* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * * * * [misc]progress: [ 2 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * * * * [misc]progress: [ 3 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 4 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 5 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 6 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [exit]simplify: Simplified to (/ (+ N 1) N) * * * * [misc]progress: [ 7 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p N)) N) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * * * * [misc]progress: [ 8 / 22 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * * * * [misc]progress: [ 10 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * * * * [misc]progress: [ 11 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [enter]simplify: Simplifying (cbrt (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * * * * [misc]progress: [ 12 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * * * * [misc]progress: [ 13 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [enter]simplify: Simplifying (sqrt (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * * * * [misc]progress: [ 14 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [enter]simplify: Simplifying (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) * * * * [misc]progress: [ 15 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 16 / 22 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log1p N) (log1p N)) (* (log N) (log N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (+ (log N) (log1p N)) (- (log1p N) (log N))) * [exit]simplify: Simplified to (* (+ (log N) (log1p N)) (- (log1p N) (log N))) * [enter]simplify: Simplifying (+ (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * * * * [misc]progress: [ 18 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log1p N)) (sqrt (log N))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log1p N))) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log1p N))) * [enter]simplify: Simplifying (- (sqrt (log1p N)) (sqrt (log N))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * * * * [misc]progress: [ 19 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 20 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- N (fma (* N N) 1/2 (log N))) * * * * [misc]progress: [ 21 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 22 / 22 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 3) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]backup-simplify: Simplify (- (pow (log N) 3)) into (- (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (pow N 3) (- (pow (log N) 3))) into (- (pow N 3) (pow (log N) 3)) * [misc]backup-simplify: Simplify (- (pow N 3) (pow (log N) 3)) into (- (pow N 3) (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (* 0 (log N))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log N) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3/2 (pow N 3)) 0) into (- (* 3/2 (pow N 3))) * [misc]backup-simplify: Simplify (- (* 3/2 (pow N 3))) into (- (* 3/2 (pow N 3))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log N) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log N) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 7/4 (pow N 3)) 0) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (* 7/4 (pow N 3)) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (* 7/4 (pow N 3)) (pow N 2)) (+ (* (- (* 3/2 (pow N 3))) N) (- (pow N 3) (pow (log N) 3)))) into (- (+ (* 7/4 (pow N 5)) (pow N 3)) (+ (* 3/2 (pow N 4)) (pow (log N) 3))) * [misc]approximate: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (- (pow (- (log N)) 3)) into (pow (log N) 3) * [misc]backup-simplify: Simplify (+ (pow (- (log N)) 3) (pow (log N) 3)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1)))) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (log N) 2)) 0) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (* 3 (pow (log N) 2)) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) 0) into (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) * [misc]backup-simplify: Simplify (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) into (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 -1/2) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 1/3) 1)) (pow (- (log N)) 1)))) 6) into (* 1/6 (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (log N)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/6 (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (log N))))))) (+ (* 0 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N))))))) into (- (* 3/2 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 3) 6)) (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1) (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)) (* (/ (pow (- (* 3/2 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (log N)))) 1) 1)))) into (* (+ (/ 1 (pow (log N) 3)) (+ (* 3 (/ 1 (pow (log N) 2))) (/ 1 (log N)))) (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 (pow (log N) 3)) (+ (* 3 (/ 1 (pow (log N) 2))) (/ 1 (log N)))) (pow (log N) 3)) 0) into (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) into (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ (* (+ 1 (+ (pow (log (/ 1 N)) 2) (* 3 (log (/ 1 N))))) (pow (/ 1 N) 3)) (+ (* (- (+ (* 3/2 (pow (log (/ 1 N)) 2)) (* 3 (log (/ 1 N))))) (pow (/ 1 N) 2)) (* (* 3 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ (pow (log (/ 1 N)) 2) (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ 1 (pow N 3))))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) * [misc]approximate: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (- (pow (- (log -1) (log N)) 3)) into (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (pow (log -1) 3) (* 3 (* (log -1) (pow (log N) 2))))) * [misc]backup-simplify: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (pow (log -1) 3) (* 3 (* (log -1) (pow (log N) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -3 (pow (- (log -1) (log N)) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 (pow (- (log -1) (log N)) 2)) 0) into (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) into (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) 0) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N))))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N))))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2)))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/3) 1)) (pow (- (log -1) (log N)) 1)))) 6) into (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* 0 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))))) into (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 3) 6)) (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1) (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) 1) 1)))) into (* (pow (- (log -1) (log N)) 3) (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (log -1) (log N)) 3) (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) 0) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (/ (pow (log N) 3) (- (log -1) (log N)))))))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (/ (pow (log N) 3) (- (log -1) (log N)))))))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log N) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3))))))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))) (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N))))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 3))))))) (+ (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 3)) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (* 3 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (- (log -1) (log (/ 1 (- N)))))))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3/2 (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (- (log -1) (log (/ 1 (- N)))))) (* 9 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2)))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 9/2 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (- (log -1) (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (* (- (* 6 (* (log -1) (log (/ 1 (- N))))) (+ (* 3 (pow (log (/ 1 (- N))) 2)) (* 3 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3)))))))))))))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3))))))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (pow (log N) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]backup-simplify: Simplify (pow (log N) 3) into (pow (log N) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log N) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log N) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log N) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log N) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log N) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log N) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log N) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log N) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log N) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log N) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log N) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log N) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log N) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log N) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log N) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log N) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log N) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log N) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log N) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log N) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log N) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log N) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log N) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log N) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log N) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (log N) 3) into (pow (log N) 3) * [misc]approximate: Taking taylor expansion of (pow (log (/ 1 N)) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (pow (- (log N)) 3) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (log N)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (log N)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (log N)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (log N)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (log N)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (log N)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (log N)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (log N)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (log N)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (log N)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (log N)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (log N)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (log N)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (log N)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (log N)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (log N)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (log N)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (log N)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (log N)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (log N)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (log (/ 1 N))) 3) into (pow (- (log (/ 1 N))) 3) * [misc]approximate: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (pow (- (log -1) (log N)) 3) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (log -1) (log N)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (log -1) (log N)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (log -1) (log N)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (log -1) (log N)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (log -1) (log N)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (log -1) (log N)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (log -1) (log N)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (log -1) (log N)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (log -1) (log N)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (log -1) (log N)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (log -1) (log N)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (log -1) (log N)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (log -1) (log N)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (log -1) (log (/ 1 (- N)))) 3) into (pow (- (log -1) (log (/ -1 N))) 3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 3) * [misc]approximate: Taking taylor expansion of (* (log N) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (log N) (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (log N) (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* (log N) (log N)) into (pow (log N) 2) * [misc]backup-simplify: Simplify (pow (log N) 2) into (pow (log N) 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (log N) 0) (* 0 (log N))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (log N) 0) (+ (* 0 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (log N) 2) into (pow (log N) 