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371489.599 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1540371489.599 * [misc]backup-simplify: Simplify (log +nan.0) into (log +nan.0) 1540371489.599 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.599 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540371489.603 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540371489.604 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1540371489.605 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371489.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.605 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540371489.606 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540371489.608 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1540371489.608 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371489.608 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1540371489.608 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 1540371489.608 * [misc]approximate: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 1540371489.608 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1540371489.608 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371489.608 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371489.608 * [misc]taylor: Taking taylor expansion of N in N 1540371489.609 * [misc]backup-simplify: Simplify 0 into 0 1540371489.609 * [misc]backup-simplify: Simplify 1 into 1 1540371489.609 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371489.609 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.609 * [misc]taylor: Taking taylor expansion of N in N 1540371489.609 * [misc]backup-simplify: Simplify 0 into 0 1540371489.609 * [misc]backup-simplify: Simplify 1 into 1 1540371489.609 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.609 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.609 * [misc]backup-simplify: Simplify 1 into 1 1540371489.609 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.609 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371489.609 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.609 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.609 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371489.609 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371489.610 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.610 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.610 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371489.610 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371489.610 * [misc]backup-simplify: Simplify (log 1) into 0 1540371489.610 * [misc]taylor: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 1540371489.610 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371489.610 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371489.610 * [misc]taylor: Taking taylor expansion of N in N 1540371489.610 * [misc]backup-simplify: Simplify 0 into 0 1540371489.610 * [misc]backup-simplify: Simplify 1 into 1 1540371489.610 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371489.610 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.610 * [misc]taylor: Taking taylor expansion of N in N 1540371489.610 * [misc]backup-simplify: Simplify 0 into 0 1540371489.610 * [misc]backup-simplify: Simplify 1 into 1 1540371489.610 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.610 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.610 * [misc]backup-simplify: Simplify 1 into 1 1540371489.611 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.611 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371489.611 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.611 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.611 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371489.611 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371489.611 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.611 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.612 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371489.612 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371489.612 * [misc]backup-simplify: Simplify (log 1) into 0 1540371489.612 * [misc]backup-simplify: Simplify 0 into 0 1540371489.613 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 1540371489.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540371489.614 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.614 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.614 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540371489.615 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1540371489.617 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1540371489.617 * [misc]backup-simplify: Simplify -1/4 into -1/4 1540371489.617 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.618 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1540371489.618 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 1540371489.622 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 1540371489.622 * [misc]backup-simplify: Simplify 1/6 into 1/6 1540371489.622 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371489.622 * [misc]backup-simplify: Simplify (log (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) 1540371489.622 * [misc]approximate: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in (N) around 0 1540371489.622 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1540371489.622 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371489.622 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371489.622 * [misc]taylor: Taking taylor expansion of -1 in N 1540371489.622 * [misc]backup-simplify: Simplify -1 into -1 1540371489.622 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371489.622 * [misc]taylor: Taking taylor expansion of N in N 1540371489.622 * [misc]backup-simplify: Simplify 0 into 0 1540371489.622 * [misc]backup-simplify: Simplify 1 into 1 1540371489.622 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371489.622 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.622 * [misc]backup-simplify: Simplify 1 into 1 1540371489.622 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.622 * [misc]taylor: Taking taylor expansion of N in N 1540371489.622 * [misc]backup-simplify: Simplify 0 into 0 1540371489.622 * [misc]backup-simplify: Simplify 1 into 1 1540371489.623 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.623 * [misc]backup-simplify: Simplify (- 1) into -1 1540371489.623 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371489.623 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371489.623 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371489.623 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.623 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.623 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.624 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371489.624 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371489.624 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371489.625 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.625 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.625 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.625 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371489.626 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371489.626 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371489.626 * [misc]backup-simplify: Simplify (log 1) into 0 1540371489.626 * [misc]taylor: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1 (/ 1 N)))))) in N 1540371489.626 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371489.626 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371489.626 * [misc]taylor: Taking taylor expansion of -1 in N 1540371489.626 * [misc]backup-simplify: Simplify -1 into -1 1540371489.626 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371489.626 * [misc]taylor: Taking taylor expansion of N in N 1540371489.626 * [misc]backup-simplify: Simplify 0 into 0 1540371489.626 * [misc]backup-simplify: Simplify 1 into 1 1540371489.626 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371489.626 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.626 * [misc]backup-simplify: Simplify 1 into 1 1540371489.626 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.626 * [misc]taylor: Taking taylor expansion of N in N 1540371489.626 * [misc]backup-simplify: Simplify 0 into 0 1540371489.626 * [misc]backup-simplify: Simplify 1 into 1 1540371489.627 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.627 * [misc]backup-simplify: Simplify (- 1) into -1 1540371489.627 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371489.627 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371489.627 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371489.627 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.628 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.628 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.628 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371489.628 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371489.628 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371489.629 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.629 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.629 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.629 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371489.630 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371489.630 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371489.630 * [misc]backup-simplify: Simplify (log 1) into 0 1540371489.630 * [misc]backup-simplify: Simplify 0 into 0 1540371489.633 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 1540371489.633 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371489.633 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.633 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.633 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.634 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540371489.634 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540371489.635 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1540371489.639 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 1540371489.639 * [misc]backup-simplify: Simplify -1/4 into -1/4 1540371489.640 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.640 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.640 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.641 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1540371489.641 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1540371489.641 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1540371489.648 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/16) 1)) (pow 1 1)))) 6) into -1/6 1540371489.648 * [misc]backup-simplify: Simplify -1/6 into -1/6 1540371489.649 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 3)) (+ (* -1/4 (pow (/ 1 (- N)) 2)) (* -1/2 (/ 1 (- N))))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371489.649 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) 1540371489.649 * [misc]backup-simplify: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 1540371489.649 * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 1540371489.649 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1540371489.649 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371489.649 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371489.649 * [misc]taylor: Taking taylor expansion of N in N 1540371489.649 * [misc]backup-simplify: Simplify 0 into 0 1540371489.649 * [misc]backup-simplify: Simplify 1 into 1 1540371489.649 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.649 * [misc]backup-simplify: Simplify 1 into 1 1540371489.649 * [misc]taylor: Taking taylor expansion of N in N 1540371489.649 * [misc]backup-simplify: Simplify 0 into 0 1540371489.649 * [misc]backup-simplify: Simplify 1 into 1 1540371489.650 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.650 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.650 * [misc]backup-simplify: Simplify (log 1) into 0 1540371489.650 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N 1540371489.650 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371489.650 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371489.650 * [misc]taylor: Taking taylor expansion of N in N 1540371489.650 * [misc]backup-simplify: Simplify 0 into 0 1540371489.650 * [misc]backup-simplify: Simplify 1 into 1 1540371489.650 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.650 * [misc]backup-simplify: Simplify 1 into 1 1540371489.650 * [misc]taylor: Taking taylor expansion of N in N 1540371489.650 * [misc]backup-simplify: Simplify 0 into 0 1540371489.650 * [misc]backup-simplify: Simplify 1 into 1 1540371489.650 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.651 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.651 * [misc]backup-simplify: Simplify (log 1) into 0 1540371489.651 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1540371489.651 * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) 1540371489.651 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.652 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540371489.654 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540371489.654 * [misc]backup-simplify: Simplify 1 into 1 1540371489.654 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.655 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540371489.659 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1540371489.659 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371489.659 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 1540371489.659 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 1540371489.660 * [misc]approximate: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 1540371489.660 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1540371489.660 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371489.660 * [misc]taylor: Taking taylor expansion of N in N 1540371489.660 * [misc]backup-simplify: Simplify 0 into 0 1540371489.660 * [misc]backup-simplify: Simplify 1 into 1 1540371489.660 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371489.660 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.660 * [misc]taylor: Taking taylor expansion of N in N 1540371489.660 * [misc]backup-simplify: Simplify 0 into 0 1540371489.660 * [misc]backup-simplify: Simplify 1 into 1 1540371489.660 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.660 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.660 * [misc]backup-simplify: Simplify 1 into 1 1540371489.660 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.660 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371489.661 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.661 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.661 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371489.661 * [misc]backup-simplify: Simplify (log 1) into 0 1540371489.661 * [misc]taylor: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 1540371489.661 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371489.661 * [misc]taylor: Taking taylor expansion of N in N 1540371489.661 * [misc]backup-simplify: Simplify 0 into 0 1540371489.661 * [misc]backup-simplify: Simplify 1 into 1 1540371489.661 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371489.661 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.661 * [misc]taylor: Taking taylor expansion of N in N 1540371489.661 * [misc]backup-simplify: Simplify 0 into 0 1540371489.661 * [misc]backup-simplify: Simplify 1 into 1 1540371489.662 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.662 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.662 * [misc]backup-simplify: Simplify 1 into 1 1540371489.662 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.662 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371489.662 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.662 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.663 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371489.663 * [misc]backup-simplify: Simplify (log 1) into 0 1540371489.663 * [misc]backup-simplify: Simplify 0 into 0 1540371489.663 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.663 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.664 