76.868 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.101 * * * [progress]: [2/2] Setting up program. 0.108 * [progress]: [Phase 2 of 3] Improving. 0.108 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.108 * * [simplify]: iteration 0: 6 enodes 0.110 * * [simplify]: iteration 1: 9 enodes 0.112 * * [simplify]: iteration 2: 10 enodes 0.115 * * [simplify]: iteration complete: 10 enodes 0.115 * * [simplify]: Extracting #0: cost 1 inf + 0 0.115 * * [simplify]: Extracting #1: cost 4 inf + 0 0.115 * * [simplify]: Extracting #2: cost 6 inf + 0 0.116 * * [simplify]: Extracting #3: cost 6 inf + 1 0.116 * * [simplify]: Extracting #4: cost 2 inf + 226 0.116 * * [simplify]: Extracting #5: cost 0 inf + 560 0.116 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.117 * * [progress]: iteration 1 / 4 0.117 * * * [progress]: picking best candidate 0.125 * * * * [pick]: Picked # 0.125 * * * [progress]: localizing error 0.154 * * * [progress]: generating rewritten candidates 0.154 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.353 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.400 * * * [progress]: generating series expansions 0.400 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.400 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.400 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.400 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.400 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.401 * [taylor]: Taking taylor expansion of N in N 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of 1.0 in N 0.401 * [backup-simplify]: Simplify 1.0 into 1.0 0.402 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.403 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.403 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.403 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [taylor]: Taking taylor expansion of 1.0 in N 0.403 * [backup-simplify]: Simplify 1.0 into 1.0 0.404 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.404 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.406 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.407 * [backup-simplify]: Simplify (+ 1 0) into 1 0.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.431 * [backup-simplify]: Simplify 1.0 into 1.0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.452 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.462 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.463 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.463 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.463 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [backup-simplify]: Simplify 1.0 into 1.0 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (log 1) into 0 0.464 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.464 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [taylor]: Taking taylor expansion of 1.0 in N 0.465 * [backup-simplify]: Simplify 1.0 into 1.0 0.465 * [backup-simplify]: Simplify (+ 1 0) into 1 0.466 * [backup-simplify]: Simplify (log 1) into 0 0.466 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.466 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.487 * [backup-simplify]: Simplify 1.0 into 1.0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.514 * [backup-simplify]: Simplify -0.5 into -0.5 0.515 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.515 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.515 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.515 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.515 * [taylor]: Taking taylor expansion of 1.0 in N 0.515 * [backup-simplify]: Simplify 1.0 into 1.0 0.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [backup-simplify]: Simplify (- 1) into -1 0.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.538 * [backup-simplify]: Simplify (log -1) into (log -1) 0.538 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.538 * [taylor]: Taking taylor expansion of 1.0 in N 0.538 * [backup-simplify]: Simplify 1.0 into 1.0 0.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [backup-simplify]: Simplify (- 1) into -1 0.539 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.540 * [backup-simplify]: Simplify (log -1) into (log -1) 0.541 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.541 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.580 * [backup-simplify]: Simplify -1.0 into -1.0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (- 0) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.610 * [backup-simplify]: Simplify -0.5 into -0.5 0.611 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.611 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.611 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.611 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.611 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.612 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.612 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [backup-simplify]: Simplify 1.0 into 1.0 0.612 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.613 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.613 * [taylor]: Taking taylor expansion of (log N) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (log 1) into 0 0.613 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.613 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.613 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [taylor]: Taking taylor expansion of 1.0 in N 0.613 * [backup-simplify]: Simplify 1.0 into 1.0 0.614 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.614 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.614 * [taylor]: Taking taylor expansion of (log N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (log 1) into 0 0.615 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.615 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.622 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.623 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.623 * [backup-simplify]: Simplify (+ 1 0) into 1 0.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.654 * [backup-simplify]: Simplify (- 0) into 0 0.655 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.655 * [backup-simplify]: Simplify 1.0 into 1.0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.734 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.734 * [backup-simplify]: Simplify (- 0) into 0 0.736 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.739 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.746 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.747 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.747 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.747 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.747 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.749 * [taylor]: Taking taylor expansion of N in N 0.749 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.750 * [taylor]: Taking taylor expansion of 1.0 in N 0.750 * [backup-simplify]: Simplify 1.0 into 1.0 0.751 * [backup-simplify]: Simplify (+ 1 0) into 1 0.751 * [backup-simplify]: Simplify (log 1) into 0 0.751 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.751 * [taylor]: Taking taylor expansion of N in N 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (/ 1 1) into 1 0.752 * [backup-simplify]: Simplify (log 1) into 0 0.752 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.752 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.752 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.752 * [taylor]: Taking taylor expansion of N in N 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (/ 1 1) into 1 0.752 * [taylor]: Taking taylor expansion of 1.0 in N 0.752 * [backup-simplify]: Simplify 1.0 into 1.0 0.753 * [backup-simplify]: Simplify (+ 1 0) into 1 0.753 * [backup-simplify]: Simplify (log 1) into 0 0.753 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.753 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.753 * [taylor]: Taking taylor expansion of N in N 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.754 * [backup-simplify]: Simplify (log 1) into 0 0.754 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.755 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.755 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.755 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.764 * [backup-simplify]: Simplify (- 0) into 0 0.765 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.765 * [backup-simplify]: Simplify 1.0 into 1.0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.782 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [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 0.809 * [backup-simplify]: Simplify (- 0) into 0 0.809 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.809 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.810 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.811 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.811 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.811 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.811 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.811 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.811 * [taylor]: Taking taylor expansion of 1.0 in N 0.811 * [backup-simplify]: Simplify 1.0 into 1.0 0.811 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.811 * [taylor]: Taking taylor expansion of N in N 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (/ 1 1) into 1 0.812 * [backup-simplify]: Simplify (- 1) into -1 0.812 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.813 * [backup-simplify]: Simplify (log -1) into (log -1) 0.813 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.813 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.813 * [taylor]: Taking taylor expansion of -1 in N 0.813 * [backup-simplify]: Simplify -1 into -1 0.813 * [taylor]: Taking taylor expansion of N in N 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (/ -1 1) into -1 0.814 * [backup-simplify]: Simplify (log -1) into (log -1) 0.814 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.814 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.814 * [taylor]: Taking taylor expansion of 1.0 in N 0.814 * [backup-simplify]: Simplify 1.0 into 1.0 0.814 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.814 * [taylor]: Taking taylor expansion of N in N 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (/ 1 1) into 1 0.815 * [backup-simplify]: Simplify (- 1) into -1 0.815 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.815 * [backup-simplify]: Simplify (log -1) into (log -1) 0.815 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.815 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.815 * [taylor]: Taking taylor expansion of -1 in N 0.815 * [backup-simplify]: Simplify -1 into -1 0.815 * [taylor]: Taking taylor expansion of N in N 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (/ -1 1) into -1 0.816 * [backup-simplify]: Simplify (log -1) into (log -1) 0.817 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.818 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.818 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.819 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (- 0) into 0 0.821 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.832 * [backup-simplify]: Simplify (- 0) into 0 0.832 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.832 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (- 0) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.850 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.850 