2) * [misc]approximate: Taking taylor expansion of (* (log (/ 1 N)) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (log (/ 1 N)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (log (/ 1 N)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) * [misc]backup-simplify: Simplify (pow (log N) 2) into (pow (log N) 2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (log (/ 1 N)) 2) into (pow (log (/ 1 N)) 2) * [misc]approximate: Taking taylor expansion of (* (log (/ 1 (- N))) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (log (/ 1 (- N))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (log (/ 1 (- N))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) (- (log -1) (log N))) into (pow (- (log -1) (log N)) 2) * [misc]backup-simplify: Simplify (pow (- (log -1) (log N)) 2) into (pow (- (log -1) (log N)) 2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (log -1) (log (/ 1 (- N)))) 2) into (pow (- (log -1) (log (/ -1 N))) 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (pow (log1p N) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]backup-simplify: Simplify (pow N 3) into (pow N 3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (* 0 (log N))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (* -3/2 (pow N 3)) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (* 7/4 (pow N 3)) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (* 7/4 (pow N 3)) (pow N 2)) (+ (* (* -3/2 (pow N 3)) N) (pow N 3))) into (- (+ (* 7/4 (pow N 5)) (pow N 3)) (* 3/2 (pow N 4))) * [misc]approximate: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (pow (- (log N)) 3) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1)))) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (* 3 (pow (log N) 2)) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) * [misc]backup-simplify: Simplify (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) into (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (+ (* 3 (/ 1 (pow (log (/ 1 N)) 2))) (* 3/2 (/ 1 (log (/ 1 N))))) (pow (log (/ 1 N)) 3))) (pow (/ 1 N) 2)) (+ (* (* 3 (pow (log (/ 1 N)) 2)) (/ 1 N)) (pow (- (log (/ 1 N))) 3))) into (- (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (+ (pow (log (/ 1 N)) 3) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))) * [misc]approximate: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (pow (- (log -1) (log N)) 3) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -3 (pow (- (log -1) (log N)) 2)) * [misc]backup-simplify: Simplify (* -3 (pow (- (log -1) (log N)) 2)) into (* -3 (pow (- (log -1) (log N)) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) into (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (+ (* (* (- (* 3 (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 3/2 (/ 1 (- (log -1) (log (/ 1 (- N))))))) (pow (- (log -1) (log (/ 1 (- N)))) 3)) (pow (/ 1 (- N)) 2)) (+ (* (* -3 (pow (- (log -1) (log (/ 1 (- N)))) 2)) (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 3))) into (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (* (log -1) (pow (log (/ -1 N)) 2))) (+ (pow (log -1) 3) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 3 (/ (pow (log -1) 2) N)) (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N))))))))))))) (+ (* 3 (* (pow (log -1) 2) (log (/ -1 N)))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (pow (log (/ -1 N)) 3) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2))))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 2 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 3 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 4 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 5 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 6 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 7 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 8 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 9 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 10 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 11 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 12 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 13 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 14 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (pow (log1p N) 3)) (exp (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 15 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (log (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 17 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 18 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * [exit]simplify: Simplified to (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * [enter]simplify: Simplifying (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 19 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow (log1p N) 3) (pow (log N) 3)) (- (pow (log1p N) 3) (pow (log N) 3))) (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (pow (- (pow (log1p N) 3) (pow (log N) 3)) 3) * [exit]simplify: Simplified to (pow (- (pow (log1p N) 3) (pow (log N) 3)) 3) * * * * [misc]progress: [ 20 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [enter]simplify: Simplifying (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 21 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) * [enter]simplify: Simplifying (- (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 22 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * [exit]simplify: Simplified to (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * [enter]simplify: Simplifying (+ (* (pow (log1p N) 3) (pow (log1p N) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log1p N) 3) (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (fma (pow (log N) 3) (fma (log1p N) (* (log1p N) (log1p N)) (pow (log N) 3)) (pow (* (log1p N) (log1p N)) 3)) * [exit]simplify: Simplified to (fma (pow (log N) 3) (fma (log1p N) (* (log1p N) (log1p N)) (pow (log N) 3)) (pow (* (log1p N) (log1p N)) 3)) * * * * [misc]progress: [ 23 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 24 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * [enter]simplify: Simplifying (+ (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (pow (log N) 3)) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (pow (log N) 3)) * * * * [misc]progress: [ 26 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 27 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 28 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 29 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 30 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 31 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 32 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 33 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 34 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (log N) 3)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (+ (sqrt (pow (log N) 3)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 35 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 36 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 37 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 38 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 39 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 40 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (expm1 (pow (log N) 3)) * [exit]simplify: Simplified to (expm1 (pow (log N) 3)) * * * * [misc]progress: [ 41 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (pow (log N) 3)) * [exit]simplify: Simplified to (log1p (pow (log N) 3)) * * * * [misc]progress: [ 42 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (log N)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (log N)) 3) * [exit]simplify: Simplified to (* (log (log N)) 3) * * * * [misc]progress: [ 43 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (log N)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (log N)) 3) * [exit]simplify: Simplified to (* (log (log N)) 3) * * * * [misc]progress: [ 44 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 45 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (log N)) (cbrt (log N))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * [enter]simplify: Simplifying (pow (cbrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 46 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [enter]simplify: Simplifying (pow (sqrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * * * * [misc]progress: [ 47 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (log N) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (log N) 3) * [exit]simplify: Simplified to (pow (log N) 3) * * * * [misc]progress: [ 48 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * * * * [misc]progress: [ 49 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* 3 (log (log N))) * [exit]simplify: Simplified to (* 3 (log (log N))) * * * * [misc]progress: [ 51 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (pow N (* (log N) (log N))) * [exit]simplify: Simplified to (pow N (* (log N) (log N))) * * * * [misc]progress: [ 52 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * [enter]simplify: Simplifying (cbrt (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 53 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (log N) 3) (pow (log N) 3)) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (pow (pow (log N) 3) 3) * [exit]simplify: Simplified to (pow (pow (log N) 3) 3) * * * * [misc]progress: [ 54 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (log N)) (cbrt (log N))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * [enter]simplify: Simplifying (pow (cbrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 55 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [enter]simplify: Simplifying (pow (sqrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * * * * [misc]progress: [ 56 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (log N) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (log N) 3) * [exit]simplify: Simplified to (pow (log N) 3) * * * * [misc]progress: [ 57 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * * * * [misc]progress: [ 58 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (log N) 3)) * [exit]simplify: Simplified to (sqrt (pow (log N) 3)) * [enter]simplify: Simplifying (sqrt (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (log N) 3)) * [exit]simplify: Simplified to (sqrt (pow (log N) 3)) * * * * [misc]progress: [ 60 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (log N) (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (expm1 (* (log N) (log N))) * [exit]simplify: Simplified to (expm1 (* (log N) (log N))) * * * * [misc]progress: [ 62 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (log N) (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log1p (* (log N) (log N))) * [exit]simplify: Simplified to (log1p (* (log N) (log N))) * * * * [misc]progress: [ 63 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 64 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * * * * [misc]progress: [ 65 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 67 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (log N)) (log (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ (log (log N)) (log (log N))) * [exit]simplify: Simplified to (+ (log (log N)) (log (log N))) * * * * [misc]progress: [ 69 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (log N) (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (+ (log (log N)) (log (log N))) * [exit]simplify: Simplified to (+ (log (log N)) (log (log N))) * * * * [misc]progress: [ 70 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (log N) (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow N (log N)) * [exit]simplify: Simplified to (pow N (log N)) * * * * [misc]progress: [ 71 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (log N) (log N)) (log N)) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (pow (* (log N) (log N)) 3) * [exit]simplify: Simplified to (pow (* (log N) (log N)) 3) * * * * [misc]progress: [ 72 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (log N) (log N))) (cbrt (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (* (log N) (log N))) (cbrt (* (log N) (log N)))) * [exit]simplify: Simplified to (* (cbrt (* (log N) (log N))) (cbrt (* (log N) (log N)))) * [enter]simplify: Simplifying (cbrt (* (log N) (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (* (log N) (log N))) * [exit]simplify: Simplified to (cbrt (* (log N) (log N))) * * * * [misc]progress: [ 73 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (log N) (log N)) (* (log N) (log N))) (* (log N) (log N))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (pow (log N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (* (pow (log N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 74 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (log N) (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (fabs (log N)) * [exit]simplify: Simplified to (fabs (log N)) * [enter]simplify: Simplifying (sqrt (* (log N) (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (fabs (log N)) * [exit]simplify: Simplified to (fabs (log N)) * * * * [misc]progress: [ 75 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (* (cbrt (log N)) (cbrt (log