* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 122 additional inputs, on iter 1 have 134 / 256 * * * * [misc]points: Computing exacts on every 7 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 122 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 57 additional inputs, on iter 2 have 199 / 256 * * * * [misc]points: Computing exacts on every 3 of 57 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 57 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 33 additional inputs, on iter 3 have 223 / 256 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 33 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 4 have 241 / 256 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 5 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 9 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [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 (11 enodes) * * [misc]simplify: iters left: 3 (13 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 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p N)) (cbrt (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 32 ] 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) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p N)) N) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (exp (log1p N)) N))) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 32 ] 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 (log1p N)) (sqrt (log N))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) * [enter]simplify: Simplifying (- (sqrt (log1p N)) (sqrt (log N))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 32 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (- N (fma N (* N 1/2) (log N))) * [misc]simplify: Simplified (2) to (λ (N) (- N (fma N (* N 1/2) (log N)))) * * * * [misc]progress: [ 31 / 32 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * [misc]simplify: Simplified (2) to (λ (N) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 32 / 32 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * [misc]simplify: Simplified (2) to (λ (N) (fma (* (/ 1 N) (/ 1 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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 N) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in 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]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 (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in 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]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 (/ 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 (+ 0 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 (- (/ 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 (/ (+ 1 (/ 1 N)) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in 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]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 (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in 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]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 (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 0 1)))) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 1/3 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 (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in 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]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 (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in 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]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 (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [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) 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 (- 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 (/ 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 (- 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 (- 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 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 -1/3 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: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ 1 N) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in 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]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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in 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]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 (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 (- (/ 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 N) 1) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in 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]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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in 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]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 (/ 1 1) into 1 * [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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 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 (- (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 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 (- (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 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 (- (+ (* 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 (- (+ (* 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 (/ 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 (- (+ (* 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 (- (+ (* 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 (/ 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 N)) 1) into (+ (/ 1 N) 1) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in 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]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 (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in 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]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 (/ -1 -1) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 -1) (+ (* 1 (/ 0 -1)))) 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 (- 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 (/ 0 -1)) (* -1 (/ 0 -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 (- 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 (- 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 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -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 (- 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 (- 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 (/ 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) 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 (- 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 (/ 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) 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 (- 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 (/ 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) 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 (- 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 (/ 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 (- N))) 1) into (+ (/ 1 N) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ N 1) N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log 1) (log (/ (+ 1 N) N)))) * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N)))) * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 39 ] 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) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))) * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ N 1)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))) * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (fma (* N N) N 1) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))) * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* N N)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- 1 (* N N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N))))) * * * * [misc]progress: [ 34 / 39 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (- N (fma N (* N 1/2) (log N))) * [misc]simplify: Simplified (2) to (λ (N) (- N (fma N (* N 1/2) (log N)))) * * * * [misc]progress: [ 35 / 39 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * [misc]simplify: Simplified (2) to (λ (N) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 36 / 39 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * [misc]simplify: Simplified (2) to (λ (N) (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 N) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 N) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 N) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) * * * * [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)) (+ (pow (log N) 3) (* 3/2 (pow N 4)))) * [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 (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (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 (/ (+ (* -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 (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))))) 0) into (- (+ (* 3 (log N)) (* 3/2 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (- (+ (* 3 (log N)) (* 3/2 (pow (log N) 2)))) into (- (+ (* 3 (log N)) (* 3/2 (pow (log N) 2)))) * [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 (log N))) (* 2 (/ 1 (pow (log N) 3)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/6 (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (log N))) (* 2 (/ 1 (pow (log N) 3))))))) (+ (* 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 (log N)) (/ 1 (pow (log N) 3)))) * [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 (log N)) (/ 1 (pow (log N) 3)))) 1) 1)))) into (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (+ (/ 1 (log N)) (/ 1 (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 (+ (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 3))))) 0) into (+ (* 3 (log N)) (+ (pow (log N) 2) 1)) * [misc]backup-simplify: Simplify (+ (* 3 (log N)) (+ (pow (log N) 2) 1)) into (+ (* 3 (log N)) (+ (pow (log N) 2) 1)) * [misc]backup-simplify: Simplify (+ (* (+ (* 3 (log (/ 1 N))) (+ (pow (log (/ 1 N)) 2) 1)) (pow (/ 1 N) 3)) (+ (* (- (+ (* 3 (log (/ 1 N))) (* 3/2 (pow (log (/ 1 N)) 2)))) (pow (/ 1 N) 2)) (* (* 3 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ (pow (log (/ 1 N)) 2) (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 (- (+ (pow (log N) 3) (* 3 (* (log N) (pow (log -1) 2)))) (+ (* 3 (* (pow (log N) 2) (log -1))) (pow (log -1) 3))) * [misc]backup-simplify: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (pow (log N) 3) (* 3 (* (log N) (pow (log -1) 2)))) (+ (* 3 (* (pow (log N) 2) (log -1))) (pow (log -1) 3)))) 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 N) (log -1))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (- (* 6 (* (log N) (log -1))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) into (- (* 6 (* (log N) (log -1))) (+ (* 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 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N)))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N)))))) 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))) (+ (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N))))))) (+ (* 9/2 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N))))))) (+ (* 9/2 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9/2 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2))) (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N))))))) (+ (* 9/2 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3/2 (/ (pow (log -1) 3) (- (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 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N)))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))))) into (- (+ (/ 1 (pow (- (log -1) (log N)) 3)) (+ (/ 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))))) 3) 6)) (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1) (/ (pow (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N)))))) 1) 1)) (* (/ (pow (- (+ (/ 1 (pow (- (log -1) (log N)) 3)) (+ (/ 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))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 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 (+ (* (- 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 (+ (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) 0) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 3))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2)))))))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 3))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2)))))))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (+ (* 3 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log N) 3) (- (log -1) (log N))) (* 3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 3)))))))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (/ (pow (log -1) 3) (- (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) (pow (- (log -1) (log (/ 1 (- N)))) 3)) (+ (* 3 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N))))) (* 3 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 3)))))))) (+ (* 3 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (+ (* 3 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 3)) (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N))))))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 9/2 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 3/2 (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N))))))))) (+ (* 9/2 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (* (- (* 6 (* (log (/ 1 (- N))) (log -1))) (+ (* 3 (pow (log (/ 1 (- N))) 2)) (* 3 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 9/2 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (* 3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))))))))))))))) (+ (* 9/2 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 6 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (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 2 1) * [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 (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))))) * [misc]backup-simplify: Simplify (* -1 (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))))) into (* -1 (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (pow (log (/ 1 N)) 3) (+ (* 3 (/ 1 (pow (log (/ 1 N)) 2))) (* 3/2 (/ 1 (log (/ 1 N))))))) (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)) (+ (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (pow (log (/ 1 N)) 3)))) * [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 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N)))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N)))))) 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 (- (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (* (pow (log (/ -1 N)) 2) (log -1))) (+ (pow (log -1) 3) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log -1) 2) N)) (* 9/2 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 2))))))))))) (+ (* 9/2 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (* (log (/ -1 N)) (pow (log -1) 2))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (pow (log (/ -1 N)) 3) (+ (* 6 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2))))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 2 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 3 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 4 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 5 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 6 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 7 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 8 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 9 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 10 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 11 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 12 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 13 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 14 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 15 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 16 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 17 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 18 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 19 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 20 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 21 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 22 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 23 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 24 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 25 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 26 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 27 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 28 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 29 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 30 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 31 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 32 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 33 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 34 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 35 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 36 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 37 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 38 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 39 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 40 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 41 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 42 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 43 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 44 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (log1p N) (log1p N)) (log1p N) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 45 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 46 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 47 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 48 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 49 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 50 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 51 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 52 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 53 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (* (log N) (log N)) (- (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (* (log N) (log N)) (- (log N)))) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (* (log N) (log N)) (- (log N)))) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 54 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (* (log N) (log N)) (- (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (* (log N) (log N)) (- (log N)))) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (* (log N) (log N)) (- (log N)))) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 55 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3)) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * [exit]simplify: Simplified to (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log1p N) (log1p N)) (log1p N) (* (- (log N)) (* (log N) (log N)))) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 56 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 57 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 58 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 59 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 60 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 61 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 62 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 63 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 64 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 65 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 66 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) (pow (cbrt (log1p N)) 3) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 67 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 68 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 69 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 70 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 71 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 72 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 73 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 74 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 75 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 76 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 77 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (log1p N)) 3) (pow (sqrt (log1p N)) 3) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 78 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 79 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 80 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 81 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 82 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 83 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 84 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 85 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 86 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 87 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 88 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 3) (pow (log1p N) 3) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 89 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 90 