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (- 0) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.873 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [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 0.879 * [backup-simplify]: Simplify (- 0) into 0 0.880 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.880 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.919 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.924 * * * [progress]: simplifying candidates 0.929 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.933 * * [simplify]: iteration 0: 127 enodes 1.004 * * [simplify]: iteration 1: 287 enodes 1.448 * * [simplify]: iteration 2: 691 enodes 3.281 * * [simplify]: iteration 3: 2053 enodes 11.146 * * [simplify]: iteration complete: 5001 enodes 11.146 * * [simplify]: Extracting #0: cost 43 inf + 0 11.148 * * [simplify]: Extracting #1: cost 360 inf + 1 11.169 * * [simplify]: Extracting #2: cost 988 inf + 1690 11.199 * * [simplify]: Extracting #3: cost 1028 inf + 28912 11.400 * * [simplify]: Extracting #4: cost 427 inf + 167930 11.485 * * [simplify]: Extracting #5: cost 68 inf + 292036 11.718 * * [simplify]: Extracting #6: cost 22 inf + 307509 11.899 * * [simplify]: Extracting #7: cost 5 inf + 310122 12.120 * * [simplify]: Extracting #8: cost 0 inf + 311387 12.223 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (fma (* N N) N (* (* 1.0 1.0) 1.0))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (- (log (+ N 1.0)) (log N)) (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (* (* (log N) (log N)) (log N))) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0))))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ N 1.0)))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (- (fma 1.0 N (log 1.0)) (fma (* (/ N 1.0) (/ N 1.0)) 1/2 (log N))) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) 12.230 * * * [progress]: adding candidates to table 12.961 * * [progress]: iteration 2 / 4 12.961 * * * [progress]: picking best candidate 12.986 * * * * [pick]: Picked # 12.987 * * * [progress]: localizing error 13.048 * * * [progress]: generating rewritten candidates 13.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 13.281 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 13.358 * * * [progress]: generating series expansions 13.373 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 13.389 * [backup-simplify]: Simplify (/ 1 (* N N)) into (/ 1 (pow N 2)) 13.389 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 13.389 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.389 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.390 * [taylor]: Taking taylor expansion of N in N 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify 1 into 1 13.460 * [backup-simplify]: Simplify (* 1 1) into 1 13.462 * [backup-simplify]: Simplify (/ 1 1) into 1 13.462 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.462 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.462 * [taylor]: Taking taylor expansion of N in N 13.462 * [backup-simplify]: Simplify 0 into 0 13.462 * [backup-simplify]: Simplify 1 into 1 13.463 * [backup-simplify]: Simplify (* 1 1) into 1 13.463 * [backup-simplify]: Simplify (/ 1 1) into 1 13.463 * [backup-simplify]: Simplify 1 into 1 13.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.465 * [backup-simplify]: Simplify 0 into 0 13.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.467 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.469 * [backup-simplify]: Simplify 0 into 0 13.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.474 * [backup-simplify]: Simplify 0 into 0 13.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.487 * [backup-simplify]: Simplify 0 into 0 13.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.501 * [backup-simplify]: Simplify 0 into 0 13.501 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 13.501 * [backup-simplify]: Simplify (/ 1 (* (/ 1 N) (/ 1 N))) into (pow N 2) 13.501 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 13.501 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.502 * [taylor]: Taking taylor expansion of N in N 13.502 * [backup-simplify]: Simplify 0 into 0 13.502 * [backup-simplify]: Simplify 1 into 1 13.502 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.502 * [taylor]: Taking taylor expansion of N in N 13.502 * [backup-simplify]: Simplify 0 into 0 13.502 * [backup-simplify]: Simplify 1 into 1 13.502 * [backup-simplify]: Simplify (* 1 1) into 1 13.502 * [backup-simplify]: Simplify 1 into 1 13.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.503 * [backup-simplify]: Simplify 0 into 0 13.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.504 * [backup-simplify]: Simplify 0 into 0 13.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.516 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.517 * [backup-simplify]: Simplify 0 into 0 13.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.519 * [backup-simplify]: Simplify 0 into 0 13.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.520 * [backup-simplify]: Simplify 0 into 0 13.524 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 13.525 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (pow N 2) 13.525 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 13.525 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.525 * [taylor]: Taking taylor expansion of N in N 13.525 * [backup-simplify]: Simplify 0 into 0 13.525 * [backup-simplify]: Simplify 1 into 1 13.525 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.525 * [taylor]: Taking taylor expansion of N in N 13.525 * [backup-simplify]: Simplify 0 into 0 13.525 * [backup-simplify]: Simplify 1 into 1 13.526 * [backup-simplify]: Simplify (* 1 1) into 1 13.526 * [backup-simplify]: Simplify 1 into 1 13.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.527 * [backup-simplify]: Simplify 0 into 0 13.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.528 * [backup-simplify]: Simplify 0 into 0 13.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.533 * [backup-simplify]: Simplify 0 into 0 13.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.540 * [backup-simplify]: Simplify 0 into 0 13.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.541 * [backup-simplify]: Simplify 0 into 0 13.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.543 * [backup-simplify]: Simplify 0 into 0 13.543 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 13.544 * * * * [progress]: [ 2 / 2 ] generating series at (2) 13.544 * [backup-simplify]: Simplify (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) into (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) 13.545 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in (N) around 0 13.545 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 13.546 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 13.546 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 13.546 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.546 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.546 * [taylor]: Taking taylor expansion of N in N 13.546 * [backup-simplify]: Simplify 0 into 0 13.546 * [backup-simplify]: Simplify 1 into 1 13.547 * [backup-simplify]: Simplify (* 1 1) into 1 13.547 * [backup-simplify]: Simplify (/ 1 1) into 1 13.547 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 13.547 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 13.547 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.547 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.547 * [taylor]: Taking taylor expansion of (/ 1 N) in N 13.547 * [taylor]: Taking taylor expansion of N in N 13.547 * [backup-simplify]: Simplify 0 into 0 13.547 * [backup-simplify]: Simplify 1 into 1 13.548 * [backup-simplify]: Simplify (/ 1 1) into 1 13.548 * [taylor]: Taking taylor expansion of 0.5 in N 13.548 * [backup-simplify]: Simplify 0.5 into 0.5 13.548 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 13.548 * [taylor]: Taking taylor expansion of 1.0 in N 13.548 * [backup-simplify]: Simplify 1.0 into 1.0 13.548 * [taylor]: Taking taylor expansion of N in N 13.548 * [backup-simplify]: Simplify 0 into 0 13.548 * [backup-simplify]: Simplify 1 into 1 13.548 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 13.548 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 13.549 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 13.549 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 13.549 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 13.549 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.549 * [taylor]: Taking taylor expansion of N in N 13.549 * [backup-simplify]: Simplify 0 into 0 13.549 * [backup-simplify]: Simplify 1 into 1 13.562 * [backup-simplify]: Simplify (* 1 1) into 1 13.563 * [backup-simplify]: Simplify (/ 1 1) into 1 13.563 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 13.563 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 13.563 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.563 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.563 * [taylor]: Taking taylor expansion of (/ 1 N) in N 13.563 * [taylor]: Taking taylor expansion of N in N 13.563 * [backup-simplify]: Simplify 0 into 0 13.563 * [backup-simplify]: Simplify 1 into 1 13.563 * [backup-simplify]: Simplify (/ 1 1) into 1 13.563 * [taylor]: Taking taylor expansion of 0.5 in N 13.563 * [backup-simplify]: Simplify 0.5 into 0.5 13.563 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 13.563 * [taylor]: Taking taylor expansion of 1.0 in N 13.563 * [backup-simplify]: Simplify 1.0 into 1.0 13.563 * [taylor]: Taking taylor expansion of N in N 13.563 * [backup-simplify]: Simplify 0 into 0 13.564 * [backup-simplify]: Simplify 1 into 1 13.564 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 13.564 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 13.565 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.568 * [backup-simplify]: Simplify (* 1 0.3333333333333333) into 0.3333333333333333 13.569 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.569 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.570 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 13.571 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.572 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 13.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.576 * [backup-simplify]: Simplify (+ (* 1 (- 0.5)) (* 0 0.3333333333333333)) into (- 0.5) 13.577 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 13.577 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.586 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 13.586 * [backup-simplify]: Simplify (- 0) into 0 13.587 * [backup-simplify]: Simplify (+ 0 0) into 0 13.