N)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (log N)) (* (cbrt (log N)) (log N))) * [exit]simplify: Simplified to (* (cbrt (log N)) (* (cbrt (log N)) (log N))) * * * * [misc]progress: [ 77 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (sqrt (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * * * * [misc]progress: [ 78 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 79 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log N)) (log N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (log N)) (log N)) * [exit]simplify: Simplified to (* (cbrt (log N)) (log N)) * * * * [misc]progress: [ 80 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log N)) (log N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * * * * [misc]progress: [ 81 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * * * * [misc]progress: [ 82 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (expm1 (pow (log1p N) 3)) * [exit]simplify: Simplified to (expm1 (pow (log1p N) 3)) * * * * [misc]progress: [ 84 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (pow (log1p N) 3)) * [exit]simplify: Simplified to (log1p (pow (log1p N) 3)) * * * * [misc]progress: [ 85 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (log1p N)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (log1p N)) 3) * [exit]simplify: Simplified to (* (log (log1p N)) 3) * * * * [misc]progress: [ 86 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (log1p N)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (log1p N)) 3) * [exit]simplify: Simplified to (* (log (log1p N)) 3) * * * * [misc]progress: [ 87 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 88 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [enter]simplify: Simplifying (pow (cbrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 89 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [enter]simplify: Simplifying (pow (sqrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * * * * [misc]progress: [ 90 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (log1p N) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (log1p N) 3) * [exit]simplify: Simplified to (pow (log1p N) 3) * * * * [misc]progress: [ 91 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p N) (log1p N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * * * * [misc]progress: [ 92 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* 3 (log (log1p N))) * [exit]simplify: Simplified to (* 3 (log (log1p N))) * * * * [misc]progress: [ 94 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (exp (pow (log1p N) 3)) * [exit]simplify: Simplified to (exp (pow (log1p N) 3)) * * * * [misc]progress: [ 95 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [enter]simplify: Simplifying (cbrt (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 96 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (log1p N) 3) (pow (log1p N) 3)) (pow (log1p N) 3)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (pow (pow (log1p N) 3) 3) * [exit]simplify: Simplified to (pow (pow (log1p N) 3) 3) * * * * [misc]progress: [ 97 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [enter]simplify: Simplifying (pow (cbrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 98 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [enter]simplify: Simplifying (pow (sqrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * * * * [misc]progress: [ 99 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (log1p N) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (log1p N) 3) * [exit]simplify: Simplified to (pow (log1p N) 3) * * * * [misc]progress: [ 100 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p N) (log1p N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * * * * [misc]progress: [ 101 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (log1p N) 3)) * [exit]simplify: Simplified to (sqrt (pow (log1p N) 3)) * [enter]simplify: Simplifying (sqrt (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (log1p N) 3)) * [exit]simplify: Simplified to (sqrt (pow (log1p N) 3)) * * * * [misc]progress: [ 103 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 7/4 (pow N 5)) (pow N 3)) (+ (* 3/2 (pow N 4)) (pow (log N) 3))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (- (fma N (* N N) (* (pow N 4) (- 3/2))) (fma (log N) (* (log N) (log N)) (* (pow N 5) (- 7/4)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 105 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ (pow (log (/ 1 N)) 2) (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ 1 (pow N 3))))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (/ (fma (/ (log N) (/ N (log N))) 3 (- (+ (fma (/ (log N) N) (/ (log N) (* N N)) (/ (/ 1 N) (* N N))) (* (/ (- 3) N) (/ (log N) (* N N)))) (fma (* (/ (log N) N) (/ (log N) N)) 3/2 (/ (* (log N) (- 3)) (* N N))))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 106 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3)))))))))))))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3))))))))))))))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (100 enodes) * * [misc]simplify: iters left: 5 (309 enodes) * [exit]simplify: Simplified to (/ (- (fma (/ (log (/ -1 N)) (/ N (log (/ -1 N)))) 3 (+ (+ (/ (* (* 3 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N))))) (fma 3 (* (/ (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N))) (* (/ 9/2 (+ (- (log -1) (log -1)) (log N))) (* (/ (log (/ -1 N)) N) (/ (* (log -1) (log -1)) N))))) (+ (fma (* (* (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (/ (log -1) (+ (- (log -1) (log -1)) (log N)))) (/ (log (/ -1 N)) (pow N 3))) 9 (/ (/ (/ (pow (log -1) 3) (+ (- (log -1) (log -1)) (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (pow N 3))) (+ (fma 9 (* (* (/ (log (/ -1 N)) (+ (- (log -1) (log -1)) (log N))) (/ (log (/ -1 N)) (+ (- (log -1) (log -1)) (log N)))) (/ (log -1) (* N N))) (fma (/ (* (log -1) (log -1)) N) 3 (fma (* (/ (log (/ -1 N)) (* N N)) (/ (* (log (/ -1 N)) (log (/ -1 N))) (+ (- (log -1) (log -1)) (log N)))) 3/2 (* (/ (* (log -1) (log -1)) (pow N 3)) (/ (log -1) (+ (- (log -1) (log -1)) (log N))))))) (fma (* (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N))) 3 (* (/ 3 (* N N)) (* (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (/ (* (log -1) (log -1)) (+ (- (log -1) (log -1)) (log N)))))))))) (+ (+ (+ (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* (* N N) (+ (- (log -1) (log -1)) (log N)))) (fma 3 (* (/ (log (/ -1 N)) (pow N 3)) (/ (* (log -1) (log -1)) (+ (- (log -1) (log -1)) (log N)))) (* (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N)) (/ (log (/ -1 N)) (pow (+ (- (log -1) (log -1)) (log N)) 3))))) (+ (fma 9/2 (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (* N N)) (/ (log -1) (+ (- (log -1) (log -1)) (log N)))) (* 6 (* (/ (log -1) N) (log (/ -1 N))))) (+ (fma 3 (/ (* (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (/ (* (log -1) (log -1)) (+ (- (log -1) (log -1)) (log N)))) (pow N 3)) (* (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N)) (/ (log (/ -1 N)) (+ (- (log -1) (log -1)) (log N))))) (fma (/ (* (/ (log (/ -1 N)) N) (/ (* (log -1) (log -1)) N)) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) 9 (* (/ 3 (pow N 3)) (/ (/ (* (* (log -1) (log -1)) (log (/ -1 N))) (+ (- (log -1) (log -1)) (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N))))))))) (fma 3 (/ (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (* N N) (log (/ -1 N)))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (/ (* (* 9 (log -1)) (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))))))) (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 107 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 108 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (log1p N) 3) (pow (- (log (/ 1 N))) 3)) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 109 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (log1p N) 3) (pow (- (log -1) (log (/ -1 N))) 3)) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 110 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log N) (log1p N)) (log1p N) (pow (log N) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 111 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log N) (log1p N)) (log1p N) (pow (log (/ 1 N)) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 112 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log N) (log1p N)) (log1p N) (pow (- (log -1) (log (/ -1 N))) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 113 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (- (+ (* 7/4 (pow N 5)) (pow N 3)) (* 3/2 (pow N 4))) (pow (log N) 3)) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (- (fma N (* N N) (* (pow N 4) (- 3/2))) (fma (log N) (* (log N) (log N)) (* (pow N 5) (- 7/4)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 114 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (- (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (+ (pow (log (/ 1 N)) 3) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))) (pow (log N) 3)) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (- (fma (/ (log N) (/ N (log N))) 3 (* (/ (log N) N) (/ 3 N))) (fma (* (/ (log N) N) (/ (log N) N)) 3/2 (fma (- (log N)) (* (log N) (log N)) (pow (log N) 3)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 115 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (* (log -1) (pow (log (/ -1 N)) 2))) (+ (pow (log -1) 3) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 3 (/ (pow (log -1) 2) N)) (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N))))))))))))) (+ (* 3 (* (pow (log -1) 2) (log (/ -1 N)))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (pow (log (/ -1 N)) 3) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2))))))))))) (pow (log N) 3)) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * * [misc]simplify: iters left: 4 (480 enodes) * [exit]simplify: Simplified to (/ (- (+ (fma 3 (/ (log (/ -1 N)) (/ N (log (/ -1 N)))) (/ (* (/ 3 (* N N)) (pow (log -1) 3)) (* (+ 0 (log N)) (+ 0 (log N))))) (- (+ (+ (fma (* (* (/ (log -1) N) (/ (log -1) N)) (/ (log (/ -1 N)) (+ 0 (log N)))) 9/2 (/ (* (log -1) 3) (/ N (log -1)))) (* (* 3/2 (/ (log (/ -1 N)) (+ 0 (log N)))) (* (/ (log (/ -1 N)) N) (/ (log (/ -1 N)) N)))) (+ (fma (* (log (/ -1 N)) (log (/ -1 N))) (* (log -1) 3) (pow (log -1) 3)) (/ (* (* 9 (log -1)) (* (log (/ -1 N)) (log (/ -1 N)))) (* (+ 0 (log N)) (* (+ 0 (log N)) (* N N)))))) (* (* (* (log -1) 3) (log -1)) (log (/ -1 N))))) (+ (+ (+ (* (* (/ (log (/ -1 N)) N) (/ (log (/ -1 N)) N)) (* (/ (log -1) (+ 0 (log N))) 9/2)) (fma (* (log (/ -1 N)) (/ (log -1) N)) 6 (pow (log (/ -1 N)) 3))) (fma (* (* (/ (log (/ -1 N)) N) (/ (log (/ -1 N)) N)) (/ (log (/ -1 N)) (* (+ 0 (log N)) (+ 0 (log N))))) 3 (fma (* (* (/ (log -1) N) (/ (log -1) N)) (/ (log -1) (+ 0 (log N)))) 3/2 (* (/ 9 (* (+ 0 (log N)) (+ 0 (log N)))) (* (* (log (/ -1 N)) (/ (log -1) N)) (/ (log -1) N)))))) (pow (log N) 3))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]backup-simplify: Simplify (- (pow (log N) 3)) into (- (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (pow N 3) (- (pow (log N) 3))) into (- (pow N 3) (pow (log N) 3)) * [misc]backup-simplify: Simplify (- (pow N 3) (pow (log N) 3)) into (- (pow N 3) (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (* 0 (log N))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log N) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3/2 (pow N 3)) 0) into (- (* 3/2 (pow N 3))) * [misc]backup-simplify: Simplify (- (* 3/2 (pow N 3))) into (- (* 3/2 (pow N 3))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log N) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log N) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 7/4 (pow N 3)) 0) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (* 7/4 (pow N 3)) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (* 7/4 (pow N 3)) (pow N 2)) (+ (* (- (* 3/2 (pow N 3))) N) (- (pow N 3) (pow (log N) 3)))) into (- (+ (* 7/4 (pow N 5)) (pow N 3)) (+ (* 3/2 (pow N 4)) (pow (log N) 3))) * [misc]approximate: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (- (pow (- (log N)) 3)) into (pow (log N) 3) * [misc]backup-simplify: Simplify (+ (pow (- (log N)) 3) (pow (log N) 3)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1)))) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (log N) 2)) 0) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (* 3 (pow (log N) 2)) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) 0) into (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) * [misc]backup-simplify: Simplify (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) into (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 -1/2) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 1/3) 1)) (pow (- (log N)) 1)))) 6) into (* 1/6 (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (log N)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/6 (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (log N))))))) (+ (* 0 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N))))))) into (- (* 3/2 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 3) 6)) (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1) (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)) (* (/ (pow (- (* 3/2 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (log N)))) 1) 1)))) into (* (+ (/ 1 (pow (log N) 3)) (+ (* 3 (/ 1 (pow (log N) 2))) (/ 1 (log N)))) (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 (pow (log N) 3)) (+ (* 3 (/ 1 (pow (log N) 2))) (/ 1 (log N)))) (pow (log N) 3)) 0) into (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) into (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ (* (+ 1 (+ (pow (log (/ 1 N)) 2) (* 3 (log (/ 1 N))))) (pow (/ 1 N) 3)) (+ (* (- (+ (* 3/2 (pow (log (/ 1 N)) 2)) (* 3 (log (/ 1 N))))) (pow (/ 1 N) 2)) (* (* 3 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ (pow (log (/ 1 N)) 2) (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ 1 (pow N 3))))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) * [misc]approximate: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (- (pow (- (log -1) (log N)) 3)) into (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (pow (log -1) 3) (* 3 (* (log -1) (pow (log N) 2))))) * [misc]backup-simplify: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (pow (log -1) 3) (* 3 (* (log -1) (pow (log N) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -3 (pow (- (log -1) (log N)) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 (pow (- (log -1) (log N)) 2)) 0) into (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) into (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) 0) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N))))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N))))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2)))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/3) 1)) (pow (- (log -1) (log N)) 1)))) 6) into (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* 0 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))))) into (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 3) 6)) (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1) (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) 1) 1)))) into (* (pow (- (log -1) (log N)) 3) (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (log -1) (log N)) 3) (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) 0) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (/ (pow (log N) 3) (- (log -1) (log N)))))))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (/ (pow (log N) 3) (- (log -1) (log N)))))))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log N) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3))))))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))) (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N))))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 3))))))) (+ (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 3)) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (* 3 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (- (log -1) (log (/ 1 (- N)))))))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3/2 (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (- (log -1) (log (/ 1 (- N)))))) (* 9 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2)))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 9/2 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (- (log -1) (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (* (- (* 6 (* (log -1) (log (/ 1 (- N))))) (+ (* 3 (pow (log (/ 1 (- N))) 2)) (* 3 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3)))))))))))))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3))))))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]backup-simplify: Simplify (- (pow (log N) 3)) into (- (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (pow N 3) (- (pow (log N) 3))) into (- (pow N 3) (pow (log N) 3)) * [misc]backup-simplify: Simplify (- (pow N 3) (pow (log N) 3)) into (- (pow N 3) (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (* 0 (log N))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log N) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3/2 (pow N 3)) 0) into (- (* 3/2 (pow N 3))) * [misc]backup-simplify: Simplify (- (* 3/2 (pow N 3))) into (- (* 3/2 (pow N 3))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log N) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log N) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 7/4 (pow N 3)) 0) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (* 7/4 (pow N 3)) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (* 7/4 (pow N 3)) (pow N 2)) (+ (* (- (* 3/2 (pow N 3))) N) (- (pow N 3) (pow (log N) 3)))) into (- (+ (* 7/4 (pow N 5)) (pow N 3)) (+ (* 3/2 (pow N 4)) (pow (log N) 3))) * [misc]approximate: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (- (pow (- (log N)) 3)) into (pow (log N) 3) * [misc]backup-simplify: Simplify (+ (pow (- (log N)) 3) (pow (log N) 3)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1)))) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (log N) 2)) 0) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (* 3 (pow (log N) 2)) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) 0) into (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) * [misc]backup-simplify: Simplify (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) into (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 -1/2) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 1/3) 1)) (pow (- (log N)) 1)))) 6) into (* 1/6 (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (log N)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/6 (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (log N))))))) (+ (* 0 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N))))))) into (- (* 3/2 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 3) 6)) (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1) (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)) (* (/ (pow (- (* 3/2 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (log N)))) 1) 1)))) into (* (+ (/ 1 (pow (log N) 3)) (+ (* 3 (/ 1 (pow (log N) 2))) (/ 1 (log N)))) (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 (pow (log N) 3)) (+ (* 3 (/ 1 (pow (log N) 2))) (/ 1 (log N)))) (pow (log N) 3)) 0) into (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) into (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ (* (+ 1 (+ (pow (log (/ 1 N)) 2) (* 3 (log (/ 1 N))))) (pow (/ 1 N) 3)) (+ (* (- (+ (* 3/2 (pow (log (/ 1 N)) 2)) (* 3 (log (/ 1 N))))) (pow (/ 1 N) 2)) (* (* 3 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ (pow (log (/ 1 N)) 2) (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ 1 (pow N 3))))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) * [misc]approximate: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (- (pow (- (log -1) (log N)) 3)) into (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (pow (log -1) 3) (* 3 (* (log -1) (pow (log N) 2))))) * [misc]backup-simplify: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (pow (log -1) 3) (* 3 (* (log -1) (pow (log N) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -3 (pow (- (log -1) (log N)) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 (pow (- (log -1) (log N)) 2)) 0) into (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) into (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) 0) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N))))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N))))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2)))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/3) 1)) (pow (- (log -1) (log N)) 1)))) 6) into (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* 0 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))))) into (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 3) 6)) (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1) (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) 1) 1)))) into (* (pow (- (log -1) (log N)) 3) (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (log -1) (log N)) 3) (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) 0) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (/ (pow (log N) 3) (- (log -1) (log N)))))))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (/ (pow (log N) 3) (- (log -1) (log N)))))))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log N) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3))))))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))) (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N))))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 3))))))) (+ (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 3)) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (* 3 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (- (log -1) (log (/ 1 (- N)))))))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3/2 (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (- (log -1) (log (/ 1 (- N)))))) (* 9 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2)))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 9/2 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (- (log -1) (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (* (- (* 6 (* (log -1) (log (/ 1 (- N))))) (+ (* 3 (pow (log (/ 1 (- N))) 2)) (* 3 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3)))))))))))))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3))))))))))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p N) 3) (pow (log N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]backup-simplify: Simplify (- (pow (log N) 3)) into (- (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (pow N 3) (- (pow (log N) 3))) into (- (pow N 3) (pow (log N) 3)) * [misc]backup-simplify: Simplify (- (pow N 3) (pow (log N) 3)) into (- (pow N 3) (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (* 0 (log N))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log N) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3/2 (pow N 3)) 0) into (- (* 3/2 (pow N 3))) * [misc]backup-simplify: Simplify (- (* 3/2 (pow N 3))) into (- (* 3/2 (pow N 3))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log N) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log N) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 7/4 (pow N 3)) 0) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (* 7/4 (pow N 3)) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (* 7/4 (pow N 3)) (pow N 2)) (+ (* (- (* 3/2 (pow N 3))) N) (- (pow N 3) (pow (log N) 3)))) into (- (+ (* 7/4 (pow N 5)) (pow N 3)) (+ (* 3/2 (pow N 4)) (pow (log N) 3))) * [misc]approximate: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 N)) 3) (pow (log (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (- (pow (- (log N)) 3)) into (pow (log N) 3) * [misc]backup-simplify: Simplify (+ (pow (- (log N)) 3) (pow (log N) 3)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1)))) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (log N) 2)) 0) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (* 3 (pow (log N) 2)) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) 0) into (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) * [misc]backup-simplify: Simplify (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) into (- (+ (* 3/2 (pow (log N) 2)) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 -1/2) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 1/3) 1)) (pow (- (log N)) 1)))) 6) into (* 1/6 (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (log N)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/6 (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (pow (log N) 3))) (* 2 (/ 1 (log N))))))) (+ (* 0 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N))))))) into (- (* 3/2 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 3) 6)) (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1) (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)) (* (/ (pow (- (* 3/2 (/ 1 (pow (log N) 2))) (+ (/ 1 (pow (log N) 3)) (/ 1 (log N)))) 1) 1)))) into (* (+ (/ 1 (pow (log N) 3)) (+ (* 3 (/ 1 (pow (log N) 2))) (/ 1 (log N)))) (pow (log N) 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 (pow (log N) 3)) (+ (* 3 (/ 1 (pow (log N) 2))) (/ 1 (log N)))) (pow (log N) 3)) 0) into (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) into (+ 1 (+ (pow (log N) 2) (* 3 (log N)))) * [misc]backup-simplify: Simplify (+ (* (+ 1 (+ (pow (log (/ 1 N)) 2) (* 3 (log (/ 1 N))))) (pow (/ 1 N) 3)) (+ (* (- (+ (* 3/2 (pow (log (/ 1 N)) 2)) (* 3 (log (/ 1 N))))) (pow (/ 1 N) 2)) (* (* 3 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ (pow (log (/ 1 N)) 2) (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ 1 (pow N 3))))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) * [misc]approximate: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (- (pow (log1p (/ 1 (- N))) 3) (pow (log (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (- (pow (- (log -1) (log N)) 3)) into (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (pow (log -1) 3) (* 3 (* (log -1) (pow (log N) 2))))) * [misc]backup-simplify: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (* 3 (* (pow (log -1) 2) (log N))) (pow (log N) 3)) (+ (pow (log -1) 3) (* 3 (* (log -1) (pow (log N) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -3 (pow (- (log -1) (log N)) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -3 (pow (- (log -1) (log N)) 2)) 0) into (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) into (- (* 6 (* (log -1) (log N))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) 0) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N))))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N))))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2)))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/3) 1)) (pow (- (log -1) (log N)) 1)))) 6) into (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* 0 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))))) into (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 3) 6)) (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1) (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) 1) 1)))) into (* (pow (- (log -1) (log N)) 3) (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (log -1) (log N)) 3) (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N)))))) 0) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (/ (pow (log N) 3) (- (log -1) (log N)))))))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (/ (pow (log N) 3) (- (log -1) (log N)))))))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log N) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log N)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 2))) (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3))))))) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (* 9 (/ (* (pow (log -1) 2) (log N)) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (log -1) (pow (log N) 2)) (pow (- (log -1) (log N)) 3))) (* 3 (/ (* (log -1) (pow (log N) 2)) (- (log -1) (log N)))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N))))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 3))))))) (+ (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 3)) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (* 3 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (- (log -1) (log (/ 1 (- N)))))))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3/2 (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (- (log -1) (log (/ 1 (- N)))))) (* 9 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2)))))) (+ (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ 1 (- N)))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 9/2 (/ (* (log -1) (pow (log (/ 1 (- N))) 2)) (- (log -1) (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (* (- (* 6 (* (log -1) (log (/ 1 (- N))))) (+ (* 3 (pow (log (/ 1 (- N))) 2)) (* 3 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3)))))))))))))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3))))))))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (pow (log N) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]taylor: Taking taylor expansion of (pow (log N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (log (log N)) into (log (log N)) * [misc]backup-simplify: Simplify (* 3 (log (log N))) into (* 3 (log (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log N)))) into (pow (log N) 3) * [misc]backup-simplify: Simplify (pow (log N) 3) into (pow (log N) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log N) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log N) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log N) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log N) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log N) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log N) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log N) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log N) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log N) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log N) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log N) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log N) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log N) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log N) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log N) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log N) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log N) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log N) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log N) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log N) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log N) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log N) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log N) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log N) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log N) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log N) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (log N) 3) into (pow (log N) 3) * [misc]approximate: Taking taylor expansion of (pow (log (/ 1 N)) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (pow (- (log N)) 3) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (log N)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (log N)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (log N)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (log N)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (log N)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (log N)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (log N)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (log N)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (log N)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (log N)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (log N)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (log N)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (log N)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (log N)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (log N)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (log N)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (log N)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (log N)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (log N)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (log N)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (log N)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (log (/ 1 N))) 3) into (pow (- (log (/ 1 N))) 3) * [misc]approximate: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (pow (- (log -1) (log N)) 3) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (log -1) (log N)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (log -1) (log N)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (log -1) (log N)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (log -1) (log N)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (- (log -1) (log N)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (- (log -1) (log N)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (- (log -1) (log N)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (- (log -1) (log N)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (- (log -1) (log N)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (- (log -1) (log N)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (- (log -1) (log N)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (- (log -1) (log N)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (- (log -1) (log N)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (- (log -1) (log N)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (- (log -1) (log N)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (- (log -1) (log N)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (- (log -1) (log (/ 1 (- N)))) 3) into (pow (- (log -1) (log (/ -1 N))) 3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 2 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 3 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 4 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 5 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 6 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 7 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 8 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 9 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 10 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 11 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 12 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 13 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 14 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (pow (log1p N) 3)) (exp (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 15 / 150 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (log (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 17 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 18 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * [exit]simplify: Simplified to (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * [enter]simplify: Simplifying (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 19 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow (log1p N) 3) (pow (log N) 3)) (- (pow (log1p N) 3) (pow (log N) 3))) (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (pow (- (pow (log1p N) 3) (pow (log N) 3)) 3) * [exit]simplify: Simplified to (pow (- (pow (log1p N) 3) (pow (log N) 3)) 3) * * * * [misc]progress: [ 20 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [enter]simplify: Simplifying (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 21 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) * [enter]simplify: Simplifying (- (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 22 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * [exit]simplify: Simplified to (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * [enter]simplify: Simplifying (+ (* (pow (log1p N) 3) (pow (log1p N) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log1p N) 3) (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (fma (pow (log N) 3) (fma (log1p N) (* (log1p N) (log1p N)) (pow (log N) 3)) (pow (* (log1p N) (log1p N)) 3)) * [exit]simplify: Simplified to (fma (pow (log N) 3) (fma (log1p N) (* (log1p N) (log1p N)) (pow (log N) 3)) (pow (* (log1p N) (log1p N)) 3)) * * * * [misc]progress: [ 23 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 24 / 150 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * [enter]simplify: Simplifying (+ (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (pow (log N) 3)) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (pow (log N) 3)) * * * * [misc]progress: [ 26 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 27 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 28 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 29 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 30 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 31 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 32 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 33 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 34 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (log N) 3)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (+ (sqrt (pow (log N) 3)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 35 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 36 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 37 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 38 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 39 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 40 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 41 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 42 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 43 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 44 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 45 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 46 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 47 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 48 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 49 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 50 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 51 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 52 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 53 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (pow (log1p N) 3)) (exp (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 54 / 150 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (log (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 56 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 57 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * [exit]simplify: Simplified to (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * [enter]simplify: Simplifying (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 58 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow (log1p N) 3) (pow (log N) 3)) (- (pow (log1p N) 3) (pow (log N) 3))) (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (pow (- (pow (log1p N) 3) (pow (log N) 3)) 3) * [exit]simplify: Simplified to (pow (- (pow (log1p N) 3) (pow (log N) 3)) 3) * * * * [misc]progress: [ 59 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [enter]simplify: Simplifying (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 