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371489.666 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1540371489.666 * [misc]backup-simplify: Simplify 1 into 1 1540371489.667 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.667 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.667 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540371489.671 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1540371489.671 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371489.672 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.672 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.672 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1540371489.678 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 1540371489.678 * [misc]backup-simplify: Simplify 1/3 into 1/3 1540371489.678 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371489.678 * [misc]backup-simplify: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 1540371489.678 * [misc]approximate: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1540371489.678 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1540371489.678 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371489.678 * [misc]taylor: Taking taylor expansion of -1 in N 1540371489.678 * [misc]backup-simplify: Simplify -1 into -1 1540371489.678 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371489.678 * [misc]taylor: Taking taylor expansion of N in N 1540371489.678 * [misc]backup-simplify: Simplify 0 into 0 1540371489.678 * [misc]backup-simplify: Simplify 1 into 1 1540371489.678 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371489.678 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.678 * [misc]backup-simplify: Simplify 1 into 1 1540371489.678 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.678 * [misc]taylor: Taking taylor expansion of N in N 1540371489.678 * [misc]backup-simplify: Simplify 0 into 0 1540371489.678 * [misc]backup-simplify: Simplify 1 into 1 1540371489.679 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.679 * [misc]backup-simplify: Simplify (- 1) into -1 1540371489.679 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371489.679 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371489.679 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371489.679 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.679 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.679 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.679 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371489.680 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371489.680 * [misc]backup-simplify: Simplify (log 1) into 0 1540371489.680 * [misc]taylor: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 1540371489.680 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371489.680 * [misc]taylor: Taking taylor expansion of -1 in N 1540371489.680 * [misc]backup-simplify: Simplify -1 into -1 1540371489.680 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371489.680 * [misc]taylor: Taking taylor expansion of N in N 1540371489.680 * [misc]backup-simplify: Simplify 0 into 0 1540371489.680 * [misc]backup-simplify: Simplify 1 into 1 1540371489.680 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371489.680 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.680 * [misc]backup-simplify: Simplify 1 into 1 1540371489.680 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.680 * [misc]taylor: Taking taylor expansion of N in N 1540371489.680 * [misc]backup-simplify: Simplify 0 into 0 1540371489.680 * [misc]backup-simplify: Simplify 1 into 1 1540371489.680 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.680 * [misc]backup-simplify: Simplify (- 1) into -1 1540371489.680 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371489.680 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371489.680 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371489.681 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.681 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.681 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.681 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371489.681 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371489.681 * [misc]backup-simplify: Simplify (log 1) into 0 1540371489.681 * [misc]backup-simplify: Simplify 0 into 0 1540371489.681 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.681 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.682 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371489.682 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371489.683 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 1540371489.683 * [misc]backup-simplify: Simplify -1 into -1 1540371489.684 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.684 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.684 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.684 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540371489.684 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540371489.687 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1540371489.687 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371489.687 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.687 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.687 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1540371489.688 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1540371489.692 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 1540371489.692 * [misc]backup-simplify: Simplify -1/3 into -1/3 1540371489.692 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371489.692 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1540371489.692 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 N) N)) into (sqrt (/ (+ N 1) N)) 1540371489.692 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 1540371489.693 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371489.693 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371489.693 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371489.693 * [misc]taylor: Taking taylor expansion of N in N 1540371489.693 * [misc]backup-simplify: Simplify 0 into 0 1540371489.693 * [misc]backup-simplify: Simplify 1 into 1 1540371489.693 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.693 * [misc]backup-simplify: Simplify 1 into 1 1540371489.693 * [misc]taylor: Taking taylor expansion of N in N 1540371489.693 * [misc]backup-simplify: Simplify 0 into 0 1540371489.693 * [misc]backup-simplify: Simplify 1 into 1 1540371489.693 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.693 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.693 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371489.693 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371489.694 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 1540371489.694 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371489.694 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371489.694 * [misc]taylor: Taking taylor expansion of N in N 1540371489.694 * [misc]backup-simplify: Simplify 0 into 0 1540371489.694 * [misc]backup-simplify: Simplify 1 into 1 1540371489.694 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.694 * [misc]backup-simplify: Simplify 1 into 1 1540371489.694 * [misc]taylor: Taking taylor expansion of N in N 1540371489.694 * [misc]backup-simplify: Simplify 0 into 0 1540371489.694 * [misc]backup-simplify: Simplify 1 into 1 1540371489.694 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.694 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.694 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540371489.694 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540371489.694 * [misc]backup-simplify: Simplify 0 into 0 1540371489.694 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371489.695 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.695 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540371489.696 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540371489.696 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371489.