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 0.3333333333333333))) into 0 13.604 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 13.604 * [backup-simplify]: Simplify 1.0 into 1.0 13.605 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 13.605 * [backup-simplify]: Simplify (fma (/ 1 (* (/ 1 N) (/ 1 N))) (+ (/ 0.3333333333333333 (/ 1 N)) (- 0.5)) (/ 1.0 (/ 1 N))) into (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) 13.606 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in (N) around 0 13.606 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 13.606 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 13.606 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 13.606 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.606 * [taylor]: Taking taylor expansion of N in N 13.606 * [backup-simplify]: Simplify 0 into 0 13.606 * [backup-simplify]: Simplify 1 into 1 13.606 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 13.606 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.606 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.606 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.606 * [taylor]: Taking taylor expansion of N in N 13.606 * [backup-simplify]: Simplify 0 into 0 13.606 * [backup-simplify]: Simplify 1 into 1 13.606 * [taylor]: Taking taylor expansion of 0.5 in N 13.606 * [backup-simplify]: Simplify 0.5 into 0.5 13.606 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 13.606 * [taylor]: Taking taylor expansion of 1.0 in N 13.606 * [backup-simplify]: Simplify 1.0 into 1.0 13.606 * [taylor]: Taking taylor expansion of N in N 13.606 * [backup-simplify]: Simplify 0 into 0 13.606 * [backup-simplify]: Simplify 1 into 1 13.606 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 13.607 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 13.607 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 13.607 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.607 * [taylor]: Taking taylor expansion of N in N 13.607 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify 1 into 1 13.607 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 13.607 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.607 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.607 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.607 * [taylor]: Taking taylor expansion of N in N 13.607 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify 1 into 1 13.607 * [taylor]: Taking taylor expansion of 0.5 in N 13.607 * [backup-simplify]: Simplify 0.5 into 0.5 13.607 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 13.607 * [taylor]: Taking taylor expansion of 1.0 in N 13.607 * [backup-simplify]: Simplify 1.0 into 1.0 13.607 * [taylor]: Taking taylor expansion of N in N 13.607 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify 1 into 1 13.608 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.608 * [backup-simplify]: Simplify (+ 0 0) into 0 13.608 * [backup-simplify]: Simplify 0 into 0 13.611 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 13.611 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 13.611 * [backup-simplify]: Simplify 1.0 into 1.0 13.612 * [backup-simplify]: Simplify (* 1 1) into 1 13.612 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 13.613 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.614 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 13.615 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 13.616 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 13.617 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 13.617 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.619 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 13.620 * [backup-simplify]: Simplify (- 0) into 0 13.620 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.623 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 13.624 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.625 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.625 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.626 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 13.627 * [backup-simplify]: Simplify (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (+ (/ 0.3333333333333333 (/ 1 (- N))) (- 0.5)) (/ 1.0 (/ 1 (- N)))) into (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) 13.627 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in (N) around 0 13.627 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 13.627 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 13.627 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 13.627 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.628 * [taylor]: Taking taylor expansion of N in N 13.628 * [backup-simplify]: Simplify 0 into 0 13.628 * [backup-simplify]: Simplify 1 into 1 13.628 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 13.628 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 13.628 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.628 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.628 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.628 * [taylor]: Taking taylor expansion of N in N 13.628 * [backup-simplify]: Simplify 0 into 0 13.628 * [backup-simplify]: Simplify 1 into 1 13.628 * [taylor]: Taking taylor expansion of 0.5 in N 13.628 * [backup-simplify]: Simplify 0.5 into 0.5 13.628 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 13.628 * [taylor]: Taking taylor expansion of -1.0 in N 13.628 * [backup-simplify]: Simplify -1.0 into -1.0 13.628 * [taylor]: Taking taylor expansion of N in N 13.628 * [backup-simplify]: Simplify 0 into 0 13.628 * [backup-simplify]: Simplify 1 into 1 13.628 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 13.628 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 13.628 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 13.628 * [taylor]: Taking taylor expansion of (pow N 2) in N 13.628 * [taylor]: Taking taylor expansion of N in N 13.628 * [backup-simplify]: Simplify 0 into 0 13.628 * [backup-simplify]: Simplify 1 into 1 13.629 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 13.629 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 13.629 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 13.629 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 13.629 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 13.629 * [taylor]: Taking taylor expansion of N in N 13.629 * [backup-simplify]: Simplify 0 into 0 13.629 * [backup-simplify]: Simplify 1 into 1 13.629 * [taylor]: Taking taylor expansion of 0.5 in N 13.629 * [backup-simplify]: Simplify 0.5 into 0.5 13.629 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 13.629 * [taylor]: Taking taylor expansion of -1.0 in N 13.629 * [backup-simplify]: Simplify -1.0 into -1.0 13.629 * [taylor]: Taking taylor expansion of N in N 13.629 * [backup-simplify]: Simplify 0 into 0 13.629 * [backup-simplify]: Simplify 1 into 1 13.630 * [backup-simplify]: Simplify (* -1.0 0) into 0 13.631 * [backup-simplify]: Simplify (+ 0 0) into 0 13.631 * [backup-simplify]: Simplify 0 into 0 13.633 * [backup-simplify]: Simplify (+ (* -1.0 1) (* 0 0)) into (- 1.0) 13.634 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 13.634 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 13.635 * [backup-simplify]: Simplify (* 1 1) into 1 13.636 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 13.636 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 13.637 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.638 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 13.639 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 1) (* 0 0))) into 0 13.639 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 13.640 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.642 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 13.643 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 13.643 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 13.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.644 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 13.647 * [backup-simplify]: Simplify (+ (* 1 (- 0.3333333333333333)) (* 0 (- 0.5))) into (- 0.3333333333333333) 13.649 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.650 * [backup-simplify]: Simplify (+ (- 0.3333333333333333) 0) into (- 0.3333333333333333) 13.650 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 13.655 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 13.655 * * * [progress]: simplifying candidates 13.656 * [simplify]: Simplifying: (expm1 (/ 1 (* N N))) (log1p (/ 1 (* N N))) (- (+ 1 1)) (- 1) (- 2) (- (+ 1 1)) (- 1) (- (* 2 1)) (- (+ (log N) (log N))) (- (log (* N N))) (- 0 (+ (log N) (log N))) (- 0 (log (* N N))) (- (log 1) (+ (log N) (log N))) (- (log 1) (log (* N N))) (log (/ 1 (* N N))) (exp (/ 1 (* N N))) (/ (* (* 1 1) 1) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1 1) 1) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) (cbrt (/ 1 (* N N))) (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (sqrt (/ 1 (* N N))) (- 1) (- (* N N)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (/ (* N N) 1) (/ 1 N) (/ (* N N) (cbrt 1)) (/ (* N N) (sqrt 1)) (/ (* N N) 1) (expm1 (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (log1p (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (* (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5))) (log (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (exp (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (* (cbrt (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (cbrt (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)))) (cbrt (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (* (* (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (sqrt (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (sqrt (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 13.658 * * [simplify]: iteration 0: 80 enodes 13.807 * * [simplify]: iteration 1: 179 enodes 13.923 * * [simplify]: iteration 2: 459 enodes 14.927 * * [simplify]: iteration 3: 1513 enodes 21.568 * * [simplify]: iteration complete: 5003 enodes 21.569 * * [simplify]: Extracting #0: cost 24 inf + 0 21.570 * * [simplify]: Extracting #1: cost 234 inf + 2 21.576 * * [simplify]: Extracting #2: cost 905 inf + 1822 21.595 * * [simplify]: Extracting #3: cost 1135 inf + 27794 21.678 * * [simplify]: Extracting #4: cost 360 inf + 204187 21.811 * * [simplify]: Extracting #5: cost 15 inf + 331577 21.953 * * [simplify]: Extracting #6: cost 0 inf + 330021 22.116 * * [simplify]: Extracting #7: cost 0 inf + 329493 22.254 * [simplify]: Simplified to: (expm1 (/ (/ 1 N) N)) (log1p (/ (/ 1 N) N)) -2 -1 -2 -2 -1 -2 (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (* -2 (log N)) (exp (/ (/ 1 N) N)) (* (/ (/ (/ 1 N) N) N) (/ (/ (/ 1 N) N) N)) (* (/ (/ (/ 1 N) N) N) (/ (/ (/ 1 N) N) N)) (* (cbrt (/ (/ 1 N) N)) (cbrt (/ (/ 1 N) N))) (cbrt (/ (/ 1 N) N)) (* (/ (/ (/ 1 N) N) N) (/ (/ (/ 1 N) N) N)) (fabs (/ 1 N)) (fabs (/ 1 N)) -1 (* (- N) N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ 1 N) (/ (/ 1 N) N) (* N N) (/ 1 N) (* N N) (* N N) (* N N) (expm1 (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (log1p (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)) (log (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (exp (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (* (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))))) (cbrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (* (* (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (sqrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (sqrt (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N)))) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (* N N))) 22.258 * * * [progress]: adding candidates to table 22.482 * * [progress]: iteration 3 / 4 22.482 * * * [progress]: picking best candidate 22.491 * * * * [pick]: Picked # 22.491 * * * [progress]: localizing error 22.507 * * * [progress]: generating rewritten candidates 22.507 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 22.519 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 22.569 * * * [progress]: generating series expansions 22.569 * * * * [progress]: [ 1 / 2 ] generating series at (2) 22.569 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 22.569 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 22.569 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 22.569 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 22.569 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 22.569 * [taylor]: Taking taylor expansion of N in N 22.569 * [backup-simplify]: Simplify 0 into 0 22.569 * [backup-simplify]: Simplify 1 into 1 22.569 * [taylor]: Taking taylor expansion of 1.0 in N 22.569 * [backup-simplify]: Simplify 1.0 into 1.0 22.569 * [taylor]: Taking taylor expansion of N in N 22.569 * [backup-simplify]: Simplify 0 into 0 22.569 * [backup-simplify]: Simplify 1 into 1 22.570 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 22.571 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 22.571 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 22.571 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 22.571 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 22.571 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 22.571 * [taylor]: Taking taylor expansion of N in N 22.571 * [backup-simplify]: Simplify 0 into 0 22.571 * [backup-simplify]: Simplify 1 into 1 22.571 * [taylor]: Taking taylor expansion of 1.0 in N 22.571 * [backup-simplify]: Simplify 1.0 into 1.0 22.571 * [taylor]: Taking taylor expansion of N in N 22.571 * [backup-simplify]: Simplify 0 into 0 22.571 * [backup-simplify]: Simplify 1 into 1 22.572 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 22.572 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 22.573 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 22.574 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 22.574 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 22.575 * [backup-simplify]: Simplify (+ 1 0) into 1 22.576 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 22.