* [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: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 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 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 * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (fma n (- (log1p n) (log n)) (- (log1p n) 1)) * * [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 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 3) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 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: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (fma n (- (log1p n) (log n)) (- (log1p n) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (fma n (- (log1p n) (log n)) (- (log1p n) 1)) in n * [misc]taylor: Rewrote expression to (+ (* n (- (log1p n) (log n))) (- (log1p n) 1)) * [misc]taylor: Taking taylor expansion of (* n (- (log1p n) (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]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) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma n (- (log1p n) (log n)) (- (log1p n) 1)) in n * [misc]taylor: Rewrote expression to (+ (* n (- (log1p n) (log n))) (- (log1p n) 1)) * [misc]taylor: Taking taylor expansion of (* n (- (log1p n) (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]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) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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 (* 0 (- (log n))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (+ (* 0 1) (* 1 (- (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (- (log n)) 1) into (- 1 (log n)) * [misc]backup-simplify: Simplify (- 1 (log n)) into (- 1 (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 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 (+ (* 0 -1/2) (+ (* 1 1) (* 0 (- (log n))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 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 (log n)) n) -1)) into (- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1)) * [misc]approximate: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (- (log1p (/ 1 n)) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (- (log1p (/ 1 n)) 1)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) (- (log1p (/ 1 n)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (- (log1p (/ 1 n)) (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]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)) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n))) (- (log1p (/ 1 n)) 1)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 n) (- (log1p (/ 1 n)) (log (/ 1 n)))) (- (log1p (/ 1 n)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (- (log1p (/ 1 n)) (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]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)) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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 (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (log n)) -1) into (- (+ (log n) 1)) * [misc]backup-simplify: Simplify (+ 1 (- (+ (log n) 1))) into (- (log n)) * [misc]backup-simplify: Simplify (- (log n)) 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 (/ 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 0 1) (* 0 0))) into -1/2 * [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 0) into 1 * [misc]backup-simplify: Simplify (+ -1/2 1) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/3 * [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 (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 1/3 -1/2) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 n) 2)) (+ (* 1/2 (/ 1 n)) (- (log (/ 1 n))))) into (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n)))) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (- n)) (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) (- (log1p (/ 1 (- n))) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- n)) (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) (- (log1p (/ 1 (- n))) 1)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- n)) (- (log1p (/ 1 (- n))) (log (/ 1 (- n))))) (- (log1p (/ 1 (- n))) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (- (log1p (/ 1 (- n))) (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]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))) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- n)) (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) (- (log1p (/ 1 (- n))) 1)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- n)) (- (log1p (/ 1 (- n))) (log (/ 1 (- n))))) (- (log1p (/ 1 (- n))) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (- (log1p (/ 1 (- n))) (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]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))) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* (- 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 (* -1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 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) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (log -1) (log n)) -1) into (- (log -1) (+ 1 (log n))) * [misc]backup-simplify: Simplify (+ 1 (- (log -1) (+ 1 (log n)))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- (log -1) (log n)) 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 (- 0) into 0 * [misc]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 (- 0) into 0 * [misc]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 -1/2) (+ (* 0 -1) (* 0 0))) into 1/2 * [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 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 0) into -1 * [misc]backup-simplify: Simplify (+ 1/2 -1) 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 (- 0) into 0 * [misc]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 (+ (* -1 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 0)))) 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 (- (+ (* -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 (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 1/3 -1/2) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- n)) 2)) (+ (* -1/2 (/ 1 (- n))) (- (log -1) (log (/ 1 (- n)))))) into (- (+ (log -1) (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 3) * [misc]approximate: Taking taylor expansion of (- (log1p n) 1) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p n) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (log1p n) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (- 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 (- 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) -1)) into (- n (+ 1 (* 1/2 (pow n 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 n)) 1) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 n)) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 n)) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (log n)) -1) into (- (+ (log n) 1)) * [misc]backup-simplify: Simplify (- (+ (log n) 1)) into (- (+ (log n) 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 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 (- 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 (/ 1 n) 2)) (+ (* 1 (/ 1 n)) (- (+ (log (/ 1 n)) 1)))) into (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (+ (log (/ 1 n)) 1))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 (- n))) 1) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- n))) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- n))) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (log -1) (log n)) -1) into (- (log -1) (+ 1 (log n))) * [misc]backup-simplify: Simplify (- (log -1) (+ 1 (log n))) into (- (log -1) (+ (log n) 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 (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [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 (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- n)) 2)) (+ (* -1 (/ 1 (- n))) (- (log -1) (+ (log (/ 1 (- n))) 1)))) into (- (+ (log -1) (/ 1 n)) (+ 1 (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] 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 2 1) to (λ (n) (fma n (+ (- (log1p n) (log n)) (fma (- (cbrt (log n))) (* (cbrt (log n)) (cbrt (log n))) (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n)))))) (- (log1p n) 1))) * [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 2) to (λ (n) (fma n (+ (- (log1p n) (log n)) 0) (- (log1p n) 1))) * * * * [misc]progress: [ 2 / 66 ] 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 2 1) to (λ (n) (fma n (+ (- (log1p n) (log n)) (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n))))) (- (log1p n) 1))) * [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 2) to (λ (n) (fma n (+ (- (log1p n) (log n)) 0) (- (log1p n) 1))) * * * * [misc]progress: [ 3 / 66 ] 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 2 1) to (λ (n) (fma n (+ (- (log1p n) (log n)) (fma (- (log n)) 1 (* (log n) 1))) (- (log1p 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 (- (log n) (log n)) * [misc]simplify: Simplified (2 2 2) to (λ (n) (fma n (+ (- (log1p n) (log n)) (- (log n) (log n))) (- (log1p n) 1))) * * * * [misc]progress: [ 4 / 66 ] 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 2 1) to (λ (n) (fma n (+ (- (log1p n) (log n)) (fma (- (cbrt (log n))) (* (cbrt (log n)) (cbrt (log n))) (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n)))))) (- (log1p n) 1))) * [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 2) to (λ (n) (fma n (+ (- (log1p n) (log n)) 0) (- (log1p n) 1))) * * * * [misc]progress: [ 5 / 66 ] 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 2 1) to (λ (n) (fma n (+ (- (log1p n) (log n)) (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n))))) (- (log1p n) 1))) * [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 2) to (λ (n) (fma n (+ (- (log1p n) (log n)) 0) (- (log1p n) 1))) * * * * [misc]progress: [ 6 / 66 ] 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 2 1) to (λ (n) (fma n (+ (- (log1p n) (log n)) (fma (- (log n)) 1 (* (log n) 1))) (- (log1p 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 (- (log n) (log n)) * [misc]simplify: Simplified (2 2 2) to (λ (n) (fma n (+ (- (log1p n) (log n)) (- (log n) (log n))) (- (log1p n) 1))) * * * * [misc]progress: [ 7 / 66 ] 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 2 1) to (λ (n) (fma n (+ (- (log1p n) (log n)) (fma (- (cbrt (log n))) (* (cbrt (log n)) (cbrt (log n))) (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n)))))) (- (log1p n) 1))) * [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 2) to (λ (n) (fma n (+ (- (log1p n) (log n)) 0) (- (log1p n) 1))) * * * * [misc]progress: [ 8 / 66 ] 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 2 1) to (λ (n) (fma n (+ (- (log1p n) (log n)) (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n))))) (- (log1p n) 1))) * [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 2) to (λ (n) (fma n (+ (- (log1p n) (log n)) 0) (- (log1p n) 1))) * * * * [misc]progress: [ 9 / 66 ] 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 2 1) to (λ (n) (fma n (+ (- (log1p n) (log n)) (fma (- (log n)) 1 (* (log n) 1))) (- (log1p 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 (- (log n) (log n)) * [misc]simplify: Simplified (2 2 2) to (λ (n) (fma n (+ (- (log1p n) (log n)) (- (log n) (log n))) (- (log1p n) 1))) * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 66 ] 