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.696 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540371489.697 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540371489.697 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540371489.697 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1540371489.697 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 N)) (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 1540371489.697 * [misc]approximate: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 1540371489.697 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371489.697 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371489.697 * [misc]taylor: Taking taylor expansion of N in N 1540371489.697 * [misc]backup-simplify: Simplify 0 into 0 1540371489.697 * [misc]backup-simplify: Simplify 1 into 1 1540371489.697 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371489.697 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.697 * [misc]taylor: Taking taylor expansion of N in N 1540371489.697 * [misc]backup-simplify: Simplify 0 into 0 1540371489.697 * [misc]backup-simplify: Simplify 1 into 1 1540371489.697 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.697 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.697 * [misc]backup-simplify: Simplify 1 into 1 1540371489.698 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.698 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371489.698 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.698 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.698 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371489.698 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371489.698 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.698 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.699 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371489.699 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371489.699 * [misc]taylor: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 1540371489.699 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371489.699 * [misc]taylor: Taking taylor expansion of N in N 1540371489.699 * [misc]backup-simplify: Simplify 0 into 0 1540371489.699 * [misc]backup-simplify: Simplify 1 into 1 1540371489.699 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371489.699 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.699 * [misc]taylor: Taking taylor expansion of N in N 1540371489.699 * [misc]backup-simplify: Simplify 0 into 0 1540371489.699 * [misc]backup-simplify: Simplify 1 into 1 1540371489.699 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.699 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.699 * [misc]backup-simplify: Simplify 1 into 1 1540371489.699 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.699 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371489.700 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.700 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.700 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371489.700 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371489.700 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.700 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371489.700 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1540371489.701 * [misc]backup-simplify: Simplify 1 into 1 1540371489.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540371489.701 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.701 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.701 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540371489.702 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1540371489.702 * [misc]backup-simplify: Simplify -1/8 into -1/8 1540371489.702 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371489.702 * [misc]backup-simplify: Simplify (sqrt (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (sqrt (* -1 (* N (- 1 (/ 1 N))))) 1540371489.702 * [misc]approximate: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 1540371489.702 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371489.702 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371489.702 * [misc]taylor: Taking taylor expansion of -1 in N 1540371489.702 * [misc]backup-simplify: Simplify -1 into -1 1540371489.702 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371489.702 * [misc]taylor: Taking taylor expansion of N in N 1540371489.702 * [misc]backup-simplify: Simplify 0 into 0 1540371489.702 * [misc]backup-simplify: Simplify 1 into 1 1540371489.702 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371489.702 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.702 * [misc]backup-simplify: Simplify 1 into 1 1540371489.702 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.702 * [misc]taylor: Taking taylor expansion of N in N 1540371489.703 * [misc]backup-simplify: Simplify 0 into 0 1540371489.703 * [misc]backup-simplify: Simplify 1 into 1 1540371489.703 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.703 * [misc]backup-simplify: Simplify (- 1) into -1 1540371489.703 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371489.703 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371489.703 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371489.703 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.703 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.703 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.704 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371489.704 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371489.704 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371489.704 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.704 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371489.704 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371489.705 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371489.705 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (* N (- 1 (/ 1 N))))) in N 1540371489.705 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371489.705 * [misc]taylor: Taking taylor expansion of -1 in N 1540371489.705 * [misc]backup-simplify: Simplify -1 into -1 1540371489.705 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371489.705 * [misc]taylor: Taking taylor expansion of N in N 1540371489.705 * [misc]backup-simplify: Simplify 0 into 0 1540371489.705 * [misc]backup-simplify: Simplify 1 into 1 1540371489.705 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371489.705 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.705 * [misc]backup-simplify: Simplify 1 into 1 1540371489.705 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.705 * [misc]taylor: Taking taylor expansion of N in N 1540371489.705 * [misc]backup-simplify: Simplify 0 into 0 1540371489.705 * [misc]backup-simplify: Simplify 1 into 1 1540371489.705 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.705 * [misc]backup-simplify: Simplify (- 1) into -1 1540371489.705 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371489.705 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371489.705 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371489.706 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.706 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.706 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.706 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371489.706 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371489.706 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1540371489.706 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.706 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.707 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371489.707 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371489.707 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1540371489.707 * [misc]backup-simplify: Simplify 1 into 1 1540371489.707 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540371489.707 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.707 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.708 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.708 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540371489.708 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540371489.709 