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 22.582 * [backup-simplify]: Simplify 1.0 into 1.0 22.582 * [backup-simplify]: Simplify (+ 0 0) into 0 22.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 22.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 22.608 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 22.610 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 22.611 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 22.611 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 22.611 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 22.611 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 22.611 * [taylor]: Taking taylor expansion of N in N 22.611 * [backup-simplify]: Simplify 0 into 0 22.611 * [backup-simplify]: Simplify 1 into 1 22.611 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 22.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 22.611 * [taylor]: Taking taylor expansion of N in N 22.611 * [backup-simplify]: Simplify 0 into 0 22.611 * [backup-simplify]: Simplify 1 into 1 22.612 * [backup-simplify]: Simplify (/ 1 1) into 1 22.612 * [taylor]: Taking taylor expansion of 1.0 in N 22.612 * [backup-simplify]: Simplify 1.0 into 1.0 22.612 * [backup-simplify]: Simplify (+ 1 0) into 1 22.612 * [backup-simplify]: Simplify (* 0 1) into 0 22.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.614 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 22.615 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 22.615 * [backup-simplify]: Simplify (log 1) into 0 22.615 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 22.615 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 22.615 * [taylor]: Taking taylor expansion of N in N 22.615 * [backup-simplify]: Simplify 0 into 0 22.615 * [backup-simplify]: Simplify 1 into 1 22.615 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 22.615 * [taylor]: Taking taylor expansion of (/ 1 N) in N 22.616 * [taylor]: Taking taylor expansion of N in N 22.616 * [backup-simplify]: Simplify 0 into 0 22.616 * [backup-simplify]: Simplify 1 into 1 22.616 * [backup-simplify]: Simplify (/ 1 1) into 1 22.616 * [taylor]: Taking taylor expansion of 1.0 in N 22.616 * [backup-simplify]: Simplify 1.0 into 1.0 22.617 * [backup-simplify]: Simplify (+ 1 0) into 1 22.617 * [backup-simplify]: Simplify (* 0 1) into 0 22.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.619 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 22.620 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 22.620 * [backup-simplify]: Simplify (log 1) into 0 22.620 * [backup-simplify]: Simplify 0 into 0 22.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.622 * [backup-simplify]: Simplify (+ 0 0) into 0 22.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 22.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 22.632 * [backup-simplify]: Simplify 1.0 into 1.0 22.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.634 * [backup-simplify]: Simplify (+ 0 0) into 0 22.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 22.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 22.662 * [backup-simplify]: Simplify -0.5 into -0.5 22.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.664 * [backup-simplify]: Simplify (+ 0 0) into 0 22.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 22.685 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 22.685 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 22.686 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 22.686 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 22.686 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 22.686 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 22.686 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 22.686 * [taylor]: Taking taylor expansion of -1 in N 22.686 * [backup-simplify]: Simplify -1 into -1 22.686 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 22.686 * [taylor]: Taking taylor expansion of N in N 22.686 * [backup-simplify]: Simplify 0 into 0 22.686 * [backup-simplify]: Simplify 1 into 1 22.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 22.686 * [taylor]: Taking taylor expansion of 1.0 in N 22.687 * [backup-simplify]: Simplify 1.0 into 1.0 22.687 * [taylor]: Taking taylor expansion of (/ 1 N) in N 22.687 * [taylor]: Taking taylor expansion of N in N 22.687 * [backup-simplify]: Simplify 0 into 0 22.687 * [backup-simplify]: Simplify 1 into 1 22.687 * [backup-simplify]: Simplify (/ 1 1) into 1 22.687 * [backup-simplify]: Simplify (- 1) into -1 22.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 22.688 * [backup-simplify]: Simplify (* 0 -1) into 0 22.689 * [backup-simplify]: Simplify (* -1 0) into 0 22.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.690 * [backup-simplify]: Simplify (- 0) into 0 22.690 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 22.691 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 22.692 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 22.692 * [backup-simplify]: Simplify (log 1) into 0 22.692 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 22.692 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 22.692 * [taylor]: Taking taylor expansion of -1 in N 22.693 * [backup-simplify]: Simplify -1 into -1 22.693 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 22.693 * [taylor]: Taking taylor expansion of N in N 22.693 * [backup-simplify]: Simplify 0 into 0 22.693 * [backup-simplify]: Simplify 1 into 1 22.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 22.693 * [taylor]: Taking taylor expansion of 1.0 in N 22.693 * [backup-simplify]: Simplify 1.0 into 1.0 22.693 * [taylor]: Taking taylor expansion of (/ 1 N) in N 22.693 * [taylor]: Taking taylor expansion of N in N 22.693 * [backup-simplify]: Simplify 0 into 0 22.693 * [backup-simplify]: Simplify 1 into 1 22.694 * [backup-simplify]: Simplify (/ 1 1) into 1 22.694 * [backup-simplify]: Simplify (- 1) into -1 22.694 * [backup-simplify]: Simplify (+ 0 -1) into -1 22.695 * [backup-simplify]: Simplify (* 0 -1) into 0 22.695 * [backup-simplify]: Simplify (* -1 0) into 0 22.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.696 * [backup-simplify]: Simplify (- 0) into 0 22.697 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 22.698 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 22.699 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 22.699 * [backup-simplify]: Simplify (log 1) into 0 22.699 * [backup-simplify]: Simplify 0 into 0 22.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.701 * [backup-simplify]: Simplify (- 0) into 0 22.701 * [backup-simplify]: Simplify (+ 0 0) into 0 22.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 22.706 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 22.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 22.715 * [backup-simplify]: Simplify -1.0 into -1.0 22.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.716 * [backup-simplify]: Simplify (- 0) into 0 22.717 * [backup-simplify]: Simplify (+ 0 0) into 0 22.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 22.720 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 22.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 22.781 * [backup-simplify]: Simplify -0.5 into -0.5 22.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.785 * [backup-simplify]: Simplify (- 0) into 0 22.785 * [backup-simplify]: Simplify (+ 0 0) into 0 22.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 22.788 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 22.817 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 22.817 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 22.818 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 22.818 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 22.821 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 22.822 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 22.822 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 22.822 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 22.825 * [taylor]: Taking taylor expansion of N in N 22.825 * [backup-simplify]: Simplify 0 into 0 22.825 * [backup-simplify]: Simplify 1 into 1 22.825 * [taylor]: Taking taylor expansion of 1.0 in N 22.825 * [backup-simplify]: Simplify 1.0 into 1.0 22.825 * [taylor]: Taking taylor expansion of N in N 22.825 * [backup-simplify]: Simplify 0 into 0 22.825 * [backup-simplify]: Simplify 1 into 1 22.826 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 22.827 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 22.827 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 22.827 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 22.827 * [taylor]: Taking taylor expansion of N in N 22.827 * [backup-simplify]: Simplify 0 into 0 22.827 * [backup-simplify]: Simplify 1 into 1 22.827 * [taylor]: Taking taylor expansion of 1.0 in N 22.827 * [backup-simplify]: Simplify 1.0 into 1.0 22.827 * [taylor]: Taking taylor expansion of N in N 22.827 * [backup-simplify]: Simplify 0 into 0 22.827 * [backup-simplify]: Simplify 1 into 1 22.827 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 22.828 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 22.828 * [backup-simplify]: Simplify 1.0 into 1.0 22.828 * [backup-simplify]: Simplify (+ 1 0) into 1 22.829 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 22.830 * [backup-simplify]: Simplify 1 into 1 22.830 * [backup-simplify]: Simplify (+ 0 0) into 0 22.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 22.831 * [backup-simplify]: Simplify 0 into 0 22.831 * [backup-simplify]: Simplify (+ 0 0) into 0 22.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.832 * [backup-simplify]: Simplify 0 into 0 22.833 * [backup-simplify]: Simplify (+ 0 0) into 0 22.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.834 * [backup-simplify]: Simplify 0 into 0 22.835 * [backup-simplify]: Simplify (+ 0 0) into 0 22.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.836 * [backup-simplify]: Simplify 0 into 0 22.836 * [backup-simplify]: Simplify (+ 0 0) into 0 22.