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 2 1) to (λ (n) (fma n (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (log n))) (- (log1p n) 1))) * * * * [misc]progress: [ 13 / 66 ] 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 2 1) to (λ (n) (fma n (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (log n))) (- (log1p n) 1))) * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 66 ] 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 2 1) to (λ (n) (fma n (log (/ (+ n 1) n)) (- (log1p n) 1))) * * * * [misc]progress: [ 16 / 66 ] 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 2 1) to (λ (n) (fma n (log (/ (exp (log1p n)) n)) (- (log1p n) 1))) * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 66 ] 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 2 1) to (λ (n) (fma n (* (+ (sqrt (log1p n)) (sqrt (log n))) (- (sqrt (log1p n)) (sqrt (log n)))) (- (log1p n) 1))) * [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 2) to (λ (n) (fma n (* (+ (sqrt (log1p n)) (sqrt (log n))) (- (sqrt (log1p n)) (sqrt (log n)))) (- (log1p n) 1))) * * * * [misc]progress: [ 28 / 66 ] 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 2) to (λ (n) (fma n (* 1 (- (log1p n) (log n))) (- (log1p n) 1))) * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p n)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (log1p n)) * [misc]simplify: Simplified (2 3 1) to (λ (n) (fma n (- (log1p n) (log n)) (expm1 (log (log1p n))))) * * * * [misc]progress: [ 43 / 66 ] 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 3 1) to (λ (n) (fma n (- (log1p n) (log n)) (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- 1)))) * * * * [misc]progress: [ 44 / 66 ] 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 3 1) to (λ (n) (fma n (- (log1p n) (log n)) (fma (sqrt (log1p n)) (sqrt (log1p n)) (- 1)))) * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log1p n)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (log1p n))) * [misc]simplify: Simplified (2 3 1) to (λ (n) (fma n (- (log1p n) (log n)) (* (+ 1 (sqrt (log1p n))) (- (sqrt (log1p n)) 1)))) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 66 ] 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 (97 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- n (fma (* n n) 1/2 (log n))) * [misc]simplify: Simplified (2 2) to (λ (n) (fma n (- n (fma (* n n) 1/2 (log n))) (- (log1p n) 1))) * * * * [misc]progress: [ 59 / 66 ] 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 (125 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (495 enodes) * [exit]simplify: Simplified to (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) * [misc]simplify: Simplified (2 2) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1))) * * * * [misc]progress: [ 60 / 66 ] 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 (125 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (495 enodes) * [exit]simplify: Simplified to (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) * [misc]simplify: Simplified (2 2) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1))) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (fma (- (* n 1/2) (log n)) n (- n 1)) * [misc]simplify: Simplified (2) to (λ (n) (fma (- (* n 1/2) (log n)) n (- n 1))) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- 1/2 (/ 1/6 n)) (log n)) * [misc]simplify: Simplified (2) to (λ (n) (fma (/ 1 n) (- 1/2 (/ 1/6 n)) (log n))) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log -1) (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- 1/2 (/ 1/6 n)) (log n)) * [misc]simplify: Simplified (2) to (λ (n) (fma (/ 1 n) (- 1/2 (/ 1/6 n)) (log n))) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- n (+ 1 (* 1/2 (pow n 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (fma (- 1/2) (* n n) (- n 1)) * [misc]simplify: Simplified (2 3) to (λ (n) (fma n (- (log1p n) (log n)) (fma (- 1/2) (* n n) (- n 1)))) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (+ (log (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (- (+ (log n) (/ 1 n)) (fma (/ 1 n) (/ 1/2 n) 1)) * [misc]simplify: Simplified (2 3) to (λ (n) (fma n (- (log1p n) (log n)) (- (+ (log n) (/ 1 n)) (fma (/ 1 n) (/ 1/2 n) 1)))) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log -1) (/ 1 n)) (+ 1 (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (+ (+ (log -1) (- (/ 1 n) (log -1))) (- (log n) (fma (/ 1/2 n) (/ 1 n) 1))) * [misc]simplify: Simplified (2 3) to (λ (n) (fma n (- (log1p n) (log n)) (+ (+ (log -1) (- (/ 1 n) (log -1))) (- (log n) (fma (/ 1/2 n) (/ 1 n) 1))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 3) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [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 (* n 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 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 (* n 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 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 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 n) 2)) into (/ 1 (pow n 2)) * [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 n) (/ 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]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 (* 1 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 n) (/ 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]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 (* 1 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 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 n) 2)) into (/ 1 (pow n 2)) * [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 (- n)) (/ 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]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 (* -1 -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 (- n)) (/ 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]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 (* -1 -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 (- 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) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (- (+ (* -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) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- n)) 2)) into (/ 1 (pow n 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ 1/3 n) in (n) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 n) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 n) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 (* 1/3 (/ 1 n)) into (/ 1/3 n) * [misc]approximate: Taking taylor expansion of (/ 1/3 (/ 1 n)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (* 1/3 (/ 1 n)) into (/ 1/3 n) * [misc]approximate: Taking taylor expansion of (/ 1/3 (/ 1 (- n))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 -1) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 (- (/ 0 -1) (+ (* -1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 (- (+ (* -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) (+ (* -1/3 (/ 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 (* -1/3 (/ 1 (- n))) into (/ 1/3 n) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 3) * [misc]approximate: Taking taylor expansion of (- (log1p n) 1) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p n) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (log1p n) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (- 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 (- 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) -1)) into (- n (+ 1 (* 1/2 (pow n 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 n)) 1) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 n)) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 n)) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (log n)) -1) into (- (+ (log n) 1)) * [misc]backup-simplify: Simplify (- (+ (log n) 1)) into (- (+ (log n) 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 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 (- 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 (/ 1 n) 2)) (+ (* 1 (/ 1 n)) (- (+ (log (/ 1 n)) 1)))) into (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (+ (log (/ 1 n)) 1))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 (- n))) 1) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- n))) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- n))) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (log -1) (log n)) -1) into (- (log -1) (+ 1 (log n))) * [misc]backup-simplify: Simplify (- (log -1) (+ 1 (log n))) into (- (log -1) (+ (log n) 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 (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [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 (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- n)) 2)) (+ (* -1 (/ 1 (- n))) (- (log -1) (+ (log (/ 1 (- n))) 1)))) into (- (+ (log -1) (/ 1 n)) (+ 1 (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1)) in n * [misc]taylor: Rewrote expression to (+ (* n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n))) (- (log1p n) 1)) * [misc]taylor: Taking taylor expansion of (* n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 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]taylor: Taking taylor expansion of (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) in n * [misc]taylor: Rewrote expression to (+ (* (- (/ 1/3 n) 1/2) (/ 1 (* n n))) (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1/3 n) 1/2) (/ 1 (* n n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1/3 n) 1/2) in n * [misc]taylor: Taking taylor expansion of (/ 1/3 n) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n n)) in n * [misc]taylor: Taking taylor expansion of (* n 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) 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]taylor: Taking taylor expansion of (- (log1p n) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1)) in n * [misc]taylor: Rewrote expression to (+ (* n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n))) (- (log1p n) 1)) * [misc]taylor: Taking taylor expansion of (* n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 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]taylor: Taking taylor expansion of (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) in n * [misc]taylor: Rewrote expression to (+ (* (- (/ 1/3 n) 1/2) (/ 1 (* n n))) (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1/3 n) 1/2) (/ 1 (* n n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1/3 n) 1/2) in n * [misc]taylor: Taking taylor expansion of (/ 1/3 n) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* n n)) in n * [misc]taylor: Taking taylor expansion of (* n 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) 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]taylor: Taking taylor expansion of (- (log1p n) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 0 1/3) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* -1/2 1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 -1/2) (* 1 1/3)) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (+ (* 1/3 0) (+ (* -1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 1 -1/2) (* 0 1/3))) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 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) (+ (* 1/3 (/ 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 (+ (* 1/3 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (+ (* 0 -1/2) (* 0 1/3)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 