60 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) * [enter]simplify: Simplifying (- (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 61 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * [exit]simplify: Simplified to (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * [enter]simplify: Simplifying (+ (* (pow (log1p N) 3) (pow (log1p N) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log1p N) 3) (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (fma (pow (log N) 3) (fma (log1p N) (* (log1p N) (log1p N)) (pow (log N) 3)) (pow (* (log1p N) (log1p N)) 3)) * [exit]simplify: Simplified to (fma (pow (log N) 3) (fma (log1p N) (* (log1p N) (log1p N)) (pow (log N) 3)) (pow (* (log1p N) (log1p N)) 3)) * * * * [misc]progress: [ 62 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 63 / 150 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * [enter]simplify: Simplifying (+ (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (pow (log N) 3)) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (pow (log N) 3)) * * * * [misc]progress: [ 65 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 66 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 67 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 68 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 69 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 70 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 71 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 72 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 73 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (log N) 3)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (+ (sqrt (pow (log N) 3)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 74 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 75 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 76 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 77 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 78 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 79 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (expm1 (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 80 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (log1p (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 81 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 82 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 83 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 84 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 85 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 86 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 87 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 88 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 89 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 90 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 91 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 92 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (pow (log1p N) 3)) (exp (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 93 / 150 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (log (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 95 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (exp (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 96 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * [exit]simplify: Simplified to (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * [enter]simplify: Simplifying (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 97 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow (log1p N) 3) (pow (log N) 3)) (- (pow (log1p N) 3) (pow (log N) 3))) (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (pow (- (pow (log1p N) 3) (pow (log N) 3)) 3) * [exit]simplify: Simplified to (pow (- (pow (log1p N) 3) (pow (log N) 3)) 3) * * * * [misc]progress: [ 98 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [enter]simplify: Simplifying (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (sqrt (- (pow (log1p N) 3) (pow (log N) 3))) * * * * [misc]progress: [ 99 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) * [enter]simplify: Simplifying (- (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 100 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * [exit]simplify: Simplified to (- (pow (pow (log1p N) 3) 3) (pow (pow (log N) 3) 3)) * [enter]simplify: Simplifying (+ (* (pow (log1p N) 3) (pow (log1p N) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log1p N) 3) (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (fma (pow (log N) 3) (fma (log1p N) (* (log1p N) (log1p N)) (pow (log N) 3)) (pow (* (log1p N) (log1p N)) 3)) * [exit]simplify: Simplified to (fma (pow (log N) 3) (fma (log1p N) (* (log1p N) (log1p N)) (pow (log N) 3)) (pow (* (log1p N) (log1p N)) 3)) * * * * [misc]progress: [ 101 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log N) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (log N))) * * * * [misc]progress: [ 102 / 150 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (pow (log1p N) 3) (pow (log1p N) 3)) (* (pow (log N) 3) (pow (log N) 3))) * [enter]simplify: Simplifying (+ (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (pow (log N) 3)) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (pow (log N) 3)) * * * * [misc]progress: [ 104 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 105 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 106 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 107 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 108 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (* (log N) (sqrt (log N)))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 109 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) * [enter]simplify: Simplifying (- (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (* (log1p N) (sqrt (log1p N))) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 110 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 111 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * * * * [misc]progress: [ 112 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (log N) 3)) (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (+ (sqrt (pow (log N) 3)) (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * * * * [misc]progress: [ 113 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 114 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 115 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 116 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 117 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * * * * [misc]progress: [ 118 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (expm1 (pow (log N) 3)) * [exit]simplify: Simplified to (expm1 (pow (log N) 3)) * * * * [misc]progress: [ 119 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (pow (log N) 3)) * [exit]simplify: Simplified to (log1p (pow (log N) 3)) * * * * [misc]progress: [ 120 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (log N)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (log N)) 3) * [exit]simplify: Simplified to (* (log (log N)) 3) * * * * [misc]progress: [ 121 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (log N)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (log N)) 3) * [exit]simplify: Simplified to (* (log (log N)) 3) * * * * [misc]progress: [ 122 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 123 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (log N)) (cbrt (log N))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * [enter]simplify: Simplifying (pow (cbrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 124 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [enter]simplify: Simplifying (pow (sqrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * * * * [misc]progress: [ 125 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (log N) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (log N) 3) * [exit]simplify: Simplified to (pow (log N) 3) * * * * [misc]progress: [ 126 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * * * * [misc]progress: [ 127 / 150 ] simplifiying candidate # * * * * [misc]progress: [ 128 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* 3 (log (log N))) * [exit]simplify: Simplified to (* 3 (log (log N))) * * * * [misc]progress: [ 129 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (pow N (* (log N) (log N))) * [exit]simplify: Simplified to (pow N (* (log N) (log N))) * * * * [misc]progress: [ 130 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * [enter]simplify: Simplifying (cbrt (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 131 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (log N) 3) (pow (log N) 3)) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (pow (pow (log N) 3) 3) * [exit]simplify: Simplified to (pow (pow (log N) 3) 3) * * * * [misc]progress: [ 132 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (log N)) (cbrt (log N))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * [enter]simplify: Simplifying (pow (cbrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 133 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [enter]simplify: Simplifying (pow (sqrt (log N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * [exit]simplify: Simplified to (* (sqrt (log N)) (log N)) * * * * [misc]progress: [ 134 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (log N) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (log N) 3) * [exit]simplify: Simplified to (pow (log N) 3) * * * * [misc]progress: [ 135 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [exit]simplify: Simplified to (* (log N) (log N)) * * * * [misc]progress: [ 136 / 150 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (log N) 3)) * [exit]simplify: Simplified to (sqrt (pow (log N) 3)) * [enter]simplify: Simplifying (sqrt (pow (log N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (log N) 3)) * [exit]simplify: Simplified to (sqrt (pow (log N) 3)) * * * * [misc]progress: [ 138 / 150 ] simplifiying candidate # * * * * [misc]progress: [ 139 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (+ (* 7/4 (pow N 5)) (pow N 3)) (+ (* 3/2 (pow N 4)) (pow (log N) 3))))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (fma N (* N N) (* (- 3/2) (pow N 4))) (fma (log N) (* (log N) (log N)) (* (- 7/4) (pow N 5))))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (/ (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3))))) * * * * [misc]progress: [ 140 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ (pow (log (/ 1 N)) 2) (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ 1 (pow N 3))))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))))))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (/ (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3))))) (cbrt (fma (/ (* (log N) (log N)) N) 3 (- (+ (fma (/ (log N) N) (/ (log N) (* N N)) (/ (/ 1 N) (* N N))) (* (/ (- 3) N) (/ (log N) (* N N)))) (fma 3/2 (* (/ (log N) N) (/ (log N) N)) (* (/ (- 3) N) (/ (log N) N))))))) * * * * [misc]progress: [ 141 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3)))))))))))))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3))))))))))))))))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (107 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (+ (+ (* (/ (* (log (/ -1 N)) (log (/ -1 N))) N) 3) (/ (* (* 3 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N))) (pow N 3)))) (+ (+ (/ (* (* 3 (log -1)) (* (log (/ -1 N)) (log (/ -1 N)))) (* (* (pow N 3) (+ (- (log -1) (log -1)) (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N))))) (fma (* (* (/ (log -1) N) (/ (log -1) N)) (/ (log (/ -1 N)) (+ (- (log -1) (log -1)) (log N)))) 9/2 (* (* (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (/ (log -1) (+ (- (log -1) (log -1)) (log N)))) (* (/ (log (/ -1 N)) (pow N 3)) 9)))) (+ (+ (+ (/ (* (* (log -1) (log -1)) 3) N) (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (+ (- (log -1) (log -1)) (log N))) (/ (log (/ -1 N)) (* N N))) 3/2 (* (/ (* (log -1) (log -1)) (+ (- (log -1) (log -1)) (log N))) (/ (log -1) (pow N 3))))) (+ (* (/ (* (/ (log -1) (* N N)) (* (log (/ -1 N)) (log (/ -1 N)))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) 9) (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (* (* N N) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N))))))) (+ (/ (* (* 3 (log -1)) (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (+ (- (log -1) (log -1)) (log N)))) (/ (/ (/ (pow (log -1) 3) (+ (- (log -1) (log -1)) (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (pow N 3)))))) (+ (+ (* 3 (/ (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (* N N) (log (/ -1 N)))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N))))) (fma (* (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N)) (/ (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (+ (- (log -1) (log -1)) (log N)))) 9 (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* (+ (- (log -1) (log -1)) (log N)) (* N N))))) (+ (+ (* (/ 3 (pow N 3)) (/ (* (log (/ -1 N)) (* (log -1) (log -1))) (+ (- (log -1) (log -1)) (log N)))) (* (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N)) (/ (log (/ -1 N)) (pow (+ (- (log -1) (log -1)) (log N)) 3)))) (+ (+ (fma 9 (/ (* (* (/ (log -1) N) (/ (log -1) N)) (log (/ -1 N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (* (/ 3 (pow N 3)) (/ (/ (* (log (/ -1 N)) (* (log -1) (log -1))) (+ (- (log -1) (log -1)) (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))))) (fma (* (/ (log -1) (pow N 3)) (* (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (/ (log -1) (+ (- (log -1) (log -1)) (log N))))) 3 (* (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N)) (/ (log (/ -1 N)) (+ (- (log -1) (log -1)) (log N)))))) (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (* N N)) (/ (log -1) (+ (- (log -1) (log -1)) (log N)))) 9/2 (* (* (/ (log -1) N) (log (/ -1 N))) 6)))))))) (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 142 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (+ (* 7/4 (pow N 5)) (pow N 3)) (+ (* 3/2 (pow N 4)) (pow (log N) 3))))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (/ (/ (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (fma N (* N N) (* (- 3/2) (pow N 4))) (fma (* (log N) (log N)) (log N) (* (- 7/4) (pow N 5))))))) * * * * [misc]progress: [ 143 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ (pow (log (/ 1 N)) 2) (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ 1 (pow N 3))))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))))))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma 3 (/ (* (log N) (log N)) N) (- (+ (* (/ (- 3) N) (/ (log N) (* N N))) (fma (/ (log N) (* N N)) (/ (log N) N) (/ (/ 1 N) (* N N)))) (fma (* (/ (log N) N) (/ (log N) N)) 3/2 (* (/ (- 3) N) (/ (log N) N)))))) (/ (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N))) (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))))) * * * * [misc]progress: [ 144 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3)))))))))))))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3))))))))))))))))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (107 enodes) * * [misc]simplify: iters left: 5 (320 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (+ (+ (+ (fma 9 (/ (* (* (log -1) (log -1)) (/ (log (/ -1 N)) (pow N 3))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (* (/ (/ (* (log -1) (log -1)) (+ (- (log -1) (log -1)) (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (/ (log -1) (pow N 3)))) (+ (+ (fma (/ (* (/ (log -1) (* N N)) (* (log (/ -1 N)) (log (/ -1 N)))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) 9 (/ (* 3 (* (log -1) (log -1))) N)) (fma 3/2 (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (+ (- (log -1) (log -1)) (log N))) (/ (log (/ -1 N)) (* N N))) (* (/ (log -1) (pow N 3)) (/ (* (log -1) (log -1)) (+ (- (log -1) (log -1)) (log N)))))) (fma (* (* (/ (log (/ -1 N)) N) (/ (log (/ -1 N)) (* N N))) (/ (log -1) (+ (- (log -1) (log -1)) (log N)))) 3 (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (* (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N))) (* N N)))))) (fma (* (/ (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (* (/ (log (/ -1 N)) N) (/ (log (/ -1 N)) (* N N)))) 3 (/ (* 9/2 (* (* (log -1) (log -1)) (log (/ -1 N)))) (* (* N N) (+ (- (log -1) (log -1)) (log N)))))) (fma (/ (* (log (/ -1 N)) (log (/ -1 N))) N) 3 (/ (* (* 3 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* (* (+ (- (log -1) (log -1)) (log N)) (pow N 3)) (+ (- (log -1) (log -1)) (log N)))))) (+ (fma 3 (/ (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (* N N) (log (/ -1 N)))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (* (/ (log -1) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (* (* (/ (log (/ -1 N)) N) (/ (log (/ -1 N)) (* N N))) 9))) (+ (+ (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* (* N N) (+ (- (log -1) (log -1)) (log N)))) (fma 3 (/ (* (* (log -1) (log -1)) (log (/ -1 N))) (* (+ (- (log -1) (log -1)) (log N)) (pow N 3))) (/ (pow (log (/ -1 N)) 3) (* (* (+ (- (log -1) (log -1)) (log N)) (pow N 3)) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N))))))) (+ (+ (/ (* (* 9/2 (log -1)) (* (log (/ -1 N)) (log (/ -1 N)))) (* (* N N) (+ (- (log -1) (log -1)) (log N)))) (/ (* 6 (log -1)) (/ N (log (/ -1 N))))) (+ (+ (* (/ 9 (* N N)) (/ (/ (* (* (log -1) (log -1)) (log (/ -1 N))) (+ (- (log -1) (log -1)) (log N))) (+ (- (log -1) (log -1)) (log N)))) (/ (* 3 (* (* (log -1) (log -1)) (log (/ -1 N)))) (* (* (+ (- (log -1) (log -1)) (log N)) (pow N 3)) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))))) (fma (/ (* (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (/ (* (log -1) (log -1)) (+ (- (log -1) (log -1)) (log N)))) (pow N 3)) 3 (* (/ (log (/ -1 N)) (+ (- (log -1) (log -1)) (log N))) (* (/ (log (/ -1 N)) N) (/ (log (/ -1 N)) (* N N)))))))))))) (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 145 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (+ (* 7/4 (pow N 5)) (pow N 3)) (+ (* 3/2 (pow N 4)) (pow (log N) 3)))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N)))) (cbrt (- (fma N (* N N) (* (- 3/2) (pow N 4))) (fma (* (log N) (log N)) (log N) (* (pow N 5) (- 7/4)))))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) * * * * [misc]progress: [ 146 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ (pow (log (/ 1 N)) 2) (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ 1 (pow N 3))))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma 3 (/ (* (log N) (log N)) N) (- (+ (fma (/ (log N) (* N N)) (/ (log N) N) (/ (/ 1 N) (* N N))) (* (/ (- 3) N) (/ (log N) (* N N)))) (fma (* (/ (log N) N) (/ (log N) N)) 3/2 (/ (- 3) (/ (* N N) (log N))))))) (/ (/ (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3))))) * * * * [misc]progress: [ 147 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3)))))))))))))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 3 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))))))))))))))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (107 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (+ (+ (fma 3 (* (/ (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N))) (* (/ 9/2 (* N N)) (/ (* (* (log -1) (log -1)) (log (/ -1 N))) (+ (- (log -1) (log -1)) (log N))))) (+ (+ (fma (* (/ (log -1) (+ (- (log -1) (log -1)) (log N))) (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N))) 3 (* (/ 3 (* N N)) (* (/ (* (log -1) (log -1)) (+ (- (log -1) (log -1)) (log N))) (/ (log -1) (+ (- (log -1) (log -1)) (log N)))))) (+ (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (+ (- (log -1) (log -1)) (log N))) (/ (log (/ -1 N)) (* N N))) 3/2 (* (/ (* (log -1) (log -1)) (pow N 3)) (/ (log -1) (+ (- (log -1) (log -1)) (log N))))) (fma (/ (* (/ (log -1) (* N N)) (* (log (/ -1 N)) (log (/ -1 N)))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) 9 (/ (* (* (log -1) (log -1)) 3) N)))) (fma (/ (* (* (log -1) (log -1)) (/ (log (/ -1 N)) (pow N 3))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) 9 (* (/ (log -1) (pow N 3)) (/ (/ (* (log -1) (log -1)) (+ (- (log -1) (log -1)) (log N))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))))))) (fma 3 (/ (log (/ -1 N)) (/ N (log (/ -1 N)))) (/ (* (* 3 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N))))))) (+ (fma 3 (/ (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (* N N) (log (/ -1 N)))) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) (/ (* (* 9 (log -1)) (* (log (/ -1 N)) (log (/ -1 N)))) (* (pow N 3) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))))) (+ (+ (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* (* N N) (+ (- (log -1) (log -1)) (log N)))) (fma 3 (* (/ (* (log -1) (log -1)) (pow N 3)) (/ (log (/ -1 N)) (+ (- (log -1) (log -1)) (log N)))) (* (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N)) (/ (log (/ -1 N)) (pow (+ (- (log -1) (log -1)) (log N)) 3))))) (+ (fma 9/2 (* (/ (log -1) (* N N)) (/ (* (log (/ -1 N)) (log (/ -1 N))) (+ (- (log -1) (log -1)) (log N)))) (* 6 (* (/ (log -1) N) (log (/ -1 N))))) (+ (fma 3 (/ (* (/ (* (log -1) (log -1)) (+ (- (log -1) (log -1)) (log N))) (/ (log -1) (+ (- (log -1) (log -1)) (log N)))) (pow N 3)) (* (/ (log (/ -1 N)) (+ (- (log -1) (log -1)) (log N))) (* (/ (log (/ -1 N)) (* N N)) (/ (log (/ -1 N)) N)))) (fma (/ (* (/ (log -1) (/ N (log -1))) (/ (log (/ -1 N)) N)) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))) 9 (/ (* (* 3 (* (log -1) (log -1))) (log (/ -1 N))) (* (* (+ (- (log -1) (log -1)) (log N)) (pow N 3)) (* (+ (- (log -1) (log -1)) (log N)) (+ (- (log -1) (log -1)) (log N)))))))))))) (/ (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N))) (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))))) * * * * [misc]progress: [ 148 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 149 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (pow (log1p N) 3) (pow (- (log (/ 1 N))) 3)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N)))) * * * * [misc]progress: [ 150 / 150 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3)))) (cbrt (- (pow (log1p N) 3) (pow (- (log -1) (log (/ -1 N))) 3)))) (fma (+ (log N) (log1p N)) (log1p N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (fma (+ (log1p N) (log N)) (log1p N) (* (log N) (log N)))) (* (cbrt (- (pow (log1p N) 3) (pow (log N) 3))) (cbrt (- (pow (log1p N) 3) (pow (log N) 3))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (/ (exp (log1p N)) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p N)) N)) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p N)) N) in N * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p N)) N)) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p N)) N) in N * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (exp (log1p (/ 1 N))) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p (/ 1 N))) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 N))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log N))) 1) into (exp (- (log N))) * [misc]backup-simplify: Simplify (log (exp (- (log N)))) into (- (log N)) * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p (/ 1 N))) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 N))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log N))) 1) into (exp (- (log N))) * [misc]backup-simplify: Simplify (log (exp (- (log N)))) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (- (log N))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (exp (- (log N))) 1) (+ (* (exp (- (log N))) (/ 0 1)))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (exp (- (log N)))) 1)) (pow (exp (- (log N))) 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (exp (- (log N)))) 2)) (pow (exp (- (log N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (- (log N))) 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (exp (- (log N)))) 3)) (pow (exp (- (log N))) 3))) (* -3 (/ (* (pow (* 1 (exp (- (log N)))) 1) (pow (* 2 0) 1)) (pow (exp (- (log N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (- (log N))) 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log N))) -1) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (log (* -1 (exp (- (log -1) (log N))))) into (log (* -1 (exp (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log N))) -1) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (log (* -1 (exp (- (log -1) (log N))))) into (log (* -1 (exp (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (* -1 (exp (- (log -1) (log N)))))) into (+ (log (* -1 (exp (- (log -1) (log N))))) (log N)) * [misc]backup-simplify: Simplify (+ (log (* -1 (exp (- (log -1) (log N))))) (log N)) into (+ (log (* -1 (exp (- (log -1) (log N))))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1 (exp (- (log -1) (log N)))) -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)))) into (exp (- (log -1) (log N))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (exp (- (log -1) (log N)))) 1)) (pow (* -1 (exp (- (log -1) (log N)))) 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (exp (- (log -1) (log N)))) 2)) (pow (* -1 (exp (- (log -1) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (exp (- (log -1) (log N)))) 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (+ (log (* -1 (exp (- (log -1) (log (/ 1 (- N))))))) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (+ (log (/ -1 N)) (log (* -1 (exp (- (log -1) (log (/ -1 N)))))))) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (exp (log1p N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow 1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow 1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 N) 1) into (+ 1 N) * [misc]approximate: Taking taylor expansion of (exp (log1p (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow 1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow 1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (/ 1 N)))) (/ 1 N)) (exp (- (log (/ 1 N))))) into (+ (exp (- (log (/ 1 N)))) (/ (exp (- (log (/ 1 N)))) N)) * [misc]approximate: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* -1 (exp (- (log -1) (log N)))) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow -1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into -1/5 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 5) 120)) (* (/ (pow -1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow -1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 6) 720)) (* (/ (pow -1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow -1 3) 6) (/ (pow -1/3 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow -1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow -1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow -1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow -1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow -1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow -1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow -1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow -1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow -1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow -1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow -1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow -1 1)))) 5040) into -1/7 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 7) 5040)) (* (/ (pow -1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow -1 4) 24) (/ (pow -1/3 1) 1)) (* (/ (pow -1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow -1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/5 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/3 2) 2)) (* (/ (pow -1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow -1/5 1) 1)) (* (/ (pow -1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (exp (- (log -1) (log (/ 1 (- N)))))) (/ 1 (- N))) (exp (- (log -1) (log (/ 1 (- N)))))) into (+ (/ (exp (- (log -1) (log (/ -1 N)))) N) (exp (- (log -1) (log (/ -1 N))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (exp (log1p N)) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (log1p N)) N) in N * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (exp (log1p N)) N) in N * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow 1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow 1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ 1 (/ 1 N)) * [misc]approximate: Taking taylor expansion of (/ (exp (log1p (/ 1 N))) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 N))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log N))) 1) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 N))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log N))) 1) into (exp (- (log N))) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (exp (- (log N))) 1) (+ (* (exp (- (log N))) (/ 0 1)))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow 1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow 1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (/ 1 N)))) (pow (/ 1 N) 2)) (* (exp (- (log (/ 1 N)))) (/ 1 N))) into (+ (/ (exp (- (log (/ 1 N)))) (pow N 2)) (/ (exp (- (log (/ 1 N)))) N)) * [misc]approximate: Taking taylor expansion of (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log N))) -1) into (* -1 (exp (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log N))) -1) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* -1 (exp (- (log -1) (log N)))) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1 (exp (- (log -1) (log N)))) -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)))) into (exp (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow -1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into -1/5 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 5) 120)) (* (/ (pow -1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow -1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 6) 720)) (* (/ (pow -1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow -1 3) 6) (/ (pow -1/3 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow -1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow -1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow -1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow -1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow -1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow -1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow -1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow -1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow -1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow -1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow -1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow -1 1)))) 5040) into -1/7 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 7) 5040)) (* (/ (pow -1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow -1 4) 24) (/ (pow -1/3 1) 1)) (* (/ (pow -1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow -1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/5 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/3 2) 2)) (* (/ (pow -1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow -1/5 1) 1)) (* (/ (pow -1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log -1) (log (/ 1 (- N))))) (pow (/ 1 (- N)) 2)) (* (* -1 (exp (- (log -1) (log (/ 1 (- N)))))) (/ 1 (- N)))) into (+ (/ (exp (- (log -1) (log (/ -1 N)))) N) (/ (exp (- (log -1) (log (/ -1 N)))) (pow N 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * * * * [misc]progress: [ 2 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * * * * [misc]progress: [ 3 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (exp (log1p N)) N)) (cbrt (/ (exp (log1p N)) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (exp (log1p N)) N))) (log (cbrt (/ (exp (log1p N)) N)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (exp (log1p N)) N))) (log (cbrt (/ (exp (log1p N)) N)))) * [enter]simplify: Simplifying (log (cbrt (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (exp (log1p N)) N))) * [exit]simplify: Simplified to (log (cbrt (/ (exp (log1p N)) N))) * * * * [misc]progress: [ 4 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (exp (log1p N)) N))) * [exit]simplify: Simplified to (log (sqrt (/ (exp (log1p N)) N))) * [enter]simplify: Simplifying (log (sqrt (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (exp (log1p N)) N))) * [exit]simplify: Simplified to (log (sqrt (/ (exp (log1p N)) N))) * * * * [misc]progress: [ 5 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 6 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * [enter]simplify: Simplifying (log (/ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 7 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 8 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 9 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * * * * [misc]progress: [ 12 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * * * * [misc]progress: [ 13 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (exp (log1p N)) N))) (cbrt (log (/ (exp (log1p N)) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [enter]simplify: Simplifying (cbrt (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * * * * [misc]progress: [ 14 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (exp (log1p N)) N)) (log (/ (exp (log1p N)) N))) (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * * * * [misc]progress: [ 15 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [enter]simplify: Simplifying (sqrt (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * * * * [misc]progress: [ 16 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (exp (log1p N))) * [exit]simplify: Simplified to (expm1 (exp (log1p N))) * * * * [misc]progress: [ 18 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (exp (log1p N))) * [exit]simplify: Simplified to (log1p (exp (log1p N))) * * * * [misc]progress: [ 19 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (log1p N)) (cbrt (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (log1p N)) (cbrt (log1p N)))) * [exit]simplify: Simplified to (exp (* (cbrt (log1p N)) (cbrt (log1p N)))) * * * * [misc]progress: [ 21 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (sqrt (log1p N))) * [exit]simplify: Simplified to (exp (sqrt (log1p N))) * * * * [misc]progress: [ 22 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 23 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 26 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (exp (log1p N))) * [exit]simplify: Simplified to (exp (exp (log1p N))) * * * * [misc]progress: [ 27 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (log1p N))) (cbrt (exp (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (log1p N))) (cbrt (exp (log1p N)))) * [exit]simplify: Simplified to (* (cbrt (exp (log1p N))) (cbrt (exp (log1p N)))) * [enter]simplify: Simplifying (cbrt (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (exp (log1p N))) * [exit]simplify: Simplified to (cbrt (exp (log1p N))) * * * * [misc]progress: [ 28 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (log1p N)) (exp (log1p N))) (exp (log1p N))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (exp (fma 2 (log1p N) (log1p N))) * [exit]simplify: Simplified to (exp (fma 2 (log1p N) (log1p N))) * * * * [misc]progress: [ 29 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (exp (log1p N))) * [exit]simplify: Simplified to (sqrt (exp (log1p N))) * [enter]simplify: Simplifying (sqrt (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (exp (log1p N))) * [exit]simplify: Simplified to (sqrt (exp (log1p N))) * * * * [misc]progress: [ 30 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (expm1 (/ (exp (log1p N)) N)) * * * * [misc]progress: [ 32 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (log1p (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (log1p (/ (exp (log1p N)) N)) * * * * [misc]progress: [ 33 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 35 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (exp (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (exp (/ (exp (log1p N)) N)) * * * * [misc]progress: [ 36 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (exp (log1p N)) N)) (cbrt (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (exp (log1p N)) N)) (cbrt (/ (exp (log1p N)) N))) * [exit]simplify: Simplified to (* (cbrt (/ (exp (log1p N)) N)) (cbrt (/ (exp (log1p N)) N))) * [enter]simplify: Simplifying (cbrt (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (cbrt (/ (exp (log1p N)) N)) * * * * [misc]progress: [ 37 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (exp (log1p N)) N) (/ (exp (log1p N)) N)) (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (pow (/ (exp (log1p N)) N) 3) * [exit]simplify: Simplified to (pow (/ (exp (log1p N)) N) 3) * * * * [misc]progress: [ 38 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (sqrt (/ (exp (log1p N)) N)) * [enter]simplify: Simplifying (sqrt (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (sqrt (/ (exp (log1p N)) N)) * * * * [misc]progress: [ 39 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (exp (log1p N))) * [exit]simplify: Simplified to (- (exp (log1p N))) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 40 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 42 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (exp (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ N (exp (log1p N))) * [exit]simplify: Simplified to (/ N (exp (log1p N))) * * * * [misc]progress: [ 43 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (exp (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ N (cbrt (exp (log1p N)))) * [exit]simplify: Simplified to (/ N (cbrt (exp (log1p N)))) * * * * [misc]progress: [ 44 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (exp (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ N (sqrt (exp (log1p N)))) * [exit]simplify: Simplified to (/ N (sqrt (exp (log1p N)))) * * * * [misc]progress: [ 45 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (exp (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ N (exp (log1p N))) * [exit]simplify: Simplified to (/ N (exp (log1p N))) * * * * [misc]progress: [ 46 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- N (fma (* N N) 1/2 (log N))) * * * * [misc]progress: [ 47 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 48 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (+ (log (/ -1 N)) (log (* -1 (exp (- (log -1) (log (/ -1 N)))))))) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (+ (- (log N) (/ 1/2 (* N N))) (+ (- (log -1) (log N)) (+ (/ 1 N) (log -1)))) * * * * [misc]progress: [ 49 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ 1 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 50 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (- (log (/ 1 N)))) (/ (exp (- (log (/ 1 N)))) N)) N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (log (/ (+ (/ N N) N) N)) * * * * [misc]progress: [ 51 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (/ (exp (- (log -1) (log (/ -1 N)))) N) (exp (- (log -1) (log (/ -1 N))))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 52 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ 1 N)) * * * * [misc]progress: [ 53 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ (exp (- (log (/ 1 N)))) (pow N 2)) (/ (exp (- (log (/ 1 N)))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (log (+ (/ N N) (/ 1 N))) * * * * [misc]progress: [ 54 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ (exp (- (log -1) (log (/ -1 N)))) N) (/ (exp (- (log -1) (log (/ -1 N)))) (pow N 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log1p (/ 1 N)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N)