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.838 * [backup-simplify]: Simplify 0 into 0 22.842 * [backup-simplify]: Simplify (+ 0 0) into 0 22.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.843 * [backup-simplify]: Simplify 0 into 0 22.843 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 22.844 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 22.844 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 22.844 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 22.844 * [taylor]: Taking taylor expansion of N in N 22.844 * [backup-simplify]: Simplify 0 into 0 22.844 * [backup-simplify]: Simplify 1 into 1 22.844 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 22.844 * [taylor]: Taking taylor expansion of (/ 1 N) in N 22.844 * [taylor]: Taking taylor expansion of N in N 22.844 * [backup-simplify]: Simplify 0 into 0 22.844 * [backup-simplify]: Simplify 1 into 1 22.844 * [backup-simplify]: Simplify (/ 1 1) into 1 22.844 * [taylor]: Taking taylor expansion of 1.0 in N 22.844 * [backup-simplify]: Simplify 1.0 into 1.0 22.844 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 22.844 * [taylor]: Taking taylor expansion of N in N 22.844 * [backup-simplify]: Simplify 0 into 0 22.844 * [backup-simplify]: Simplify 1 into 1 22.844 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 22.845 * [taylor]: Taking taylor expansion of (/ 1 N) in N 22.845 * [taylor]: Taking taylor expansion of N in N 22.845 * [backup-simplify]: Simplify 0 into 0 22.845 * [backup-simplify]: Simplify 1 into 1 22.845 * [backup-simplify]: Simplify (/ 1 1) into 1 22.845 * [taylor]: Taking taylor expansion of 1.0 in N 22.845 * [backup-simplify]: Simplify 1.0 into 1.0 22.846 * [backup-simplify]: Simplify (+ 1 0) into 1 22.846 * [backup-simplify]: Simplify (* 0 1) into 0 22.846 * [backup-simplify]: Simplify 0 into 0 22.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.847 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 22.848 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 22.848 * [backup-simplify]: Simplify 1 into 1 22.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.849 * [backup-simplify]: Simplify (+ 0 0) into 0 22.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 22.852 * [backup-simplify]: Simplify 1.0 into 1.0 22.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.853 * [backup-simplify]: Simplify (+ 0 0) into 0 22.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 22.855 * [backup-simplify]: Simplify 0 into 0 22.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.856 * [backup-simplify]: Simplify (+ 0 0) into 0 22.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 22.858 * [backup-simplify]: Simplify 0 into 0 22.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.859 * [backup-simplify]: Simplify (+ 0 0) into 0 22.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 22.861 * [backup-simplify]: Simplify 0 into 0 22.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.862 * [backup-simplify]: Simplify (+ 0 0) into 0 22.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 22.864 * [backup-simplify]: Simplify 0 into 0 22.865 * [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 22.866 * [backup-simplify]: Simplify (+ 0 0) into 0 22.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 22.868 * [backup-simplify]: Simplify 0 into 0 22.869 * [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 22.869 * [backup-simplify]: Simplify (+ 0 0) into 0 22.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 22.872 * [backup-simplify]: Simplify 0 into 0 22.872 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 22.873 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 22.873 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 22.873 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 22.873 * [taylor]: Taking taylor expansion of -1 in N 22.873 * [backup-simplify]: Simplify -1 into -1 22.873 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 22.873 * [taylor]: Taking taylor expansion of N in N 22.873 * [backup-simplify]: Simplify 0 into 0 22.873 * [backup-simplify]: Simplify 1 into 1 22.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 22.873 * [taylor]: Taking taylor expansion of 1.0 in N 22.873 * [backup-simplify]: Simplify 1.0 into 1.0 22.873 * [taylor]: Taking taylor expansion of (/ 1 N) in N 22.873 * [taylor]: Taking taylor expansion of N in N 22.873 * [backup-simplify]: Simplify 0 into 0 22.873 * [backup-simplify]: Simplify 1 into 1 22.874 * [backup-simplify]: Simplify (/ 1 1) into 1 22.874 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 22.874 * [taylor]: Taking taylor expansion of -1 in N 22.874 * [backup-simplify]: Simplify -1 into -1 22.874 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 22.874 * [taylor]: Taking taylor expansion of N in N 22.874 * [backup-simplify]: Simplify 0 into 0 22.874 * [backup-simplify]: Simplify 1 into 1 22.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 22.874 * [taylor]: Taking taylor expansion of 1.0 in N 22.874 * [backup-simplify]: Simplify 1.0 into 1.0 22.874 * [taylor]: Taking taylor expansion of (/ 1 N) in N 22.874 * [taylor]: Taking taylor expansion of N in N 22.874 * [backup-simplify]: Simplify 0 into 0 22.874 * [backup-simplify]: Simplify 1 into 1 22.874 * [backup-simplify]: Simplify (/ 1 1) into 1 22.875 * [backup-simplify]: Simplify (- 1) into -1 22.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 22.876 * [backup-simplify]: Simplify (* 0 -1) into 0 22.876 * [backup-simplify]: Simplify (* -1 0) into 0 22.876 * [backup-simplify]: Simplify 0 into 0 22.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.877 * [backup-simplify]: Simplify (- 0) into 0 22.878 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 22.879 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 22.879 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 22.879 * [backup-simplify]: Simplify 1 into 1 22.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.881 * [backup-simplify]: Simplify (- 0) into 0 22.881 * [backup-simplify]: Simplify (+ 0 0) into 0 22.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 22.886 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 22.886 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 22.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.890 * [backup-simplify]: Simplify (- 0) into 0 22.890 * [backup-simplify]: Simplify (+ 0 0) into 0 22.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 22.893 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 22.894 * [backup-simplify]: Simplify 0 into 0 22.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.895 * [backup-simplify]: Simplify (- 0) into 0 22.896 * [backup-simplify]: Simplify (+ 0 0) into 0 22.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 22.899 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 22.899 * [backup-simplify]: Simplify 0 into 0 22.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.900 * [backup-simplify]: Simplify (- 0) into 0 22.901 * [backup-simplify]: Simplify (+ 0 0) into 0 22.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 22.905 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 22.905 * [backup-simplify]: Simplify 0 into 0 22.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.907 * [backup-simplify]: Simplify (- 0) into 0 22.907 * [backup-simplify]: Simplify (+ 0 0) into 0 22.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 22.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 22.912 * [backup-simplify]: Simplify 0 into 0 22.913 * [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 22.913 * [backup-simplify]: Simplify (- 0) into 0 22.914 * [backup-simplify]: Simplify (+ 0 0) into 0 22.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 22.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 22.919 * [backup-simplify]: Simplify 0 into 0 22.920 * [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 22.920 * [backup-simplify]: Simplify (- 0) into 0 22.921 * [backup-simplify]: Simplify (+ 0 0) into 0 22.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 22.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 22.926 * [backup-simplify]: Simplify 0 into 0 22.927 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 22.927 * * * [progress]: simplifying candidates 22.950 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 22.952 * * [simplify]: iteration 0: 112 enodes 23.205 * * [simplify]: iteration 1: 253 enodes 23.518 * * [simplify]: iteration 2: 621 enodes 24.986 * * [simplify]: iteration 3: 2308 enodes 28.796 * * [simplify]: iteration complete: 5001 enodes 28.797 * * [simplify]: Extracting #0: cost 67 inf + 0 28.803 * * [simplify]: Extracting #1: cost 602 inf + 2 28.817 * * [simplify]: Extracting #2: cost 1435 inf + 5949 28.852 * * [simplify]: Extracting #3: cost 1059 inf + 79814 29.005 * * [simplify]: Extracting #4: cost 217 inf + 226303 29.141 * * [simplify]: Extracting #5: cost 37 inf + 271774 29.430 * * [simplify]: Extracting #6: cost 0 inf + 284096 29.536 * [simplify]: Simplified to: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (+ (log (cbrt (+ 1.0 N))) (log (cbrt (+ 1.0 N)))) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (/ (sqrt (+ 1.0 N)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (sqrt (+ 1.0 N))) (log (/ (sqrt (+ 1.0 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) 0 (log (/ (+ 1.0 N) N)) 0 (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (- (log N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (/ (+ 1.0 N) N) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (log (/ (+ 1.0 N) N)) (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (expm1 (/ (+ 1.0 N) N)) (log1p (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (* (/ (+ 1.0 N) N) (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N))) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (+ N 1.0)) (- N) (* (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (cbrt (+ 1.0 N)) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (* (/ (cbrt (+ 1.0 N)) (sqrt N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) (sqrt N)) (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (/ (cbrt (+ 1.0 N)) N) (/ (/ (sqrt (+ 1.0 N)) (cbrt N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (sqrt (+ 1.0 N)) (/ (sqrt (+ 1.0 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (fma 1.0 (- 1.0 N) (* N N))) (* N (- N 1.0)) (fma N 1.0 (- (log 1.0) (fma (/ N 1.0) (* (/ N 1.0) 1/2) (log N)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 29.542 * * * [progress]: adding candidates to table 30.020 * * [progress]: iteration 4 / 4 30.021 * * * [progress]: picking best candidate 30.028 * * * * [pick]: Picked # 30.028 * * * [progress]: localizing error 30.077 * * * [progress]: generating rewritten candidates 30.077 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 30.086 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 30.103 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 30.136 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 30.176 * * * [progress]: generating series expansions 30.176 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 30.176 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 30.176 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 30.176 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 30.176 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 30.176 * [taylor]: Taking taylor expansion of N in N 30.176 * [backup-simplify]: Simplify 0 into 0 30.176 * [backup-simplify]: Simplify 1 into 1 30.176 * [taylor]: Taking taylor expansion of 1.0 in N 30.176 * [backup-simplify]: Simplify 1.0 into 1.0 30.177 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.178 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 30.178 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 30.178 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 30.178 * [taylor]: Taking taylor expansion of N in N 30.178 * [backup-simplify]: Simplify 0 into 0 30.178 * [backup-simplify]: Simplify 1 into 1 30.178 * [taylor]: Taking taylor expansion of 1.0 in N 30.178 * [backup-simplify]: Simplify 1.0 into 1.0 30.178 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.179 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 30.179 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 30.180 * [backup-simplify]: Simplify (+ 1 0) into 1 30.