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1540371489.709 * [misc]backup-simplify: Simplify -1/8 into -1/8 1540371489.709 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- N)) 2)) (+ (* -1/2 (/ 1 (- N))) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371489.709 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) 1540371489.709 * [misc]backup-simplify: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 1540371489.709 * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 1540371489.709 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371489.709 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371489.709 * [misc]taylor: Taking taylor expansion of N in N 1540371489.709 * [misc]backup-simplify: Simplify 0 into 0 1540371489.709 * [misc]backup-simplify: Simplify 1 into 1 1540371489.709 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.709 * [misc]backup-simplify: Simplify 1 into 1 1540371489.709 * [misc]taylor: Taking taylor expansion of N in N 1540371489.709 * [misc]backup-simplify: Simplify 0 into 0 1540371489.709 * [misc]backup-simplify: Simplify 1 into 1 1540371489.709 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.709 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.709 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N 1540371489.709 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1540371489.709 * [misc]taylor: Taking taylor expansion of N in N 1540371489.709 * [misc]backup-simplify: Simplify 0 into 0 1540371489.709 * [misc]backup-simplify: Simplify 1 into 1 1540371489.710 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.710 * [misc]backup-simplify: Simplify 1 into 1 1540371489.710 * [misc]taylor: Taking taylor expansion of N in N 1540371489.710 * [misc]backup-simplify: Simplify 0 into 0 1540371489.710 * [misc]backup-simplify: Simplify 1 into 1 1540371489.710 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.710 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.710 * [misc]backup-simplify: Simplify 1 into 1 1540371489.710 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.710 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1540371489.710 * [misc]backup-simplify: Simplify 1 into 1 1540371489.710 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1540371489.710 * [misc]backup-simplify: Simplify 0 into 0 1540371489.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.711 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.711 * [misc]backup-simplify: Simplify 0 into 0 1540371489.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.711 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.711 * [misc]backup-simplify: Simplify 0 into 0 1540371489.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.712 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.712 * [misc]backup-simplify: Simplify 0 into 0 1540371489.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.713 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.713 * [misc]backup-simplify: Simplify 0 into 0 1540371489.713 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.713 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.713 * [misc]backup-simplify: Simplify 0 into 0 1540371489.714 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 1540371489.714 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 1540371489.714 * [misc]approximate: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 1540371489.714 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371489.714 * [misc]taylor: Taking taylor expansion of N in N 1540371489.714 * [misc]backup-simplify: Simplify 0 into 0 1540371489.714 * [misc]backup-simplify: Simplify 1 into 1 1540371489.714 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371489.714 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.714 * [misc]taylor: Taking taylor expansion of N in N 1540371489.714 * [misc]backup-simplify: Simplify 0 into 0 1540371489.714 * [misc]backup-simplify: Simplify 1 into 1 1540371489.714 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.714 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.714 * [misc]backup-simplify: Simplify 1 into 1 1540371489.714 * [misc]taylor: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 1540371489.714 * [misc]taylor: Taking taylor expansion of N in N 1540371489.714 * [misc]backup-simplify: Simplify 0 into 0 1540371489.714 * [misc]backup-simplify: Simplify 1 into 1 1540371489.714 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1540371489.714 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.714 * [misc]taylor: Taking taylor expansion of N in N 1540371489.714 * [misc]backup-simplify: Simplify 0 into 0 1540371489.714 * [misc]backup-simplify: Simplify 1 into 1 1540371489.715 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.715 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.715 * [misc]backup-simplify: Simplify 1 into 1 1540371489.715 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.715 * [misc]backup-simplify: Simplify (* 0 1) into 0 1540371489.715 * [misc]backup-simplify: Simplify 0 into 0 1540371489.715 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.715 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1540371489.716 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 1)) into 1 1540371489.716 * [misc]backup-simplify: Simplify 1 into 1 1540371489.716 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.716 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1540371489.716 * [misc]backup-simplify: Simplify 1 into 1 1540371489.717 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.717 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.717 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1540371489.717 * [misc]backup-simplify: Simplify 0 into 0 1540371489.718 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.718 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1540371489.718 * [misc]backup-simplify: Simplify 0 into 0 1540371489.719 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.719 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.719 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1540371489.720 * [misc]backup-simplify: Simplify 0 into 0 1540371489.720 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.720 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.721 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1540371489.721 * [misc]backup-simplify: Simplify 0 into 0 1540371489.721 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.722 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.722 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1540371489.722 * [misc]backup-simplify: Simplify 0 into 0 1540371489.723 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.723 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.724 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1540371489.724 * [misc]backup-simplify: Simplify 0 into 0 1540371489.724 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 1540371489.724 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 1540371489.724 * [misc]approximate: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 1540371489.724 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371489.724 * [misc]taylor: Taking taylor expansion of -1 in N 1540371489.724 * [misc]backup-simplify: Simplify -1 into -1 1540371489.724 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371489.724 * [misc]taylor: Taking taylor expansion of N in N 1540371489.724 * [misc]backup-simplify: Simplify 0 into 0 1540371489.724 * [misc]backup-simplify: Simplify 1 into 1 1540371489.724 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371489.724 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.724 * [misc]backup-simplify: Simplify 1 into 1 1540371489.724 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.724 * [misc]taylor: Taking taylor expansion of N in N 1540371489.724 * [misc]backup-simplify: Simplify 0 into 0 1540371489.724 * [misc]backup-simplify: Simplify 1 into 1 1540371489.725 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.725 * [misc]taylor: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 1540371489.725 * [misc]taylor: Taking taylor