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 91 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 92 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 93 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 94 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 95 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 96 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 97 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 98 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 99 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p N) (* (log1p N) (log1p N)) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 100 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 101 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 102 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 103 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (log N) (* (log N) (log 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 (34 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 104 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 105 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 106 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 107 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 108 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 109 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 110 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (* (pow (log N) 3) 1))) * * [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 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 111 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 112 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 113 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 114 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 115 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 116 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 117 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 118 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 119 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 120 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 121 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (log1p N) 3) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma 1 (pow (log1p N) 3) (- (* (pow (log N) 3) 1))) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 122 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 237 ] 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 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma (* (log1p N) (log1p N)) (pow (cbrt (log1p N)) 3) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 125 / 237 ] 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)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma (* (sqrt (log1p N)) (log1p N)) (pow (sqrt (log1p N)) 3) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 126 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma 1 (pow (log1p N) 3) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 127 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p N) (log1p N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma (* (log1p N) (log1p N)) (log1p N) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 128 / 237 ] 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 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma (* (log1p N) (log1p N)) (cbrt (pow (log1p N) 3)) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 129 / 237 ] 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 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma (* (log1p N) (log1p N)) (pow (cbrt (log1p N)) 3) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 130 / 237 ] 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)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma (* (sqrt (log1p N)) (log1p N)) (pow (sqrt (log1p N)) 3) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 131 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma 1 (pow (log1p N) 3) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 132 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma (log1p N) (* (log1p N) (log1p N)) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 133 / 237 ] 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)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma (sqrt (pow (log1p N) 3)) (sqrt (pow (log1p N) 3)) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 134 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 237 ] 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 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (exp (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (log (exp (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 136 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 138 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 139 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 140 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 141 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 142 / 237 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (fma (log N) (+ (log1p N) (log N)) (* (log1p N) (log1p N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log N) (+ (log1p N) (log N)) (* (log1p N) (log1p N))) (- (log1p N) (log N))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (fma (log N) (+ (log1p N) (log N)) (* (log1p N) (log1p N))) (- (log1p N) (log N))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 143 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 145 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 146 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 147 / 237 ] 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 (log N) (sqrt (log N)) (* (sqrt (log1p N)) (log1p N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log N) (sqrt (log N)) (* (sqrt (log1p N)) (log1p N))) (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (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 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (- (* (sqrt (log1p N)) (log1p N)) (* (log N) (sqrt (log N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) (- (* (sqrt (log1p N)) (log1p N)) (* (log N) (sqrt (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 148 / 237 ] 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 (log N) (sqrt (log N)) (* (sqrt (log1p N)) (log1p N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log N) (sqrt (log N)) (* (sqrt (log1p N)) (log1p N))) (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (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 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (- (* (sqrt (log1p N)) (log1p N)) (* (log N) (sqrt (log N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) (- (* (sqrt (log1p N)) (log1p N)) (* (log N) (sqrt (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 149 / 237 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) (- (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [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 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (- (* (sqrt (log1p N)) (log1p N)) (sqrt (pow (log N) 3))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (+ (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) (- (* (sqrt (log1p N)) (log1p N)) (sqrt (pow (log N) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 150 / 237 ] 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 (log N) (sqrt (log N)) (* (sqrt (log1p N)) (log1p N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log N) (sqrt (log N)) (* (sqrt (log1p N)) (log1p N))) (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (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 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (- (* (sqrt (log1p N)) (log1p N)) (* (log N) (sqrt (log N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) (- (* (sqrt (log1p N)) (log1p N)) (* (log N) (sqrt (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 151 / 237 ] 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 (log N) (sqrt (log N)) (* (sqrt (log1p N)) (log1p N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log N) (sqrt (log N)) (* (sqrt (log1p N)) (log1p N))) (- (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (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 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (- (* (sqrt (log1p N)) (log1p N)) (* (log N) (sqrt (log N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (+ (pow (sqrt (log1p N)) 3) (pow (sqrt (log N)) 3)) (- (* (sqrt (log1p N)) (log1p N)) (* (log N) (sqrt (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 152 / 237 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log1p N) (sqrt (log1p N)) (sqrt (pow (log N) 3))) (- (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [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 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (- (* (sqrt (log1p N)) (log1p N)) (sqrt (pow (log N) 3))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (+ (pow (sqrt (log1p N)) 3) (sqrt (pow (log N) 3))) (- (* (sqrt (log1p N)) (log1p N)) (sqrt (pow (log N) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 153 / 237 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) (- (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [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 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (+ (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 154 / 237 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) (- (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [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 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (+ (sqrt (pow (log1p N) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 155 / 237 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (+ (sqrt (pow (log N) 3)) (sqrt (pow (log1p N) 3))) (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [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 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (+ (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 156 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* 1 (- (pow (log1p N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* 1 (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 157 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* 1 (- (pow (log1p N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* 1 (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 158 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* 1 (- (pow (log1p N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* 1 (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 159 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* 1 (- (pow (log1p