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 30.185 * [backup-simplify]: Simplify 1.0 into 1.0 30.188 * [backup-simplify]: Simplify (+ 0 0) into 0 30.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 30.200 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 30.206 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 30.206 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 30.206 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 30.206 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 30.206 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 30.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.206 * [taylor]: Taking taylor expansion of N in N 30.207 * [backup-simplify]: Simplify 0 into 0 30.207 * [backup-simplify]: Simplify 1 into 1 30.213 * [backup-simplify]: Simplify (/ 1 1) into 1 30.213 * [taylor]: Taking taylor expansion of 1.0 in N 30.213 * [backup-simplify]: Simplify 1.0 into 1.0 30.214 * [backup-simplify]: Simplify (+ 1 0) into 1 30.215 * [backup-simplify]: Simplify (log 1) into 0 30.215 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 30.215 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 30.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.215 * [taylor]: Taking taylor expansion of N in N 30.215 * [backup-simplify]: Simplify 0 into 0 30.215 * [backup-simplify]: Simplify 1 into 1 30.215 * [backup-simplify]: Simplify (/ 1 1) into 1 30.215 * [taylor]: Taking taylor expansion of 1.0 in N 30.216 * [backup-simplify]: Simplify 1.0 into 1.0 30.216 * [backup-simplify]: Simplify (+ 1 0) into 1 30.216 * [backup-simplify]: Simplify (log 1) into 0 30.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 30.217 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 30.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.219 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 30.234 * [backup-simplify]: Simplify 1.0 into 1.0 30.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.236 * [backup-simplify]: Simplify (+ 0 0) into 0 30.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 30.251 * [backup-simplify]: Simplify -0.5 into -0.5 30.252 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 30.252 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 30.252 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 30.252 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 30.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 30.252 * [taylor]: Taking taylor expansion of 1.0 in N 30.252 * [backup-simplify]: Simplify 1.0 into 1.0 30.252 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.252 * [taylor]: Taking taylor expansion of N in N 30.252 * [backup-simplify]: Simplify 0 into 0 30.252 * [backup-simplify]: Simplify 1 into 1 30.252 * [backup-simplify]: Simplify (/ 1 1) into 1 30.253 * [backup-simplify]: Simplify (- 1) into -1 30.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.254 * [backup-simplify]: Simplify (log -1) into (log -1) 30.254 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 30.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 30.254 * [taylor]: Taking taylor expansion of 1.0 in N 30.254 * [backup-simplify]: Simplify 1.0 into 1.0 30.254 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.254 * [taylor]: Taking taylor expansion of N in N 30.254 * [backup-simplify]: Simplify 0 into 0 30.254 * [backup-simplify]: Simplify 1 into 1 30.254 * [backup-simplify]: Simplify (/ 1 1) into 1 30.255 * [backup-simplify]: Simplify (- 1) into -1 30.255 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.256 * [backup-simplify]: Simplify (log -1) into (log -1) 30.262 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 30.263 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 30.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.264 * [backup-simplify]: Simplify (- 0) into 0 30.264 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 30.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 30.399 * [backup-simplify]: Simplify -1.0 into -1.0 30.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.411 * [backup-simplify]: Simplify (- 0) into 0 30.411 * [backup-simplify]: Simplify (+ 0 0) into 0 30.443 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 30.443 * [backup-simplify]: Simplify -0.5 into -0.5 30.444 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 30.444 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 30.444 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 30.444 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 30.444 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 30.444 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 30.448 * [taylor]: Taking taylor expansion of N in N 30.448 * [backup-simplify]: Simplify 0 into 0 30.448 * [backup-simplify]: Simplify 1 into 1 30.448 * [taylor]: Taking taylor expansion of 1.0 in N 30.448 * [backup-simplify]: Simplify 1.0 into 1.0 30.449 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.449 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 30.449 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 30.449 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 30.449 * [taylor]: Taking taylor expansion of N in N 30.449 * [backup-simplify]: Simplify 0 into 0 30.449 * [backup-simplify]: Simplify 1 into 1 30.449 * [taylor]: Taking taylor expansion of 1.0 in N 30.449 * [backup-simplify]: Simplify 1.0 into 1.0 30.450 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.450 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 30.451 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 30.451 * [backup-simplify]: Simplify (+ 1 0) into 1 30.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 30.460 * [backup-simplify]: Simplify 1.0 into 1.0 30.460 * [backup-simplify]: Simplify (+ 0 0) into 0 30.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 30.473 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 30.475 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 30.475 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 30.475 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 30.475 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 30.475 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 30.475 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.475 * [taylor]: Taking taylor expansion of N in N 30.475 * [backup-simplify]: Simplify 0 into 0 30.475 * [backup-simplify]: Simplify 1 into 1 30.476 * [backup-simplify]: Simplify (/ 1 1) into 1 30.476 * [taylor]: Taking taylor expansion of 1.0 in N 30.476 * [backup-simplify]: Simplify 1.0 into 1.0 30.476 * [backup-simplify]: Simplify (+ 1 0) into 1 30.476 * [backup-simplify]: Simplify (log 1) into 0 30.477 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 30.477 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 30.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.477 * [taylor]: Taking taylor expansion of N in N 30.477 * [backup-simplify]: Simplify 0 into 0 30.477 * [backup-simplify]: Simplify 1 into 1 30.477 * [backup-simplify]: Simplify (/ 1 1) into 1 30.477 * [taylor]: Taking taylor expansion of 1.0 in N 30.477 * [backup-simplify]: Simplify 1.0 into 1.0 30.478 * [backup-simplify]: Simplify (+ 1 0) into 1 30.478 * [backup-simplify]: Simplify (log 1) into 0 30.479 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 30.479 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 30.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.480 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 30.487 * [backup-simplify]: Simplify 1.0 into 1.0 30.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.488 * [backup-simplify]: Simplify (+ 0 0) into 0 30.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 30.533 * [backup-simplify]: Simplify -0.5 into -0.5 30.534 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 30.534 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 30.534 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 30.534 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 30.534 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 30.534 * [taylor]: Taking taylor expansion of 1.0 in N 30.534 * [backup-simplify]: Simplify 1.0 into 1.0 30.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.534 * [taylor]: Taking taylor expansion of N in N 30.534 * [backup-simplify]: Simplify 0 into 0 30.534 * [backup-simplify]: Simplify 1 into 1 30.534 * [backup-simplify]: Simplify (/ 1 1) into 1 30.535 * [backup-simplify]: Simplify (- 1) into -1 30.535 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.536 * [backup-simplify]: Simplify (log -1) into (log -1) 30.536 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 30.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 30.536 * [taylor]: Taking taylor expansion of 1.0 in N 30.536 * [backup-simplify]: Simplify 1.0 into 1.0 30.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.536 * [taylor]: Taking taylor expansion of N in N 30.536 * [backup-simplify]: Simplify 0 into 0 30.536 * [backup-simplify]: Simplify 1 into 1 30.536 * [backup-simplify]: Simplify (/ 1 1) into 1 30.537 * [backup-simplify]: Simplify (- 1) into -1 30.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.555 * [backup-simplify]: Simplify (log -1) into (log -1) 30.556 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 30.556 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 30.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.558 * [backup-simplify]: Simplify (- 0) into 0 30.558 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 30.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 30.565 * [backup-simplify]: Simplify -1.0 into -1.0 30.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.567 * [backup-simplify]: Simplify (- 0) into 0 30.567 * [backup-simplify]: Simplify (+ 0 0) into 0 30.