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) (+ (* 1/3 (/ 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 (+ (* 1/3 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [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 0) (+ (* 1 0) (+ (* 0 1) (+ (* 0 -1/2) (* 0 1/3))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 n) (+ (* -1/2 (/ 1 n)) (* 1/3 (pow (/ 1 n) 2)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) n) (* 1/2 (/ 1 n))) * [misc]approximate: Taking taylor expansion of (fma (/ 1 n) (fma (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n))) (/ 1 (/ 1 n))) (- (log1p (/ 1 n)) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 n) (fma (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n))) (/ 1 (/ 1 n))) (- (log1p (/ 1 n)) 1)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 n) (fma (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n))) (/ 1 (/ 1 n)))) (- (log1p (/ 1 n)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (fma (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n))) (/ 1 (/ 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]taylor: Taking taylor expansion of (fma (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n))) (/ 1 (/ 1 n))) in n * [misc]taylor: Rewrote expression to (+ (* (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n)))) (/ 1 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 n)) 1/2) in n * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 n)) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 n) (fma (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n))) (/ 1 (/ 1 n))) (- (log1p (/ 1 n)) 1)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 n) (fma (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n))) (/ 1 (/ 1 n)))) (- (log1p (/ 1 n)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (fma (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n))) (/ 1 (/ 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]taylor: Taking taylor expansion of (fma (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n))) (/ 1 (/ 1 n))) in n * [misc]taylor: Rewrote expression to (+ (* (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n)))) (/ 1 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1/3 (/ 1 n)) 1/2) (/ 1 (* (/ 1 n) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 n)) 1/2) in n * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 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]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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 n)) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (log n)) -1) into (- (+ (log n) 1)) * [misc]backup-simplify: Simplify (+ 1 (- (+ (log n) 1))) into (- (log n)) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1)) into -1/2 * [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 0) into 1 * [misc]backup-simplify: Simplify (+ -1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/3 1)) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 0 -1/2) (* 0 1))) into 1/3 * [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 (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 1/3 -1/2) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 n) 2)) (+ (* 1/2 (/ 1 n)) (- (log (/ 1 n))))) into (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n)))) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (- n)) (fma (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) (/ 1 (/ 1 (- n)))) (- (log1p (/ 1 (- n))) 1)) in (n) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- n)) (fma (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) (/ 1 (/ 1 (- n)))) (- (log1p (/ 1 (- n))) 1)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- n)) (fma (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) (/ 1 (/ 1 (- n))))) (- (log1p (/ 1 (- n))) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (fma (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) (/ 1 (/ 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]taylor: Taking taylor expansion of (fma (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (+ (* (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n))))) (/ 1 (/ 1 (- n)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- n))) 1/2) in n * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- n))) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- n)) (fma (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) (/ 1 (/ 1 (- n)))) (- (log1p (/ 1 (- n))) 1)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- n)) (fma (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) (/ 1 (/ 1 (- n))))) (- (log1p (/ 1 (- n))) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (fma (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) (/ 1 (/ 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]taylor: Taking taylor expansion of (fma (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (+ (* (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n))))) (/ 1 (/ 1 (- n)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1/3 (/ 1 (- n))) 1/2) (/ 1 (* (/ 1 (- n)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- n))) 1/2) in n * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 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]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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- n))) 1) 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (log -1) (log n)) -1) into (- (log -1) (+ 1 (log n))) * [misc]backup-simplify: Simplify (+ 1 (- (log -1) (+ 1 (log n)))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [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 