expansion of -1 in N 1540371489.725 * [misc]backup-simplify: Simplify -1 into -1 1540371489.725 * [misc]taylor: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 1540371489.725 * [misc]taylor: Taking taylor expansion of N in N 1540371489.725 * [misc]backup-simplify: Simplify 0 into 0 1540371489.725 * [misc]backup-simplify: Simplify 1 into 1 1540371489.725 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1540371489.725 * [misc]taylor: Taking taylor expansion of 1 in N 1540371489.725 * [misc]backup-simplify: Simplify 1 into 1 1540371489.725 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1540371489.725 * [misc]taylor: Taking taylor expansion of N in N 1540371489.725 * [misc]backup-simplify: Simplify 0 into 0 1540371489.725 * [misc]backup-simplify: Simplify 1 into 1 1540371489.725 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540371489.726 * [misc]backup-simplify: Simplify (- 1) into -1 1540371489.726 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1540371489.726 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1540371489.726 * [misc]backup-simplify: Simplify (* -1 0) into 0 1540371489.726 * [misc]backup-simplify: Simplify 0 into 0 1540371489.726 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540371489.728 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.728 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1540371489.729 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1540371489.729 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 0)) into 1 1540371489.729 * [misc]backup-simplify: Simplify 1 into 1 1540371489.729 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.729 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.730 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1540371489.730 * [misc]backup-simplify: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 1540371489.730 * [misc]backup-simplify: Simplify -1 into -1 1540371489.731 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.731 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.731 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1540371489.732 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 1540371489.732 * [misc]backup-simplify: Simplify 0 into 0 1540371489.732 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.732 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.732 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.733 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1540371489.733 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 1540371489.733 * [misc]backup-simplify: Simplify 0 into 0 1540371489.734 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.734 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.734 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.734 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1540371489.735 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 1540371489.735 * [misc]backup-simplify: Simplify 0 into 0 1540371489.735 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.735 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.736 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1540371489.737 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 1540371489.737 * [misc]backup-simplify: Simplify 0 into 0 1540371489.737 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.737 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.738 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.738 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1540371489.739 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 1540371489.739 * [misc]backup-simplify: Simplify 0 into 0 1540371489.739 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540371489.740 * [misc]backup-simplify: Simplify (- 0) into 0 1540371489.740 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540371489.740 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 1540371489.741 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 1540371489.741 * [misc]backup-simplify: Simplify 0 into 0 1540371489.741 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 1540371489.741 * * * [misc]progress: simplifying candidates 1540371489.741 * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # 1540371489.741 * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # 1540371489.741 * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # 1540371489.742 * [enter]simplify: Simplifying (log (* (cbrt (sqrt (/ (+ 1 N) N))) (cbrt (sqrt (/ (+ 1 N) N))))) 1540371489.742 * * [misc]simplify: iters left: 6 (8 enodes) 1540371489.744 * * [misc]simplify: iters left: 5 (13 enodes) 1540371489.748 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) 1540371489.748 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (+ (log (* (cbrt (sqrt (/ (+ N 1) N))) (cbrt (sqrt (/ (+ N 1) N))))) (log (cbrt (sqrt (/ (+ 1 N) N))))))) 1540371489.748 * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # 1540371489.749 * [enter]simplify: Simplifying (log (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))) 1540371489.749 * * [misc]simplify: iters left: 6 (8 enodes) 1540371489.751 * * [misc]simplify: iters left: 5 (12 enodes) 1540371489.753 * [exit]simplify: Simplified to (log (fabs (cbrt (/ (+ N 1) N)))) 1540371489.753 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (+ (log (fabs (cbrt (/ (+ N 1) N)))) (log (sqrt (cbrt (/ (+ 1 N) N))))))) 1540371489.753 * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # 1540371489.753 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1540371489.753 * * [misc]simplify: iters left: 6 (7 enodes) 1540371489.754 * * [misc]simplify: iters left: 5 (10 enodes) 1540371489.756 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1540371489.756 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1540371489.756 * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # 1540371489.756 * [enter]simplify: Simplifying (log (sqrt 1)) 1540371489.756 * * [misc]simplify: iters left: 2 (3 enodes) 1540371489.757 * * [misc]simplify: iters left: 1 (5 enodes) 1540371489.758 * [exit]simplify: Simplified to 0 1540371489.758 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1540371489.758 * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # 1540371489.758 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1540371489.758 * * [misc]simplify: iters left: 4 (5 enodes) 1540371489.759 * * [misc]simplify: iters left: 3 (8 enodes) 1540371489.760 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1540371489.760 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (+ (log (sqrt (+ N 1))) (log (sqrt (/ 1 N)))))) 1540371489.760 * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # 1540371489.760 * [enter]simplify: Simplifying (log (sqrt (sqrt (/ (+ 1 N) N)))) 1540371489.760 * * [misc]simplify: iters left: 6 (7 enodes) 1540371489.761 * * [misc]simplify: iters left: 5 (10 enodes) 1540371489.762 * [exit]simplify: Simplified to (log (sqrt (sqrt (/ (+ N 1) N)))) 1540371489.762 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (+ (log (sqrt (sqrt (/ (+ N 1) N)))) (log (sqrt (sqrt (/ (+ 1 N) N))))))) 1540371489.762 * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # 1540371489.762 * [enter]simplify: Simplifying (log 1) 1540371489.762 * * [misc]simplify: iters left: 1 (2 enodes) 1540371489.763 * [exit]simplify: Simplified to 0 1540371489.763 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (+ 0 (log (sqrt (/ (+ 1 N) N)))))) 1540371489.763 * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # 1540371489.763 * [enter]simplify: Simplifying (log (sqrt (+ 1 N))) 1540371489.763 * * [misc]simplify: iters left: 4 (5 enodes) 1540371489.764 * * [misc]simplify: iters left: 3 (8 enodes) 1540371489.765 * [exit]simplify: Simplified to (log (sqrt (+ N 1))) 1540371489.765 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (- (log (sqrt (+ N 1))) (log (sqrt N))))) 1540371489.765 * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # 1540371489.765 * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # 1540371489.765 * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # 1540371489.765 * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # 1540371489.766 