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 30.581 * [backup-simplify]: Simplify -0.5 into -0.5 30.582 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 30.583 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 30.583 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 30.583 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 30.583 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 30.583 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 30.583 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 30.583 * [taylor]: Taking taylor expansion of N in N 30.583 * [backup-simplify]: Simplify 0 into 0 30.583 * [backup-simplify]: Simplify 1 into 1 30.583 * [taylor]: Taking taylor expansion of 1.0 in N 30.583 * [backup-simplify]: Simplify 1.0 into 1.0 30.583 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.584 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 30.584 * [taylor]: Taking taylor expansion of (log N) in N 30.584 * [taylor]: Taking taylor expansion of N in N 30.584 * [backup-simplify]: Simplify 0 into 0 30.584 * [backup-simplify]: Simplify 1 into 1 30.584 * [backup-simplify]: Simplify (log 1) into 0 30.584 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 30.584 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 30.584 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 30.585 * [taylor]: Taking taylor expansion of N in N 30.585 * [backup-simplify]: Simplify 0 into 0 30.585 * [backup-simplify]: Simplify 1 into 1 30.585 * [taylor]: Taking taylor expansion of 1.0 in N 30.585 * [backup-simplify]: Simplify 1.0 into 1.0 30.585 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.586 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 30.586 * [taylor]: Taking taylor expansion of (log N) in N 30.586 * [taylor]: Taking taylor expansion of N in N 30.586 * [backup-simplify]: Simplify 0 into 0 30.586 * [backup-simplify]: Simplify 1 into 1 30.586 * [backup-simplify]: Simplify (log 1) into 0 30.587 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 30.587 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 30.588 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 30.588 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 30.589 * [backup-simplify]: Simplify (+ 1 0) into 1 30.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 30.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.596 * [backup-simplify]: Simplify (- 0) into 0 30.596 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 30.596 * [backup-simplify]: Simplify 1.0 into 1.0 30.597 * [backup-simplify]: Simplify (+ 0 0) into 0 30.617 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 30.620 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.620 * [backup-simplify]: Simplify (- 0) into 0 30.625 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 30.628 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 30.633 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 30.633 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 30.633 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 30.633 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 30.633 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 30.633 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 30.633 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.633 * [taylor]: Taking taylor expansion of N in N 30.633 * [backup-simplify]: Simplify 0 into 0 30.633 * [backup-simplify]: Simplify 1 into 1 30.634 * [backup-simplify]: Simplify (/ 1 1) into 1 30.634 * [taylor]: Taking taylor expansion of 1.0 in N 30.634 * [backup-simplify]: Simplify 1.0 into 1.0 30.634 * [backup-simplify]: Simplify (+ 1 0) into 1 30.635 * [backup-simplify]: Simplify (log 1) into 0 30.635 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 30.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.635 * [taylor]: Taking taylor expansion of N in N 30.635 * [backup-simplify]: Simplify 0 into 0 30.635 * [backup-simplify]: Simplify 1 into 1 30.635 * [backup-simplify]: Simplify (/ 1 1) into 1 30.636 * [backup-simplify]: Simplify (log 1) into 0 30.636 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 30.636 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 30.636 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 30.636 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.636 * [taylor]: Taking taylor expansion of N in N 30.636 * [backup-simplify]: Simplify 0 into 0 30.636 * [backup-simplify]: Simplify 1 into 1 30.636 * [backup-simplify]: Simplify (/ 1 1) into 1 30.636 * [taylor]: Taking taylor expansion of 1.0 in N 30.636 * [backup-simplify]: Simplify 1.0 into 1.0 30.637 * [backup-simplify]: Simplify (+ 1 0) into 1 30.637 * [backup-simplify]: Simplify (log 1) into 0 30.637 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 30.637 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.637 * [taylor]: Taking taylor expansion of N in N 30.637 * [backup-simplify]: Simplify 0 into 0 30.637 * [backup-simplify]: Simplify 1 into 1 30.638 * [backup-simplify]: Simplify (/ 1 1) into 1 30.638 * [backup-simplify]: Simplify (log 1) into 0 30.638 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 30.639 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 30.639 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 30.639 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 30.639 * [backup-simplify]: Simplify 0 into 0 30.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.642 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 30.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.655 * [backup-simplify]: Simplify (- 0) into 0 30.655 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 30.656 * [backup-simplify]: Simplify 1.0 into 1.0 30.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.657 * [backup-simplify]: Simplify (+ 0 0) into 0 30.798 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 30.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.809 * [backup-simplify]: Simplify (- 0) into 0 30.813 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 30.822 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 30.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.824 * [backup-simplify]: Simplify (+ 0 0) into 0 30.867 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 30.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.873 * [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 30.878 * [backup-simplify]: Simplify (- 0) into 0 30.878 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 30.878 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 30.879 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 30.879 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 30.879 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 30.879 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 30.879 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 30.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 30.880 * [taylor]: Taking taylor expansion of 1.0 in N 30.880 * [backup-simplify]: Simplify 1.0 into 1.0 30.880 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.880 * [taylor]: Taking taylor expansion of N in N 30.880 * [backup-simplify]: Simplify 0 into 0 30.880 * [backup-simplify]: Simplify 1 into 1 30.880 * [backup-simplify]: Simplify (/ 1 1) into 1 30.880 * [backup-simplify]: Simplify (- 1) into -1 30.881 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.881 * [backup-simplify]: Simplify (log -1) into (log -1) 30.885 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 30.885 * [taylor]: Taking taylor expansion of (/ -1 N) in N 30.885 * [taylor]: Taking taylor expansion of -1 in N 30.885 * [backup-simplify]: Simplify -1 into -1 30.885 * [taylor]: Taking taylor expansion of N in N 30.885 * [backup-simplify]: Simplify 0 into 0 30.885 * [backup-simplify]: Simplify 1 into 1 30.886 * [backup-simplify]: Simplify (/ -1 1) into -1 30.887 * [backup-simplify]: Simplify (log -1) into (log -1) 30.887 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 30.887 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 30.887 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 30.887 * [taylor]: Taking taylor expansion of 1.0 in N 30.887 * [backup-simplify]: Simplify 1.0 into 1.0 30.887 * [taylor]: Taking taylor expansion of (/ 1 N) in N 30.887 * [taylor]: Taking taylor expansion of N in N 30.887 * [backup-simplify]: Simplify 0 into 0 30.887 * [backup-simplify]: Simplify 1 into 1 30.887 * [backup-simplify]: Simplify (/ 1 1) into 1 30.887 * [backup-simplify]: Simplify (- 1) into -1 30.888 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.888 * [backup-simplify]: Simplify (log -1) into (log -1) 30.888 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 30.888 * [taylor]: Taking taylor expansion of (/ -1 N) in N 30.888 * [taylor]: Taking taylor expansion of -1 in N 30.888 * [backup-simplify]: Simplify -1 into -1 30.888 * [taylor]: Taking taylor expansion of N in N 30.888 * [backup-simplify]: Simplify 0 into 0 30.888 * [backup-simplify]: Simplify 1 into 1 30.889 * [backup-simplify]: Simplify (/ -1 1) into -1 30.894 * [backup-simplify]: Simplify (log -1) into (log -1) 30.895 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 30.895 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 30.896 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 30.897 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 30.897 * [backup-simplify]: Simplify 0 into 0 30.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.899 * [backup-simplify]: Simplify (- 0) into 0 30.899 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 30.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 30.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 30.909 * [backup-simplify]: Simplify (- 0) into 0 30.909 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 30.910 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 30.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.911 * [backup-simplify]: Simplify (- 0) into 0 30.912 * [backup-simplify]: Simplify (+ 0 0) into 0 30.923 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 30.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 30.928 * [backup-simplify]: Simplify (- 0) into 0 30.928 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 30.928 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 30.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.929 * [backup-simplify]: Simplify (- 0) into 0 30.930 * [backup-simplify]: Simplify (+ 0 0) into 0 30.948 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 30.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.959 * [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 30.959 * [backup-simplify]: Simplify (- 0) into 0 30.959 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 30.960 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 30.961 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 30.962 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 30.962 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 30.962 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 30.962 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 30.962 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 30.962 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 30.962 * [taylor]: Taking taylor expansion of N in N 30.962 * [backup-simplify]: Simplify 0 into 0 30.962 * [backup-simplify]: Simplify 1 into 1 30.962 * [taylor]: Taking taylor expansion of 1.0 in N 30.962 * [backup-simplify]: Simplify 1.0 into 1.0 30.963 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.963 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 30.963 * [taylor]: Taking taylor expansion of (log N) in N 30.963 * [taylor]: Taking taylor expansion of N in N 30.963 * [backup-simplify]: Simplify 0 into 0 30.963 * [backup-simplify]: Simplify 1 into 1 30.964 * [backup-simplify]: Simplify (log 1) into 0 30.964 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 30.964 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 30.964 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 30.964 * [taylor]: Taking taylor expansion of N in N 30.964 * [backup-simplify]: Simplify 0 into 0 30.964 * [backup-simplify]: Simplify 1 into 1 30.964 * [taylor]: Taking taylor expansion of 1.0 in N 30.964 * [backup-simplify]: Simplify 1.0 into 1.0 30.964 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 30.964 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 30.964 * [taylor]: Taking taylor expansion of (log N) in N 30.964 * [taylor]: Taking taylor expansion of N in N 30.964 * [backup-simplify]: Simplify 0 into 0 30.964 * [backup-simplify]: Simplify 1 into 1 30.965 * [backup-simplify]: Simplify (log 1) into 0 30.965 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 30.965 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 30.965 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 30.966 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 30.966 * [backup-simplify]: Simplify (+ 1 0) into 1 30.971 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 30.973 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.973 * [backup-simplify]: Simplify (- 0) into 0 30.974 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 30.974 * [backup-simplify]: Simplify 1.0 into 1.0 30.974 * [backup-simplify]: Simplify (+ 0 0) into 0 30.985 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 30.988 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.988 * [backup-simplify]: Simplify (- 0) into 0 30.990 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 30.994 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 31.152 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 31.153 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 31.153 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 31.153 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 31.153 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 31.153 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 31.153 * [taylor]: Taking taylor expansion of (/ 1 N) in N 31.153 * [taylor]: Taking taylor expansion of N in N 31.153 * [backup-simplify]: Simplify 0 into 0 31.153 * [backup-simplify]: Simplify 1 into 1 31.161 * [backup-simplify]: Simplify (/ 1 1) into 1 31.161 * [taylor]: Taking taylor expansion of 1.0 in N 31.161 * [backup-simplify]: Simplify 1.0 into 1.0 31.161 * [backup-simplify]: Simplify (+ 1 0) into 1 31.162 * [backup-simplify]: Simplify (log 1) into 0 31.162 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 31.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 31.162 * [taylor]: Taking taylor expansion of N in N 31.162 * [backup-simplify]: Simplify 0 into 0 31.162 * [backup-simplify]: Simplify 1 into 1 31.162 * [backup-simplify]: Simplify (/ 1 1) into 1 31.163 * [backup-simplify]: Simplify (log 1) into 0 31.163 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 31.163 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 31.163 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 31.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 31.163 * [taylor]: Taking taylor expansion of N in N 31.163 * [backup-simplify]: Simplify 0 into 0 31.163 * [backup-simplify]: Simplify 1 into 1 31.163 * [backup-simplify]: Simplify (/ 1 1) into 1 31.163 * [taylor]: Taking taylor expansion of 1.0 in N 31.163 * [backup-simplify]: Simplify 1.0 into 1.0 31.164 * [backup-simplify]: Simplify (+ 1 0) into 1 31.164 * [backup-simplify]: Simplify (log 1) into 0 31.164 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 31.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 31.164 * [taylor]: Taking taylor expansion of N in N 31.164 * [backup-simplify]: Simplify 0 into 0 31.164 * [backup-simplify]: Simplify 1 into 1 31.164 * [backup-simplify]: Simplify (/ 1 1) into 1 31.165 * [backup-simplify]: Simplify (log 1) into 0 31.166 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 31.167 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 31.167 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 31.167 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 31.167 * [backup-simplify]: Simplify 0 into 0 31.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.168 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 31.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 31.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 31.182 * [backup-simplify]: Simplify (- 0) into 0 31.182 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 31.182 * [backup-simplify]: Simplify 1.0 into 1.0 31.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.187 * [backup-simplify]: Simplify (+ 0 0) into 0 31.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 31.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 31.216 * [backup-simplify]: Simplify (- 0) into 0 31.217 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 31.217 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 31.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.223 * [backup-simplify]: Simplify (+ 0 0) into 0 31.269 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 31.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.275 * [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 31.276 * [backup-simplify]: Simplify (- 0) into 0 31.276 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 31.276 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 31.282 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 31.282 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 31.282 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 31.282 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 31.282 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 31.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 31.282 * [taylor]: Taking taylor expansion of 1.0 in N 31.282 * [backup-simplify]: Simplify 1.0 into 1.0 31.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N 31.282 * [taylor]: Taking taylor expansion of N in N 31.282 * [backup-simplify]: Simplify 0 into 0 31.282 * [backup-simplify]: Simplify 1 into 1 31.283 * [backup-simplify]: Simplify (/ 1 1) into 1 31.283 * [backup-simplify]: Simplify (- 1) into -1 31.283 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.284 * [backup-simplify]: Simplify (log -1) into (log -1) 31.284 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 31.284 * [taylor]: Taking taylor expansion of (/ -1 N) in N 31.284 * [taylor]: Taking taylor expansion of -1 in N 31.284 * [backup-simplify]: Simplify -1 into -1 31.284 * [taylor]: Taking taylor expansion of N in N 31.284 * [backup-simplify]: Simplify 0 into 0 31.284 * [backup-simplify]: Simplify 1 into 1 31.284 * [backup-simplify]: Simplify (/ -1 1) into -1 31.284 * [backup-simplify]: Simplify (log -1) into (log -1) 31.284 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 31.284 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 31.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 31.284 * [taylor]: Taking taylor expansion of 1.0 in N 31.284 * [backup-simplify]: Simplify 1.0 into 1.0 31.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 31.284 * [taylor]: Taking taylor expansion of N in N 31.284 * [backup-simplify]: Simplify 0 into 0 31.284 * [backup-simplify]: Simplify 1 into 1 31.285 * [backup-simplify]: Simplify (/ 1 1) into 1 31.285 * [backup-simplify]: Simplify (- 1) into -1 31.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.292 * [backup-simplify]: Simplify (log -1) into (log -1) 31.292 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 31.292 * [taylor]: Taking taylor expansion of (/ -1 N) in N 31.292 * [taylor]: Taking taylor expansion of -1 in N 31.292 * [backup-simplify]: Simplify -1 into -1 31.292 * [taylor]: Taking taylor expansion of N in N 31.292 * [backup-simplify]: Simplify 0 into 0 31.292 * [backup-simplify]: Simplify 1 into 1 31.293 * [backup-simplify]: Simplify (/ -1 1) into -1 31.293 * [backup-simplify]: Simplify (log -1) into (log -1) 31.294 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 31.295 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 31.296 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 31.296 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 31.296 * [backup-simplify]: Simplify 0 into 0 31.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.298 * [backup-simplify]: Simplify (- 0) into 0 31.298 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 31.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 31.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 31.308 * [backup-simplify]: Simplify (- 0) into 0 31.320 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 31.321 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 31.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.323 * [backup-simplify]: Simplify (- 0) into 0 31.323 * [backup-simplify]: Simplify (+ 0 0) into 0 31.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 31.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.351 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 31.351 * [backup-simplify]: Simplify (- 0) into 0 31.352 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 31.352 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 31.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.353 * [backup-simplify]: Simplify (- 0) into 0 31.354 * [backup-simplify]: Simplify (+ 0 0) into 0 31.374 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 31.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.381 * [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 31.382 * [backup-simplify]: Simplify (- 0) into 0 31.382 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 31.383 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 31.384 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 31.392 * * * [progress]: simplifying candidates 31.396 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 31.400 * * [simplify]: iteration 0: 127 enodes 31.469 * * [simplify]: iteration 1: 287 enodes 31.676 * * [simplify]: iteration 2: 691 enodes 33.321 * * [simplify]: iteration 3: 2053 enodes 38.896 * * [simplify]: iteration complete: 5001 enodes 38.897 * * [simplify]: Extracting #0: cost 43 inf + 0 38.899 * * [simplify]: Extracting #1: cost 360 inf + 1 38.934 * * [simplify]: Extracting #2: cost 988 inf + 1690 38.965 * * [simplify]: Extracting #3: cost 1028 inf + 28912 39.174 * * [simplify]: Extracting #4: cost 427 inf + 167930 39.297 * * [simplify]: Extracting #5: cost 68 inf + 292036 39.544 * * [simplify]: Extracting #6: cost 22 inf + 307509 39.773 * * [simplify]: Extracting #7: cost 5 inf + 310122 39.869 * * [simplify]: Extracting #8: cost 0 inf + 311387 40.143 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (fma (* N N) N (* (* 1.0 1.0) 1.0))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (fma (* N N) N (* (* 1.0 1.0) 1.0))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (- (log (+ N 1.0)) (log N)) (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (* (* (log N) (log N)) (log N))) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0))))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ N 1.0)))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (- (log (+ N 1.0)) (log N)) (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (* (* (log N) (log N)) (log N))) (fma (log N) (log N) (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0))))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log N) (log (+ N 1.0)))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (fma 1.0 N (log 1.0))) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (+ (- (/ 1.0 N) (/ (/ 0.5 N) N)) (log N)) (- (fma 1.0 N (log 1.0)) (fma (* (/ N 1.0) (/ N 1.0)) 1/2 (log N))) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) (- (fma 1.0 N (log 1.0)) (fma (* (/ N 1.0) (/ N 1.0)) 1/2 (log N))) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) (fma (/ 1 (* N N)) (+ (/ 0.3333333333333333 N) (- 0.5)) (/ 1.0 N)) 40.166 * * * [progress]: adding candidates to table 41.561 * [progress]: [Phase 3 of 3] Extracting. 41.585 * * [regime]: Finding splitpoints for: (# # #) 41.587 * * * [regime-changes]: Trying 1 branch expressions: (N) 41.587 * * * * [regimes]: Trying to branch on N from (# # #) 41.672 * * * [regime]: Found split indices: #