N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* 1 (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 160 / 237 ] 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 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* 1 (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 161 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 162 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 163 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 164 / 237 ] 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) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (exp (* (log (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 165 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) (* 1 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 167 / 237 ] 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 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (* (* (log N) (log N)) (pow (cbrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 168 / 237 ] 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)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (* (* (sqrt (log N)) (log N)) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 169 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (* 1 (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 170 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 171 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 172 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 173 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 174 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 176 / 237 ] 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 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (* (* (log N) (log N)) (pow (cbrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 177 / 237 ] 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)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (* (* (sqrt (log N)) (log N)) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 178 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (* 1 (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 179 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 180 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (* (* (log N) (log N)) (log N))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 181 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 182 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 183 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 184 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 185 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (pow (log N) (+ 1 1)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (pow (log N) (+ 1 1)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 186 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (pow (* (log N) (log N)) 1) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 187 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 188 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (pow (log N) (+ 1 1)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 189 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 190 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (log N)) (log (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (log N)) (log (log N))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (exp (+ (log (log N)) (log (log N)))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 191 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 192 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 193 / 237 ] 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 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (cbrt (* (pow (log N) 3) (pow (log N) 3))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 194 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 195 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 196 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 197 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 198 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log N)) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (* (log N) (* (cbrt (log N)) (cbrt (log N)))) (cbrt (log N))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 199 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log N)) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (* (log N) (sqrt (log N))) (sqrt (log N))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 200 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (* (log N) 1) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 201 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log N)) (cbrt (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log N)) (cbrt (log N))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (log N))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 202 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log N)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (sqrt (log N)) (* (sqrt (log N)) (log N))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 203 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 204 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 205 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 206 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 207 / 237 ] 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) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 208 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 209 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (pow (log1p N) (* 1 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 210 / 237 ] 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 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (* (* (log1p N) (log1p N)) (pow (cbrt (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 211 / 237 ] 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)) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (* (* (sqrt (log1p N)) (log1p N)) (pow (sqrt (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 212 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (* 1 (pow (log1p N) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 213 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 214 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 215 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 216 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 217 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 218 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 219 / 237 ] 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 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (* (* (log1p N) (log1p N)) (pow (cbrt (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 220 / 237 ] 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)) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (* (* (sqrt (log1p N)) (log1p N)) (pow (sqrt (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 221 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (* 1 (pow (log1p N) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 222 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 223 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p N) (log1p N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (* (* (log1p N) (log1p N)) (log1p N)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 224 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 225 / 237 ] simplifiying candidate # * * * * [misc]progress: [ 226 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/4 (pow N 5)) (pow N 3)) (+ (pow (log N) 3) (* 3/2 (pow N 4)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (- (- (* (pow N 5) 7/4) (* (pow N 4) 3/2)) (fma (* (log N) (log N)) (log N) (* (- N) (* N N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (- (- (* (pow N 5) 7/4) (* (pow N 4) 3/2)) (fma (* (log N) (log N)) (log N) (* (- N) (* N N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 227 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ (pow (log (/ 1 N)) 2) (pow N 3))))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (+ (fma (/ (- (log N)) (* N N)) (/ (- (log N)) N) (fma (/ 3 N) (/ (- (log N)) (* N N)) (/ (/ 1 N) (* N N)))) (- (* (/ 3 N) (* (log N) (log N))) (fma 3/2 (* (/ (log N) N) (/ (log N) N)) (* (/ (/ 3 N) N) (- (log N)))))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (+ (fma (/ (- (log N)) (* N N)) (/ (- (log N)) N) (fma (/ 3 N) (/ (- (log N)) (* N N)) (/ (/ 1 N) (* N N)))) (- (* (/ 3 N) (* (log N) (log N))) (fma 3/2 (* (/ (log N) N) (/ (log N) N)) (* (/ (/ 3 N) N) (- (log N)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 228 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 9/2 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (* 3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))))))))))))))) (+ (* 9/2 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 6 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3))))))))))))))) * * [misc]simplify: iters left: 6 (92 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (- (+ (+ (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))) (/ (log -1) (pow N 3))) 3 (* (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (* (/ (log -1) (* N N)) 9))) (fma 3 (/ (* (log -1) (log -1)) N) (/ (* (* 3/2 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (* N N))))) (+ (+ (fma 9/2 (* (* (/ (log -1) N) (/ (log -1) N)) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (log -1) (/ (- (log -1) (log (/ -1 N))) (* (/ (log -1) N) (/ (log -1) (* N N)))))) (+ (fma 3 (* (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (/ (log (/ -1 N)) (pow N 3))) (* 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) (* N N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (fma 3 (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (pow N 3))) (pow (- (log -1) (log (/ -1 N))) 3)) (* 3 (/ (* (log (/ -1 N)) (log (/ -1 N))) N))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) (/ (log -1) (pow (- (log -1) (log (/ -1 N))) 3))))))) (+ (+ (+ (fma 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (* (log (/ -1 N)) (log (/ -1 N))) (pow N 3)))) (fma (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (pow N 3))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) 9 (/ (/ (* (* 3 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (fma (/ (log (/ -1 N)) (/ N (log -1))) 6 (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* (- (log -1) (log (/ -1 N))) (* N N)))) (+ (+ (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) 3)) (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (pow N 3)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (* (/ (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) 3))))) (fma (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (- (log -1) (log (/ -1 N))) (/ (log -1) (* N N)))) 9/2 (* (/ (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ (* (log (/ -1 N)) (log (/ -1 N))) (pow N 3)))))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (- (+ (+ (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))) (/ (log -1) (pow N 3))) 3 (* (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (* (/ (log -1) (* N N)) 9))) (fma 3 (/ (* (log -1) (log -1)) N) (/ (* (* 3/2 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (* N N))))) (+ (+ (fma 9/2 (* (* (/ (log -1) N) (/ (log -1) N)) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (log -1) (/ (- (log -1) (log (/ -1 N))) (* (/ (log -1) N) (/ (log -1) (* N N)))))) (+ (fma 3 (* (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (/ (log (/ -1 N)) (pow N 3))) (* 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) (* N N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (fma 3 (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (pow N 3))) (pow (- (log -1) (log (/ -1 N))) 3)) (* 3 (/ (* (log (/ -1 N)) (log (/ -1 N))) N))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) (/ (log -1) (pow (- (log -1) (log (/ -1 N))) 3))))))) (+ (+ (+ (fma 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (* (log (/ -1 N)) (log (/ -1 N))) (pow N 3)))) (fma (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (pow N 3))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) 9 (/ (/ (* (* 3 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (fma (/ (log (/ -1 N)) (/ N (log -1))) 6 (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* (- (log -1) (log (/ -1 N))) (* N N)))) (+ (+ (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) 3)) (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (pow N 3)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (* (/ (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) 3))))) (fma (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (- (log -1) (log (/ -1 N))) (/ (log -1) (* N N)))) 9/2 (* (/ (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ (* (log (/ -1 N)) (log (/ -1 N))) (pow N 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 229 / 237 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 230 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (log (/ 1 N))) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (pow (log N) 3) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 231 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (log -1) (log (/ -1 N))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (pow (log N) 3) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 232 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (log N) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 233 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (log (/ 1 N)) 2) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 234 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (log -1) (log (/ -1 N))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 235 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/4 (pow N 5)) (pow N 3)) (* 3/2 (pow N 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (- (fma 7/4 (pow N 5) (pow N 3)) (* 3/2 (pow N 4))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (- (- (fma 7/4 (pow N 5) (pow N 3)) (* 3/2 (pow N 4))) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 236 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (pow (log (/ 1 N)) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (fma (/ (* (log N) (log N)) N) (- 3 (/ 3/2 N)) (fma (* (log N) (log N)) (log N) (* (/ (log N) N) (/ 3 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (- (fma (/ (* (log N) (log N)) N) (- 3 (/ 3/2 N)) (fma (* (log N) (log N)) (log N) (* (/ (log N) N) (/ 3 N)))) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 237 / 237 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (* (pow (log (/ -1 N)) 2) (log -1))) (+ (pow (log -1) 3) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log -1) 2) N)) (* 9/2 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 2))))))))))) (+ (* 9/2 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (* (log (/ -1 N)) (pow (log -1) 2))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (pow (log (/ -1 N)) 3) (+ (* 6 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (- (+ (+ (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (* N N)) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) 3/2 (* (* (log (/ -1 N)) (log (/ -1 N))) (* (log -1) 3))) (pow (log -1) 3)) (+ (fma (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (* N N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) 9 (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (+ (/ (* 9/2 (log (/ -1 N))) (/ (- (log -1) (log (/ -1 N))) (* (/ (log -1) N) (/ (log -1) N)))) (fma 3 (/ (log (/ -1 N)) (/ N (log (/ -1 N)))) (/ (* (* 3 (log -1)) (log -1)) N))))) (+ (+ (fma 9/2 (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (* N N)) (/ (log -1) (- (log -1) (log (/ -1 N))))) (* (* (log (/ -1 N)) 3) (* (log -1) (log -1)))) (/ (/ (* (* (log (/ -1 N)) 3) (* (log (/ -1 N)) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* N N))) (+ (fma 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* N N)) (- (log -1) (log (/ -1 N))))) (fma (* (log (/ -1 N)) (log (/ -1 N))) (log (/ -1 N)) (/ (* 6 (log (/ -1 N))) (/ N (log -1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (- (- (+ (+ (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (* N N)) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) 3/2 (* (* (log (/ -1 N)) (log (/ -1 N))) (* (log -1) 3))) (pow (log -1) 3)) (+ (fma (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (* N N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) 9 (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (+ (/ (* 9/2 (log (/ -1 N))) (/ (- (log -1) (log (/ -1 N))) (* (/ (log -1) N) (/ (log -1) N)))) (fma 3 (/ (log (/ -1 N)) (/ N (log (/ -1 N)))) (/ (* (* 3 (log -1)) (log -1)) N))))) (+ (+ (fma 9/2 (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (* N N)) (/ (log -1) (- (log -1) (log (/ -1 N))))) (* (* (log (/ -1 N)) 3) (* (log -1) (log -1)))) (/ (/ (* (* (log (/ -1 N)) 3) (* (log (/ -1 N)) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* N N))) (+ (fma 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* N N)) (- (log -1) (log (/ -1 N))))) (fma (* (log (/ -1 N)) (log (/ -1 N))) (log (/ -1 N)) (/ (* 6 (log (/ -1 N))) (/ N (log -1))))))) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * [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 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) in N * [misc]taylor: Taking taylor expansion of (exp (* (log (log1p N)) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p N)) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* (log N) 3) 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 (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) in N * [misc]taylor: Taking taylor expansion of (exp (* (log (log1p N)) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p N)) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* (log N) 3) 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 (+ (* (- -1) (log N)) 0) into (log N) * [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 (+ (* (log N) 0) (* -1/2 3)) 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 (+ (* (- -1) (log N)) 0) into (log N) * [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 (+ (* (log N) 0) (+ (* -1/2 0) (* 5/24 3))) 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)) (+ (pow (log N) 3) (* 3/2 (pow N 4)))) * [misc]approximate: Taking taylor expansion of (- (exp (* (log (log1p (/ 1 N))) 3)) (pow (log (/ 1 N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (log (log1p (/ 1 N))) 3)) (pow (log (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (exp (* (log (log1p (/ 1 N))) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p (/ 1 N))) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (log (- (log N))) 3) 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 (- (exp (* (log (log1p (/ 1 N))) 3)) (pow (log (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (exp (* (log (log1p (/ 1 N))) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p (/ 1 N))) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (log (- (log N))) 3) 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 (+ (* (log (- (log N))) 0) (* (/ -1 (log N)) 3)) 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 (+ (* (log (- (log N))) 0) (+ (* (/ -1 (log N)) 0) (* (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 3))) 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 (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (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 (/ (+ (* -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 (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))))) 0) into (- (+ (* 3 (log N)) (* 3/2 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (- (+ (* 3 (log N)) (* 3/2 (pow (log N) 2)))) into (- (+ (* 3 (log N)) (* 3/2 (pow (log N) 2)))) * [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 (log N))) (* 2 (/ 1 (pow (log N) 3)))))) * [misc]backup-simplify: Simplify (+ (* (log (- (log N))) 0) (+ (* (/ -1 (log N)) 0) (+ (* (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 0) (* (* 1/6 (- (* 3 (/ 1 (pow (log N) 2))) (+ (* 2 (/ 1 (log N))) (* 2 (/ 1 (pow (log N) 3)))))) 3)))) into (- (* 3/2 (/ 1 (pow (log N) 2))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 3)))) * [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 (log N)) (/ 1 (pow (log N) 3)))) 1) 1)))) into (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (+ (/ 1 (log N)) (/ 1 (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 (+ (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (+ (/ 1 (log N)) (/ 1 (pow (log N) 3))))) 0) into (+ (* 3 (log N)) (+ (pow (log N) 2) 1)) * [misc]backup-simplify: Simplify (+ (* 3 (log N)) (+ (pow (log N) 2) 1)) into (+ (* 3 (log N)) (+ (pow (log N) 2) 1)) * [misc]backup-simplify: Simplify (+ (* (+ (* 3 (log (/ 1 N))) (+ (pow (log (/ 1 N)) 2) 1)) (pow (/ 1 N) 3)) (+ (* (- (+ (* 3 (log (/ 1 N))) (* 3/2 (pow (log (/ 1 N)) 2)))) (pow (/ 1 N) 2)) (* (* 3 (pow (log (/ 1 N)) 2)) (/ 1 N)))) into (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ (pow (log (/ 1 N)) 2) (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 (- (exp (* (log (log1p (/ 1 (- N)))) 3)) (pow (log (/ 1 (- N))) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (log (log1p (/ 1 (- N)))) 3)) (pow (log (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (exp (* (log (log1p (/ 1 (- N)))) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p (/ 1 (- N)))) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (log (- (log -1) (log N))) 3) 