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1540371489.766 * * [misc]simplify: iters left: 5 (5 enodes) 1540371489.766 * * [misc]simplify: iters left: 4 (8 enodes) 1540371489.767 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1540371489.767 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) 1540371489.767 * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # 1540371489.768 * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # 1540371489.768 * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # 1540371489.768 * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # 1540371489.768 * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # 1540371489.768 * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # 1540371489.768 * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # 1540371489.768 * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # 1540371489.768 * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # 1540371489.768 * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1540371489.768 * * [misc]simplify: iters left: 6 (7 enodes) 1540371489.769 * * [misc]simplify: iters left: 5 (12 enodes) 1540371489.771 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 1540371489.771 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1540371489.771 * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # 1540371489.771 * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) 1540371489.771 * * [misc]simplify: iters left: 6 (6 enodes) 1540371489.772 * * [misc]simplify: iters left: 5 (9 enodes) 1540371489.773 * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) 1540371489.773 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) (log (sqrt (/ (+ 1 N) N))))) 1540371489.773 * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # 1540371489.773 * [enter]simplify: Simplifying (log 1) 1540371489.773 * * [misc]simplify: iters left: 1 (2 enodes) 1540371489.774 * [exit]simplify: Simplified to 0 1540371489.774 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ 0 (log (/ (+ 1 N) N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371489.774 * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # 1540371489.774 * [enter]simplify: Simplifying (log (+ 1 N)) 1540371489.774 * * [misc]simplify: iters left: 3 (4 enodes) 1540371489.775 * * [misc]simplify: iters left: 2 (8 enodes) 1540371489.776 * [exit]simplify: Simplified to (log1p N) 1540371489.776 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (+ (log1p N) (log (/ 1 N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371489.776 * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # 1540371489.776 * [enter]simplify: Simplifying (log (+ 1 N)) 1540371489.777 * * [misc]simplify: iters left: 3 (4 enodes) 1540371489.777 * * [misc]simplify: iters left: 2 (8 enodes) 1540371489.778 * [exit]simplify: Simplified to (log1p N) 1540371489.778 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (- (log1p N) (log N))) (log (sqrt (/ (+ 1 N) N))))) 1540371489.778 * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # 1540371489.778 * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # 1540371489.778 * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # 1540371489.778 * [enter]simplify: Simplifying (/ (+ 1 N) N) 1540371489.778 * * [misc]simplify: iters left: 4 (4 enodes) 1540371489.779 * * [misc]simplify: iters left: 3 (7 enodes) 1540371489.780 * [exit]simplify: Simplified to (/ (+ N 1) N) 1540371489.780 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 1540371489.780 * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # 1540371489.780 * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # 1540371489.781 * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # 1540371489.781 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 1540371489.781 * * [misc]simplify: iters left: 6 (7 enodes) 1540371489.782 * * [misc]simplify: iters left: 5 (11 enodes) 1540371489.783 * [exit]simplify: Simplified to (fabs (cbrt (/ (+ N 1) N))) 1540371489.783 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (* (fabs (cbrt (/ (+ N 1) N))) (sqrt (cbrt (/ (+ 1 N) N))))))) 1540371489.783 * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # 1540371489.783 * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ 1 N) N))) 1540371489.784 * * [misc]simplify: iters left: 6 (6 enodes) 1540371489.784 * * [misc]simplify: iters left: 5 (9 enodes) 1540371489.786 * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ N 1) N))) 1540371489.786 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (* (sqrt (sqrt (/ (+ N 1) N))) (sqrt (sqrt (/ (+ 1 N) N))))))) 1540371489.786 * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # 1540371489.786 * [enter]simplify: Simplifying (sqrt 1) 1540371489.786 * * [misc]simplify: iters left: 1 (2 enodes) 1540371489.787 * [exit]simplify: Simplified to 1 1540371489.787 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (* 1 (sqrt (/ (+ 1 N) N)))))) 1540371489.787 * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # 1540371489.787 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1540371489.787 * * [misc]simplify: iters left: 3 (4 enodes) 1540371489.787 * * [misc]simplify: iters left: 2 (7 enodes) 1540371489.788 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1540371489.788 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (* (sqrt (+ N 1)) (sqrt (/ 1 N)))))) 1540371489.788 * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # 1540371489.788 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1540371489.789 * * [misc]simplify: iters left: 3 (4 enodes) 1540371489.789 * * [misc]simplify: iters left: 2 (7 enodes) 1540371489.790 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1540371489.790 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (/ (sqrt (+ N 1)) (sqrt N))))) 1540371489.790 * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # 1540371489.790 * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # 1540371489.790 * [enter]simplify: Simplifying (sqrt (/ (+ 1 N) N)) 1540371489.790 * * [misc]simplify: iters left: 5 (5 enodes) 1540371489.791 * * [misc]simplify: iters left: 4 (8 enodes) 1540371489.792 * [exit]simplify: Simplified to (sqrt (/ (+ N 1) N)) 1540371489.792 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (fabs (sqrt (/ (+ N 1) N)))))) 1540371489.792 * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # 1540371489.792 * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # 1540371489.792 * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # 1540371489.792 * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # 1540371489.792 * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # 1540371489.792 * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # 1540371489.792 * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # 1540371489.792 * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # 1540371489.792 * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # 1540371489.792 * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # 1540371489.793 * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # 1540371489.793 * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # 1540371489.793 * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # 1540371489.793 * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # 1540371489.793 * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1540371489.793 * * [misc]simplify: iters left: 5 (5 enodes) 1540371489.794 * * [misc]simplify: iters left: 4 (8 enodes) 1540371489.795 * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1540371489.795 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (sqrt (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))))) 1540371489.795 * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # 1540371489.795 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1540371489.795 * * [misc]simplify: iters left: 3 (4 enodes) 1540371489.796 * * [misc]simplify: iters left: 2 (7 enodes) 1540371489.796 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1540371489.796 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (sqrt (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))))) 1540371489.796 * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # 1540371489.796 * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # 1540371489.797 * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) 1540371489.797 * * [misc]simplify: iters left: 3 (6 enodes) 1540371489.798 * * [misc]simplify: iters left: 2 (14 enodes) 1540371489.800 * * [misc]simplify: iters left: 1 (16 enodes) 1540371489.801 * [exit]simplify: Simplified to (fma (* N N) N 1) 1540371489.801 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (sqrt (/ (fma (* N N) N 1) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))))) 1540371489.801 * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # 1540371489.801 * [enter]simplify: Simplifying (- (* 1 1) (* N N)) 1540371489.802 * * [misc]simplify: iters left: 4 (5 enodes) 1540371489.802 * * [misc]simplify: iters left: 3 (10 enodes) 1540371489.804 * * [misc]simplify: iters left: 2 (14 enodes) 1540371489.805 * * [misc]simplify: iters left: 1 (16 enodes) 1540371489.807 * [exit]simplify: Simplified to (- 1 (* N N)) 1540371489.807 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (sqrt (/ (- 1 (* N N)) (* N (- 1 N))))))) 1540371489.807 * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # 1540371489.807 * [enter]simplify: Simplifying (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 1540371489.807 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) +nan.0)) 1540371489.807 * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # 1540371489.807 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371489.807 * * [misc]simplify: iters left: 6 (17 enodes) 1540371489.812 * * [misc]simplify: iters left: 5 (37 enodes) 1540371489.821 * * [misc]simplify: iters left: 4 (72 enodes) 1540371489.845 * * [misc]simplify: iters left: 3 (126 enodes) 1540371489.872 * * [misc]simplify: iters left: 2 (206 enodes) 1540371489.902 * * [misc]simplify: iters left: 1 (294 enodes) 1540371489.994 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1540371489.995 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1540371489.995 * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # 1540371489.995 * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 1540371489.995 * * [misc]simplify: iters left: 6 (17 enodes) 1540371490.001 * * [misc]simplify: iters left: 5 (37 enodes) 1540371490.015 * * [misc]simplify: iters left: 4 (72 enodes) 1540371490.038 * * [misc]simplify: iters left: 3 (126 enodes) 1540371490.067 * * [misc]simplify: iters left: 2 (206 enodes) 1540371490.103 * * [misc]simplify: iters left: 1 (294 enodes) 1540371490.168 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)) 1540371490.168 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (fma (/ 1 (* N N)) (+ (/ 1/6 N) -1/4) (/ 1/2 N)))) 1540371490.168 * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # 1540371490.169 * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 1540371490.169 * * [misc]simplify: iters left: 6 (8 enodes) 1540371490.171 * * [misc]simplify: iters left: 5 (15 enodes) 1540371490.176 * * [misc]simplify: iters left: 4 (29 enodes) 1540371490.186 * * [misc]simplify: iters left: 3 (55 enodes) 1540371490.206 * * [misc]simplify: iters left: 2 (104 enodes) 1540371490.226 * * [misc]simplify: iters left: 1 (143 enodes) 1540371490.254 * [exit]simplify: Simplified to (fma (* N -1/2) N (- N (log N))) 1540371490.254 * [misc]simplify: Simplified (2 1 2) to (λ (N) (+ (* 1/2 (fma (* N -1/2) N (- N (log N)))) (log (sqrt (/ (+ 1 N) N))))) 1540371490.254 * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # 1540371490.254 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371490.254 * * [misc]simplify: iters left: 6 (15 enodes) 1540371490.259 * * [misc]simplify: iters left: 5 (32 enodes) 1540371490.269 * * [misc]simplify: iters left: 4 (61 enodes) 1540371490.290 * * [misc]simplify: iters left: 3 (103 enodes) 1540371490.332 * * [misc]simplify: iters left: 2 (168 enodes) 1540371490.382 * * [misc]simplify: iters left: 1 (248 enodes) 1540371490.457 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540371490.457 * [misc]simplify: Simplified (2 1 2) to (λ (N) (+ (* 1/2 (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (log (sqrt (/ (+ 1 N) N))))) 1540371490.457 * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # 1540371490.457 * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 1540371490.457 * * [misc]simplify: iters left: 6 (15 enodes) 1540371490.460 * * [misc]simplify: iters left: 5 (32 enodes) 1540371490.467 * * [misc]simplify: iters left: 4 (61 enodes) 1540371490.489 * * [misc]simplify: iters left: 3 (103 enodes) 1540371490.510 * * [misc]simplify: iters left: 2 (168 enodes) 1540371490.539 * * [misc]simplify: iters left: 1 (248 enodes) 1540371490.599 * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) 1540371490.599 * [misc]simplify: Simplified (2 1 2) to (λ (N) (+ (* 1/2 (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (log (sqrt (/ (+ 1 N) N))))) 1540371490.599 * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # 1540371490.599 * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 1540371490.599 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log +nan.0))) 1540371490.599 * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # 1540371490.599 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371490.600 * * [misc]simplify: iters left: 6 (12 enodes) 1540371490.603 * * [misc]simplify: iters left: 5 (27 enodes) 1540371490.608 * * [misc]simplify: iters left: 4 (52 enodes) 1540371490.618 * * [misc]simplify: iters left: 3 (90 enodes) 1540371490.644 * * [misc]simplify: iters left: 2 (135 enodes) 1540371490.663 * * [misc]simplify: iters left: 1 (181 enodes) 1540371490.696 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1540371490.696 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1540371490.696 * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # 1540371490.697 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 1540371490.697 * * [misc]simplify: iters left: 6 (12 enodes) 1540371490.700 * * [misc]simplify: iters left: 5 (27 enodes) 1540371490.705 * * [misc]simplify: iters left: 4 (52 enodes) 1540371490.717 * * [misc]simplify: iters left: 3 (90 enodes) 1540371490.741 * * [misc]simplify: iters left: 2 (135 enodes) 1540371490.779 * * [misc]simplify: iters left: 1 (181 enodes) 1540371490.825 * [exit]simplify: Simplified to (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N))) 1540371490.826 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (- (+ 1 (/ 1/2 N)) (/ 1/8 (* N N)))))) 1540371490.826 * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # 1540371490.826 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1540371490.826 * * [misc]simplify: iters left: 4 (4 enodes) 1540371490.828 * * [misc]simplify: iters left: 3 (7 enodes) 1540371490.829 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1540371490.829 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (sqrt (+ 1 (/ 1 N)))))) 1540371490.829 * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # 1540371490.830 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1540371490.830 * * [misc]simplify: iters left: 4 (4 enodes) 1540371490.832 * * [misc]simplify: iters left: 3 (7 enodes) 1540371490.833 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1540371490.834 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (sqrt (+ 1 (/ 1 N)))))) 1540371490.834 * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # 1540371490.834 * [enter]simplify: Simplifying (+ (/ 1 N) 1) 1540371490.834 * * [misc]simplify: iters left: 4 (4 enodes) 1540371490.835 * * [misc]simplify: iters left: 3 (7 enodes) 1540371490.837 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) 1540371490.837 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (* 1/2 (log (/ (+ 1 N) N))) (log (sqrt (+ 1 (/ 1 N)))))) 1540371490.837 * * * [misc]progress: adding candidates to table 1540371491.545 * [misc]progress: [Phase 3 of 3] Extracting. 1540371491.545 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1540371491.548 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1540371491.549 * * * * [misc]regimes: Trying to branch on N from (# # # # # #) 1540371491.613 * * * [misc]regime: Found split indices: #