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [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 -1/2) (* 0 -1)) into 1/2 * [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 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 0) into -1 * [misc]backup-simplify: Simplify (+ 1/2 -1) 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 (- (+ (* -1 (/ 0 -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 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* -1/3 1)) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 -1/3) (+ (* 0 -1/2) (* 0 -1))) 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 (- (+ (* -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 (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 1/3 -1/2) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- n)) 2)) (+ (* -1/2 (/ 1 (- n))) (- (log -1) (log (/ 1 (- n)))))) into (- (+ (log -1) (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [misc]simplify: Simplified (2 2 2 2) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (pow n (- 2)) (/ 1 n)) (- (log1p n) 1))) * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 2 2 2) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (pow (* n n) (- 1)) (/ 1 n)) (- (log1p n) 1))) * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p n)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (log1p n)) * [misc]simplify: Simplified (2 3 1) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (expm1 (log (log1p n))))) * * * * [misc]progress: [ 33 / 69 ] 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 3 1) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- 1)))) * * * * [misc]progress: [ 34 / 69 ] 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 3 1) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (fma (sqrt (log1p n)) (sqrt (log1p n)) (- 1)))) * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log1p n)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (log1p n))) * [misc]simplify: Simplified (2 3 1) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (* (+ 1 (sqrt (log1p n))) (- (sqrt (log1p n)) 1)))) * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow n 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n n)) * [misc]simplify: Simplified (2 2 2) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1))) * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow n 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n n)) * [misc]simplify: Simplified (2 2 2) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1))) * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow n 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n n)) * [misc]simplify: Simplified (2 2 2) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1))) * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/3 n) * [misc]simplify: Simplified (2 2 1 1) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/3 n) * [misc]simplify: Simplified (2 2 1 1) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1))) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/3 n) * [misc]simplify: Simplified (2 2 1 1) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1))) * * * * [misc]progress: [ 64 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- n (+ 1 (* 1/2 (pow n 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (fma (- 1/2) (* n n) (- n 1)) * [misc]simplify: Simplified (2 3) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (fma (- 1/2) (* n n) (- n 1)))) * * * * [misc]progress: [ 65 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 n) (+ (* 1/2 (/ 1 (pow n 2))) (+ (log (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (- (+ (log n) (/ 1 n)) (fma (/ 1 n) (/ 1/2 n) 1)) * [misc]simplify: Simplified (2 3) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (+ (log n) (/ 1 n)) (fma (/ 1 n) (/ 1/2 n) 1)))) * * * * [misc]progress: [ 66 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log -1) (/ 1 n)) (+ 1 (+ (* 1/2 (/ 1 (pow n 2))) (log (/ -1 n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (+ (+ (log -1) (- (/ 1 n) (log -1))) (- (log n) (fma (/ 1/2 n) (/ 1 n) 1))) * [misc]simplify: Simplified (2 3) to (λ (n) (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (+ (+ (log -1) (- (/ 1 n) (log -1))) (- (log n) (fma (/ 1/2 n) (/ 1 n) 1))))) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow n 2))) n) (* 1/2 (/ 1 n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- (/ 1/3 n) 1/2) n) * [misc]simplify: Simplified (2) to (λ (n) (fma (/ 1 n) (- (/ 1/3 n) 1/2) n)) * * * * [misc]progress: [ 68 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- 1/2 (/ 1/6 n)) (log n)) * [misc]simplify: Simplified (2) to (λ (n) (fma (/ 1 n) (- 1/2 (/ 1/6 n)) (log n))) * * * * [misc]progress: [ 69 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log -1) (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- 1/2 (/ 1/6 n)) (log n)) * [misc]simplify: Simplified (2) to (λ (n) (fma (/ 1 n) (- 1/2 (/ 1/6 n)) (log n))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (fma n (fma (- (/ 1/3 n) 1/2) (/ 1 (* n n)) (/ 1 n)) (- (log1p n) 1)) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 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 250 of 8000 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 125 of 8000 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 62 of 8000 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 31 of 8000 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 15 of 8000 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 7 of 8000 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 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 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 8000 points with exact outputs