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 (- (exp (* (log (log1p (/ 1 (- N)))) 3)) (pow (log (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (exp (* (log (log1p (/ 1 (- N)))) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p (/ 1 (- N)))) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (log (- (log -1) (log N))) 3) 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 N) 3) (* 3 (* (log N) (pow (log -1) 2)))) (+ (* 3 (* (pow (log N) 2) (log -1))) (pow (log -1) 3))) * [misc]backup-simplify: Simplify (+ (pow (- (log -1) (log N)) 3) (- (+ (pow (log N) 3) (* 3 (* (log N) (pow (log -1) 2)))) (+ (* 3 (* (pow (log N) 2) (log -1))) (pow (log -1) 3)))) 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 (+ (* (log (- (log -1) (log N))) 0) (* (/ -1 (- (log -1) (log N))) 3)) 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 N) (log -1))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (- (* 6 (* (log N) (log -1))) (+ (* 3 (pow (log N) 2)) (* 3 (pow (log -1) 2)))) into (- (* 6 (* (log N) (log -1))) (+ (* 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 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (log (- (log -1) (log N))) 0) (+ (* (/ -1 (- (log -1) (log N))) 0) (* (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) 3))) into (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N)))))) 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))) (+ (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N))))))) (+ (* 9/2 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2))) (* 9/2 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N))))))) (+ (* 9/2 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log N)))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 9/2 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2))) (* 3/2 (/ (pow (log N) 3) (- (log -1) (log N))))))) (+ (* 9/2 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (* 3/2 (/ (pow (log -1) 3) (- (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 (+ (* (log (- (log -1) (log N))) 0) (+ (* (/ -1 (- (log -1) (log N))) 0) (+ (* (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) 0) (* (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) 3)))) 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 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N)))))) 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 (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 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 (+ (* (- 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 (+ (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (/ 1 (pow (- (log -1) (log N)) 3)) (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) 0) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 3))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2)))))))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N)))) (+ (/ (pow (log N) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 3))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2)))))))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (+ (/ (pow (log -1) 3) (- (log -1) (log N))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))))))))) into (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log N) 3) (pow (- (log -1) (log N)) 3)) (+ (* 3 (/ (* (log N) (pow (log -1) 2)) (- (log -1) (log N)))) (+ (* 9 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log N) 3) (- (log -1) (log N))) (* 3 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 3)))))))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (pow (- (log -1) (log N)) 3))) (+ (* 3 (/ (* (pow (log N) 2) (log -1)) (- (log -1) (log N)))) (+ (* 9 (/ (* (log N) (pow (log -1) 2)) (pow (- (log -1) (log N)) 2))) (+ (* 3 (/ (pow (log N) 3) (pow (- (log -1) (log N)) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log N)) 3)) (/ (pow (log -1) 3) (- (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) (pow (- (log -1) (log (/ 1 (- N)))) 3)) (+ (* 3 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N))))) (* 3 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 3)))))))) (+ (* 3 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (+ (* 3 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 3)) (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N))))))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 3 (/ (pow (log -1) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 9/2 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 3/2 (/ (pow (log (/ 1 (- N))) 3) (- (log -1) (log (/ 1 (- N))))))))) (+ (* 9/2 (/ (* (pow (log (/ 1 (- N))) 2) (log -1)) (- (log -1) (log (/ 1 (- N)))))) (+ (* 9 (/ (* (log (/ 1 (- N))) (pow (log -1) 2)) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 3 (/ (pow (log (/ 1 (- N))) 3) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 3/2 (/ (pow (log -1) 3) (- (log -1) (log (/ 1 (- N)))))))))) (pow (/ 1 (- N)) 2)) (* (- (* 6 (* (log (/ 1 (- N))) (log -1))) (+ (* 3 (pow (log (/ 1 (- N))) 2)) (* 3 (pow (log -1) 2)))) (/ 1 (- N))))) into (- (+ (* 3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 9/2 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (* 3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))))))))))))))) (+ (* 9/2 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 6 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (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) * [misc]approximate: Taking taylor expansion of (exp (* (log (log1p N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (log (log1p N)) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p N)) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* (log N) 3) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (exp (* (log (log1p N)) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p N)) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* (log N) 3) 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 (+ (* (- -1) (log N)) 0) into (log N) * [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 (+ (* (log N) 0) (* -1/2 3)) 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 (+ (* (- -1) (log N)) 0) into (log N) * [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 (+ (* (log N) 0) (+ (* -1/2 0) (* 5/24 3))) 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 (exp (* (log (log1p (/ 1 N))) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (log (log1p (/ 1 N))) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p (/ 1 N))) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (log (- (log N))) 3) 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 (exp (* (log (log1p (/ 1 N))) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p (/ 1 N))) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (log (- (log N))) 3) 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 (+ (* (log (- (log N))) 0) (* (/ -1 (log N)) 3)) 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 (+ (* (log (- (log N))) 0) (+ (* (/ -1 (log N)) 0) (* (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 3))) 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 (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))))) * [misc]backup-simplify: Simplify (* -1 (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))))) into (* -1 (* (pow (log N) 3) (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (pow (log (/ 1 N)) 3) (+ (* 3 (/ 1 (pow (log (/ 1 N)) 2))) (* 3/2 (/ 1 (log (/ 1 N))))))) (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)) (+ (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (pow (log (/ 1 N)) 3)))) * [misc]approximate: Taking taylor expansion of (exp (* (log (log1p (/ 1 (- N)))) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (log (log1p (/ 1 (- N)))) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p (/ 1 (- N)))) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (log (- (log -1) (log N))) 3) 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 (exp (* (log (log1p (/ 1 (- N)))) 3)) in N * [misc]taylor: Taking taylor expansion of (* (log (log1p (/ 1 (- N)))) 3) in N * [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]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* (log (- (log -1) (log N))) 3) 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 (+ (* (log (- (log -1) (log N))) 0) (* (/ -1 (- (log -1) (log N))) 3)) 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 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (log (- (log -1) (log N))) 0) (+ (* (/ -1 (- (log -1) (log N))) 0) (* (* -1/2 (+ (/ 1 (pow (- (log -1) (log N)) 2)) (/ 1 (- (log -1) (log N))))) 3))) into (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N)))))) 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 (- (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (* (pow (log (/ -1 N)) 2) (log -1))) (+ (pow (log -1) 3) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log -1) 2) N)) (* 9/2 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 2))))))))))) (+ (* 9/2 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (* (log (/ -1 N)) (pow (log -1) 2))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (pow (log (/ -1 N)) 3) (+ (* 6 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2))))))))))) * * * * [misc]progress: [ 3 / 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: [ 4 / 4 ] generating series at (2 2 2 1) * [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: simplifying candidates * * * * [misc]progress: [ 1 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 2 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 3 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 4 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 5 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 6 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 7 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 8 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 9 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 10 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 11 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) (cbrt (exp (* (log (log1p N)) 3))) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 12 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 13 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 14 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 15 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 16 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 17 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 18 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 19 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 20 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 21 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 22 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (log (log1p N)) 3))) (sqrt (exp (* (log (log1p N)) 3))) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 23 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 24 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 25 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 26 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (log N) (* (log N) (log N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (log N)) (* (log N) (log N)) (* (log N) (* (log N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 27 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))) (* (cbrt (pow (log N) 3)) (* (cbrt (pow (log N) 3)) (cbrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 28 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (cbrt (log N)) 3)) (pow (* (cbrt (log N)) (cbrt (log N))) 3) (* (pow (cbrt (log N)) 3) (pow (* (cbrt (log N)) (cbrt (log N))) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 29 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (- (pow (log1p N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (sqrt (log N)) 3)) (pow (sqrt (log N)) 3) (* (pow (sqrt (log N)) 3) (pow (sqrt (log N)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (- (pow (log1p N) 3) (pow (log N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 30 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (pow (log N) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) (pow 1 3) (* (pow (log N) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (- (pow (log N) 3) (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 31 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (* (log N) (log N)) (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (* (log N) (log N))) (log N) (* (* (log N) (log N)) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 32 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow (log N) 3))) (sqrt (pow (log N) 3)) (* (sqrt (pow (log N) 3)) (sqrt (pow (log N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 33 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (log (log1p N)) 3)) (- (* (pow (log N) 3) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (fma (- (pow (log N) 3)) 1 (* (pow (log N) 3) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (+ (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) 0) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 34 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (* (log (log1p N)) 3))) (cbrt (exp (* (log (log1p N)) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma (* (log1p N) (log1p N)) (cbrt (exp (* (log (log1p N)) 3))) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 37 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* (log (log1p N)) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (sqrt (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (fma (sqrt (pow (log1p N) 3)) (sqrt (exp (* (log (log1p N)) 3))) (- (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 38 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (* (log (log1p N)) 3))) (exp (pow (log N) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (exp (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (log (exp (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 40 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 125 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (fma (log N) (+ (log1p N) (log N)) (* (log1p N) (log1p N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log N) (+ (log1p N) (log N)) (* (log1p N) (log1p N))) (- (log1p N) (log N))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (fma (log N) (+ (log1p N) (log N)) (* (log1p N) (log1p N))) (- (log1p N) (log N))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 47 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp (log (log1p N))) (exp (log (log1p N)))) (+ (* (log N) (log N)) (* (exp (log (log1p N))) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (fma (+ (log1p N) (log N)) (log N) (* (log1p N) (log1p N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (+ (log1p N) (log N)) (log N) (* (log1p N) (log1p N))) (- (exp (log (log1p N))) (log N))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (exp (log (log1p N))) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (fma (+ (log1p N) (log N)) (log N) (* (log1p N) (log1p N))) (- (log1p N) (log N))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 48 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp (log (log1p N))) (exp (log (log1p N)))) (+ (* (log N) (log N)) (* (exp (log (log1p N))) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (fma (+ (log1p N) (log N)) (log N) (* (log1p N) (log1p N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (+ (log1p N) (log N)) (log N) (* (log1p N) (log1p N))) (- (exp (log (log1p N))) (log N))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (exp (log (log1p N))) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (fma (+ (log1p N) (log N)) (log N) (* (log1p N) (log1p N))) (- (log1p N) (log N))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 49 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* (log (log1p N)) 3))) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) (- (sqrt (exp (* (log (log1p N)) 3))) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (sqrt (exp (* (log (log1p N)) 3))) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 54 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* (log (log1p N)) 3))) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) (- (sqrt (exp (* (log (log1p N)) 3))) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (sqrt (exp (* (log (log1p N)) 3))) (pow (sqrt (log N)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (fma (log N) (sqrt (log N)) (sqrt (pow (log1p N) 3))) (- (sqrt (pow (log1p N) 3)) (* (log N) (sqrt (log N))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 55 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* (log (log1p N)) 3))) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (* (+ (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) (- (sqrt (exp (* (log (log1p N)) 3))) (sqrt (pow (log N) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (- (sqrt (exp (* (log (log1p N)) 3))) (sqrt (pow (log N) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* (+ (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log1p N) 3)) (sqrt (pow (log N) 3)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 56 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (* 1 (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 57 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 61 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 63 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 64 / 125 ] 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) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 65 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 125 ] 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) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (exp (* (log (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 74 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) (* 1 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 76 / 125 ] 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 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (* (* (log N) (log N)) (pow (cbrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 77 / 125 ] 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)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (* (* (sqrt (log N)) (log N)) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 78 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (* 1 (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 79 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 125 ] 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 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (* (* (log N) (log N)) (pow (cbrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 86 / 125 ] 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)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (* (* (sqrt (log N)) (log N)) (pow (sqrt (log N)) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 87 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (* 1 (pow (log N) 3))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 88 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (* (* (log N) (log N)) (log N))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 90 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (pow (log N) (+ 1 1)) (* (log1p N) (log N)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (pow (log N) (+ 1 1)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 95 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log N) (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (pow (* (log N) (log N)) 1) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 96 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (pow (log N) (+ 1 1)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 98 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (log N)) (log (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (log N)) (log (log N))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (exp (+ (log (log N)) (log (log N)))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 100 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 125 ] 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 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (pow (log N) 3) (pow (log N) 3)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (cbrt (* (pow (log N) 3) (pow (log N) 3))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 103 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log N)) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (* (log N) (* (cbrt (log N)) (cbrt (log N)))) (cbrt (log N))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 108 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log N)) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (* (log N) (sqrt (log N))) (sqrt (log N))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 109 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (* (log N) 1) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 110 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log N)) (cbrt (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log N)) (cbrt (log N))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (log N))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 111 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log N)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (sqrt (log N)) (* (sqrt (log N)) (log N))) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 112 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/4 (pow N 5)) (pow N 3)) (+ (pow (log N) 3) (* 3/2 (pow N 4)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (- (- (* (pow N 5) 7/4) (* (pow N 4) 3/2)) (fma (* (log N) (log N)) (log N) (* (- N) (* N N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (- (- (* (pow N 5) 7/4) (* (pow N 4) 3/2)) (fma (* (log N) (log N)) (log N) (* (- N) (* N N)))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 115 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (/ 1 (pow N 3)) (+ (* 3 (/ (log (/ 1 N)) (pow N 3))) (/ (pow (log (/ 1 N)) 2) (pow N 3))))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (+ (fma (/ (- (log N)) (* N N)) (/ (- (log N)) N) (fma (/ 3 N) (/ (- (log N)) (* N N)) (/ (/ 1 N) (* N N)))) (- (* (/ 3 N) (* (log N) (log N))) (fma 3/2 (* (/ (log N) N) (/ (log N) N)) (* (/ (/ 3 N) N) (- (log N)))))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (+ (fma (/ (- (log N)) (* N N)) (/ (- (log N)) N) (fma (/ 3 N) (/ (- (log N)) (* N N)) (/ (/ 1 N) (* N N)))) (- (* (/ 3 N) (* (log N) (log N))) (fma 3/2 (* (/ (log N) N) (/ (log N) N)) (* (/ (/ 3 N) N) (- (log N)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 116 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 2) N)) (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 9/2 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (* 3 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))))))))))))))) (+ (* 9/2 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3))) (+ (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 6 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 3 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3))))))))))))))) * * [misc]simplify: iters left: 6 (92 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (- (+ (+ (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))) (/ (log -1) (pow N 3))) 3 (* (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (* (/ (log -1) (* N N)) 9))) (fma 3 (/ (* (log -1) (log -1)) N) (/ (* (* 3/2 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (* N N))))) (+ (+ (fma 9/2 (* (* (/ (log -1) N) (/ (log -1) N)) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (log -1) (/ (- (log -1) (log (/ -1 N))) (* (/ (log -1) N) (/ (log -1) (* N N)))))) (+ (fma 3 (* (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (/ (log (/ -1 N)) (pow N 3))) (* 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) (* N N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (fma 3 (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (pow N 3))) (pow (- (log -1) (log (/ -1 N))) 3)) (* 3 (/ (* (log (/ -1 N)) (log (/ -1 N))) N))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) (/ (log -1) (pow (- (log -1) (log (/ -1 N))) 3))))))) (+ (+ (+ (fma 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (* (log (/ -1 N)) (log (/ -1 N))) (pow N 3)))) (fma (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (pow N 3))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) 9 (/ (/ (* (* 3 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (fma (/ (log (/ -1 N)) (/ N (log -1))) 6 (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* (- (log -1) (log (/ -1 N))) (* N N)))) (+ (+ (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) 3)) (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (pow N 3)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (* (/ (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) 3))))) (fma (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (- (log -1) (log (/ -1 N))) (/ (log -1) (* N N)))) 9/2 (* (/ (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ (* (log (/ -1 N)) (log (/ -1 N))) (pow N 3)))))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (- (+ (+ (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))) (/ (log -1) (pow N 3))) 3 (* (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (* (/ (log -1) (* N N)) 9))) (fma 3 (/ (* (log -1) (log -1)) N) (/ (* (* 3/2 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (* N N))))) (+ (+ (fma 9/2 (* (* (/ (log -1) N) (/ (log -1) N)) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (/ (log -1) (/ (- (log -1) (log (/ -1 N))) (* (/ (log -1) N) (/ (log -1) (* N N)))))) (+ (fma 3 (* (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) (/ (log (/ -1 N)) (pow N 3))) (* 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) (* N N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (fma 3 (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (pow N 3))) (pow (- (log -1) (log (/ -1 N))) 3)) (* 3 (/ (* (log (/ -1 N)) (log (/ -1 N))) N))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) (/ (log -1) (pow (- (log -1) (log (/ -1 N))) 3))))))) (+ (+ (+ (fma 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (/ (* (log (/ -1 N)) (log (/ -1 N))) (pow N 3)))) (fma (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (pow N 3))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) 9 (/ (/ (* (* 3 (log (/ -1 N))) (* (log (/ -1 N)) (log (/ -1 N)))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (fma (/ (log (/ -1 N)) (/ N (log -1))) 6 (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* (- (log -1) (log (/ -1 N))) (* N N)))) (+ (+ (* (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) 3)) (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (pow N 3)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (* (/ (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* (* (/ (log -1) N) (/ (log -1) (* N N))) 3))))) (fma (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (- (log -1) (log (/ -1 N))) (/ (log -1) (* N N)))) 9/2 (* (/ (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ (* (log (/ -1 N)) (log (/ -1 N))) (pow N 3)))))) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 117 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/4 (pow N 5)) (pow N 3)) (* 3/2 (pow N 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (- (fma 7/4 (pow N 5) (pow N 3)) (* 3/2 (pow N 4))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (- (- (fma 7/4 (pow N 5) (pow N 3)) (* 3/2 (pow N 4))) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 118 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (pow (log (/ 1 N)) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (fma (/ (* (log N) (log N)) N) (- 3 (/ 3/2 N)) (fma (* (log N) (log N)) (log N) (* (/ (log N) N) (/ 3 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (- (fma (/ (* (log N) (log N)) N) (- 3 (/ 3/2 N)) (fma (* (log N) (log N)) (log N) (* (/ (log N) N) (/ 3 N)))) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 119 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (* (pow (log (/ -1 N)) 2) (log -1))) (+ (pow (log -1) 3) (+ (* 9 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log -1) 2) N)) (* 9/2 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (- (log -1) (log (/ -1 N))) (pow N 2))))))))))) (+ (* 9/2 (/ (* (pow (log (/ -1 N)) 2) (log -1)) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 3 (* (log (/ -1 N)) (pow (log -1) 2))) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (pow (log (/ -1 N)) 3) (+ (* 6 (/ (* (log (/ -1 N)) (log -1)) N)) (+ (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (* 9 (/ (* (log (/ -1 N)) (pow (log -1) 2)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2))))))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (- (+ (+ (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (* N N)) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) 3/2 (* (* (log (/ -1 N)) (log (/ -1 N))) (* (log -1) 3))) (pow (log -1) 3)) (+ (fma (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (* N N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) 9 (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (+ (/ (* 9/2 (log (/ -1 N))) (/ (- (log -1) (log (/ -1 N))) (* (/ (log -1) N) (/ (log -1) N)))) (fma 3 (/ (log (/ -1 N)) (/ N (log (/ -1 N)))) (/ (* (* 3 (log -1)) (log -1)) N))))) (+ (+ (fma 9/2 (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (* N N)) (/ (log -1) (- (log -1) (log (/ -1 N))))) (* (* (log (/ -1 N)) 3) (* (log -1) (log -1)))) (/ (/ (* (* (log (/ -1 N)) 3) (* (log (/ -1 N)) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* N N))) (+ (fma 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* N N)) (- (log -1) (log (/ -1 N))))) (fma (* (log (/ -1 N)) (log (/ -1 N))) (log (/ -1 N)) (/ (* 6 (log (/ -1 N))) (/ N (log -1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (/ (- (- (+ (+ (fma (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (* N N)) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N))))) 3/2 (* (* (log (/ -1 N)) (log (/ -1 N))) (* (log -1) 3))) (pow (log -1) 3)) (+ (fma (/ (* (* (log (/ -1 N)) (log (/ -1 N))) (/ (log -1) (* N N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) 9 (/ (/ (* (* 3 (log -1)) (* (log -1) (log -1))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (+ (/ (* 9/2 (log (/ -1 N))) (/ (- (log -1) (log (/ -1 N))) (* (/ (log -1) N) (/ (log -1) N)))) (fma 3 (/ (log (/ -1 N)) (/ N (log (/ -1 N)))) (/ (* (* 3 (log -1)) (log -1)) N))))) (+ (+ (fma 9/2 (* (/ (* (log (/ -1 N)) (log (/ -1 N))) (* N N)) (/ (log -1) (- (log -1) (log (/ -1 N))))) (* (* (log (/ -1 N)) 3) (* (log -1) (log -1)))) (/ (/ (* (* (log (/ -1 N)) 3) (* (log (/ -1 N)) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* N N))) (+ (fma 9 (/ (* (log (/ -1 N)) (* (/ (log -1) N) (/ (log -1) N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* N N)) (- (log -1) (log (/ -1 N))))) (fma (* (log (/ -1 N)) (log (/ -1 N))) (log (/ -1 N)) (/ (* 6 (log (/ -1 N))) (/ N (log -1))))))) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 120 / 125 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 121 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (log (/ 1 N))) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (pow (log N) 3) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 122 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (log -1) (log (/ -1 N))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (pow (log N) 3) * [misc]simplify: Simplified (2 1 2) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 123 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (log N) 2) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 124 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (log (/ 1 N)) 2) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * * [misc]progress: [ 125 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (log -1) (log (/ -1 N))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log N) (log N)) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (/ (- (exp (* (log (log1p N)) 3)) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 1 branch expressions: (N) * * * * [misc]regimes: Trying to branch on N from (# # #) * * * [misc]regime: Found split indices: #